Order of magnitude (numbers)

This list compares the various sizes of the positive Nombre S, including the calculation of the things, the numbers without dimension and the Probabilité S.

Smaller than 10^-36

Data-processing - Number with floating decimal point: 5x10^-324 is roughly equal to the smallest positive value different from zero which can be represented by a value with IEEE floating decimal point with double precision double precision.
Data-processing - Number with floating decimal point: 1,4012985x10^-45 is roughly equal to the smallest positive value different from zero which can be represented by a value with IEEE floating decimal point with single precision.

10^-36

(0,000 000 000 000 000 000 000 000 000 000 000 001)

10^-33

(0,000 000 000 000 000 000 000 000 000 000 001)

10^-30

(0,000 000 000 000 000 000 000 000 000 001)

10^-27

(0,000 000 000 000 000 000 000 000 001)

10^-24

(0,000 000 000 000 000 000 000 001)

ISO: Yocto - there

10^-21

(0,000 000 000 000 000 000 001, short scale: one sextillionnième, long scale: one trilliardième)

ISO: Zepto - Z

10^-18

(0,000 000 000 000 000 001, short scale: one quintillionnième, long scale: one trillionnième)

ISO: Atto - has

10^-15

(0,000 000 000 000 001, short scale: one quadrillionnième, long scale: one billiardième)

ISO: Femto - F

10^-12

(0,000 000 000 001, short scale: one trillionnième, long scale: one billionnième)

ISO: Pico - p

mathematical : All in all, chances to obtain face 40 times of continuation with a traditional part.

10^-9

(0.000 000 001; short scale: one billionnième; long scale: a billionth)

ISO: Nano - N

Lottery: the chances to gain the Grand Prix (by having the 6 numbers) with the US lottery Powerball Multistate Lottery, with only one ticket, the rules of 2006, are of 146 107 962 against 1, for a probability of 7 X 10^-9.
Lottery: the chances to gain Jackpot (by having the 6 principal numbers) with the National lottery U.K. Lottery, with only one ticket, the rules of 2003, are of 13 983 816 against 1, for a probability of 7 X 10^-8.
Probabilities: the probability that an adult from 20 to 60 years taken randomly dies in the hour which follows is about 10^-8

10^-6

(0,000 001; short scale and long scale: one millionth

ISO: micro - μ

Poker: the chances to obtain a royal fifth flush pack of 52 cards (with the ace) been used in five charts for the Poker with one are of 1,54 X 10^-6, that is to say 649 739 against 1.

10^-5

(0,000 01; one hundred thousandths)

Poker: the probability of obtaining a fifth flush (other that with the ace) with the poker with 52 charts is of 1,385 X 10^-5 (when the white continuations are admitted) that is to say a chance with 72 192 against 1.

10^-4

(0,000 1; one ten thousandths)

Probability : An average human life being thirty thousand days, the probability that an unspecified human being dies the following day, all things being equal, is some share between 10^-4 and 10^-5.
Poker: the chances to pack of 52 cards obtain a square been used with one for the poker are of 2,4 X 10^-4, that is to say with 4 164 against 1.

10^-3

(0,001; thousandths)

ISO: Milli - m

Poker: the chances to obtain a full with the poker are of 693 against 1, for a probability of 1,4 X 10^-3.
Poker: the chances to obtain a color with the poker are of 508 against 1, for a probability of 1,9 X 10^-3.
Poker: the chances to obtain a continuation with the poker are of 254 against 1, for a probability of 4 X 10^-3
$\ alpha \,$ = 0,007 297 352 533 (27), the Constant of fine structure.

10^-2

(0,01; a hundredth)

ISO: Centi - C

HIV: Environ 1,2% of all human of the section from old one 15-49 years were infected by the virus of the AIDS to the end of the year 2001.
Poker: the chances to obtain a Brelan with the poker are of 46 against 1, for a probability of 0,021 (2,1%)
Poker: the chances to obtain two pairs with the poker are of 20 against 1, for a probability of 0,048 (4,8%).

10^-1

(0,1; a tenth)

ISO: Déci - D

Poker: the chances to obtain only one pair with the poker are of 4 against 3 (1,37 against 1), for a probability of 0,42 (42%).
Poker: the chances to obtain any pair with the poker are close to 1 against 2, for a probability from approximately 0,5 (50%)

10⁰

(1; a)

$\ varphi \ approx 1,618034 \,$ , it is the Golden section.
$e \ approx 2,718281828 \,$ , the base of the natural logarithms.
$\ pi \ approx 3,141592 \,$ , the report/ratio of the diameter of a Circle with its circumference.
7 $\ pm \,$ 2, in cognitive sciences, the estimate of George A. Miller of the number of objects which can be contained simultaneously in the human memory.
eight Planet S of the Solar system, since 2006.

10¹

(10; ten)

ISO: Decaf - da

There are 10 Doigt S in a pair of Main S human.
There are 26 letters in the Latin alphabet.
There are 40 immortal with the French Academy.

