Search a number
-
+
114623644590 = 23357137959053
BaseRepresentation
bin110101011000000011…
…0100000001110101110
3101221212022121110101000
41222300012200032232
53334222123111330
6124353554301130
711165323621560
oct1526006401656
9357768543330
10114623644590
1144680071794
121a26b2877a6
13aa693a5490
1457952b7330
152eaceab560
hex1ab01a03ae

114623644590 has 256 divisors, whose sum is σ = 380969164800. Its totient is φ = 23877794304.

The previous prime is 114623644573. The next prime is 114623644633. The reversal of 114623644590 is 95446326411.

114623644590 is a `hidden beast` number, since 1 + 1 + 462 + 3 + 64 + 45 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1911504 + ... + 1970556.

It is an arithmetic number, because the mean of its divisors is an integer number (1488160800).

Almost surely, 2114623644590 is an apocalyptic number.

114623644590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114623644590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190484582400).

114623644590 is an abundant number, since it is smaller than the sum of its proper divisors (266345520210).

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

114623644590 is a wasteful number, since it uses less digits than its factorization.

114623644590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59168 (or 59162 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 114623644590 in words is "one hundred fourteen billion, six hundred twenty-three million, six hundred forty-four thousand, five hundred ninety".