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139953947134932 = 2233719611163137341
BaseRepresentation
bin11111110100100110010001…
…010011011100101111010100
3200100112110121012122121012000
4133310212101103130233110
5121321001140431304212
61213353542234155300
741323224164300250
oct3764462123345724
9610473535577160
10139953947134932
1140659154625087
1213844019882b30
1360127a6642b98
14267bb42cad260
15112a7cb4281dc
hex7f49914dcbd4

139953947134932 has 384 divisors, whose sum is σ = 444044046028800. Its totient is φ = 37228940582400.

The previous prime is 139953947134931. The next prime is 139953947134933. The reversal of 139953947134932 is 239431749359931.

139953947134932 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 5 + 39 + 471 + 34 + 93 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (139953947134931) and next prime (139953947134933).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139953947134931) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1018956582 + ... + 1019093922.

It is an arithmetic number, because the mean of its divisors is an integer number (1156364703200).

Almost surely, 2139953947134932 is an apocalyptic number.

139953947134932 is a gapful number since it is divisible by the number (12) 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 139953947134932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222022023014400).

139953947134932 is an abundant number, since it is smaller than the sum of its proper divisors (304090098893868).

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

139953947134932 is a wasteful number, since it uses less digits than its factorization.

139953947134932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138604 (or 138596 counting only the distinct ones).

The product of its digits is 595213920, while the sum is 72.

The spelling of 139953947134932 in words is "one hundred thirty-nine trillion, nine hundred fifty-three billion, nine hundred forty-seven million, one hundred thirty-four thousand, nine hundred thirty-two".