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4404545312129 is a prime number
BaseRepresentation
bin100000000011000001101…
…0110111101010110000001
3120121001220100001211222122
41000012003112331112001
51034131002044442004
613211230432014025
7633134511266024
oct100060326752601
916531810054878
104404545312129
111448a59003276
125b1769391315
1325c468016c81
141132770451bb
157988b942cbe
hex401835bd581

4404545312129 has 2 divisors, whose sum is σ = 4404545312130. Its totient is φ = 4404545312128.

The previous prime is 4404545312113. The next prime is 4404545312161. The reversal of 4404545312129 is 9212135454044.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4315653082225 + 88892229904 = 2077415^2 + 298148^2 .

It is a cyclic number.

It is not a de Polignac number, because 4404545312129 - 24 = 4404545312113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4404545312129.

It is not a weakly prime, because it can be changed into another prime (4404545312329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2202272656064 + 2202272656065.

It is an arithmetic number, because the mean of its divisors is an integer number (2202272656065).

Almost surely, 24404545312129 is an apocalyptic number.

It is an amenable number.

4404545312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4404545312129 is an equidigital number, since it uses as much as digits as its factorization.

4404545312129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 4404545312129 in words is "four trillion, four hundred four billion, five hundred forty-five million, three hundred twelve thousand, one hundred twenty-nine".