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14389344000 = 283253172939
BaseRepresentation
bin11010110011010101…
…11111011100000000
31101010211002102010200
431121222333130000
5213432133002000
610335501325200
71016403256143
oct153152773400
941124072120
1014389344000
116114456139
122956b66800
13148418c145
149a70a605a
155933de500
hex359abf700

14389344000 has 432 divisors, whose sum is σ = 54841419360. Its totient is φ = 3610214400.

The previous prime is 14389343989. The next prime is 14389344023. The reversal of 14389344000 is 44398341.

14389344000 is a `hidden beast` number, since 143 + 89 + 34 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4894531 + ... + 4897469.

It is an arithmetic number, because the mean of its divisors is an integer number (126947730).

Almost surely, 214389344000 is an apocalyptic number.

14389344000 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 14389344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420709680).

14389344000 is an abundant number, since it is smaller than the sum of its proper divisors (40452075360).

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

14389344000 is a wasteful number, since it uses less digits than its factorization.

14389344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14389344000 in words is "fourteen billion, three hundred eighty-nine million, three hundred forty-four thousand".