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118132439040 = 21133571131179
BaseRepresentation
bin110111000000100111…
…1011111100000000000
3102021220212000200111000
41232001033133200000
53413413401022130
6130134100052000
711351301110160
oct1560117374000
9367825020430
10118132439040
1146110755a10
121aa8a394000
13b1a8300a05
145a092c45a0
153116054260
hex1b813df800

118132439040 has 1536 divisors, whose sum is σ = 543449088000. Its totient is φ = 23622451200.

The previous prime is 118132439027. The next prime is 118132439057. The reversal of 118132439040 is 40934231811.

118132439040 is a `hidden beast` number, since 1 + 181 + 3 + 2 + 439 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1181324390402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 118132438986 and 118132439004.

It is a congruent number.

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, 659957671 + ... + 659957849.

It is an arithmetic number, because the mean of its divisors is an integer number (353808000).

Almost surely, 2118132439040 is an apocalyptic number.

118132439040 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 118132439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271724544000).

118132439040 is an abundant number, since it is smaller than the sum of its proper divisors (425316648960).

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

118132439040 is a wasteful number, since it uses less digits than its factorization.

118132439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 118132439040 in words is "one hundred eighteen billion, one hundred thirty-two million, four hundred thirty-nine thousand, forty".