Number
list: lista
dei numeri (it), liste des nombres (fr), lista de números (es,
por), Liste besonderer Zahlen (ger), getallen en getalverzamelingen (du), seznam čísel (cz), 數表 (ch), 数の一覧 (jap), список чисел (ru), שמות מספרים (he).
0-6 |
7-12 |
13-23 |
24-69 |
70-200 |
201-684 |
5H0P
| 70 |
is
a Pell
number and the smallest abundant
number which is not the sum of some subset of its divisors.
=
7 + 8 + 9 + 10 + 11 + 12 + 13
= 2(62- 12) = 2(6 + 1)(6 -1)
702 =
12 + 22 + 32 + 42 +
... + 222 + 232 + 242
Symbolism:
70 corresponds to the totality of an evolution, an evolutionary
cycle being fully completed, according to Saint Augustin.
The corresponding Hebraic letter is 'ain, which corresponded
to the sixteenth mystery of the Tarot: the house-God, symbol of
fall, collapse, catastrophe - there is agreement with the idea
of termination of cycle, according to R. Allendy.
In the Bible:
The 70 weeks prophecy of the book of Daniel. (Dn 9,24)
The 70 years of captivity of Babylonian of two of the twelve tributes
of Israel. (2 Ch 36,21)
Ezekiel sees 70 ancients adoring the idols. (Ezk 8,11)
70
liters of water are needed to produce just 1 apple!
|
| 71 |
divides
the sum of the antecedent primes,
in fact:
2 + 3 + 5 + 7 + 11 + ... + 67 + 71 is divisible by 71.
712 =
7!+1
713 = 357911 (consecutive
primes)
|
| 72 |
is
the smallest number that can be written as a sum of two primes,
each ending with the digit 1, in two distinct ways:
72 = 11 + 61 = 31 + 41
is the largest number of spheres that can touch another sphere in
a lattice packing in 6 dimensions.
Dividing 72 by the interest rate (x percent),
you obtain the number of years you should wait to double
your initial capital.
72
hours = 3 days
= 23 · 32
=
192 - 172
= 112 - 72
(difference of 2 consecutive squared primes)
|
| 73 |
is
smallest prime whose digits are reversed in base 22 and the smallest
number (besides 1) which is one less than the double of its reverse:
2 x 37 - 73 = 1
is a divisor of 10001.
732 =
482 + 552 (Pythagorean
triple).
365
days in a year : 5 = 73
| 73 |
= |
14 |
+ |
21 |
+ |
13 |
+ |
2 |
+ |
5 |
+ |
18 |
| |
|
N |
|
U |
|
M |
|
B |
|
E |
|
R |
(each
number of the sum represents a letter in its alphabetical order)
is
the smallest number with the property that it and its neighbors
can be written as a sum of 2 squares.
72 = 62 + 62
73 = 32 + 82
74 = 52 + 72
- Found by Daniel Clemente from
the Polytechnical University of Catalonia
|
| 74 |
is
a nontotient.
is the number of non-Hamiltonian polyhedra
with a minimum number of vertices.
74% is the storage density of a volume filled with small spheres. |
| 75 |
is
the number of orderings of 4 objects with ties allowed.
is a repfigit
number...
If you
take the "digit sum" 7+5=12 and then continue adding
in twos in "fibonacci style" look what happens:
7 + 5 = 12
5 + 12 = 17
12 + 17 = 29
17 + 29 = 46
29 + 46 = 75 ...arriving back at 75!
755 =
195 + 435 + 465 + 475 +
675
75
liters of water are needed to produce 1 glass of
beer (250 ml)!
|
| 76 |
is
an automorphic
number:
762 = 5776
763 = 438976
764 = 33362176 ...
= 8
+ 13 + 21 + 34 (sum of consecutive Fibonacci
numbers)
= 32 +
32 +
32 +
72 (sum
of primes)
|
| 77 |
is
the largest number that cannot be written as a sum of distinct
numbers whose reciprocals add up to 1. For example:
2 + 6 + 8 + 10 + 12 + 40 = 78 and
1/2 + 1/6 + 1/8 + 1/10 + 1/12 + 1/40 = 1
is the sum of 3 squares:
42 + 52 + 62
is the sum of the first 8 prime numbers:
2 + 3 + 5 + 7 + 11 + 13 + 17 + 19
=
1001 / (77 - 37 - 27) - By G. Sarcone
= 4x4 + 5x5 + 6x6
= 392 - 382
= 92 - 22
Any
number having a abcabc numeral
pattern is divisible by 77 (replace each letter with a digit.
