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114536979921 = 37132671313677
BaseRepresentation
bin110101010101011101…
…1111001110111010001
3101221122021112102210110
41222222323321313101
53334032431324141
6124341220551533
711163222160110
oct1525273716721
9357567472713
10114536979921
11446361592a1
121a2462525a9
13aa54450700
145787997c77
152ea558ce16
hex1aaaef9dd1

114536979921 has 96 divisors (see below), whose sum is σ = 193328391168. Its totient is φ = 59043029760.

The previous prime is 114536979913. The next prime is 114536979937. The reversal of 114536979921 is 129979635411.

It is not a de Polignac number, because 114536979921 - 23 = 114536979913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114536979941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31147735 + ... + 31151411.

It is an arithmetic number, because the mean of its divisors is an integer number (2013837408).

Almost surely, 2114536979921 is an apocalyptic number.

It is an amenable number.

114536979921 is a deficient number, since it is larger than the sum of its proper divisors (78791411247).

114536979921 is a wasteful number, since it uses less digits than its factorization.

114536979921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3898 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 57.

The spelling of 114536979921 in words is "one hundred fourteen billion, five hundred thirty-six million, nine hundred seventy-nine thousand, nine hundred twenty-one".

Divisors: 1 3 7 13 21 39 67 91 131 169 201 273 393 469 507 871 917 1183 1407 1703 2613 2751 3549 3677 5109 6097 8777 11031 11323 11921 18291 22139 25739 26331 33969 35763 47801 61439 66417 77217 79261 114101 143403 154973 184317 237783 246359 334607 342303 464919 481687 621413 739077 798707 1003821 1445061 1483313 1724513 1864239 2396121 3202667 3371809 4349891 4449939 5173539 6261931 9608001 10115427 10383191 13049673 18785793 22418669 31149573 32273029 41634671 43833517 67256007 81405103 96819087 124904013 131500551 225911203 244215309 291442697 419549377 569835721 677733609 874328091 1258648131 1709507163 2936845639 5454141901 8810536917 16362425703 38178993307 114536979921