Search a number
-
+
114055664661 = 32193072172613
BaseRepresentation
bin110101000111000111…
…1110101010000010101
3101220101201212002101100
41222032033311100111
53332041222232121
6124221344420313
711145256103451
oct1521617652025
9356351762340
10114055664661
11444094a3a94
121a131017699
13a9a880b193
14573daa7661
152e781b6026
hex1a8e3f5415

114055664661 has 24 divisors (see below), whose sum is σ = 173982929120. Its totient is φ = 71800481376.

The previous prime is 114055664633. The next prime is 114055664683. The reversal of 114055664661 is 166466550411.

114055664661 is a `hidden beast` number, since 1 + 1 + 40 + 5 + 566 + 46 + 6 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-114055664661 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114055664161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1033810 + ... + 1138803.

Almost surely, 2114055664661 is an apocalyptic number.

It is an amenable number.

114055664661 is a deficient number, since it is larger than the sum of its proper divisors (59927264459).

114055664661 is a wasteful number, since it uses less digits than its factorization.

114055664661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172945 (or 2172942 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 114055664661 in words is "one hundred fourteen billion, fifty-five million, six hundred sixty-four thousand, six hundred sixty-one".

Divisors: 1 3 9 19 57 171 307 921 2763 5833 17499 52497 2172613 6517839 19553517 41279647 123838941 371516823 666992191 2000976573 6002929719 12672851629 38018554887 114055664661