E.g. 123123)
Seventy-seven
is the smallest number requiring five syllables in English.
French
speaking people have two different names for seventy-seven:
'Soixante-dix-sept' (sixty and seventeen) and 'septante-sept'
(Swiss French people).
During
World War II in Sweden at the border with Norway, "77" (sjuttiosju)
was used as a 'Shibboleth' (discriminatory password), because
the tricky pronunciation in Swedish (approx. 'shütioohshü')
made it easy to instantly discern whether the speaker was native
Swedish, Norwegian, or German.
|
| 78 |
is
the lowest number which can be written as the sum of of 4 distinct squares in
3 ways. |
| 79 |
is
a permutable prime,
and the smallest prime whose sum of digits is a 4th power.
is a Pillai
prime. A Pillai prime is a prime p for which there
is an integer n > 0 such that the factorial of n is
1 less than a multiple of the prime, but the prime is not 1 more
than a multiple of n, in short: n! ≡ -1
(mod p) but p ≠ 1 (mod n)
79 =
11 + 31 + 37 and
97 = 11 + 13 + 73 (sums of reversible primes)
=
(7 x 9) + (7 + 9) (this also works for 19, 29,
39, 49, ...)
=
402 - 392 = 40 + 39
= 27 - 72
= 22 + 52 + 52 + 52 (sum
of squares)
≈ 8.8882
x2 - 79x
+ 1601, if you replace x in the previous expression with any
number from 1 to 79, you always obtain a prime number!
|
| 80 |
is
the product of 5 primes.
is the smallest number n where n and n+1
are both products of 4 or more primes (80
= 2 x 2 x 2 x 2 x 5 and 81 = 3 x 3 x 3 x 3).
=
4 scores
= n x
2(n-1) = 5 x 24
= 3
+ 5 + 7 + 9 + 11 + 13 + 15 (sum of consecutive
odd numbers)
= 7 + 73 = 13 + 67 = 19 + 61 = 37 + 43 (4
distinct sums of 2 primes)
= 23 + 23 + 43 (sum
of 3 positive cubes)
= 42 +
82 = 42 + 43
= 92 - 12 = 2922 - 443
= 6!
/ 32
802 =
43 + 83 +
123 + 163
The "80:20
rule" originated from Vilfredo Pareto, an Italian economist.
He discovered a common phenomenon: about 80% of the wealth in
most countries was controlled by a consistent minority -- about
20% of the people.
In French
there are 3 ways to say 80:
'quatre-vingts', in France, and Quebec,
'huitante', in Switzerland,
and 'octante', in Belgium.
|
| 81 |
the
sum of its digits is a square.
is the square of
the sum of its digits.
is the 3rd lowest prime power of a prime power of a prime.
=
34 = 92
= 25 + 72
= 412 - 402 = 41 + 40
x2 - 81x
+ 1681, if you replace x in the previous expression with any
number from 1 to 80, you always obtain a prime number!
1/81
= 0.123456791234567912345679...
(The result is a repeating decimal containing every digit from
1-9 except for 8) - Posted by Ting Wang
|
| 82 |
is
the number of different ways you can tile 6-hexes.
= 1 + 5 + 21 + 55 (sum of Fibonacci
numbers)
= 19 + 20 + 21 + 22 (sum of consecutive integers)
= 12 + 92 |
| 83 |
is
the number of zeroless squares that are composed of the digits 1
up to 9. - Beilier
= 11
+ 31 + 41 (sum of the first 3 primes ending with
1)
it seems
there are over 1083 elementary particles with non-zero
mass in the known universe.
|
| 84 |
is
a tetrahedral
number:
84 = 1 + 3 + 6 + 10 + 15 + 21 + 28 (sum of the first
7 triangular numbers)
is the highest order of a permutation on
14 elements.
= 41
+ 43 (sum of twin primes)
= 41 + 42 + 43
= 32 + 52 + 52 + 52 (sum
of cubes)
1000
+ 84 = 1084 (one thousand eighty-four) is the
smallest natural number whose name contains the five vowels a,
e, i, o, u in order.
|
| 85 |
is
the largest known n for which 12+22+32+...+n2 =
1+2+3+...+m has a solution.
