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104104443141 = 3217769884813
BaseRepresentation
bin110000011110100011…
…0111011110100000101
3100221201012212122202100
41200331012323310011
53201201214140031
6115454103302313
710343543111016
oct1407506736405
9327635778670
10104104443141
1140172275a76
121821444a999
139a80c6c11a
14507820100d
152a94740de6
hex183d1bbd05

104104443141 has 24 divisors (see below), whose sum is σ = 159425786520. Its totient is φ = 65235419136.

The previous prime is 104104443137. The next prime is 104104443167. The reversal of 104104443141 is 141344401401.

104104443141 is a `hidden beast` number, since 104 + 104 + 443 + 14 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6104140641 + 98000302500 = 78129^2 + 313050^2 .

It is not a de Polignac number, because 104104443141 - 22 = 104104443137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104104443241) 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, 324750 + ... + 560063.

It is an arithmetic number, because the mean of its divisors is an integer number (6642741105).

Almost surely, 2104104443141 is an apocalyptic number.

It is an amenable number.

104104443141 is a deficient number, since it is larger than the sum of its proper divisors (55321343379).

104104443141 is a wasteful number, since it uses less digits than its factorization.

104104443141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885605 (or 885602 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 104104443141 its reverse (141344401401), we get a palindrome (245448844542).

The spelling of 104104443141 in words is "one hundred four billion, one hundred four million, four hundred forty-three thousand, one hundred forty-one".

Divisors: 1 3 9 17 51 153 769 2307 6921 13073 39219 117657 884813 2654439 7963317 15041821 45125463 135376389 680421197 2041263591 6123790773 11567160349 34701481047 104104443141