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4144403129 is a prime number
BaseRepresentation
bin1111011100000110…
…1001001010111001
3101200211102111022012
43313001221022321
531441431400004
61523124535305
7204462562646
oct36701511271
911624374265
104144403129
111837453459
12977b51535
13510810c59
142b45c2dcd
15193c9b46e
hexf70692b9

4144403129 has 2 divisors, whose sum is σ = 4144403130. Its totient is φ = 4144403128.

The previous prime is 4144403111. The next prime is 4144403141. The reversal of 4144403129 is 9213044414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3765049600 + 379353529 = 61360^2 + 19477^2 .

It is a cyclic number.

It is not a de Polignac number, because 4144403129 - 228 = 3875967673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4144403095 and 4144403104.

It is not a weakly prime, because it can be changed into another prime (4144400129) 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, 2072201564 + 2072201565.

It is an arithmetic number, because the mean of its divisors is an integer number (2072201565).

Almost surely, 24144403129 is an apocalyptic number.

It is an amenable number.

4144403129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144403129 is an equidigital number, since it uses as much as digits as its factorization.

4144403129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 4144403129 is about 64377.0388337333. The cubic root of 4144403129 is about 1606.2778265978.

The spelling of 4144403129 in words is "four billion, one hundred forty-four million, four hundred three thousand, one hundred twenty-nine".