Search a number
-
+
114081760800 = 25345272193161
BaseRepresentation
bin110101000111111001…
…1011000011000100000
3101220110112221220120000
41222033303120120200
53332114412321200
6124224120020000
711146023652500
oct1521763303040
9356415856500
10114081760800
11444221a8447
121a139901600
13a9b1047297
14574333ba00
152e7a61d300
hex1a8fcd8620

114081760800 has 2160 divisors, whose sum is σ = 534483290880. Its totient is φ = 23514624000.

The previous prime is 114081760733. The next prime is 114081760801. The reversal of 114081760800 is 8067180411.

114081760800 is a `hidden beast` number, since 1 + 1 + 40 + 8 + 1 + 7 + 608 + 0 + 0 = 666.

114081760800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is not an unprimeable number, because it can be changed into a prime (114081760801) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 1870192770 + ... + 1870192830.

It is an arithmetic number, because the mean of its divisors is an integer number (247445968).

Almost surely, 2114081760800 is an apocalyptic number.

114081760800 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 114081760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267241645440).

114081760800 is an abundant number, since it is smaller than the sum of its proper divisors (420401530080).

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

114081760800 is a wasteful number, since it uses less digits than its factorization.

114081760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 114081760800 in words is "one hundred fourteen billion, eighty-one million, seven hundred sixty thousand, eight hundred".