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42 (number)

From Wikipedia, the free encyclopedia

Look up forty-two in Wiktionary, the free dictionary.

42 (forty-two) is the natural number following 41 and preceding 43.

Cardinal 42
forty-two
Ordinal 42nd
forty-second
Factorization 2 × 3 × 7
Divisors 1, 2, 3, 6, 7, 14, 21, 42
Roman numeral XLII
Binary 101010
Hexadecimal 2A
Duodecimal 36
IEEE Float > 42.0 = 42280000 hexadecimal
Hebrew מב (Mem Bet)
Chinese 四十二
Lojban vore

Contents

[edit] In mathematics

It is a composite number; its factorization makes it the second sphenic number and also the second of the form {2.3.r}. As with all sphenic numbers of this form the aliquot sum is abundant by 12; 54. 42 is also the second sphenic number to be bracketed by twin primes; 30 also rests between two primes. 42 has a 14 member aliquot sequence 42, 54, 66, 78, 90, 144, 259, 45, 33, 15, 9, 4, 3, 1, 0 and is itself part of the aliquot sequence commencing with the first sphenic number 30. Further, 42 is the 10th member of the 3-aliquot tree.

42 is the product of the first three terms of Sylvester's sequence; like the first four such numbers it is also a primary pseudoperfect number.

It is the sum of the totient function for the first eleven integers.

It is the third 15-gonal number.

It is a Catalan number.

It is the reciprocal of a Bernoulli number. It is conjectured to be the "third moment of the Riemann zeta function". That means that when

{1 \over T}\int_0^T \left| \zeta\left({1 \over 2} + it\right) \right|^6\,dt
is expanded as in powers of log(T), the leading coefficient—that of the 9th-degree term—is 42.

It is a meandric number and an open meandric number.

42 is a perfect score on the USA Math Olympiad (USAMO) and International Mathematical Olympiad (IMO).

In base 10, this number is a Harshad number and a self number, while it is a repdigit in base 4 (as 222). The eight digits of pi beginning from 242,422 places after the decimal point are 42424242.

[edit] In science

  • The atomic number of molybdenum. The element following molybdenum with atomic number 43 (technetium) has no stable isotopes.
  • The number of teeth wolves and dogs (canines) have.
  • 42° is the critical angle of refraction by water - it is the angle between a rainbow and the antisolar point.
  • The light leaving a rainbow is spread over a wide angle, with a maximum intensity around 42°
  • The number of minutes it would take a theoretical "gravity train" to travel to any point on earth.
  • In one Grand Unified Theory, the Georgi-Glashow model, the inverse of the coupling constant is approximately 42.
  • 10! (10 factorial) seconds is exactly 42 days.
  • On page 7-10 of Volume 1 of "The Feynmann Lectures on Physics" is a marginal figure that illustrates the strength ratio of gravitation attraction and electrical repulsion between two electrons as 1/4.17 x 10^42. The denominator is also written out by hand as a long, snaking 4,170,... followed by 39 more zeros. Feymann mentions the unified field theory, the similarity of the inverse square laws, the disparity of the relative strengths, and asks "Where could such a large number come from? ... it involves something deep in nature."

[edit] Astronomy

[edit] In religion

[edit] In pop culture

The Ultimate Answer to Life, The Universe, and Everything
The Ultimate Answer to Life, The Universe, and Everything

[edit] In music

[edit] In television and film

[edit] In video games

  • 42 All-Time Classics is a Nintendo DS game that features 42 parlor games.
  • A level in the game Destroy All Humans! is named "Area 42".
  • In the Massive Multiplayer Online Role-Playing Game, EVE Online, 42 was the number used to create the online universe on 'Tranquility', the cluster on which EVE resides. The EVE Online community manager Charles Dane recently stated, "LeKjart said during his presentation at the first EVE Fanfest that 42 was the number used to seed Tranquility. Eight hours later, Tranquility was created, populated with objects and Non Player Characters, then went live to the public shortly thereafter."
  • The EA game, Battlefield 1942 or "BF42" was the first game in the popular Battlefield Video Game Series
  • The EA game, Battlefield 2142 is the most current game in the battlefield videogame series.
  • In Gears of War the tank that Marcus Fenix drives is numbered 42.
  • The game Metal Arms: Glitch in the System, has 42 single player missions.
  • In the game Earthworm Jim 2, there's a parody of a television quiz show in which one of the questions is: "What is the meaning of life?". The answer is 42.
  • In the game Quest For Glory I, a gargoyle asks you a series of questions to gain entry to a tower. One of these is "What is the meaning of life, the universe and everything?" A reply of "42" will gain you entry and the response "I see you put some Deep Thought into it."

