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425134431524 = 22111913126914431
BaseRepresentation
bin1100010111110111111…
…11001001110100100100
31111122100100102210012002
412023323333021310210
523431133403302044
6523145402144432
742500141021015
oct6137377116444
91448310383162
10425134431524
11154331337860
126a4887b2118
133112298242a
141681034100c
15b0d32c274e
hex62fbfc9d24

425134431524 has 96 divisors (see below), whose sum is σ = 864118886400. Its totient is φ = 180986832000.

The previous prime is 425134431493. The next prime is 425134431577.

425134431524 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29452589 + ... + 29467019.

It is an arithmetic number, because the mean of its divisors is an integer number (9001238400).

Almost surely, 2425134431524 is an apocalyptic number.

425134431524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

425134431524 is an abundant number, since it is smaller than the sum of its proper divisors (438984454876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425134431524 is a wasteful number, since it uses less digits than its factorization.

425134431524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14865 (or 14863 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 425134 and 431524, that added together give a palindrome (856658).

The spelling of 425134431524 in words is "four hundred twenty-five billion, one hundred thirty-four million, four hundred thirty-one thousand, five hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 131 209 262 269 418 524 538 836 1076 1441 2489 2882 2959 4978 5111 5764 5918 9956 10222 11836 14431 20444 27379 28862 35239 54758 56221 57724 70478 109516 112442 140956 158741 224884 274189 317482 387629 548378 634964 669541 775258 1096756 1339082 1550516 1890461 2678164 3016079 3780922 3881939 6032158 7364951 7561844 7763878 12064316 14729902 15527756 20795071 29459804 35918759 41590142 42701329 71837518 73756841 83180284 85402658 143675036 147513682 170805316 295027364 395106349 508534009 790212698 811325251 1017068018 1580425396 1622650502 2034136036 3245301004 5593874099 9662146171 11187748198 19324292342 22375496396 38648584684 106283607881 212567215762 425134431524