Search a number
-
+
114110942784 = 2632959973581
BaseRepresentation
bin110101001000110001…
…0101100111001000000
3101220112120212111201020
41222101202230321000
53332144400132114
6124231041305440
711146530003246
oct1522142547100
9356476774636
10114110942784
114443771a293
121a147635280
13a9b70c3b27
145747176796
152e7ce84aa9
hex1a918ace40

114110942784 has 224 divisors, whose sum is σ = 320987318400. Its totient is φ = 35720724480.

The previous prime is 114110942741. The next prime is 114110942791. The reversal of 114110942784 is 487249011411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31863874 + ... + 31867454.

It is an arithmetic number, because the mean of its divisors is an integer number (1432979100).

Almost surely, 2114110942784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114110942784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160493659200).

114110942784 is an abundant number, since it is smaller than the sum of its proper divisors (206876375616).

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

114110942784 is a wasteful number, since it uses less digits than its factorization.

114110942784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 114110942784 in words is "one hundred fourteen billion, one hundred ten million, nine hundred forty-two thousand, seven hundred eighty-four".