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42401240129 is a prime number
BaseRepresentation
bin100111011111010011…
…111001010001000001
311001110000102011201002
4213133103321101001
51143314204141004
631251233421345
73030512410613
oct473723712101
9131400364632
1042401240129
1116a89438316
12827410a855
133cc96b3801
1420a3470db3
15118270561e
hex9df4f9441

42401240129 has 2 divisors, whose sum is σ = 42401240130. Its totient is φ = 42401240128.

The previous prime is 42401240107. The next prime is 42401240143. The reversal of 42401240129 is 92104210424.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40914366529 + 1486873600 = 202273^2 + 38560^2 .

It is a cyclic number.

It is not a de Polignac number, because 42401240129 - 220 = 42400191553 is a prime.

It is not a weakly prime, because it can be changed into another prime (42401240429) 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 as a sum of consecutive naturals, namely, 21200620064 + 21200620065.

It is an arithmetic number, because the mean of its divisors is an integer number (21200620065).

Almost surely, 242401240129 is an apocalyptic number.

It is an amenable number.

42401240129 is a deficient number, since it is larger than the sum of its proper divisors (1).

42401240129 is an equidigital number, since it uses as much as digits as its factorization.

42401240129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 42401240129 in words is "forty-two billion, four hundred one million, two hundred forty thousand, one hundred twenty-nine".