Search a number
-
+
115443161280 = 26335373311091
BaseRepresentation
bin110101110000011110…
…0101101100011000000
3102000222102200012221000
41223200330231203000
53342411422130110
6125011151332000
711224534452216
oct1534074554300
9360872605830
10115443161280
1144a60722807
121a459821000
13ab6a0cc7b5
145832082cb6
153009ddb1c0
hex1ae0f2d8c0

115443161280 has 448 divisors, whose sum is σ = 419912962560. Its totient is φ = 29834956800.

The previous prime is 115443161261. The next prime is 115443161293. The reversal of 115443161280 is 82161344511.

115443161280 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 4 + 31 + 612 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105813535 + ... + 105814625.

It is an arithmetic number, because the mean of its divisors is an integer number (937305720).

Almost surely, 2115443161280 is an apocalyptic number.

115443161280 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 115443161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209956481280).

115443161280 is an abundant number, since it is smaller than the sum of its proper divisors (304469801280).

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

115443161280 is a wasteful number, since it uses less digits than its factorization.

115443161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 115443161280 in words is "one hundred fifteen billion, four hundred forty-three million, one hundred sixty-one thousand, two hundred eighty".