85/38 is a good approximation of 5.
= 22 +
92
= 62 + 72 (sum of 2 consecutive squares)
= 40 + 41 + 42 + 43 (sum
of powers of 4)
852 = 132 + 842 = 362 +
772
|
| 86 |
is
an happy
number.
is the largest known n for which 2n contain
NO zeros:
286 = 77,371,252,455,336,267,181,195,264
(26 digits).
= 222
in base 6.
= 20 + 21 + 22 + 23
= 32 + 42 + 52 + 62 (sum
of consecutive squares)
used
as a verb, to "eighty-six" means to "ignore" or "get
rid of".
|
| 87 |
is
the sum of the squares of
the first 4 primes:
22 + 32 + 52 + 72
= 3
x 29
= 12 + 13 + 14 + 15 + 16 +17
= 44 + 43 = 442 - 432
By tradition, 87 is an unlucky score for cricketers (100-13).
|
| 88 |
is
the only number known whose square has
no isolated digits.
A piano has 88 keys.
= 232 - 212
= 132 - 92
It can be read the same upside down or when viewed in a mirror.
The
8th letter of the alphabet is 'H'. 8 two times signifies 'HH',
shorthand for the Nazi greeting:"Heil Hitler". 88 is
often found on hate group flyers, in both the greetings and closing
comments of letters written by neo-Nazis, and in e-mail addresses.
|
| 89 |
is
a prime and a Fibonacci number.
generates
a cyclic number series where each term is the sum of the square
digits of the previous number:
89 - 145 - 42 - 20 - 4 - 16 - 37 - 58 - 89 - ...
892 =
392 + 802 (Pythagorean
triple)
= 81 + 92
= 23 + 33 + 33 + 33
|
| 90 |
is
the number of degrees in a right angle.
= 1
x 2 x 32 x 5
= 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 (sum of
the first 9 consecutive even numbers)
= 7 + 11 + 13 + 17 + 19 + 23 (sum of consecutive
primes)
= 22 + 32 + 42 + 52 +
62 (sum of consecutive squares)
= 91 + 92 = 102 - 101
Sturgeon's
Law: "90% of everything is rubbish"
Some
'scientific' reviews state humans are "90% water" when
in fact newborns have approx. 78%, 1-year-olds around 65%, adult
men about 60%, and adult women around 55%. See mythical
numbers.
In
Italian pezzo da novanta (piece of ninety) means 'big
boss' or 'big shot'. In Italy, when someone is or has been frightened
by something unexpected, it is used to say la paura fa novanta! (the
scare does ninety!).
|
| 91 |
is
a triangular,
an hexagonal and
also a square pyramidal
number.
is a semiprime and
the smallest pseudoprime to
base 3.
= 1
+ 2 + 3 + ... + 11 + 12 + 13 (sum of consecutive
numbers)
= 12 + 22 + 32 + 42 +
52 + 62 (sum of consecutive
squares)
= 33 +
43
= 63 - 53
The
traditional dimensions of the tatami
mat (畳) are 91 x 182 cm.
In
2006, 91 per cent of all known executions took
place in China, Iran, Pakistan, Iraq, Sudan and the USA.
Executions in 2006:
China: 1,010+; Iran: 177; Pakistan: 82; Iraq: 65+; Sudan: 65+;
USA: 53; Saudi Arabia: 39+; Yemen: 30+; Vietnam: 14; Kuwait: 10+;
Somalia: 7+; Singapore: 5+; Egypt: 4+; Jordan: 4+; Japan: 4; Malaysia:
4; Indonesia: 3+; Bahrain: 3; Mongolia: 3; North Korea: 2; Syria:
2; Uganda: 2; Bangladesh: 1; Botswana: 1; Equatorial Guinea: 1.
Note: '+' symbol indicates that the figure is a
minimum one; the true figure may be higher due to state secrecy
or a lack of available information.
|
| 92 |
=
32 + 32 + 52 + 72 (sum
of squares)
is the
number of different arrangements of 8
non-attacking Queens on an 8 by 8 chessboard (i.e. no two
Queens should share the same row, column, or diagonal).
