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139861694112 = 253723141149157
BaseRepresentation
bin1000001001000001101…
…0000001011010100000
3111101000012110012201220
42002100122001122200
54242414043202422
6144130201255040
713050621533100
oct2022032013240
9441005405656
10139861694112
1154351309958
1223133494480
131025c028aaa
146aab109200
153988a01e5c
hex20906816a0

139861694112 has 576 divisors, whose sum is σ = 457533619200. Its totient is φ = 37236326400.

The previous prime is 139861694107. The next prime is 139861694113. The reversal of 139861694112 is 211496168931.

It is a happy number.

It is a super-2 number, since 2×1398616941122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (139861694113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890838738 + ... + 890838894.

It is an arithmetic number, because the mean of its divisors is an integer number (794329200).

Almost surely, 2139861694112 is an apocalyptic number.

139861694112 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 139861694112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228766809600).

139861694112 is an abundant number, since it is smaller than the sum of its proper divisors (317671925088).

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

139861694112 is a wasteful number, since it uses less digits than its factorization.

139861694112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The spelling of 139861694112 in words is "one hundred thirty-nine billion, eight hundred sixty-one million, six hundred ninety-four thousand, one hundred twelve".