Search a number
-
+
114992498880 = 26355717343
BaseRepresentation
bin110101100011000010…
…1100100100011000000
3101222211000200012100000
41223012011210203000
53341001034431010
6124454332200000
711210423053530
oct1530605444300
9358730605300
10114992498880
114484a2a4446
121a352909000
13aac793045c
1457cc2914c0
152ed056b7c0
hex1ac61648c0

114992498880 has 1344 divisors, whose sum is σ = 509647057920. Its totient is φ = 24162582528.

The previous prime is 114992498879. The next prime is 114992498891. The reversal of 114992498880 is 88894299411.

114992498880 is a `hidden beast` number, since 11 + 49 + 92 + 498 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2674244139 + ... + 2674244181.

It is an arithmetic number, because the mean of its divisors is an integer number (379201680).

Almost surely, 2114992498880 is an apocalyptic number.

114992498880 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 114992498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254823528960).

114992498880 is an abundant number, since it is smaller than the sum of its proper divisors (394654559040).

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

114992498880 is an frugal number, since it uses more digits than its factorization.

114992498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 114992498880 in words is "one hundred fourteen billion, nine hundred ninety-two million, four hundred ninety-eight thousand, eight hundred eighty".