Search a number
-
+
3117344424021 = 3217191072357903
BaseRepresentation
bin101101010111010000001…
…101010000000001010101
3102001000102002111122112200
4231113100031100001111
5402033310133032041
610344031021435113
7441135462255342
oct55272015200125
912030362448480
103117344424021
11aa2070727303
124241b440ba99
13197c6c7b5c29
14aac476917c9
15561514dc1b6
hex2d5d0350055

3117344424021 has 24 divisors (see below), whose sum is σ = 5018634990720. Its totient is φ = 1853034454656.

The previous prime is 3117344423969. The next prime is 3117344424031. The reversal of 3117344424021 is 1204244437113.

3117344424021 is a `hidden beast` number, since 3 + 1 + 173 + 4 + 442 + 40 + 2 + 1 = 666.

It is not a de Polignac number, because 3117344424021 - 214 = 3117344407637 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117344424031) 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 23 ways as a sum of consecutive naturals, for example, 536176045 + ... + 536181858.

It is an arithmetic number, because the mean of its divisors is an integer number (209109791280).

Almost surely, 23117344424021 is an apocalyptic number.

It is an amenable number.

3117344424021 is a deficient number, since it is larger than the sum of its proper divisors (1901290566699).

3117344424021 is a wasteful number, since it uses less digits than its factorization.

3117344424021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072357945 (or 1072357942 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 3117344424021 in words is "three trillion, one hundred seventeen billion, three hundred forty-four million, four hundred twenty-four thousand, twenty-one".

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 1072357903 3217073709 9651221127 18230084351 20374800157 54690253053 61124400471 164070759159 183373201413 346371602669 1039114808007 3117344424021