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34213032431 = 294339769109
BaseRepresentation
bin11111110111010000…
…010111000111101111
310021022100212010101022
4133313100113013233
51030032014014211
623414532004355
72320554656144
oct376720270757
9107270763338
1034213032431
1113567401716
126769a606bb
1332c31849b6
141927bb43cb
15d5392ebdb
hex7f74171ef

34213032431 has 16 divisors (see below), whose sum is σ = 36307629600. Its totient is φ = 32183319168.

The previous prime is 34213032407. The next prime is 34213032433. The reversal of 34213032431 is 13423031243.

It is a cyclic number.

It is not a de Polignac number, because 34213032431 - 230 = 33139290607 is a prime.

It is a super-2 number, since 2×342130324312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34213032431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213032433) 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, 460505 + ... + 529613.

It is an arithmetic number, because the mean of its divisors is an integer number (2269226850).

Almost surely, 234213032431 is an apocalyptic number.

34213032431 is a deficient number, since it is larger than the sum of its proper divisors (2094597169).

34213032431 is a wasteful number, since it uses less digits than its factorization.

34213032431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69578.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 34213032431 its reverse (13423031243), we get a palindrome (47636063674).

The spelling of 34213032431 in words is "thirty-four billion, two hundred thirteen million, thirty-two thousand, four hundred thirty-one".

Divisors: 1 29 43 397 1247 11513 17071 69109 495059 2004161 2971687 27436273 86178923 795651917 1179759739 34213032431