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139479950304 = 25321997262781
BaseRepresentation
bin1000000111100110100…
…1110010001111100000
3111100000121010121200100
42001321221302033200
54241123331402204
6144024243222400
713035305005302
oct2017151621740
9440017117610
10139479950304
1154175883102
1223047677a00
13101cac09c96
146a72537972
153965247a39
hex2079a723e0

139479950304 has 144 divisors (see below), whose sum is σ = 421828177680. Its totient is φ = 43592048640.

The previous prime is 139479950297. The next prime is 139479950321. The reversal of 139479950304 is 403059974931.

It is a happy number.

139479950304 is a `hidden beast` number, since 1 + 3 + 9 + 47 + 99 + 503 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 399394 + ... + 662174.

It is an arithmetic number, because the mean of its divisors is an integer number (2929362345).

Almost surely, 2139479950304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139479950304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210914088840).

139479950304 is an abundant number, since it is smaller than the sum of its proper divisors (282348227376).

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

139479950304 is a wasteful number, since it uses less digits than its factorization.

139479950304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262913 (or 262902 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 139479950304 in words is "one hundred thirty-nine billion, four hundred seventy-nine million, nine hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 97 114 144 152 171 194 228 288 291 304 342 388 456 582 608 684 776 873 912 1164 1368 1552 1746 1824 1843 2328 2736 3104 3492 3686 4656 5472 5529 6984 7372 9312 11058 13968 14744 16587 22116 27936 29488 33174 44232 58976 66348 88464 132696 176928 262781 265392 525562 530784 788343 1051124 1576686 2102248 2365029 3153372 4204496 4730058 4992839 6306744 8408992 9460116 9985678 12613488 14978517 18920232 19971356 25226976 25489757 29957034 37840464 39942712 44935551 50979514 59914068 75680928 76469271 79885424 89871102 101959028 119828136 152938542 159770848 179742204 203918056 229407813 239656272 305877084 359484408 407836112 458815626 479312544 484305383 611754168 718968816 815672224 917631252 968610766 1223508336 1437937632 1452916149 1835262504 1937221532 2447016672 2905832298 3670525008 3874443064 4358748447 5811664596 7341050016 7748886128 8717496894 11623329192 15497772256 17434993788 23246658384 34869987576 46493316768 69739975152 139479950304