Search a number
-
+
34131013143 = 3471033234331
BaseRepresentation
bin11111110010010111…
…011110111000010111
310021002122112010001220
4133302113132320113
51024400014410033
623402442021423
72315540552643
oct376227367027
9107078463056
1034131013143
1113525081387
1267464a7873
1332ac198486
14191ad43c23
15d4b62cbb3
hex7f25dee17

34131013143 has 16 divisors (see below), whose sum is σ = 46521463296. Its totient is φ = 22248227520.

The previous prime is 34131013141. The next prime is 34131013177.

34131013143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34131013143 - 21 = 34131013141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131013141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28488 + ... + 262818.

It is an arithmetic number, because the mean of its divisors is an integer number (2907591456).

Almost surely, 234131013143 is an apocalyptic number.

34131013143 is a deficient number, since it is larger than the sum of its proper divisors (12390450153).

34131013143 is a wasteful number, since it uses less digits than its factorization.

34131013143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235414.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 341310 and 13143, that added together give a palindrome (354453).

The spelling of 34131013143 in words is "thirty-four billion, one hundred thirty-one million, thirteen thousand, one hundred forty-three".

Divisors: 1 3 47 141 1033 3099 48551 145653 234331 702993 11013557 33040671 242063923 726191769 11377004381 34131013143