Multiply
92 by 8, then that product by 8, then that product by 8, and so on...
List the products one under the other, shifting the digits two places
to the right as shown below. Continue indefinitely. Add. The sum
converges to a string of 9s:
92
736
5888
47104
376832
3014656
24117248
192937984
9999999...
|
| 93 |
=
333 in base 5.
With just 9 straight cuts a potato can be divided into 93 pieces.
= 22 +
52 + 82 (sum of squares)
= 13 + 14 + 15 + 16 + 17 + 18
|
| 94 |
is
a 17-gonal number and a Smith
number (a Smith number is a composite number the sum of whose
digits is the sum of the digits of its prime factors excluding
1, here: 9 + 4 = 2 + 4 + 7).
94! -
1 is prime. |
| 95 |
is
the number of planar
partitions of 10.
=
12 + 22 + 32 + 92 (sum
of squares)
= 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15
= 5 + 7 + 11 + 13 + 17 + 19 + 23 (sum of consecutive
primes)
|
| 96 |
is
the smallest number that can be written as the difference of
2 squares in
4 ways:
= 252 - 232 = 142 - 102
= 112 - 52 = 102 - 22
= 5! – 4!
= 23 + 23 + 23 + 23 +
43 (sum of cubes)
= 27 - 25 |
| 97 |
is
the largest two-digit prime whose cube is zeroless.
97/56 is a good approximation of 3.
curiously, the numbers 97, 907, 9007, 90007 and 900007 are all
prime.
972 =
652 + 722 (Pythagorean
triple)
= 492 -
482 = 49 + 48
= 29 + 31 + 37 (sum of consecutive primes)
= 4!4 + 4/4
0.097 is
the average
brain weight of a goldfish (in grams).
|
| 98 |
is
the lowest number such that its first 5 multiples contain the
digit 9: 098, 196, 294,
392, 490
= 14 +
24 + 34
98.14072356
is 9.9066 squared, and it used the digits 1, 2, 3, 4, 5, 6, 7,
8, 9, and 0 exactly once.
|
| 99 |
is
a palindromic number and a Kaprekar
number.
= 23 +
33 + 43
= 4 + 5 + 6 + 7 + ... + 11 + 12 + 13 + 14
99/70 is a good approximation of 2.
992 = 9801 and 98 + 01 = 99
XCIX
or IC?
Rules regarding Roman numerals often state that C cannot be preceded
by I or V, only by X. Thus, one should represent the number 'ninety-nine'
as XCIX, not as the 'shortcut' IC.
This 'problem' manifested in questions as to why 1999 was not written
simply IMM or MIM as opposed to the virtually universal MCMXCIX.
Machoumearobilengmonoolemongametsoarobilengmonoolemong means
'99' in the language of the Bassoutos tribe.
Riddle:
What goes "99 bonk"?
Answer: A Centipede with a wooden leg!
|
100
C
|
is
the smallest square which
is also the sum of 4 consecutive cubes.
= 33
x 3 + 3/3
= 5 x 5 x 5 - 5 x 5
= (8 + (8 + 8)/8)(8 + (8 + 8)/8)
= 1
+ 2 + 3 + 4 + 5 + 6 + 7 + 8 x 9
= (1 + 2 - 3 - 4)(5 - 6 - 7 - 8 - 9)
= 123 - 45 - 67 + 89
= 56 + 34 + 90/(82-71) [by G. Sarcone]
(in the operation above all digits from 0 to 9 were used once)
= 13 +
23 + 33 + 43 = (1 + 2 + 3 +
4)2
= 262 - 242 = 62 + 82
= 47
+ 53 (sum of consecutive primes)
= 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 (sum of
consecutive primes)
The
human brain is a busy place. We each have about 100 billion
neurons. Each of the 100 billion neurons actively communicates
with 1000 - 10,000 others.
Each of the 100 billion neurons can be 'on' or 'off', and can generate
2100,000,000,000 (or roughly 1030,000,000,000)
unique brain states. The number of the possible brain states is
greater than the number of particles in the universe!
|
| 101 |
1012 =
202 + 992 (Pythagorean
triple)
is the
number of partitions of
13.
|
| 102 |
is
the lowest number with 3 different digits.
= 2
x 3 x 17
|
| 103 |
is
the only odd prime number that divides the number of bones in
a human body.
