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13920000315 = 3513233103679
BaseRepresentation
bin11001111011011001…
…00101100100111011
31022221002221021122020
430331230211210323
5212002010002230
610221133525523
71001644023204
oct147554454473
938832837566
1013920000315
1159a35282a1
1228459438a3
13140ab7b9a0
14960a105ab
155670ce810
hex33db2593b

13920000315 has 32 divisors (see below), whose sum is σ = 25028075520. Its totient is φ = 6554967936.

The previous prime is 13920000287. The next prime is 13920000359. The reversal of 13920000315 is 51300002931.

It is a happy number.

It is not a de Polignac number, because 13920000315 - 222 = 13915806011 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1547355 + ... + 1556324.

It is an arithmetic number, because the mean of its divisors is an integer number (782127360).

Almost surely, 213920000315 is an apocalyptic number.

13920000315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13920000315 is a deficient number, since it is larger than the sum of its proper divisors (11108075205).

13920000315 is a wasteful number, since it uses less digits than its factorization.

13920000315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103723.

The product of its (nonzero) digits is 810, while the sum is 24.

The spelling of 13920000315 in words is "thirteen billion, nine hundred twenty million, three hundred fifteen", and thus it is an aban number.

Divisors: 1 3 5 13 15 23 39 65 69 115 195 299 345 897 1495 4485 3103679 9311037 15518395 40347827 46555185 71384617 121043481 201739135 214153851 356923085 605217405 928000021 1070769255 2784000063 4640000105 13920000315