10²

(100; hundred)

ISO: Hecto - H

In the North-American professional sports, the players typically carry numbers of uniforms going of 1 to 99. In certain sports, 0 and 00 are also allowed, giving 101 different combinations.
There are 128 characters in the table ASCII.
In 2006, there exists 192 Member States with the the United Nations.

10³

(1 000; thousand)

ISO: Kilo - K

There are 2.000-3 000 letters in a typed page of text.
DNA of the simplest Virus have surroundings 5.000 pairs of bases.

10⁴

(10 000; ten thousand)

10.000 : regarded in the ancient Greece as a very great number. The Greek called it murias , which gave in French, the word myriad . It is the birth certificate of the concept of great number in Western civilization.
Each neuron in the Human brain is estimated to be connected to 10 000 others.
There exists 20 000 with 40 000 Ideogram S Chinese, depend on the way of counting them.
Each human being is estimated to have 30 000 with 40 000 Gene S.
In July 2004, the greatest number of decimals of $\ pi \,$ π which were recited of memory - > 42 000.

10⁵

(100 000; a hundred and thousand)

Hair on the head: an average human hair has approximately 100 000 with 150 000 hair.
There is 564 000 words in War and peace .
Poker: one can distribute 201.376 hands different with a set of 32 charts.

10⁶

(1 000.000; short scale and long scale: a Million)

ISO: Mega - M

Species: the World Resources Institute indicates that roughly 1,4 million Espèce S were named, apart from an unknown number of total species (interval estimated between 2 and 100 million species).
Failures: There exists 2 279 184 solutions to the problem of the N-queens for N = 15.
Charts to be played: There exists 2 598 960 hands of poker different from 5 charts which can be distributed starting from a standard play of 52 charts.
Web sites: in July 2003, the Netcraft Web survey estimated that there existed 42 million distinct Web sites.
88 179 840: the number of distinct positions for Rubik' S mini cubic 2x2x2
Books: the British Library indicates that it has more than 150 million works. The Library off Congress indicates that it has 119 million work roughly. See Gutenberg galaxy .
the database Freedb contains information (titles, artists) of approximately 1 750 000 Compact disc S different, in 2005.

10⁹

(1 000.000.000; short scale: 1 Billion; long scale: 1 Billion)

ISO: Giga - G

catalogued Stars: the Guide Star Catalog II has entries for 998.402.801 distinct astronomical objects.
calculative Limit of a CPU 32-bit : 2 147 483 647 is equal to 2³¹-1, and as such is the greatest number which can be signed (Twos complement) as an integer with 32-bit for a computer, and thus mark the calculative higher limit for a CPU 32-bit.
1,5 to 3 billion: many seconds in an human life.
Even of bases in the genome: there are roughly 3 X 10⁹ even bases in the human genome.
1 065 000 000 - Approximate population of the India in 2003.
1 300 000 000 - Approximate population of the Popular republic of China in 2004.
6 378 000 000 - World total population estimated in middle of year 2004.
Web pages: there are roughly 8 X 10⁹ Web pages indexed by Google in 2005.
observable Galaxies: there is between 1 X 10¹⁰ and 8 X 10¹⁰ Galaxie S in the observable universe (in 2003).
Neurons in the brain: there is roughly 10¹¹ Neuron S in the human Cerveau.
Stars in our galaxy: there are roughly 4 X 10¹¹ stars in our galaxy.

10¹²

(1 000.000.000 000; short scale: 1 Trillion; long scale: 1 Billion)

ISO: Téra - T

known Figures of $\ pi \,$ : In 2002, the number of known figures of $\ pi \,$ was of 1 241 100 000 000.
Cells in the human body: the human body is overall made up of 10¹⁴ cell S

10¹⁵

(1 000.000.000 000.000; short scale: 1 Quadrillion; long scale: 1 Billiard)

ISO: Peta - P

Bacteria in the human body: there is overall 10¹⁵ bacteria in the human body.
Grains of sand: all the beaches of the world put together make 2 X 10¹⁵ grains of sand overall (This evaluation is completely whimsical)

10¹⁸

(1 000.000.000 000.000.000; short scale: 1 Quintillion; long scale: 1 Trillion)

ISO: Exa - E

Insects: it was estimated that the population of the insects on Earth included/understood 10¹⁸ insects overall.
Rubik' S Cubic: there are 4,3 X 10¹⁹ positions different from a Rubik' S Cube.

10²¹

(1 000.000.000 000.000.000 000; short scale: 1 sextillion; long scale: 1 trilliard)

ISO: Zetta - Z

Stars in the observable universe: it was estimated very roughly at 7 X 10²² star S in the observable Univers, based on the account of the galaxies and the estimate of stars: (in English)
There are overall 6,022 X 10²³ Molécule S in a mole of any substance (Nombre of Avogadro).

10²⁴

(1 000.000.000 000.000.000 000.000; short scale: 1 Septillion; long scale: 1 quadrillion)

ISO: Yotta - Y

10²⁷

(1 000.000.000 000.000.000 000.000.000; short scale: 1 octillion; long scale: 1 quadrilliard)

Atoms in the human body: the average human body contains 7 X 10²⁷ atoms overall, to see (in English)

10³⁰

(1 000.000.000 000.000.000 000.000.000 000; short scale: 1 nonillion; long scale: 1 quintillion)

Mathematical: the partition of 1.000 is equal to 24.061.467 864.032.622 473.692.149 727.991.

