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14076139392 = 273374011451
BaseRepresentation
bin11010001110000000…
…01101011110000000
31100022222201222012000
431013000031132000
5212311442430032
610244432304000
71005551132160
oct150700153600
940288658160
1014076139392
115a73682957
12288a0a2000
131434319c83
149776565a0
15575b72e7c
hex34700d780

14076139392 has 256 divisors, whose sum is σ = 47630246400. Its totient is φ = 4008960000.

The previous prime is 14076139387. The next prime is 14076139409. The reversal of 14076139392 is 29393167041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9700267 + ... + 9701717.

It is an arithmetic number, because the mean of its divisors is an integer number (186055650).

Almost surely, 214076139392 is an apocalyptic number.

14076139392 is a gapful number since it is divisible by the number (12) 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 14076139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23815123200).

14076139392 is an abundant number, since it is smaller than the sum of its proper divisors (33554107008).

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

14076139392 is a wasteful number, since it uses less digits than its factorization.

14076139392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 14076139392 in words is "fourteen billion, seventy-six million, one hundred thirty-nine thousand, three hundred ninety-two".