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14384047392 = 25341113151257
BaseRepresentation
bin11010110010101101…
…10010010100100000
31101010110010022120000
431121112302110200
5213424304004032
610335152020000
71016310246141
oct153126622440
941113108500
1014384047392
116111468780
122955231600
131483056360
149a64c7ac8
15592be4e7c
hex3595b2520

14384047392 has 480 divisors, whose sum is σ = 50222519424. Its totient is φ = 3981312000.

The previous prime is 14384047387. The next prime is 14384047409. The reversal of 14384047392 is 29374048341.

14384047392 is a `hidden beast` number, since 14 + 3 + 84 + 0 + 473 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55968928 + ... + 55969184.

Almost surely, 214384047392 is an apocalyptic number.

14384047392 is a gapful number since it is divisible by the number (12) 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 14384047392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25111259712).

14384047392 is an abundant number, since it is smaller than the sum of its proper divisors (35838472032).

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

14384047392 is a wasteful number, since it uses less digits than its factorization.

14384047392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 14384047392 in words is "fourteen billion, three hundred eighty-four million, forty-seven thousand, three hundred ninety-two".