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What number is the universe?

The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything," calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years.

en.wikipedia.org - 42 (number) - Wikipedia
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Natural number

42 (forty-two) is the natural number that follows 41 and precedes 43.

Mathematics [ edit ]

Forty-two (42) is a pronic number[1] and an abundant number; its prime factorization ( 2 × 3 × 7 {\displaystyle 2\times 3\times 7} ) makes it the second sphenic number and also the second of the form ( 2 × 3 × r {\displaystyle 2\times 3\times r} ). It is the number of isomorphism classes of all simple and oriented directed graphs on 4 vertices. In other words, it is the number of all possible outcomes (up to isomorphism) of a tournament consisting of 4 teams where the game between any pair of teams results in three possible outcomes: the first team wins, the second team wins, or there is a draw. The group stage of the FIFA World cup is a good example.

It is the third primary pseudoperfect number. [2]

It is a Catalan number. [3] Consequently, 42 is the number of noncrossing partitions of a set of five elements, the number of triangulations of a heptagon, the number of rooted ordered binary trees with six leaves, the number of ways in which five pairs of nested parentheses can be arranged, etc. Consequently, 42 is the number of noncrossing partitions of a set of five elements, the number of triangulations of a heptagon, the number of rooted ordered binary trees with six leaves, the number of ways in which five pairs of nested parentheses can be arranged, etc. It is an alternating sign matrix number, that is, the number of 4-by-4 alternating sign matrices. It is the smallest number k that is equal to the sum of the nonprime proper divisors of k, i.e., 42 = 1 + 6 + 14 + 21. It is the number of partitions of 10—the number of ways of expressing 10 as a sum of positive integers (note a different sense of partition from that above). Given 27 same-size cubes whose nominal values progress from 1 to 27, a 3 × 3 × 3 magic cube can be constructed such that every row, column, and corridor, and every diagonal passing through the center, is composed of three numbers whose sum of values is 42. It is the third pentadecagonal number. [4] It is a meandric number and an open meandric number. It is a meandric number and an open meandric number. 42 is the only known value that is the number of sets of four distinct positive integers a , b , c , d , each less than the value itself, such that ab − cd , ac − bd , and ad − bc are each multiples of the value. Whether there are other values remains an open question. [5] , , , , each less than the value itself, such that − , − , and − are each multiples of the value. Whether there are other values remains an open question. 42 is a (2,6)-perfect number (super-multiperfect), as σ 2 ( n ) = σ(σ( n )) = 6 n . [6] ( ) = σ(σ( )) = 6 . 42 is the resulting number of the original Smith number ( 4937775 = 3 × 5 × 5 × 65837 {\displaystyle 4937775=3\times 5\times 5\times 65837} 4 + 9 + 3 + 7 + 7 + 7 + 5 {\displaystyle 4+9+3+7+7+7+5} 3 + 5 + 5 + ( 6 + 5 + 8 + 3 + 7 ) {\displaystyle 3+5+5+(6+5+8+3+7)} The dimension of the Borel subalgebra in the exceptional Lie algebra e 6 is 42. is 42. 42 is the largest number n such that there exist positive integers p , q , r with 1 = 1 / n + 1 / p + 1 / q + 1 / r such that there exist positive integers , , with 1 = + + + 42 is the smallest number k such that for every Riemann surface C , #Aut( C ) ≤ k deg( K C ) = k (2 g − 2) (Hurwitz's automorphisms theorem) such that for every Riemann surface , #Aut( ) ≤ deg( ) = (2 − 2) (Hurwitz's automorphisms theorem) 42 is the sum of the first six positive even numbers. 42 was the last natural number below 100 whose representation as a sum of three cubes was found (in 2019). The representation is: ( − 80538738812075974 ) 3 + 80435758145817515 3 + 12602123297335631 3 {\displaystyle (-80538738812075974)^{3}+80435758145817515^{3}+12602123297335631^{3}} [7] 42 is a Harshad number in base 10, because the sum of the digits 4 and 2 is 6 (4 + 2 = 6), and 42 is divisible by 6. 42 is the number of ways to arrange the numbers 1 to 9 in a 3x3 matrix such that the numbers in each row and column are in ascending order. 42 is also ten factorial divided by the number of seconds in a day (i.e. 86400).

Science [ edit ]

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42 is the atomic number of molybdenum.

