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42114242314131 = 3131518838098913
BaseRepresentation
bin10011001001101011111000…
…11100111111111110010011
312112010002012221211201121020
421210311330130333332103
521004444432013023011
6225323003230330523
711604440120150031
oct1144657434777623
9175102187751536
1042114242314131
11124676059633a9
124882032659a43
131a664821cb680
14a584a973b551
154d074c47e006
hex264d7c73ff93

42114242314131 has 32 divisors (see below), whose sum is σ = 60941153075712. Its totient is φ = 25715665382400.

The previous prime is 42114242314129. The next prime is 42114242314159. The reversal of 42114242314131 is 13141324241124.

It is not a de Polignac number, because 42114242314131 - 21 = 42114242314129 is a prime.

It is a super-2 number, since 2×421142423141312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42114242314092 and 42114242314101.

It is not an unprimeable number, because it can be changed into a prime (42114242314121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1150531 + ... + 9249443.

It is an arithmetic number, because the mean of its divisors is an integer number (1904411033616).

Almost surely, 242114242314131 is an apocalyptic number.

42114242314131 is a deficient number, since it is larger than the sum of its proper divisors (18826910761581).

42114242314131 is a wasteful number, since it uses less digits than its factorization.

42114242314131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8099963.

The product of its digits is 18432, while the sum is 33.

Adding to 42114242314131 its reverse (13141324241124), we get a palindrome (55255566555255).

The spelling of 42114242314131 in words is "forty-two trillion, one hundred fourteen billion, two hundred forty-two million, three hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 13 39 151 453 883 1963 2649 5889 11479 34437 133333 399999 1733329 5199987 8098913 24296739 105285869 315857607 1222935863 3668807589 7151340179 15898166219 21454020537 47694498657 92967422327 278902266981 1079852367029 3239557101087 14038080771377 42114242314131