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14424859728 = 243411130293
BaseRepresentation
bin11010110111100100…
…11110010001010000
31101020021220210120000
431123302132101100
5214020231002403
610343210450000
71020314166426
oct153362362120
941207823500
1014424859728
116132503684
122966a33900
13148b645876
149abaad116
155965a77a3
hex35bc9e450

14424859728 has 50 divisors (see below), whose sum is σ = 41749732794. Its totient is φ = 4808286144.

The previous prime is 14424859697. The next prime is 14424859733. The reversal of 14424859728 is 82795842441.

14424859728 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 48 + 597 + 2 + 8 = 666.

14424859728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10146129984 + 4278729744 = 100728^2 + 65412^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5563851 + ... + 5566442.

Almost surely, 214424859728 is an apocalyptic number.

14424859728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14424859728 is an abundant number, since it is smaller than the sum of its proper divisors (27324873066).

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

14424859728 is a wasteful number, since it uses less digits than its factorization.

14424859728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11130313 (or 11130298 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 14424859728 in words is "fourteen billion, four hundred twenty-four million, eight hundred fifty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 11130293 22260586 33390879 44521172 66781758 89042344 100172637 133563516 178084688 200345274 267127032 300517911 400690548 534254064 601035822 801381096 901553733 1202071644 1602762192 1803107466 2404143288 3606214932 4808286576 7212429864 14424859728