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34131542420 = 22510611608461
BaseRepresentation
bin11111110010011001…
…100000000110010100
310021002200112000002202
4133302121200012110
51024400133324140
623402501224032
72315545216013
oct376231400624
9107080460082
1034131542420
1113525402aa8
126746702018
1332ac322361
14191b040a7a
15d4b6d4915
hex7f2660194

34131542420 has 24 divisors (see below), whose sum is σ = 71743839048. Its totient is φ = 13639740800.

The previous prime is 34131542399. The next prime is 34131542429. The reversal of 34131542420 is 2424513143.

It can be written as a sum of positive squares in 4 ways, for example, as 8294837776 + 25836704644 = 91076^2 + 160738^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131542429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 783011 + ... + 825450.

It is an arithmetic number, because the mean of its divisors is an integer number (2989326627).

Almost surely, 234131542420 is an apocalyptic number.

It is an amenable number.

34131542420 is an abundant number, since it is smaller than the sum of its proper divisors (37612296628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34131542420 is a wasteful number, since it uses less digits than its factorization.

34131542420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609531 (or 1609529 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 34131542420 in words is "thirty-four billion, one hundred thirty-one million, five hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1061 2122 4244 5305 10610 21220 1608461 3216922 6433844 8042305 16084610 32169220 1706577121 3413154242 6826308484 8532885605 17065771210 34131542420