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14139029520 = 2434571143659
BaseRepresentation
bin11010010101100000…
…00111100000010000
31100111101002010020000
431022300013200100
5212424042421040
610255000250000
71010243524260
oct151260074020
940441063200
1014139029520
115aa6128170
1228a7170900
131444369575
14981b477a0
1557b447130
hex34ac07810

14139029520 has 800 divisors, whose sum is σ = 62743127040. Its totient is φ = 2865300480.

The previous prime is 14139029519. The next prime is 14139029533. The reversal of 14139029520 is 2592093141.

14139029520 is a `hidden beast` number, since 1 + 41 + 3 + 90 + 2 + 9 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21454951 + ... + 21455609.

Almost surely, 214139029520 is an apocalyptic number.

14139029520 is a gapful number since it is divisible by the number (10) 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 14139029520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31371563520).

14139029520 is an abundant number, since it is smaller than the sum of its proper divisors (48604097520).

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

14139029520 is a wasteful number, since it uses less digits than its factorization.

14139029520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 14139029520 in words is "fourteen billion, one hundred thirty-nine million, twenty-nine thousand, five hundred twenty".