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12740314129 = 41227532
BaseRepresentation
bin10111101110110000…
…11100010000010001
31012212220011000102021
423313120130100101
5202043010023004
65504113051441
7630500611654
oct136730342021
935786130367
1012740314129
115448636634
122576856b81
13128064a71a
1488c08b89b
154e8757d54
hex2f761c411

12740314129 has 9 divisors (see below), whose sum is σ = 13063377649. Its totient is φ = 12425059840.

The previous prime is 12740314087. The next prime is 12740314177. The reversal of 12740314129 is 92141304721.

The square root of 12740314129 is 112873.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27300625 + 12713013504 = 5225^2 + 112752^2 .

It is not a de Polignac number, because 12740314129 - 219 = 12739789841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12740314094 and 12740314103.

It is not an unprimeable number, because it can be changed into a prime (12740314729) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4626417 + ... + 4629169.

Almost surely, 212740314129 is an apocalyptic number.

12740314129 is the 112873-rd square number.

12740314129 is the 56437-th centered octagonal number.

It is an amenable number.

12740314129 is a deficient number, since it is larger than the sum of its proper divisors (323063520).

12740314129 is an frugal number, since it uses more digits than its factorization.

12740314129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 12740314129 in words is "twelve billion, seven hundred forty million, three hundred fourteen thousand, one hundred twenty-nine".

Divisors: 1 41 1681 2753 112873 4627793 7579009 310739369 12740314129