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137910433308 = 22323222139817
BaseRepresentation
bin1000000001110000011…
…0100011011000011100
3111011222012210220010020
42000130012203120130
54224420032331213
6143204415112140
712651356225064
oct2003406433034
9434865726106
10137910433308
115353a93181a
1222889b12650
131000a9b7cbb
146963cda3a4
1538c256a923
hex201c1a361c

137910433308 has 72 divisors (see below), whose sum is σ = 336576513168. Its totient is φ = 43947095808.

The previous prime is 137910433303. The next prime is 137910433313. The reversal of 137910433308 is 803334019731.

137910433308 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137910433303) and next prime (137910433313).

It is a self number, because there is not a number n which added to its sum of digits gives 137910433308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137910433301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14043216 + ... + 14053032.

It is an arithmetic number, because the mean of its divisors is an integer number (4674673794).

Almost surely, 2137910433308 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 137910433308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168288256584).

137910433308 is an abundant number, since it is smaller than the sum of its proper divisors (198666079860).

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

137910433308 is a wasteful number, since it uses less digits than its factorization.

137910433308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12083 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 137910433308 in words is "one hundred thirty-seven billion, nine hundred ten million, four hundred thirty-three thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 529 1058 1587 2116 2213 3174 4426 6348 6639 8852 9817 13278 19634 26556 29451 39268 50899 58902 101798 117804 152697 203596 225791 305394 451582 610788 677373 903164 1170677 1354746 2341354 2709492 3512031 4682708 5193193 7024062 10386386 14048124 15579579 20772772 21725021 31159158 43450042 62318316 65175063 86900084 130350126 260700252 499675483 999350966 1499026449 1998701932 2998052898 5996105796 11492536109 22985072218 34477608327 45970144436 68955216654 137910433308