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116141059440 = 24345723111323
BaseRepresentation
bin110110000101010001…
…0111110110101110000
3102002210001220010020000
41230022202332311300
53400324102400230
6125204321550000
711251040500560
oct1541242766560
9362701803200
10116141059440
1145289666a4a
121a6134a5300
13ac4b8842a3
14589aa30da0
15304b2e5b60
hex1b0a8bed70

116141059440 has 400 divisors, whose sum is σ = 481047925248. Its totient is φ = 25392102912.

The previous prime is 116141059429. The next prime is 116141059457. The reversal of 116141059440 is 44950141611.

116141059440 is a `hidden beast` number, since 1 + 1 + 6 + 14 + 10 + 594 + 40 = 666.

It is a super-2 number, since 2×1161410594402 (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 = 116141059395 and 116141059404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 987619 + ... + 1098941.

Almost surely, 2116141059440 is an apocalyptic number.

116141059440 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 116141059440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240523962624).

116141059440 is an abundant number, since it is smaller than the sum of its proper divisors (364906865808).

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

116141059440 is a wasteful number, since it uses less digits than its factorization.

116141059440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111378 (or 111363 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 116141059440 in words is "one hundred sixteen billion, one hundred forty-one million, fifty-nine thousand, four hundred forty".