Search a number
-
+
115108244951040 = 2123551159157227
BaseRepresentation
bin11010001011000010111010…
…000011010001000000000000
3120002120020111111122011100000
4122023002322003101000000
5110041413141201413130
61044451555301200000
733150203421263445
oct3213027203210000
9502506444564300
10115108244951040
113374a150455580
1210ab08ba400000
134c2c8790807c3
14205d3a97759cc
15d49369e02260
hex68b0ba0d1000

115108244951040 has 2496 divisors, whose sum is σ = 463995736888320. Its totient is φ = 27137259601920.

The previous prime is 115108244950997. The next prime is 115108244951057. The reversal of 115108244951040 is 40159442801511.

115108244951040 is a `hidden beast` number, since 1 + 1 + 5 + 10 + 82 + 4 + 4 + 9 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 507084779407 + ... + 507084779633.

It is an arithmetic number, because the mean of its divisors is an integer number (185895727920).

Almost surely, 2115108244951040 is an apocalyptic number.

115108244951040 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 115108244951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231997868444160).

115108244951040 is an abundant number, since it is smaller than the sum of its proper divisors (348887491937280).

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

115108244951040 is a wasteful number, since it uses less digits than its factorization.

115108244951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 115108244951040 in words is "one hundred fifteen trillion, one hundred eight billion, two hundred forty-four million, nine hundred fifty-one thousand, forty".