42 is the atomic mass of one of the naturally occurring stable isotopes of calcium. The angle rounded to whole degrees for which a rainbow appears (the critical angle). In 1966, mathematician Paul Cooper theorized that the fastest, most efficient way to travel across continents would be to bore a straight hollow tube directly through the Earth, connecting a set of antipodes, remove the air from the tube and fall through. [8] The first half of the journey consists of free-fall acceleration, while the second half consists of an exactly equal deceleration. The time for such a journey works out to be 42 minutes. Even if the tube does not pass through the exact center of the Earth, the time for a journey powered entirely by gravity (known as a gravity train) always works out to be 42 minutes, so long as the tube remains friction-free, as while the force of gravity would be lessened, the distance traveled is reduced at an equal rate. [9] [10] (The same idea was proposed, without calculation by Lewis Carroll in 1893 in Sylvie and Bruno Concluded . [11] ) Now we know that is inaccurate, and it only would take about 38 minutes. [12] The first half of the journey consists of free-fall acceleration, while the second half consists of an exactly equal deceleration. The time for such a journey works out to be 42 minutes. Even if the tube does not pass through the exact center of the Earth, the time for a journey powered entirely by gravity (known as a gravity train) always works out to be 42 minutes, so long as the tube remains friction-free, as while the force of gravity would be lessened, the distance traveled is reduced at an equal rate. (The same idea was proposed, without calculation by Lewis Carroll in 1893 in . ) Now we know that is inaccurate, and it only would take about 38 minutes. As determined by the Babylonians, in 79 years Mars orbits the Sun almost exactly 42 times. [13] The hypothetical efficiency of converting mass to energy, as per E=mc², by having a given mass orbit a rotating black hole is 42%, the highest efficiency yet known to modern physics. [14] In Powers of Ten by Ray and Charles Eames, the known universe from large-scale to small-scale is represented by 42 different powers of ten. These powers range from 1025 meters to 10−17 meters.

Technology [ edit ]

Astronomy [ edit ]

Religion [ edit ]

Popular culture [ edit ]

The Hitchhiker's Guide to the Galaxy [ edit ]

The Answer to the Ultimate Question of Life, The Universe, and Everything

The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything," calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. Unfortunately, no one knows what the question is. Thus, to calculate the Ultimate Question, a special computer the size of a small planet was built from organic components and named "Earth". The Ultimate Question "What do you get when you multiply six by nine"[27] was found by Arthur Dent and Ford Prefect in the second book of the series, The Restaurant at the End of the Universe. This appeared first in the radio play and later in the novelization of The Hitchhiker's Guide to the Galaxy. The fact that Adams named the episodes of the radio play "fits", the same archaic title for a chapter or section used by Lewis Carroll in The Hunting of the Snark, suggests that Adams was influenced by Carroll's fascination with and frequent use of the number. The fourth book in the series, the novel So Long, and Thanks for All the Fish, contains 42 chapters. According to the novel Mostly Harmless, 42 is the street address of Stavromula Beta. In 1994, Adams created the 42 Puzzle, a game based on the number 42. Google also has a calculator easter egg when one searches "the answer to the ultimate question of life, the universe, and everything." Once typed (all in lowercase), the calculator answers with the number 42. [29] In Hervé Le Tellier's novel The Anomaly, a top-secret US Government protocol receives code number 42, inspired by this source.[citation needed]

Works of Lewis Carroll [ edit ]

Lewis Carroll, who was a mathematician,[30] made repeated use of this number in his writings.[31]

Examples of Carroll's use of 42:

has 42 illustrations. Alice's attempts at multiplication (chapter two of Alice in Wonderland ) work if one uses base 18 to write the first answer, and increases the base by threes to 21, 24, etc. (the answers working up to 4 × 12 = "19" in base 39), but "breaks" precisely when one attempts the answer to 4 × 13 in base 42, leading Alice to declare "oh dear! I shall never get to twenty at that rate!" ) work if one uses base 18 to write the first answer, and increases the base by threes to 21, 24, etc. (the answers working up to 4 × 12 = "19" in base 39), but "breaks" precisely when one attempts the answer to 4 × 13 in base 42, leading Alice to declare "oh dear! I shall never get to twenty at that rate!" Rule Forty-two in Alice's Adventures in Wonderland ("All persons more than a mile high to leave the court").