= 22 +
52 + 52 + 72
is
the smallest number other than 1 that is impossible to score
with two darts.
|
| 104 |
=
13 x 23 = (13 - 23)3 - 13 -
23
is the
lowest known number of unit line segments that can exist in the
plane, 4 touching at every vertex.
|
| 105 |
is
the largest number n known such that n - 2k is prime for
k>1. - Paul Erdös
= 1 +
2 + 3 + … + 13 + 14 = 6 + 7 + 8 + … + 14 + 15 =
= 12 + 13 + … + 17 + 18 = 15 + 16 + 17 + 18 + 19 + 20 =
= 19 + 20 + 21 + 22 + 23 = 34 + 35 + 36 = 52 + 53 (5
possible sums of consecutive integers) |
| 106 |
is
the number of trees with
10 vertices.
The sum of the first 106 digits of Pi is prime. -
Sellers
= 25
+ 26 + 27 + 28 (sum of consecutive integers)
= 52 + 92 = 22 + 22 +
72 + 72 |
| 107 |
is
the exponent of a Mersenne
prime.
= 23 +
23 + 33 + 43
is the
smallest positive integer requiring 6 syllables in English.
|
| 108 |
is
3 hyperfactorial.
can be written as the sum of a cube and a square (a3 + b2)
in two ways (33 + 92 and 23 +
102). This is the smallest number with this property.
Every angle of a pentagon measures 108°.
There are 108 different types of heptominoes.
= 36
x 3 = 27 x 4
= 00 x 11 x 22 x 33
= 33 + 33 + 33 + 33 =
62 + 62 + 62
= 12 x 9 and 1 + 0 + 8 = 9
= 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16
= 32 + 52 + 52 + 72 (sum
of square primes)
= 8 + 15 + 29 + 56 (sum
of consecutive Tetranacci numbers)
is
a significant number in Buddhism. It represents the number of
temptations that human beings face, which tie them to the Wheel
of samsara.
There are many religious elements related to this number - a
bell is rung 108 times to bring in the New Year in Japan.
is
the number of beads in a Buddhist Japa
mala (kind of rosary). They implement the following
formula: 6 x 3 x 2 x 3 = 108
6 senses (sight, sound, smell, taste, touch, thought),
3 aspects of time (past, present, future),
2 conditions of heart (pure or impure),
3 possibilities of sentiment (like, dislike, indifference).
is
the sum of the numbers 4, 8, 15, 16, 23 and 42 that frequently
appear throughout the TV series 'LOST'.
The
diameter of the sun is 108 times the diameter of the Earth.
|
| 109 |
is
the smallest number which is palindromic in
bases 5 and 9.
Using only the coins in circulation in the UK, you can pay the
sum of 30 pence in 109 different ways.
The interior angle of a tetrahedron is 109° 28’.
Soap bubbles can only join each other at one or two angles: 109
or 120 degrees. No other angles are possible.
= 31
+ 37 + 41 (sum of consecutive primes)
1092 = 602 + 912 (Pythagorean
triple)
|
| 110 |
is
the smallest number that is the product of two different substrings.
= 52 +
62 + 72 (3 consecutive squares)
= 2 x 55 = 5 x 22
= 1x2 + 2x2 + 3x2 +
... + 8x2 + 9x2 + 10x2
is
also known as "eleventy" according to the number naming
system invented by J. R. R. Tolkien.
|
| 111 |
is
the smallest possible magic constant of a 3 x 3 magic
square of distinct primes.
is
the ninth number that stays the same when written upside down.
is also the 'magic constant' of the n-Queens
Problem for n = 6.
= 3
x 37
= 12 x 9 + 3
= 16 + 17 + 18 + 19 + 20 + 21
|
| 112 |
is
an abundant
number and a heptagonal
number.
is the side of the smallest square that
can be tiled with distinct integer-sided squares.
=
24 x 7
|
| 113 |
is
a permutable prime.
355/113 = 3.1415929... A good approximation of .
There
are 13 consecutive divisible integers (non-primes) between 113
and 127.
For
Tintinologists
113, and not 57b as depicted in the comic book 'the
Calculus Affair' by Hergé, is the number of the street
where the house of the professor Alfredo Topolino is still located
in Nyon. Actually, the current full address is: 113, route de Saint-Cergue,
1260 Nyon, Switzerland.
|
| 114 |
appears
in the Padovan
sequence, preceded by the terms 49, 65, 86 (it is the sum
of the first two of these).
