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13914101292 = 22371312741851
BaseRepresentation
bin11001111010101100…
…00101011000101100
31022220200211120200220
430331112011120230
5211444002220132
610220403251340
71001542623660
oct147526053054
938820746626
1013914101292
1159a0169273
122843979b50
131409894940
1495dd168a0
15566816a2c
hex33d58562c

13914101292 has 48 divisors (see below), whose sum is σ = 39958447872. Its totient is φ = 3669652800.

The previous prime is 13914101273. The next prime is 13914101297. The reversal of 13914101292 is 29210141931.

13914101292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13914101297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6369834 + ... + 6372017.

It is an arithmetic number, because the mean of its divisors is an integer number (832467664).

Almost surely, 213914101292 is an apocalyptic number.

13914101292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13914101292 is an abundant number, since it is smaller than the sum of its proper divisors (26044346580).

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

13914101292 is a wasteful number, since it uses less digits than its factorization.

13914101292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12741878 (or 12741876 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 13914101292 in words is "thirteen billion, nine hundred fourteen million, one hundred one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 12741851 25483702 38225553 50967404 76451106 89192957 152902212 165644063 178385914 267578871 331288126 356771828 496932189 535157742 662576252 993864378 1070315484 1159508441 1987728756 2319016882 3478525323 4638033764 6957050646 13914101292