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12313512414 = 2327937104297
BaseRepresentation
bin10110111011111000…
…10100100111011110
31011210011001020112100
423131330110213132
5200204224344124
65353505145530
7614066062050
oct133574244736
934704036470
1012313512414
115249725145
12247792b2a6
1312130b3b28
1484b50b8d0
154c104d1c9
hex2ddf149de

12313512414 has 48 divisors (see below), whose sum is σ = 30523435488. Its totient is φ = 3514358016.

The previous prime is 12313512413. The next prime is 12313512439. The reversal of 12313512414 is 41421531321.

12313512414 is a `hidden beast` number, since 1 + 231 + 3 + 5 + 12 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313512413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65914 + ... + 170210.

It is an arithmetic number, because the mean of its divisors is an integer number (635904906).

Almost surely, 212313512414 is an apocalyptic number.

12313512414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12313512414 is an abundant number, since it is smaller than the sum of its proper divisors (18209923074).

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

12313512414 is a wasteful number, since it uses less digits than its factorization.

12313512414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105249 (or 105246 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The spelling of 12313512414 in words is "twelve billion, three hundred thirteen million, five hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 937 1874 2811 5622 6559 8433 13118 16866 19677 39354 59031 104297 118062 208594 312891 625782 730079 938673 1460158 1877346 2190237 4380474 6570711 13141422 97726289 195452578 293178867 586357734 684084023 879536601 1368168046 1759073202 2052252069 4104504138 6156756207 12313512414