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14010534720 = 2632573131091
BaseRepresentation
bin11010000110001011…
…11100101101000000
31100011102021220111100
431003011330231000
5212143144102340
610234130214400
71004123403000
oct150305745500
940142256440
1014010534720
115a3a644116
122870124400
131423859c40
1496ca5a000
15570014830
hex34317cb40

14010534720 has 672 divisors, whose sum is σ = 60577171200. Its totient is φ = 2953359360.

The previous prime is 14010534691. The next prime is 14010534799. The reversal of 14010534720 is 2743501041.

14010534720 is a `hidden beast` number, since 140 + 1 + 0 + 53 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12841375 + ... + 12842465.

It is an arithmetic number, because the mean of its divisors is an integer number (90144600).

Almost surely, 214010534720 is an apocalyptic number.

14010534720 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 14010534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30288585600).

14010534720 is an abundant number, since it is smaller than the sum of its proper divisors (46566636480).

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

14010534720 is a wasteful number, since it uses less digits than its factorization.

14010534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 14010534720 in words is "fourteen billion, ten million, five hundred thirty-four thousand, seven hundred twenty".