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14930512128 = 283275317467
BaseRepresentation
bin11011110011110110…
…11000100100000000
31102112112101121020200
431321323120210000
5221034202342003
610505312405200
71035664154610
oct157173304400
942475347220
1014930512128
116371980824
122a88246800
13153c32967c
14a18cd6a40
155c5b8a6a3
hex379ed8900

14930512128 has 216 divisors, whose sum is σ = 50129247168. Its totient is φ = 4185133056.

The previous prime is 14930512109. The next prime is 14930512141. The reversal of 14930512128 is 82121503941.

14930512128 is a `hidden beast` number, since 14 + 9 + 3 + 0 + 512 + 128 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14930512092 and 14930512101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 846051 + ... + 863517.

It is an arithmetic number, because the mean of its divisors is an integer number (232079848).

Almost surely, 214930512128 is an apocalyptic number.

14930512128 is a gapful number since it is divisible by the number (18) 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 14930512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25064623584).

14930512128 is an abundant number, since it is smaller than the sum of its proper divisors (35198735040).

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

14930512128 is a wasteful number, since it uses less digits than its factorization.

14930512128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17549 (or 17532 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 14930512128 in words is "fourteen billion, nine hundred thirty million, five hundred twelve thousand, one hundred twenty-eight".