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14002384704 = 2637111979631
BaseRepresentation
bin11010000101001101…
…10110111101000000
31100010211221211202220
431002212312331000
5212134102302304
610233235411040
71003664210010
oct150246667500
940124854686
1014002384704
115a35a87970
122869453a80
131421c65449
1496b937c40
1556e454ad9
hex3429b6f40

14002384704 has 448 divisors, whose sum is σ = 49314201600. Its totient is φ = 3396556800.

The previous prime is 14002384691. The next prime is 14002384733. The reversal of 14002384704 is 40748320041.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22190469 + ... + 22191099.

Almost surely, 214002384704 is an apocalyptic number.

14002384704 is a gapful number since it is divisible by the number (14) 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 14002384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24657100800).

14002384704 is an abundant number, since it is smaller than the sum of its proper divisors (35311816896).

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

14002384704 is a wasteful number, since it uses less digits than its factorization.

14002384704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 14002384704 in words is "fourteen billion, two million, three hundred eighty-four thousand, seven hundred four".