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14401714500 = 22325323347401
BaseRepresentation
bin11010110100110100…
…01011100101000100
31101011200100220021100
431122122023211010
5213443314331000
610341022420100
71016613360555
oct153232134504
941150326240
1014401714500
116120435298
12295b131630
131486900974
149a89a632c
15594534a00
hex35a68b944

14401714500 has 288 divisors, whose sum is σ = 47663126784. Its totient is φ = 3653760000.

The previous prime is 14401714429. The next prime is 14401714531. The reversal of 14401714500 is 541710441.

14401714500 is a `hidden beast` number, since 1 + 4 + 40 + 171 + 450 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35914300 + ... + 35914700.

It is an arithmetic number, because the mean of its divisors is an integer number (165496968).

Almost surely, 214401714500 is an apocalyptic number.

14401714500 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 14401714500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23831563392).

14401714500 is an abundant number, since it is smaller than the sum of its proper divisors (33261412284).

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

14401714500 is a wasteful number, since it uses less digits than its factorization.

14401714500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 14401714500 in words is "fourteen billion, four hundred one million, seven hundred fourteen thousand, five hundred".