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31400542602 = 232111363119333
BaseRepresentation
bin11101001111100111…
…100100000110001010
310000001100122211122100
4131033213210012022
51003302014330402
622231502334230
72161064131302
oct351747440612
9100040584570
1031400542602
1112353873460
126103b8a376
132c655a3830
14173c45c602
15c3ba7971c
hex74f9e418a

31400542602 has 96 divisors (see below), whose sum is σ = 80059464576. Its totient is φ = 8768995200.

The previous prime is 31400542601. The next prime is 31400542627. The reversal of 31400542602 is 20624500413.

31400542602 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 0 + 54 + 2 + 602 = 666.

It is not an unprimeable number, because it can be changed into a prime (31400542601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1614528 + ... + 1633860.

It is an arithmetic number, because the mean of its divisors is an integer number (833952756).

Almost surely, 231400542602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31400542602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40029732288).

31400542602 is an abundant number, since it is smaller than the sum of its proper divisors (48658921974).

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

31400542602 is a wasteful number, since it uses less digits than its factorization.

31400542602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19996 (or 19993 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 31400542602 in words is "thirty-one billion, four hundred million, five hundred forty-two thousand, six hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 631 858 1262 1287 1893 2574 3786 5679 6941 8203 11358 13882 16406 19333 20823 24609 38666 41646 49218 57999 62469 73827 90233 115998 124938 147654 173997 180466 212663 251329 270699 347994 425326 502658 541398 637989 753987 812097 1275978 1507974 1624194 1913967 2261961 2764619 3827934 4523922 5529238 8293857 12199123 16587714 24398246 24881571 36597369 49763142 73194738 109792107 134190353 158588599 219584214 268380706 317177198 402571059 475765797 805142118 951531594 1207713177 1427297391 1744474589 2415426354 2854594782 3488949178 5233423767 10466847534 15700271301 31400542602