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113415603840 = 273657211241
BaseRepresentation
bin110100110100000011…
…0001100011010000000
3101211202010110122000000
41221220012030122000
53324233343310330
6124034042000000
711123354504100
oct1515006143200
9354663418000
10113415603840
1144110173900
1219b927a6000
13a906027176
1456bca93200
152e3bdd3560
hex1a6818c680

113415603840 has 2016 divisors, whose sum is σ = 532460480580. Its totient is φ = 22992076800.

The previous prime is 113415603823. The next prime is 113415603859. The reversal of 113415603840 is 48306514311.

113415603840 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 5 + 603 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99861056064 + 13554547776 = 316008^2 + 116424^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

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 = 113415603795 and 113415603804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2766234220 + ... + 2766234260.

Almost surely, 2113415603840 is an apocalyptic number.

113415603840 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 113415603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266230240290).

113415603840 is an abundant number, since it is smaller than the sum of its proper divisors (419044876740).

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

113415603840 is an equidigital number, since it uses as much as digits as its factorization.

113415603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 113415603840 in words is "one hundred thirteen billion, four hundred fifteen million, six hundred three thousand, eight hundred forty".