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12343907810304 = 21039787491
BaseRepresentation
bin1011001110100000101000…
…1111010111110000000000
31121201001210011022000000000
42303220022033113300000
53104220310344412204
642130414000000000
72412550354116540
oct263501217276000
947631704260000
1012343907810304
113a2a027176934
1214743b9900000
136b7044084925
1430963c2c5320
151661601cb039
hexb3a0a3d7c00

12343907810304 has 440 divisors, whose sum is σ = 42301071719808. Its totient is φ = 3526790492160.

The previous prime is 12343907810279. The next prime is 12343907810359. The reversal of 12343907810304 is 40301870934321.

12343907810304 is a `hidden beast` number, since 1 + 234 + 39 + 0 + 7 + 81 + 0 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12343907810304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141043999 + ... + 141131489.

Almost surely, 212343907810304 is an apocalyptic number.

12343907810304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12343907810304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150535859904).

12343907810304 is an abundant number, since it is smaller than the sum of its proper divisors (29957163909504).

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

12343907810304 is an frugal number, since it uses more digits than its factorization.

12343907810304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87545 (or 87503 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12343907810304 in words is "twelve trillion, three hundred forty-three billion, nine hundred seven million, eight hundred ten thousand, three hundred four".