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118332947040 = 253571123141229
BaseRepresentation
bin110111000110100110…
…0010111101001100000
3102022102211022112202020
41232031030113221200
53414321213301130
6130210021421440
711356254311460
oct1561514275140
9368384275666
10118332947040
1146203955600
121ab2556a880
13b20aa052b9
145a27b99ba0
15312895de10
hex1b8d317a60

118332947040 has 1152 divisors, whose sum is σ = 497302364160. Its totient is φ = 23113728000.

The previous prime is 118332947023. The next prime is 118332947041. The reversal of 118332947040 is 40749233811.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 118332946983 and 118332947001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118332947041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 516737646 + ... + 516737874.

It is an arithmetic number, because the mean of its divisors is an integer number (431686080).

Almost surely, 2118332947040 is an apocalyptic number.

118332947040 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 118332947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248651182080).

118332947040 is an abundant number, since it is smaller than the sum of its proper divisors (378969417120).

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

118332947040 is a wasteful number, since it uses less digits than its factorization.

118332947040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 118332947040 in words is "one hundred eighteen billion, three hundred thirty-two million, nine hundred forty-seven thousand, forty".