Search a number
-
+
114442243641 = 32111155982259
BaseRepresentation
bin110101010010101001…
…0100000111000111001
3101221101200021100001100
41222211102200320321
53333334203244031
6124323554242013
711160662010045
oct1524522407071
9357350240040
10114442243641
1144597732550
121a21a586309
13aa3a930a3b
145779177025
152e9c0c7de6
hex1aa54a0e39

114442243641 has 12 divisors (see below), whose sum is σ = 180333232560. Its totient is φ = 69358935480.

The previous prime is 114442243567. The next prime is 114442243831. The reversal of 114442243641 is 146342244411.

114442243641 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 2 + 2 + 4 + 3 + 641 = 666.

It is not a de Polignac number, because 114442243641 - 215 = 114442210873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114442243596 and 114442243605.

It is not an unprimeable number, because it can be changed into a prime (114442243141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577991031 + ... + 577991228.

It is an arithmetic number, because the mean of its divisors is an integer number (15027769380).

Almost surely, 2114442243641 is an apocalyptic number.

114442243641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114442243641 is a deficient number, since it is larger than the sum of its proper divisors (65890988919).

114442243641 is a wasteful number, since it uses less digits than its factorization.

114442243641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155982276 (or 1155982273 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 114442243641 in words is "one hundred fourteen billion, four hundred forty-two million, two hundred forty-three thousand, six hundred forty-one".

Divisors: 1 3 9 11 33 99 1155982259 3467946777 10403840331 12715804849 38147414547 114442243641