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13431413441 is a prime number
BaseRepresentation
bin11001000001001001…
…10001101011000001
31021200001120111110002
430200210301223001
5210001420212231
610100441445345
7653562062525
oct144044615301
937601514402
1013431413441
115772756796
12272a1a0855
131360891724
14915b89d85
1553926d0cb
hex320931ac1

13431413441 has 2 divisors, whose sum is σ = 13431413442. Its totient is φ = 13431413440.

The previous prime is 13431413279. The next prime is 13431413459. The reversal of 13431413441 is 14431413431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7377951025 + 6053462416 = 85895^2 + 77804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13431413441 is a prime.

It is not a weakly prime, because it can be changed into another prime (13431413141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6715706720 + 6715706721.

It is an arithmetic number, because the mean of its divisors is an integer number (6715706721).

Almost surely, 213431413441 is an apocalyptic number.

It is an amenable number.

13431413441 is a deficient number, since it is larger than the sum of its proper divisors (1).

13431413441 is an equidigital number, since it uses as much as digits as its factorization.

13431413441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 29.

Adding to 13431413441 its reverse (14431413431), we get a palindrome (27862826872).

The spelling of 13431413441 in words is "thirteen billion, four hundred thirty-one million, four hundred thirteen thousand, four hundred forty-one".