Search a number
-
+
113433645072384 = 21434731329661
BaseRepresentation
bin11001110010101011010100…
…000111101100000000000000
3112212122011001202112012020000
4121302223110013230000000
5104331444101114304014
61041130410330120000
732615211320211000
oct3162532407540000
9485564052465200
10113433645072384
1133163a3648610a
121088024a280000
134b3a992a36140
1420023095a8000
15d1aa09490509
hex672ad41ec000

113433645072384 has 2400 divisors, whose sum is σ = 440949975312000. Its totient is φ = 28841261137920.

The previous prime is 113433645072379. The next prime is 113433645072437. The reversal of 113433645072384 is 483270546334311.

113433645072384 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 3 + 36 + 4 + 507 + 23 + 84 = 666.

113433645072384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 113433645072384.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 171609145014 + ... + 171609145674.

It is an arithmetic number, because the mean of its divisors is an integer number (183729156380).

Almost surely, 2113433645072384 is an apocalyptic number.

113433645072384 is a gapful number since it is divisible by the number (14) 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 113433645072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220474987656000).

113433645072384 is an abundant number, since it is smaller than the sum of its proper divisors (327516330239616).

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

113433645072384 is an frugal number, since it uses more digits than its factorization.

113433645072384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 113433645072384 in words is "one hundred thirteen trillion, four hundred thirty-three billion, six hundred forty-five million, seventy-two thousand, three hundred eighty-four".