Search a number
-
+
115442565120 = 214335194167
BaseRepresentation
bin110101110000011101…
…0011100000000000000
3102000222101112221011000
41223200322130000000
53342411244040440
6125011130452000
711224526420151
oct1534072340000
9360871487130
10115442565120
1144a60355913
121a459594000
13ab69c5133c
145831d69928
153009d1e730
hex1ae0e9c000

115442565120 has 960 divisors, whose sum is σ = 449196249600. Its totient is φ = 28028436480.

The previous prime is 115442565071. The next prime is 115442565127. The reversal of 115442565120 is 21565244511.

115442565120 is a `hidden beast` number, since 1 + 1 + 54 + 42 + 56 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1154425651202 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (115442565127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1723023327 + ... + 1723023393.

It is an arithmetic number, because the mean of its divisors is an integer number (467912760).

Almost surely, 2115442565120 is an apocalyptic number.

115442565120 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 115442565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224598124800).

115442565120 is an abundant number, since it is smaller than the sum of its proper divisors (333753684480).

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

115442565120 is an equidigital number, since it uses as much as digits as its factorization.

115442565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 115442565120 in words is "one hundred fifteen billion, four hundred forty-two million, five hundred sixty-five thousand, one hundred twenty".