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14023924992 = 2832711137577
BaseRepresentation
bin11010000111110010…
…00001110100000000
31100012100111012111100
431003321001310000
5212210111044432
610235325214400
71004345252460
oct150371016400
940170435440
1014023924992
115a4715a460
122874701400
13142656798c
14970743ba0
155712ac07c
hex343e41d00

14023924992 has 432 divisors, whose sum is σ = 50867736192. Its totient is φ = 3609722880.

The previous prime is 14023924913. The next prime is 14023925021. The reversal of 14023924992 is 29942932041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24304608 + ... + 24305184.

Almost surely, 214023924992 is an apocalyptic number.

14023924992 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 14023924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25433868096).

14023924992 is an abundant number, since it is smaller than the sum of its proper divisors (36843811200).

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

14023924992 is a wasteful number, since it uses less digits than its factorization.

14023924992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 14023924992 in words is "fourteen billion, twenty-three million, nine hundred twenty-four thousand, nine hundred ninety-two".