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405221331434149 is a prime number
BaseRepresentation
bin101110000100010111111000…
…1100000111111101010100101
31222010202210002022112001121001
41130020233301200333222211
5411103121241321343044
63553500035412153301
7151232163230556556
oct13410576140775245
91863683068461531
10405221331434149
1110813044655057a
1239546738008831
13145152910cb769
14720cb6213c32d
1531cab0b88e2d4
hex1708bf183faa5

405221331434149 has 2 divisors, whose sum is σ = 405221331434150. Its totient is φ = 405221331434148.

The previous prime is 405221331434107. The next prime is 405221331434173. The reversal of 405221331434149 is 941434133122504.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391537953633124 + 13683377801025 = 19787318^2 + 3699105^2 .

It is a cyclic number.

It is not a de Polignac number, because 405221331434149 - 219 = 405221330909861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405221331434099 and 405221331434108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405221331434449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202610665717074 + 202610665717075.

It is an arithmetic number, because the mean of its divisors is an integer number (202610665717075).

Almost surely, 2405221331434149 is an apocalyptic number.

It is an amenable number.

405221331434149 is a deficient number, since it is larger than the sum of its proper divisors (1).

405221331434149 is an equidigital number, since it uses as much as digits as its factorization.

405221331434149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 405221331434149 in words is "four hundred five trillion, two hundred twenty-one billion, three hundred thirty-one million, four hundred thirty-four thousand, one hundred forty-nine".