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14448996432 = 2434134771257
BaseRepresentation
bin11010111010011101…
…00011000001010000
31101021222100001220000
431131032203001100
5214042420341212
610345432050000
71021026305013
oct153516430120
941258301800
1014448996432
116145099972
122972b33900
131493646b40
149b0d9337a
155987741dc
hex35d3a3050

14448996432 has 400 divisors, whose sum is σ = 46824003072. Its totient is φ = 4273274880.

The previous prime is 14448996413. The next prime is 14448996467. The reversal of 14448996432 is 23469984441.

14448996432 is a `hidden beast` number, since 1 + 4 + 44 + 89 + 96 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56221648 + ... + 56221904.

Almost surely, 214448996432 is an apocalyptic number.

14448996432 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 14448996432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23412001536).

14448996432 is an abundant number, since it is smaller than the sum of its proper divisors (32375006640).

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

14448996432 is a wasteful number, since it uses less digits than its factorization.

14448996432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 14448996432 in words is "fourteen billion, four hundred forty-eight million, nine hundred ninety-six thousand, four hundred thirty-two".