= 222
in base 7.
114 = 19 x 6 and 1 + 1 + 4 = 6
The
Muslim holy book the Quran is divided into 114 suras or chapters.
|
| 115 |
is
a heptagonal
pyramidal number and a lucky
number.
is the number of 8-vertex rooted
trees.
= 23
x (2 + 3)
= 5! - 5
|
| 116 |
is
a noncototient.
is a value of n for which n!+1 is prime. |
| 117 |
is
the lowest value of the longest edge in a Heronian
Tetrahedron.
1172 +/- 2 are primes.
= 113 -
23 = 53 - 23
|
| 118 |
is
the smallest even number not differing by 1 or a prime number from
one of its prime neighbors. - S. Wagler
is the lowest number which has 4 different partitions into
3 parts with the same product. |
| 119 |
is
the smallest 3-digit number having two prime digit permutations:
191 and 911.
= 17
+ 19 + 23 + 29 + 31 (sum of consecutive primes)
|
| 120 |
is
a triangular number.
is the smallest number to appear 6 times in Pascal's
triangle.
= 5!
120
liters of water are needed to produce 1 glass of
wine (125 ml)!
|
| 121 |
is
the only square known
of the form 1+p+p3+p3+p4,
where p is prime (121
= 30 + 31 + 32 + 33 +
34).
121
= 38 + 83 (palindromic
sum)
=
5! + 1
= 37 + 41 + 43 (sum of 3 consecutive primes)
= 112
= 1 + 3 + 5 + 7 + 9 + 11 + ... + 19 + 21 (sum of
consecutive odd numbers)
|
| 122 |
=
29 + 30 + 31 + 32
= 115 + (1 + 1 + 5)
Palindromic
curiosities with 122:
122 x 122 = 14884 and 48841 = 221 x 221
122 x 213 = 25986 and 68952 = 312 x 221
|
| 123 |
is
the 10th Lucas
number.
=
18 + 19 + 20 + 21 + 22 + 23
123
x 2123 – 1 = 1.30796035 x 1039 =
= 1307960347 8523572189 3734614731 5859062783 =
= prime number
123 modulo 12 = 3 --
G. Sarcone
is
the symbol of the Holy Trinity: Father, Son and Holy Spirit.
The number 123 is used 3 times in the Bible.
|
| 124 |
is
an untouchable
number.
is the smallest number such that its first 3 multiples contain
the digit 2.
= 5 +
7 + 11 + 13 + 17 + 19 + 23 + 29 (sum of 8 consecutive primes)
= 27 - 22
= 52 + 52 + 52 + 72 |
| 125 |
is
the smallest number which is both a sum of distinct prime squares
and a prime cube, and is the only number known that contains
all its proper divisors as proper substrings.
= 125 = 51+2
= 53 = 112 + 22 |
| 126 |
is
a film size used in easy-to-use cameras.
= 126 = 6 x 21
= 2 x 32 x 7
= 9C4 |
| 127 |
is
a Mersenne
prime number.
= 127 = 27 - 1
is the
sum of seven powers of 2:
= 20 + 21 + 22 + 23 +
24 + 25 + 26
You can arrange the number 127 as a pattern of concentric
hexagons.
|
| 128 |
is
the largest number which cannot be written as the sum of distinct squares.
= 27
= 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 (sum of consecutive
odd numbers) |
| 129 |
is
the smallest number that can be expressed as the sum of 3 squares in
4 ways. |
| 130 |
is
a noncototient.
is the number of functions from 6 unlabeled points to themselves.
= 12 +
22 + 52 + 102 (sum
of the squares of the first 4 divisors)
|
| 131 |
is
a permutable
prime, and the smallest palindromic
prime with 3 primes embedded: 13, 3 and 31.
= 41 + 43 + 47 (sum of consecutive primes) |
| 132 |
is
the 6th Catalan
number.
is the smallest number which is the sum of all of the 2-digit numbers
that can be formed with its digits. |
| 133 |
is prime,
and its reversal (331) is also prime.
is the smallest integer n for which the sum of the proper
divisors of n divides phi(n).
