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14495500800 = 293452113141
BaseRepresentation
bin11010111111111111…
…11100101000000000
31101102012211201220000
431133333330220000
5214141322011200
610354212520000
71022132503164
oct153777745000
941365751800
1014495500800
116169372330
122986620000
1314a017a111
149b721aca4
1559c8ad300
hex35fffca00

14495500800 has 1200 divisors, whose sum is σ = 61887538944. Its totient is φ = 3317760000.

The previous prime is 14495500787. The next prime is 14495500847. The reversal of 14495500800 is 800559441.

14495500800 is a `hidden beast` number, since 144 + 9 + 5 + 500 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 6150 × 6138 × 384.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 353548780 + ... + 353548820.

Almost surely, 214495500800 is an apocalyptic number.

14495500800 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 14495500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30943769472).

14495500800 is an abundant number, since it is smaller than the sum of its proper divisors (47392038144).

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

14495500800 is a wasteful number, since it uses less digits than its factorization.

14495500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 14495500800 in words is "fourteen billion, four hundred ninety-five million, five hundred thousand, eight hundred".