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139861834128 = 24327313304969
BaseRepresentation
bin1000001001000001101…
…0100011100110010000
3111101000012201022210200
42002100122203212100
54242414112143003
6144130204255200
713050622655232
oct2022032434620
9441005638720
10139861834128
11543513a5075
1223133541500
131025c077743
146aab144252
153988a2d6a3
hex20906a3990

139861834128 has 60 divisors (see below), whose sum is σ = 396780815340. Its totient is φ = 45981969408.

The previous prime is 139861834111. The next prime is 139861834141. The reversal of 139861834128 is 821438168931.

139861834128 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 618 + 3 + 4 + 12 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82123511184 + 57738322944 = 286572^2 + 240288^2 .

It is a super-2 number, since 2×1398618341282 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6641973 + ... + 6662996.

It is an arithmetic number, because the mean of its divisors is an integer number (6613013589).

Almost surely, 2139861834128 is an apocalyptic number.

139861834128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

139861834128 is an abundant number, since it is smaller than the sum of its proper divisors (256918981212).

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

139861834128 is a wasteful number, since it uses less digits than its factorization.

139861834128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13305056 (or 13305047 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 139861834128 in words is "one hundred thirty-nine billion, eight hundred sixty-one million, eight hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 13304969 26609938 39914907 53219876 79829814 106439752 119744721 159659628 212879504 239489442 319319256 478978884 638638512 957957768 971262737 1915915536 1942525474 2913788211 3885050948 5827576422 7770101896 8741364633 11655152844 15540203792 17482729266 23310305688 34965458532 46620611376 69930917064 139861834128