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14444711268 = 223132931127811
BaseRepresentation
bin11010111001111100…
…01100110101100100
31101021200021100202020
431130332030311210
5214040321230033
610345200143140
71020645006561
oct153476146544
941250240666
1014444711268
116142732409
122971607ab0
1314927a6540
149b0599868
155981c96b3
hex35cf8cd64

14444711268 has 192 divisors, whose sum is σ = 39113195520. Its totient is φ = 4115059200.

The previous prime is 14444711263. The next prime is 14444711327. The reversal of 14444711268 is 86211744441.

It is not an unprimeable number, because it can be changed into a prime (14444711263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17810583 + ... + 17811393.

It is an arithmetic number, because the mean of its divisors is an integer number (203714560).

Almost surely, 214444711268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14444711268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19556597760).

14444711268 is an abundant number, since it is smaller than the sum of its proper divisors (24668484252).

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

14444711268 is a wasteful number, since it uses less digits than its factorization.

14444711268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1016 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The spelling of 14444711268 in words is "fourteen billion, four hundred forty-four million, seven hundred eleven thousand, two hundred sixty-eight".