10³³

(1 000.000.000 000.000.000 000.000.000 000.000; short scale: 1 décillion; long scale: 1 quintilliard)

Mathematical: 1.298.074 214.633.706 835.075.030 044.377.087 (≈ 1,3x10³⁴) is a Prime number of Carol

10³⁶

(1 000.000.000 000.000.000 000.000.000 000.000.000; short scale: 1 Undécillion; long scale: 1 Sextillion)

Data-processing - Interval of addresses of the IPv6: (2¹²⁸) is roughly equal to 3,410³⁸ and is the theoretical maximum of Internet addresses which can be allocated with the addressing system IPv6.
Data-processing - Number with floating decimal point: 3,4028235x10³⁸ is roughly equal to the greatest value which can be represented by a value with IEEE floating decimal point with single precision.

10³⁹ with 10¹⁰⁰

See Name of the great numbers for the names of those and larger numbers.

Mathematical: 170.141.183 460.469.231 731.687.303 715.884.105 727 (≈1,7x10³⁹) is a double Nombre of Mersenne first.
Cosmology: the Nombre of Eddington-Dirac is overall equal to 10⁴⁰.
Physical: $e^2/Gm^2 \,$ , the electromagnetic report/ratio of the gravitational forces between two Protons, is overall equal to 10⁴⁰.
Mathematical: 53.694.226 297.143.959 644.031.344 050.777.763 036.004.353 (≈5.4x10⁴³ is a Prime number of Pierpont
Mathématiques: 393.050.634 124.102.232 869.567.034 555.427.371 542.904.833 (≈3.910⁴⁴) is a Prime number of Cullen
Géographie: there is approximately 10⁴⁷ molecules of Eau on Ground
Géographie: the Earth is overall made up of 10⁵⁰ atoms
Mathématiques: 2,35x10⁵²: the number of distinct positions for Rubik' S Revenge 4x4x4.
Mathematical: 359.334.085 968.622.831 041.960.188 598.043.661 065.388.726 959.079.837 (≈3,6x10⁵³ is a Nombre of Beautiful first.
Mathematical: 808.017.424 794.512.875 886.459.904 961.710.757 005.754.368 000.000.000 is the order of the group Monstre
Cosmologie: 8x10⁶⁰ is overall the number of intervals of Temps of Planck since the universe is recognized as being created by the Big Bang, there is 13,7 ± 0.2 billion years
Mathématiques: 709.601.635 082.267.320 966.424.084 955.776.789 770.864.725 643.996.885 415.676.682 297 (≈7x10⁶⁵ - largest Prime number known found by factorization ECM in August 2005 * Mathematical - Charts: 52! = 80.658.175 170.943.878 571.660.636 856.403.766 975.289.505 440.883.277 824.000.000 000.000 (≈8x10⁶⁷) = the number of manners of ordering the charts of one pack of 52 cards.
Mathematical: 475.420.437 734.698.220 747.368.027 166.749.382 927.701.417 016.557.193 662.268.716 376.935.476 241 (≈4.8x10⁷¹) is a Nombre of Fibonacci first.
Astronomy: - fundamental particles in the observable universe - Various sources estimate the full number of fundamental particles in the observable Univers in the interval 10⁸⁰; 10⁸⁵. Nevertheless, these estimates are seen like conjectures.
Mathematical: 4,98x10⁸⁴: the number of distinct positions for Super Revenge or cubic Professor (5x5x5).
Mathematical: 10¹⁰⁰, a gogol.

Larger than 10¹⁰⁰

10^{7 235.733}, the order of magnitude of largest the Prime number known, in January 2005. The exact value of this prime number record is 2^{24 036.583} - 1. Pouver the primality of the numbers with a thousand with several tens of thousands of figures, dependant on a special form, can be made in a few minutes on the modern Ordinateur S.
10^{80 000 000 000 000 000}, the greatest number named in the meter of sand of Archimedes.
10^gogol ( $10^ {10^ {100}}$ ), a Gogolplex
$10^ {\, \! 10^ {10^ {1000}}}$ , order of magnitude of an upper limit in a demonstration of Skewes.

Note: to interpret the last entries correctly, to keep in mind which the exponentiation is carried out from right to left. For example,

10^ {\, \! 10^ {100}} \ mbox {wants to say} 10^ {\, \! (10^ {100})}

See too

Nom of the great numbers
Liste of the numbers
Unités of Planck
Table of constant mathematics
Encyclopediac size let us comparisons one Wikipedia

External bonds

the article of Seth Lloyd '' Computational capacity off the universe '' provides a number of interesting quantities without dimension (in English)

Random links:

Order of magnitude (numbers)

Smaller than 10-36

10-36

10-33

10-30

10-27

10-24

10-21

10-18

10-15

10-12

10-9

10-6

10-5

10-4

10-3

10-2

10-1

100

101

102

103

104

105

106

109

1012

1015

1018

1021

1024

1027

1030

1033

1036

1039 with 10100

Larger than 10100