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131494730976 = 25327371762853
BaseRepresentation
bin111101001110110110…
…0100101110011100000
3110120102002112110001100
41322131230211303200
54123300122342401
6140224032234400
712333363525420
oct1723554456340
9416362473040
10131494730976
1150848390694
122159939ba00
13c52777072b
146515bda480
1536491bbb86
hex1e9db25ce0

131494730976 has 144 divisors (see below), whose sum is σ = 438908337504. Its totient is φ = 36554499072.

The previous prime is 131494730921. The next prime is 131494730987. The reversal of 131494730976 is 679037494131.

131494730976 is a `hidden beast` number, since 1 + 31 + 494 + 7 + 30 + 97 + 6 = 666.

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

It is a super-2 number, since 2×1314947309762 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806835 + ... + 956018.

It is an arithmetic number, because the mean of its divisors is an integer number (3047974566).

Almost surely, 2131494730976 is an apocalyptic number.

131494730976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131494730976 is an abundant number, since it is smaller than the sum of its proper divisors (307413606528).

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

131494730976 is a wasteful number, since it uses less digits than its factorization.

131494730976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762913 (or 1762902 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 131494730976 in words is "one hundred thirty-one billion, four hundred ninety-four million, seven hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 222 224 252 259 288 296 333 336 444 504 518 592 666 672 777 888 1008 1036 1184 1332 1554 1776 2016 2072 2331 2664 3108 3552 4144 4662 5328 6216 8288 9324 10656 12432 18648 24864 37296 74592 1762853 3525706 5288559 7051412 10577118 12339971 14102824 15865677 21154236 24679942 28205648 31731354 37019913 42308472 49359884 56411296 63462708 65225561 74039826 84616944 98719768 111059739 126925416 130451122 148079652 169233888 195676683 197439536 222119478 253850832 260902244 296159304 391353366 394879072 444238956 456578927 507701664 521804488 587030049 592318608 782706732 888477912 913157854 1043608976 1174060098 1184637216 1369736781 1565413464 1776955824 1826315708 2087217952 2348120196 2739473562 3130826928 3553911648 3652631416 4109210343 4696240392 5478947124 6261653856 7305262832 8218420686 9392480784 10957894248 14610525664 16436841372 18784961568 21915788496 32873682744 43831576992 65747365488 131494730976