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14013918720 = 293251737967
BaseRepresentation
bin11010000110100101…
…10110111000000000
31100011122122211110200
431003102312320000
5212200030344340
610234330525200
71004164225614
oct150322667000
940148584420
1014013918720
115a4154560a
122871296800
1314244732c9
1496d29b344
15570482330
hex3434b6e00

14013918720 has 480 divisors, whose sum is σ = 52832564928. Its totient is φ = 3418619904.

The previous prime is 14013918719. The next prime is 14013918767. The reversal of 14013918720 is 2781931041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14491677 + ... + 14492643.

Almost surely, 214013918720 is an apocalyptic number.

14013918720 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 14013918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26416282464).

14013918720 is an abundant number, since it is smaller than the sum of its proper divisors (38818646208).

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

14013918720 is a wasteful number, since it uses less digits than its factorization.

14013918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 14013918720 in words is "fourteen billion, thirteen million, nine hundred eighteen thousand, seven hundred twenty".