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14431697424 = 2434472712
BaseRepresentation
bin11010111000011001…
…00011101000010000
31101020202210012010000
431130030203220100
5214024003304144
610344013210000
71020426255414
oct153414435020
941222705100
1014431697424
116136353971
122969190900
13148cb9ac41
149ac96cd44
15596ea8769
hex35c323a10

14431697424 has 225 divisors, whose sum is σ = 43286693791. Its totient is φ = 4641900480.

The previous prime is 14431697411. The next prime is 14431697447. The reversal of 14431697424 is 42479613441.

The square root of 14431697424 is 120132.

It is a perfect power (a square), and thus also a powerful number.

14431697424 is a `hidden beast` number, since 1 + 443 + 169 + 7 + 42 + 4 = 666.

It is a Duffinian number.

Its product of digits (580608) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 14431697424.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 203263309 + ... + 203263379.

Almost surely, 214431697424 is an apocalyptic number.

14431697424 is the 120132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14431697424

14431697424 is an abundant number, since it is smaller than the sum of its proper divisors (28854996367).

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

14431697424 is an frugal number, since it uses more digits than its factorization.

14431697424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 123 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 14431697424 in words is "fourteen billion, four hundred thirty-one million, six hundred ninety-seven thousand, four hundred twenty-four".