Search a number
-
+
115828482240 = 26325372634133
BaseRepresentation
bin110101111011111101…
…0100110000011000000
3102001222021201112220200
41223313322212003000
53344204042412430
6125113314205200
711240223566022
oct1536772460300
9361867645820
10115828482240
1145139182089
121a546883800
13abcbba1873
14586b306012
15302db50460
hex1af7ea60c0

115828482240 has 336 divisors, whose sum is σ = 410824484928. Its totient is φ = 29931282432.

The previous prime is 115828482229. The next prime is 115828482281. The reversal of 115828482240 is 42284828511.

It is a happy number.

115828482240 is a `hidden beast` number, since 1 + 1 + 58 + 284 + 82 + 240 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28023214 + ... + 28027346.

Almost surely, 2115828482240 is an apocalyptic number.

115828482240 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 115828482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205412242464).

115828482240 is an abundant number, since it is smaller than the sum of its proper divisors (294996002688).

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

115828482240 is a wasteful number, since it uses less digits than its factorization.

115828482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 115828482240 in words is "one hundred fifteen billion, eight hundred twenty-eight million, four hundred eighty-two thousand, two hundred forty".