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31424056488 = 233311372711319
BaseRepresentation
bin11101010001000001…
…010000110010101000
310000002222220110122000
4131101001100302220
51003324024301423
622234102331000
72161501034016
oct352101206250
9100088813560
1031424056488
1112366073820
12610ba29a60
132c6a417486
14174161d8b6
15c3db71843
hex751050ca8

31424056488 has 256 divisors, whose sum is σ = 98233344000. Its totient is φ = 9223891200.

The previous prime is 31424056459. The next prime is 31424056507. The reversal of 31424056488 is 88465042413.

31424056488 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 4 + 0 + 564 + 88 = 666.

It is a super-2 number, since 2×314240564882 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23823493 + ... + 23824811.

It is an arithmetic number, because the mean of its divisors is an integer number (383724000).

Almost surely, 231424056488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31424056488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49116672000).

31424056488 is an abundant number, since it is smaller than the sum of its proper divisors (66809287512).

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

31424056488 is a wasteful number, since it uses less digits than its factorization.

31424056488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 31424056488 in words is "thirty-one billion, four hundred twenty-four million, fifty-six thousand, four hundred eighty-eight".