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13144766130 = 233548684319
BaseRepresentation
bin11000011110111110…
…10011011010110010
31020221002012022021000
430033133103122302
5203410030004010
610012201542430
7643511445216
oct141737233262
936832168230
1013144766130
115635972391
12266a1a4a16
13131638a532
148c9a90946
1551deea7c0
hex30f7d36b2

13144766130 has 32 divisors (see below), whose sum is σ = 35052710400. Its totient is φ = 3505270896.

The previous prime is 13144766093. The next prime is 13144766149. The reversal of 13144766130 is 3166744131.

13144766130 is a `hidden beast` number, since 1 + 31 + 4 + 4 + 7 + 6 + 613 + 0 = 666.

It is a super-2 number, since 2×131447661302 (a number of 21 digits) contains 22 as substring.

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, 24341890 + ... + 24342429.

It is an arithmetic number, because the mean of its divisors is an integer number (1095397200).

Almost surely, 213144766130 is an apocalyptic number.

13144766130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13144766130 is an abundant number, since it is smaller than the sum of its proper divisors (21907944270).

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

13144766130 is a wasteful number, since it uses less digits than its factorization.

13144766130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48684335 (or 48684329 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13144766130 in words is "thirteen billion, one hundred forty-four million, seven hundred sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 48684319 97368638 146052957 243421595 292105914 438158871 486843190 730264785 876317742 1314476613 1460529570 2190794355 2628953226 4381588710 6572383065 13144766130