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114596343120 = 243572171930169
BaseRepresentation
bin110101010111001111…
…0010110110101010000
3101221210102020101210110
41222232132112311100
53334143130434440
6124351141201320
711164542562500
oct1525636266520
9357712211713
10114596343120
1144666714796
121a262100240
13aa6383686c
14579180ba00
152eaa8b7080
hex1aae796d50

114596343120 has 480 divisors, whose sum is σ = 460601769600. Its totient is φ = 23354376192.

The previous prime is 114596343083. The next prime is 114596343143. The reversal of 114596343120 is 21343695411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3783396 + ... + 3813564.

It is an arithmetic number, because the mean of its divisors is an integer number (959587020).

Almost surely, 2114596343120 is an apocalyptic number.

114596343120 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 114596343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230300884800).

114596343120 is an abundant number, since it is smaller than the sum of its proper divisors (346005426480).

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

114596343120 is a wasteful number, since it uses less digits than its factorization.

114596343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30235 (or 30222 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 114596343120 in words is "one hundred fourteen billion, five hundred ninety-six million, three hundred forty-three thousand, one hundred twenty".