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115040170144 = 25172353283613
BaseRepresentation
bin110101100100011101…
…1011011000010100000
3101222221100101011000101
41223020323123002200
53341100240421034
6124503154032144
711211542212024
oct1531073330240
9358840334011
10115040170144
11448741a4589
121a366878654
13ab047818c3
1457d4740384
152ed4836514
hex1ac8edb0a0

115040170144 has 192 divisors, whose sum is σ = 256274129664. Its totient is φ = 50543640576.

The previous prime is 115040170129. The next prime is 115040170159. The reversal of 115040170144 is 441071040511.

It is an interprime number because it is at equal distance from previous prime (115040170129) and next prime (115040170159).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187667182 + ... + 187667794.

It is an arithmetic number, because the mean of its divisors is an integer number (1334761092).

Almost surely, 2115040170144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115040170144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128137064832).

115040170144 is an abundant number, since it is smaller than the sum of its proper divisors (141233959520).

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

115040170144 is a wasteful number, since it uses less digits than its factorization.

115040170144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The spelling of 115040170144 in words is "one hundred fifteen billion, forty million, one hundred seventy thousand, one hundred forty-four".