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139056020334 = 232731117432801
BaseRepresentation
bin1000000110000001100…
…0100111101101101110
3111021221001102202002100
42001200120213231232
54234241320122314
6143514221035530
713021636446000
oct2014030475556
9437831382070
10139056020334
1153a78553260
1222b496b5ba6
131016113a54a
146a32104370
15393ce08c09
hex2060627b6e

139056020334 has 384 divisors, whose sum is σ = 415431244800. Its totient is φ = 33191424000.

The previous prime is 139056020261. The next prime is 139056020371. The reversal of 139056020334 is 433020650931.

It is a happy number.

139056020334 is a `hidden beast` number, since 1 + 3 + 90 + 560 + 2 + 0 + 3 + 3 + 4 = 666.

It is a super-2 number, since 2×1390560203342 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49643734 + ... + 49646534.

It is an arithmetic number, because the mean of its divisors is an integer number (1081852200).

Almost surely, 2139056020334 is an apocalyptic number.

139056020334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 139056020334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207715622400).

139056020334 is an abundant number, since it is smaller than the sum of its proper divisors (276375224466).

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

139056020334 is a wasteful number, since it uses less digits than its factorization.

139056020334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 139056020334 in words is "one hundred thirty-nine billion, fifty-six million, twenty thousand, three hundred thirty-four".