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13831142560 = 25589339677
BaseRepresentation
bin11001110000110011…
…00111110010100000
31022200220201211201021
430320121213302200
5211311233030220
610204241215224
7666514525534
oct147031476240
938626654637
1013831142560
115958357134
122820031514
1313c5639931
14952cbdbc4
1555e3cb4aa
hex338667ca0

13831142560 has 48 divisors (see below), whose sum is σ = 32683109256. Its totient is φ = 5531266048.

The previous prime is 13831142551. The next prime is 13831142561. The reversal of 13831142560 is 6524113831.

It can be written as a sum of positive squares in 4 ways, for example, as 10675848976 + 3155293584 = 103324^2 + 56172^2 .

It is not an unprimeable number, because it can be changed into a prime (13831142561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1424442 + ... + 1434118.

Almost surely, 213831142560 is an apocalyptic number.

13831142560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13831142560 is an abundant number, since it is smaller than the sum of its proper divisors (18851966696).

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

13831142560 is an equidigital number, since it uses as much as digits as its factorization.

13831142560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18625 (or 18617 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 13831142560 in words is "thirteen billion, eight hundred thirty-one million, one hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 8933 9677 17866 19354 35732 38708 44665 48385 71464 77416 89330 96770 142928 154832 178660 193540 285856 309664 357320 387080 714640 774160 1429280 1548320 86444641 172889282 345778564 432223205 691557128 864446410 1383114256 1728892820 2766228512 3457785640 6915571280 13831142560