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115140121164 = 22334722683239
BaseRepresentation
bin110101100111011100…
…0101101001001001100
3102000012022110012001000
41223032320231021030
53341301332334124
6124521124220300
711214164611305
oct1531670551114
9360168405030
10115140121164
1144915662232
121a39423a690
13ab1c3a9013
145803b1b7ac
152edd4cb6c9
hex1acee2d24c

115140121164 has 48 divisors (see below), whose sum is σ = 304862745600. Its totient is φ = 37563442128.

The previous prime is 115140121147. The next prime is 115140121169. The reversal of 115140121164 is 461121041511.

It is a happy number.

115140121164 is a `hidden beast` number, since 11 + 514 + 0 + 121 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (115140121169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11336544 + ... + 11346695.

It is an arithmetic number, because the mean of its divisors is an integer number (6351307200).

Almost surely, 2115140121164 is an apocalyptic number.

It is an amenable number.

115140121164 is an abundant number, since it is smaller than the sum of its proper divisors (189722624436).

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

115140121164 is a wasteful number, since it uses less digits than its factorization.

115140121164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22683299 (or 22683291 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 115140121164 its reverse (461121041511), we get a palindrome (576261162675).

The spelling of 115140121164 in words is "one hundred fifteen billion, one hundred forty million, one hundred twenty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 22683239 45366478 68049717 90732956 136099434 204149151 272198868 408298302 612447453 816596604 1066112233 1224894906 2132224466 2449789812 3198336699 4264448932 6396673398 9595010097 12793346796 19190020194 28785030291 38380040388 57570060582 115140121164