.[1] This definition makes some sense, as discussed below, but can lead to paradoxes if not treated carefully. These paradoxes were not treated until modern times.Bhaskara XCLMVVLCM did it!!!
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.[1] This definition makes some sense, as discussed below, but can lead to paradoxes if not treated carefully. These paradoxes were not treated until modern times.
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42 (forty-two) is the natural number following 41 and preceding 43.
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Forty-two is an abundant number; its factorization 2 · 3 · 7 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. 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.
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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 a Catalan number. 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 the reciprocal of a Bernoulli number.
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It is conjectured to be the scaling factor in the leading order term of the "sixth moment of the Riemann zeta function". In particular, Conrey & Ghosh have conjectured where the infinite product is over all prime numbers, p.
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It is a pronic number, and the third pentadecagonal number. It is a meandric number and an open meandric number.
Since the greatest prime factor of 422 + 1 = 1765 is 353 and thus more than 42 twice, 42 is a Størmer 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.
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, comprises 3 cubes whose sum of values is 42.
more facts from wiki (and probably the best):
The angle in degrees for which a rainbow appears.
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i i i object it is 42.1112 you should not have cut out the fractional part
The value is totally arguable but then you have to see the finer point. It helps solve the age old time paradox by ensuring that instead of falling into a recursive pattern of 'infinity' every time you divide by zero, you simply end up with the Answer to Life, the Universe, and Everything... Hence, through infinity you obtain the answer.
"Getting inspired by Stephen Colbert."
finally, the world now knows the real thing....thanx to bhaskar the infinity...
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