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104414440129 is a prime number
BaseRepresentation
bin110000100111110010…
…1011110101011000001
3100222111211012010200021
41201033211132223001
53202320044041004
6115544535453441
710354326045226
oct1411745365301
9328454163607
10104414440129
114031125832a
12182a0227281
139b0025a2ac
1450a745794d
152ab1a76d54
hex184f95eac1

104414440129 has 2 divisors, whose sum is σ = 104414440130. Its totient is φ = 104414440128.

The previous prime is 104414440111. The next prime is 104414440133. The reversal of 104414440129 is 921044414401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102544050625 + 1870389504 = 320225^2 + 43248^2 .

It is an emirp because it is prime and its reverse (921044414401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 104414440129 - 219 = 104413915841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104414440094 and 104414440103.

It is not a weakly prime, because it can be changed into another prime (104414440159) 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, 52207220064 + 52207220065.

It is an arithmetic number, because the mean of its divisors is an integer number (52207220065).

Almost surely, 2104414440129 is an apocalyptic number.

It is an amenable number.

104414440129 is a deficient number, since it is larger than the sum of its proper divisors (1).

104414440129 is an equidigital number, since it uses as much as digits as its factorization.

104414440129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 104414440129 in words is "one hundred four billion, four hundred fourteen million, four hundred forty thousand, one hundred twenty-nine".