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408445407313 is a prime number
BaseRepresentation
bin1011111000110010011…
…11100101000001010001
31110001021021002111212021
411330121033211001101
523142444011013223
6511345350331441
741336441451526
oct5743117450121
91401237074767
10408445407313
11148247869969
12671ab659b81
132c693230888
1415aa9a9114d
15a95807665d
hex5f193e5051

408445407313 has 2 divisors, whose sum is σ = 408445407314. Its totient is φ = 408445407312.

The previous prime is 408445407283. The next prime is 408445407317. The reversal of 408445407313 is 313704544804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405828880209 + 2616527104 = 637047^2 + 51152^2 .

It is a cyclic number.

It is not a de Polignac number, because 408445407313 - 213 = 408445399121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 408445407313.

It is not a weakly prime, because it can be changed into another prime (408445407317) 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, 204222703656 + 204222703657.

It is an arithmetic number, because the mean of its divisors is an integer number (204222703657).

Almost surely, 2408445407313 is an apocalyptic number.

It is an amenable number.

408445407313 is a deficient number, since it is larger than the sum of its proper divisors (1).

408445407313 is an equidigital number, since it uses as much as digits as its factorization.

408445407313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 408445407313 in words is "four hundred eight billion, four hundred forty-five million, four hundred seven thousand, three hundred thirteen".