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("All persons more than a mile high to leave the court"). Rule 42 of the Code in the preface [32] to The Hunting of the Snark ("No one shall speak to the Man at the Helm"). to ("No one shall speak to the Man at the Helm"). In "fit the first" of The Hunting of the Snark the Baker had "forty-two boxes, all carefully packed, With his name painted clearly on each." [33] the Baker had "forty-two boxes, all carefully packed, With his name painted clearly on each." The White Queen announces her age as "one hundred and one, five months and a day", which—if the best possible date is assumed for the action of Through the Looking-Glass (e.g., a date is chosen such that the rollover from February to March is excluded from what would otherwise be an imprecise measurement of "five months and a day")—gives a total of 37,044 days. If the Red Queen, as part of the same chess set, is regarded as the same age, their combined age is 74,088 days, or 42 × 42 × 42.[34]

Music [ edit ]

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Video games [ edit ]

Sports [ edit ]

Architecture [ edit ]

The architects of the Rockefeller Center in New York City worked daily in the Graybar Building where on "the twenty-fifth floor, one enormous drafting room contained forty-two identical drawing boards, each the size of a six-seat dining room table; another room harboured twelve more, and an additional fourteen stood just outside the principals' offices at the top of the circular iron staircase connecting 25 to 26". [39] In the Rockefeller Center (New York City) there are a total of "forty-two elevators in five separate banks"[40] which carry tenants and visitors to the sixty-six floors.

Comics [ edit ]

Miles Morales was bitten by a spider bearing the number 42, causing him to become a Spider-Man. The number was later heavily referenced in the film Spider-Man: Into the Spider-Verse. The use of 42 within the franchise references Jackie Robinson's use of the number, though many fans incorrectly believed it to be a The Hitchhiker's Guide to the Galaxy reference.[41]

Other fields [ edit ]

Other languages [ edit ]

Language Translation Afrikaans twee-en-veertig Albanian dyzetedy Arabic إثنان و أربعون (ʾithnān wa ʾarbaʿūn) Armenian քառասուներկու (karasunerku) Armenian (Classic) ԽԲ (khe ben) Basque berrogeita bi Bangla biyallis ৪২ বিয়াল্লিশ Belarusian сорак два (sorak dva) Bosnian četrdeset dva Bulgarian четиридесет и две (četirideset i dve) Catalan quaranta-dos Chinese 四十二 ( 肆拾贰 ) (sìshí'èr) Chuvash хĕрĕх иккĕ (xĕrĕx ikkĕ, IIXXXX) Croatian četrdeset dva Czech čtyřicet dva Danish toogfyrre Dhivehi Saalhees Dheyh Dutch tweeënveertig Esperanto kvardek du Estonian nelikümmend kaks Finnish neljäkymmentäkaksi Filipino apatnapu't dalawa French quarante-deux West Frisian twaenfjirtich Galician corenta e dous Georgian ორმოცდაორი (ormocdaori) German zweiundvierzig Greek σαράντα δύο (saránta dýo) Gujarati betalis Hebrew ארבעים ושתיים (arbayim u-shtayim) Hindi बयालीस, ४२ (bayālīs) Hungarian negyvenkettő Icelandic fjörutíu og tveir Indonesian empat puluh dua Irish daichead a dó Italian quarantadue Japanese 四十二 (よんじゅうに) (yonjūni) Kazakh қырық екі (qırıq eki) Korean 사십이 / 마흔둘 (sasibi/maheundul) Kannada ನಲವತ್ತು ಎರಡು (nalavatthu eradu) Latin quadraginta duo Latvian četrdesmit divi Livonian nēļakimdõ kakš Lithuanian keturiasdešimt du Lojban vore Luxembourgish zweeavéierzeg Macedonian четириесет и два (četirieset i dva) Malayalam നാല്പത്തിരണ്ടു Maltese tnejn u erbgħin Māori whā tekau ma rua Marathi bechalis Mongolian дөчин хоёр (döchin khoyor) Norwegian førtito Pashto دوه څلوېښت Persian چهل و دو (chehel o du) Polish czterdzieści dwa Portuguese quarenta e dois Romanian patruzeci și doi Russian сорок два (sorok dva) Sanskrit द्विचत्वारिंशत्, ४२ (dvicatvāriṃśat) Serbian четрдесет два (četrdeset dva) Shona Makumi mana nemaviri Sinhala හතලිස් දෙක (hathalis deka) Slovene dvainštirideset Slovak štyridsaťdva Somali laba iyo afartan Spanish cuarenta y dos Swedish fyrtiotvå Tagalog apatnapu't dalawa Tamil நாற்பத்திரண்டு (narpatti errundu) Telugu నలభై రెండు (nalabai rendu) Thai สี่สิบสอง Turkish kırk iki Ukrainian сорок два (sorok dva) Urdu بیالیس (bayālīs) Vietnamese bốn mươi hai Volapük foldegtel Welsh pedwar deg dau / dau-ar-ddeugain Yoruba mejilelogoji

See also [ edit ]

References [ edit ]

Media related to 42 (number) at Wikimedia Commons

en.wikipedia.org - 42 (number) - Wikipedia
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