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116312405440 = 2657211897577
BaseRepresentation
bin110110001010011000…
…0100111010111000000
3102010020000022101202011
41230110300213113000
53401201433433230
6125233322302304
711255221063600
oct1542460472700
9363200271664
10116312405440
1145367358810
121a660957994
13ac7821815a
1458b56b4c00
15305b38ee2a
hex1b14c275c0

116312405440 has 336 divisors, whose sum is σ = 355474280160. Its totient is φ = 35841146880.

The previous prime is 116312405399. The next prime is 116312405441. The reversal of 116312405440 is 44504213611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116312405441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15346932 + ... + 15354508.

Almost surely, 2116312405440 is an apocalyptic number.

116312405440 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 116312405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177737140080).

116312405440 is an abundant number, since it is smaller than the sum of its proper divisors (239161874720).

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

116312405440 is a wasteful number, since it uses less digits than its factorization.

116312405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 116312405440 in words is "one hundred sixteen billion, three hundred twelve million, four hundred five thousand, four hundred forty".