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14456157496 = 2311224161967
BaseRepresentation
bin11010111011010011…
…10111010100111000
31101022110210220000121
431131221313110320
5214101234014441
610350245343024
71021144211524
oct153551672470
941273726017
1014456157496
116149140100
122975407a74
131494c83461
149b1cd8d84
155991dadd1
hex35da77538

14456157496 has 48 divisors (see below), whose sum is σ = 29917530720. Its totient is φ = 6543609600.

The previous prime is 14456157479. The next prime is 14456157497. The reversal of 14456157496 is 69475165441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14456157497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202305 + ... + 264271.

It is an arithmetic number, because the mean of its divisors is an integer number (623281890).

Almost surely, 214456157496 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 14456157496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958765360).

14456157496 is an abundant number, since it is smaller than the sum of its proper divisors (15461373224).

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

14456157496 is a wasteful number, since it uses less digits than its factorization.

14456157496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62236 (or 62221 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The spelling of 14456157496 in words is "fourteen billion, four hundred fifty-six million, one hundred fifty-seven thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 88 121 241 242 482 484 964 968 1928 2651 5302 10604 21208 29161 58322 61967 116644 123934 233288 247868 495736 681637 1363274 2726548 5453096 7498007 14934047 14996014 29868094 29992028 59736188 59984056 119472376 164274517 328549034 657098068 1314196136 1807019687 3614039374 7228078748 14456157496