Search a number
-
+
115344284160 = 2935731671033
BaseRepresentation
bin110101101101100001…
…1100001101000000000
3102000201112121202000110
41223123003201220000
53342211114043120
6124553300151320
711222224144560
oct1533303415000
9360645552013
10115344284160
1144a0a928986
121a430698540
13ab52790121
145822ca4da0
1530013a92e0
hex1adb0e1a00

115344284160 has 640 divisors, whose sum is σ = 441932857344. Its totient is φ = 25108807680.

The previous prime is 115344284149. The next prime is 115344284179. The reversal of 115344284160 is 61482443511.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111659004 + ... + 111660036.

Almost surely, 2115344284160 is an apocalyptic number.

115344284160 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 115344284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220966428672).

115344284160 is an abundant number, since it is smaller than the sum of its proper divisors (326588573184).

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

115344284160 is a wasteful number, since it uses less digits than its factorization.

115344284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 115344284160 in words is "one hundred fifteen billion, three hundred forty-four million, two hundred eighty-four thousand, one hundred sixty".