= 222+
(2 x 3)2 + 322 -
G. Sarcone
=
23 +
53
|
| 134 |
1342 -
672 = 13467
= 8C1 + 8C3 + 8C4 |
| 135 |
=
11 + 32 + 53
= (1 x 3 x 5)( 1 + 3 +5) |
| 136 |
is
the sum of the cubes of
the digits of the sum of the cubes of
its digits:
136 = 23 + 43 + 43
13 + 33 + 63 = 244 |
| 137 |
divides
11,111,111.
is the maximum number of 7th powers that are needed
to sum to any arbitrarily large number.
is the largest prime factor of 123,456,787,654,321.
is the average
brain weight of a baboon (in grams).
= 10001
/ 73
|
| 138 |
is
the smallest possible product of 3 primes,
one of which is the concatenation of the other two (2 x 3 x 23).
is the sum of four consecutive primes: 29+31+37+41
138
+ 138/2 = 207 and 0.207207207... x 666 =
138
'Untrioctium'
is an unsynthesized chemical element with atomic number 138 and
symbol Uto.
is
considered as an occult number and one of its factors (23) is
also an occult number!
|
| 139 |
is
the number of unlabeled topologies with
5 elements.
is a prime and a happy number (see also number 86). To find out whether
a number is 'happy' or not, you must square its digits, add them
up, and go on doing this... If you eventually get to 1, you have
a happy number. For instance:
12 + 32 + 92 = 91
92 + 12 = 82
62 + 82 = 100
12 + 02 + 02 = 1 |
| 140 |
is
the smallest harmonic
divisor number:
12 / (1/1 + 1/2 + 1/4 + 1/5 + 1/7 + 1/10 + 1/14 + 1/20 + 1/28 +
1/35 + 1/70 + 1/140) = 5
=
12 + 22 + 32 + 42 +
52 + 62 + 72
140
liters of water are needed to produce 1 cup of
coffee (125 ml)!
|
| 141 |
is
a Cullen
number (n x 2n + 1 is a Cullen
prime when n = 141).
= 23 +
23 + 53 (sum of cubes)
|
| 142 |
is
the number of 6-vertex planar
graphs. |
| 143 |
is
the smallest quasi-Carmichael number
in base 8.
= 11
x 13 (product of twin
primes)
= 1001 / 7
= 22 + 32 + 32 + 112
= - 34 - 44 - 54 - 64 +
74
=
43 + 47 + 53 = 11 + 13 + 17 + 19 + 23 + 29 + 31 (sum
of consecutive primes)
|
| 144 |
is
the only square in
the Fibonacci
sequence (apart from 1). Moreover, it is the 12th term of
the Fibonacci sequence.
Reversing
12 and 144 in the equality 122 = 144 gives 441
= 212.
1445 =
275 + 845 + 1105 + 1355
=
71 + 73 (sum of consecutive primes)
= 3! x 4! = 4! + 5!
= 42 + 2 x 82
= 62 + 3 x 62
One
of the largest numbers, that is not a power of 10, that has a
specific name: 'gross' (= dozen dozen).
|
| 145 |
is
a centered
square number and also a pentagonal
number.
is a product of 2 distinct primes: 5 x 29
= 1!
+ 4! + 5!
= 43 + 34
= 122 + 12 = 82 + 92 (sum
of squares)
= (12 + 22)(22 + 52)
= 33 + 33 + 33 + 43 (sum
of cubes)
|
| 146 |
is
an octahedral
number. An octahedral number is of the form (2n3 + n)/3.
= 222
in base 8
= 52 + 112
= (12 + 12)(32 + 82)
1462 +
1 is prime
|
| 147 |
is
an odd nonprime number divisible by exactly 3 primes:
= 3 x 7 x 7
is the number of sided 6-hexes.
|
| 148 |
is
an heptagonal
number.
is the number of 6-vertex perfect
graphs.
= 32 +
32 + 32 + 112 = 52 +
52 + 72 + 72 (sum
of squares)
= 22 + 122
= (12 + 12)(52 + 72) |
| 149 |
is
the concatenation of the first 3 positive squares.
= 62 +
72 + 82 (sum of consecutive
squares)
= 23 + 23 + 23 + 53 (sum
of cubes)
= 23 + 43 + 83 (sum of 3 primes which are not sum
of two squares) |