Search a number
-
+
231550424445120 = 263511191935979581
BaseRepresentation
bin110100101001100000001000…
…110010111111000011000000
31010100212000010012110011122120
4310221200020302333003000
5220322210232124220440
62140244444013204240
766525652242241464
oct6451401062770300
91110760105404576
10231550424445120
1167862a90101730
1221b78034790680
139c2815a7a44b1
1441271594964a4
151bb8257e98dd0
hexd29808cbf0c0

231550424445120 has 448 divisors, whose sum is σ = 848591661980160. Its totient is φ = 52903496908800.

The previous prime is 231550424445061. The next prime is 231550424445181. The reversal of 231550424445120 is 21544424055132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35733730 + ... + 41713310.

It is an arithmetic number, because the mean of its divisors is an integer number (1894177816920).

Almost surely, 2231550424445120 is an apocalyptic number.

231550424445120 is a gapful number since it is divisible by the number (20) 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 231550424445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424295830990080).

231550424445120 is an abundant number, since it is smaller than the sum of its proper divisors (617041237535040).

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

231550424445120 is a wasteful number, since it uses less digits than its factorization.

231550424445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979824 (or 5979814 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 231550424445120 in words is "two hundred thirty-one trillion, five hundred fifty billion, four hundred twenty-four million, four hundred forty-five thousand, one hundred twenty".