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118380141360 = 243351329373929
BaseRepresentation
bin110111001000000000…
…0011001101100110000
3102022120010010021012000
41232100000121230300
53414420304010420
6130214425134000
711360366412315
oct1562000315460
9368503107160
10118380141360
114622855a378
121ab3932a300
13b21771a630
145a30162d0c
15312cb82690
hex1b90019b30

118380141360 has 640 divisors, whose sum is σ = 466657632000. Its totient is φ = 27367538688.

The previous prime is 118380141343. The next prime is 118380141371. The reversal of 118380141360 is 63141083811.

118380141360 is a `hidden beast` number, since 1 + 1 + 83 + 80 + 141 + 360 = 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 127 ways as a sum of consecutive naturals, for example, 30127876 + ... + 30131804.

It is an arithmetic number, because the mean of its divisors is an integer number (729152550).

Almost surely, 2118380141360 is an apocalyptic number.

118380141360 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 118380141360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233328816000).

118380141360 is an abundant number, since it is smaller than the sum of its proper divisors (348277490640).

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

118380141360 is a wasteful number, since it uses less digits than its factorization.

118380141360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 118380141360 in words is "one hundred eighteen billion, three hundred eighty million, one hundred forty-one thousand, three hundred sixty".