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14000731920 = 2432573775079
BaseRepresentation
bin11010000101000001…
…00011011100010000
31100010201211212120200
431002200203130100
5212133141410140
610233140135200
71003644154260
oct150240433420
940121755520
1014000731920
115a3505912a
122868997500
131421807076
1496b6277a0
1556e22a030
hex342823710

14000731920 has 240 divisors, whose sum is σ = 55189205760. Its totient is φ = 3113634816.

The previous prime is 14000731889. The next prime is 14000731937. The reversal of 14000731920 is 2913700041.

14000731920 is a `hidden beast` number, since 1 + 400 + 0 + 73 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 148941 + ... + 224019.

It is an arithmetic number, because the mean of its divisors is an integer number (229955024).

Almost surely, 214000731920 is an apocalyptic number.

14000731920 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 14000731920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27594602880).

14000731920 is an abundant number, since it is smaller than the sum of its proper divisors (41188473840).

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

14000731920 is a wasteful number, since it uses less digits than its factorization.

14000731920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75142 (or 75133 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 14000731920 in words is "fourteen billion, seven hundred thirty-one thousand, nine hundred twenty".