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34125335431 = 113722266109
BaseRepresentation
bin11111110010000001…
…110100101110000111
310021002020211122201021
4133302001310232013
51024342041213211
623402120212011
72315441364565
oct376201645607
9107066748637
1034125335431
1113521953660
12674460a007
1332aac5b095
14191a2a6a35
15d4adaa771
hex7f2074b87

34125335431 has 12 divisors (see below), whose sum is σ = 38261001240. Its totient is φ = 30184558560.

The previous prime is 34125335423. The next prime is 34125335467. The reversal of 34125335431 is 13453352143.

It is not a de Polignac number, because 34125335431 - 23 = 34125335423 is a prime.

It is a super-2 number, since 2×341253354312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34125335471) 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 11 ways as a sum of consecutive naturals, for example, 1117996 + ... + 1148113.

It is an arithmetic number, because the mean of its divisors is an integer number (3188416770).

Almost surely, 234125335431 is an apocalyptic number.

34125335431 is a deficient number, since it is larger than the sum of its proper divisors (4135665809).

34125335431 is a wasteful number, since it uses less digits than its factorization.

34125335431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266194 (or 2266157 counting only the distinct ones).

The product of its digits is 64800, while the sum is 34.

Adding to 34125335431 its reverse (13453352143), we get a palindrome (47578687574).

The spelling of 34125335431 in words is "thirty-four billion, one hundred twenty-five million, three hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 11 37 407 1369 15059 2266109 24927199 83846033 922306363 3102303221 34125335431