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131366434760 = 235112312980873
BaseRepresentation
bin111101001011000001…
…1001011011111001000
3110120002011010022201122
41322112003023133020
54123014301403020
6140203210334412
712330245162111
oct1722603133710
9416064108648
10131366434760
1150791a22860
122156242a408
13c507000602
146502b61208
15363ccc8125
hex1e960cb7c8

131366434760 has 64 divisors (see below), whose sum is σ = 336464254080. Its totient is φ = 45692669440.

The previous prime is 131366434751. The next prime is 131366434807. The reversal of 131366434760 is 67434663131.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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, 6480317 + ... + 6500556.

It is an arithmetic number, because the mean of its divisors is an integer number (5257253970).

Almost surely, 2131366434760 is an apocalyptic number.

131366434760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131366434760 is an abundant number, since it is smaller than the sum of its proper divisors (205097819320).

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

131366434760 is a wasteful number, since it uses less digits than its factorization.

131366434760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12980918 (or 12980914 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 44.

The spelling of 131366434760 in words is "one hundred thirty-one billion, three hundred sixty-six million, four hundred thirty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 12980873 25961746 51923492 64904365 103846984 129808730 142789603 259617460 285579206 298560079 519234920 571158412 597120158 713948015 1142316824 1194240316 1427896030 1492800395 2388480632 2855792060 2985600790 3284160869 5711584120 5971201580 6568321738 11942403160 13136643476 16420804345 26273286952 32841608690 65683217380 131366434760