Search a number
-
+
113440934880 = 2532572131923283
BaseRepresentation
bin110100110100110011…
…0110100101111100000
3101211210220010120122200
41221221212310233200
53324311334404010
6124040344533200
711124113015400
oct1515146645740
9354726116580
10113440934880
11441234a5449
1219b9b181200
13a90b355c50
1456c21a8800
152e3e238cc0
hex1a699b4be0

113440934880 has 1728 divisors, whose sum is σ = 534561431040. Its totient is φ = 21612552192.

The previous prime is 113440934837. The next prime is 113440934909. The reversal of 113440934880 is 88439044311.

113440934880 is a `hidden beast` number, since 1 + 1 + 3 + 440 + 93 + 48 + 80 = 666.

113440934880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1134409348802 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 400851219 + ... + 400851501.

It is an arithmetic number, because the mean of its divisors is an integer number (309352680).

Almost surely, 2113440934880 is an apocalyptic number.

113440934880 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 113440934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267280715520).

113440934880 is an abundant number, since it is smaller than the sum of its proper divisors (421120496160).

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

113440934880 is a wasteful number, since it uses less digits than its factorization.

113440934880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 113440934880 in words is "one hundred thirteen billion, four hundred forty million, nine hundred thirty-four thousand, eight hundred eighty".