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139232013984 = 253271919119031
BaseRepresentation
bin1000000110101011011…
…1111110111010100000
3111022101022121010222200
42001222313332322200
54240121343421414
6143543505133200
713026204410010
oct2015267767240
9438338533880
10139232013984
1154058929958
1222b9862a200
131018b73a9bb
146a4b637c40
15394d5c0109
hex206adfeea0

139232013984 has 288 divisors, whose sum is σ = 478839029760. Its totient is φ = 37487577600.

The previous prime is 139232013979. The next prime is 139232013997. The reversal of 139232013984 is 489310232931.

139232013984 is a `hidden beast` number, since 1 + 39 + 23 + 201 + 398 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7306549 + ... + 7325579.

It is an arithmetic number, because the mean of its divisors is an integer number (1662635520).

Almost surely, 2139232013984 is an apocalyptic number.

139232013984 is a gapful number since it is divisible by the number (14) 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 139232013984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239419514880).

139232013984 is an abundant number, since it is smaller than the sum of its proper divisors (339607015776).

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

139232013984 is a wasteful number, since it uses less digits than its factorization.

139232013984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19264 (or 19253 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 139232013984 in words is "one hundred thirty-nine billion, two hundred thirty-two million, thirteen thousand, nine hundred eighty-four".