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14444376816 = 243300924517
BaseRepresentation
bin11010111001111001…
…11011001011110000
31101021122122100222010
431130330323023300
5214040230024231
610345145042520
71020642114522
oct153474731360
941248570863
1014444376816
116142524101
122971486440
1314926ba23c
149b050da12
15598160546
hex35cf3b2f0

14444376816 has 20 divisors (see below), whose sum is σ = 37314640232. Its totient is φ = 4814792256.

The previous prime is 14444376787. The next prime is 14444376823. The reversal of 14444376816 is 61867344441.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 300924517 = 14444376816 / (1 + 4 + 4 + 4 + 4 + 3 + 7 + 6 + 8 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150462211 + ... + 150462306.

Almost surely, 214444376816 is an apocalyptic number.

14444376816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14444376816 is an abundant number, since it is smaller than the sum of its proper divisors (22870263416).

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

14444376816 is a wasteful number, since it uses less digits than its factorization.

14444376816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300924528 (or 300924522 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 14444376816 in words is "fourteen billion, four hundred forty-four million, three hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 300924517 601849034 902773551 1203698068 1805547102 2407396136 3611094204 4814792272 7222188408 14444376816