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131392941264 = 24331323396179
BaseRepresentation
bin111101001011110100…
…0010010110011010000
3110120010222222222211000
41322113220102303100
54123043043110024
6140205554422000
712331016400414
oct1722750226320
9416128888730
10131392941264
11507a5987562
122156b291900
13c50c651430
1465064a0d44
1536402b1cc9
hex1e97a12cd0

131392941264 has 80 divisors (see below), whose sum is σ = 406157684800. Its totient is φ = 40428595584.

The previous prime is 131392941257. The next prime is 131392941289. The reversal of 131392941264 is 462149293131.

131392941264 is a `hidden beast` number, since 131 + 392 + 9 + 4 + 126 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11692474 + ... + 11703705.

It is an arithmetic number, because the mean of its divisors is an integer number (5076971060).

Almost surely, 2131392941264 is an apocalyptic number.

It is an amenable number.

131392941264 is an abundant number, since it is smaller than the sum of its proper divisors (274764743536).

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

131392941264 is a wasteful number, since it uses less digits than its factorization.

131392941264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23396209 (or 23396197 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 131392941264 in words is "one hundred thirty-one billion, three hundred ninety-two million, nine hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 23396179 46792358 70188537 93584716 140377074 187169432 210565611 280754148 304150327 374338864 421131222 561508296 608300654 631696833 842262444 912450981 1123016592 1216601308 1263393666 1684524888 1824901962 2433202616 2526787332 2737352943 3369049776 3649803924 4866405232 5053574664 5474705886 7299607848 8212058829 10107149328 10949411772 14599215696 16424117658 21898823544 32848235316 43797647088 65696470632 131392941264