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14384431080 = 23325195339679
BaseRepresentation
bin11010110010110000…
…01111111111101000
31101010110211210212200
431121120033333220
5213424403243310
610335204140200
71016313434565
oct153130177750
941113753780
1014384431080
1161116aaa78
122955397660
13148315bba6
149a658786c
15592c6d9c0
hex35960ffe8

14384431080 has 192 divisors, whose sum is σ = 50139648000. Its totient is φ = 3565306368.

The previous prime is 14384431043. The next prime is 14384431097. The reversal of 14384431080 is 8013448341.

14384431080 is a `hidden beast` number, since 143 + 8 + 4 + 431 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342681 + ... + 382359.

It is an arithmetic number, because the mean of its divisors is an integer number (261144000).

Almost surely, 214384431080 is an apocalyptic number.

14384431080 is a gapful number since it is divisible by the number (10) 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 14384431080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25069824000).

14384431080 is an abundant number, since it is smaller than the sum of its proper divisors (35755216920).

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

14384431080 is a wasteful number, since it uses less digits than its factorization.

14384431080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39768 (or 39761 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14384431080 in words is "fourteen billion, three hundred eighty-four million, four hundred thirty-one thousand, eighty".