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31400939520 = 21234523823
BaseRepresentation
bin11101001111101001…
…000101000000000000
310000001101102000010000
4131033221011000000
51003302120031040
622231515040000
72161100403426
oct351751050000
9100041360100
1031400939520
1112354014695
126104140000
132c656b23b2
14173c523116
15c3bb07130
hex74fa45000

31400939520 has 520 divisors, whose sum is σ = 117601266816. Its totient is φ = 7999782912.

The previous prime is 31400939519. The next prime is 31400939579. The reversal of 31400939520 is 2593900413.

It is a happy number.

31400939520 is a `hidden beast` number, since 3 + 1 + 40 + 0 + 93 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 38153829 + ... + 38154651.

Almost surely, 231400939520 is an apocalyptic number.

31400939520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31400939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58800633408).

31400939520 is an abundant number, since it is smaller than the sum of its proper divisors (86200327296).

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

31400939520 is an equidigital number, since it uses as much as digits as its factorization.

31400939520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 31400939520 in words is "thirty-one billion, four hundred million, nine hundred thirty-nine thousand, five hundred twenty".