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34130210423239 = 719377987792721
BaseRepresentation
bin1111100001010100011110…
…00100011000000111000111
311110211211001001021022110101
413300222033010120013013
513433142132332020424
6200331111402304531
710121553300625450
oct760521704300707
9143754031238411
1034130210423239
11a9695a5013957
1239b27b64b8147
1316076078a5ba8
1485dca7acc127
153e2c12310344
hex1f0a8f1181c7

34130210423239 has 32 divisors (see below), whose sum is σ = 42702379980800. Its totient is φ = 26624371438080.

The previous prime is 34130210423161. The next prime is 34130210423269. The reversal of 34130210423239 is 93232401203143.

It is a cyclic number.

It is not a de Polignac number, because 34130210423239 - 211 = 34130210421191 is a prime.

It is a super-2 number, since 2×341302104232392 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 34130210423198 and 34130210423207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130210423269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43507602 + ... + 44285119.

It is an arithmetic number, because the mean of its divisors is an integer number (1334449374400).

Almost surely, 234130210423239 is an apocalyptic number.

34130210423239 is a deficient number, since it is larger than the sum of its proper divisors (8572169557561).

34130210423239 is a wasteful number, since it uses less digits than its factorization.

34130210423239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87792863.

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 34130210423239 in words is "thirty-four trillion, one hundred thirty billion, two hundred ten million, four hundred twenty-three thousand, two hundred thirty-nine".

Divisors: 1 7 19 37 79 133 259 553 703 1501 2923 4921 10507 20461 55537 388759 87792721 614549047 1668061699 3248330677 6935624959 11676431893 22738314739 48549374713 61718282863 131776874221 256618123483 432027980041 922438119547 1796326864381 4875744346177 34130210423239