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132414035729 is a prime number
BaseRepresentation
bin111101101010001111…
…1011101011100010001
3110122210011100222002112
41323110133131130101
54132140443120404
6140455152155105
712365225506253
oct1732437353421
9418704328075
10132414035729
115117a2a8988
12217b5238a95
13c643065c41
1465a1d3dcd3
15369ec5d56e
hex1ed47dd711

132414035729 has 2 divisors, whose sum is σ = 132414035730. Its totient is φ = 132414035728.

The previous prime is 132414035683. The next prime is 132414035797. The reversal of 132414035729 is 927530414231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100966333504 + 31447702225 = 317752^2 + 177335^2 .

It is a cyclic number.

It is not a de Polignac number, because 132414035729 - 216 = 132413970193 is a prime.

It is a super-2 number, since 2×1324140357292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (132414005729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66207017864 + 66207017865.

It is an arithmetic number, because the mean of its divisors is an integer number (66207017865).

Almost surely, 2132414035729 is an apocalyptic number.

It is an amenable number.

132414035729 is a deficient number, since it is larger than the sum of its proper divisors (1).

132414035729 is an equidigital number, since it uses as much as digits as its factorization.

132414035729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 132414035729 in words is "one hundred thirty-two billion, four hundred fourteen million, thirty-five thousand, seven hundred twenty-nine".