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14013039600 = 243252721937113
BaseRepresentation
bin11010000110011111…
…00000001111110000
31100011121000011112200
431003033200033300
5212144314231400
610234300023200
71004153604600
oct150317401760
940147004480
1014013039600
115a40aa506a
122870b31b00
131424226111
1496d10cc00
1557035bb00
hex3433e03f0

14013039600 has 1080 divisors, whose sum is σ = 61696430640. Its totient is φ = 2926264320.

The previous prime is 14013039583. The next prime is 14013039629. The reversal of 14013039600 is 693031041.

14013039600 is a `hidden beast` number, since 1 + 40 + 13 + 0 + 3 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 124009144 + ... + 124009256.

Almost surely, 214013039600 is an apocalyptic number.

14013039600 is a gapful number since it is divisible by the number (10) 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 14013039600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30848215320).

14013039600 is an abundant number, since it is smaller than the sum of its proper divisors (47683391040).

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

14013039600 is a wasteful number, since it uses less digits than its factorization.

14013039600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 14013039600 in words is "fourteen billion, thirteen million, thirty-nine thousand, six hundred".