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116939314440 = 233451319473109
BaseRepresentation
bin110110011101000100…
…0000101010100001000
3102011211200221200020000
41230322020011110020
53403442431030230
6125415435203000
711306602525614
oct1547210052410
9364750850200
10116939314440
1145659215823
121a7b68a6460
13b048075b20
145934a64344
153096425b60
hex1b3a205508

116939314440 has 640 divisors, whose sum is σ = 455184576000. Its totient is φ = 26681260032.

The previous prime is 116939314403. The next prime is 116939314469. The reversal of 116939314440 is 44413939611.

116939314440 is a `hidden beast` number, since 1 + 169 + 39 + 3 + 14 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37611606 + ... + 37614714.

It is an arithmetic number, because the mean of its divisors is an integer number (711225900).

Almost surely, 2116939314440 is an apocalyptic number.

116939314440 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 116939314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227592288000).

116939314440 is an abundant number, since it is smaller than the sum of its proper divisors (338245261560).

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

116939314440 is a wasteful number, since it uses less digits than its factorization.

116939314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 116939314440 in words is "one hundred sixteen billion, nine hundred thirty-nine million, three hundred fourteen thousand, four hundred forty".