Search a number
-
+
114883981800 = 23352748756167
BaseRepresentation
bin110101011111110011…
…1100111000111101000
3101222112110110221212220
41222333213213013220
53340240244404200
6124435454234040
711204634506310
oct1527747470750
9358473427786
10114883981800
11447a4015a05
121a3224b5920
13aaab2c7073
1457bbac4440
152ec5c834a0
hex1abf9e71e8

114883981800 has 192 divisors, whose sum is σ = 407860561920. Its totient is φ = 26204808960.

The previous prime is 114883981789. The next prime is 114883981819. The reversal of 114883981800 is 8189388411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2017317 + ... + 2073483.

It is an arithmetic number, because the mean of its divisors is an integer number (2124273760).

Almost surely, 2114883981800 is an apocalyptic number.

114883981800 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 114883981800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203930280960).

114883981800 is an abundant number, since it is smaller than the sum of its proper divisors (292976580120).

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

114883981800 is a wasteful number, since it uses less digits than its factorization.

114883981800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56680 (or 56671 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 51.

The spelling of 114883981800 in words is "one hundred fourteen billion, eight hundred eighty-three million, nine hundred eighty-one thousand, eight hundred".