[edit] In sports

Jackie Robinson in his now-retired number 42 jersey.
Jackie Robinson in his now-retired number 42 jersey.

[edit] In technology

  • In the common computing language codification, ASCII, the decimal code '42' represents an asterisk - '*' - which is another common computing symbol used to represent a wildcard or an indicator of "everything".
  • 42 is a common metasyntactic variable used by programmers. In the TIFF image file format, the second 16-bit word of every file is 42, which is used together with the first word to indicate byte order. In the reiser4 file system, 42 is the inode number of the root directory.
  • The code number for the Microsoft .NET platform is 42, since it is their answer to "The Answer to Life, the Universe, and Everything". It also happens to be the building number that the Microsoft .NET CLR is built in. Coincidentally, it was the 42nd release build which was ready to ship as the final version 2 .NET framework, and so is present in the file version (2.0.50727.42) of every binary file.
  • 42 is the default number of days a password can be used for before expiring in Windows Server 2003.
  • The help entry 42 (accessed by typing ":h 42" in command mode) in the Vim text editor displays a reference to Douglas Adams.

[edit] In other fields

  • Tower 42 is a skyscraper in the City of London, formerly known as the NatWest Tower.
  • In AdventureQuest, there is a door with the number 42 on it, which, if you click on it, says "This door contains the answer to Life, the Universe, and Everything. It is locked, bolted, and duct-taped shut." a reference to The Hitchhiker's Guide to the Galaxy, at other times it'll say "beware the Leopardzard", a reference to The Hitchhiker's Guide to the Galaxy (the part of the book where Arthur Dent is describing the disused toilet in which he found the building plans that involved his house).
  • On Neopets a programmer named Ollie constantly says 42 in reply to Neomails about the Altador Plot.
  • The Number of quatrains that remain in Nostradamus's 7th Century.
  • The number of U.S. gallons of oil contained in one barrel of oil (this equals just under 159 litres and 35 UK gallons).
  • The age at which Elvis Presley died.
  • The age at which Satchel Paige, St. Louis Browns (1906-1982) became the American League's first black pitcher in 1948.
  • The age at which Kareem Abdul-Jabbar, retired as the oldest NBA player in 1989 .
  • The maximum number received of any one present in the song The Twelve Days of Christmas.
  • In Lewis Carroll's book, The Hunting of the Snark, which he wrote at the age of 42, "one who was famed for the number of things/ He forgot when he entered the ship:" had "...forty-two boxes, all carefully packed,/ With his name painted clearly on each:/ But, since he omitted to mention the fact/ They were all left behind on the beach." Its preface also references a 'rule 42' ("No one shall speak to the Man at the Helm").
  • In Lewis Carroll's long poem Phantasmagoria, written when he was in his mid 30's, are the lines "But still to choose a brat like you / To haunt a man of forty-two / Was no great compliment." Arguably the number was simply chosen for rhyme and metre but, given his other references to the number, it is perhaps of more significance.
  • Carroll's Alice has 42 illustrations. In Chapter XII, the king explains "the oldest rule in the book": "Rule Forty-two. All persons more than a mile high to leave the court".
  • When a Rubik's Twist is folded into it's "ball" form, it forms a tetracontakaidigon, or 42 sided figure.
  • The sum of the numbers or pips on a pair of conventional (six-sided) dice.
  • The name of a Texan trick-taking game played with dominoes (see 42 (dominoes)).
  • The number of the French department Loire.
  • The name of an equipment finance and lease management product built by Northern Arch.
  • The minimum age one had to have been to be elected a consul in the Roman Republic.

[edit] Historical years

42 A.D., 42 B.C., 1942, 2042, etc.

[edit] External links

Wikimedia Commons has media related to:
  • Deep Thought (another list of the meanings of the number 42, with a heavy Hitchhiker's Guide to the Galaxy slant)
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