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402144420017 is a prime number
BaseRepresentation
bin1011101101000011010…
…11001110000010110001
31102110000010200012020102
411312201223032002301
523042042432420032
6504424222322145
741024341112264
oct5664153160261
91373003605212
10402144420017
1114560404a94a
1265b31429355
132bbca9ac822
141566ccd2cdb
15a6d9cd7362
hex5da1ace0b1

402144420017 has 2 divisors, whose sum is σ = 402144420018. Its totient is φ = 402144420016.

The previous prime is 402144419917. The next prime is 402144420019. The reversal of 402144420017 is 710024441204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231852843121 + 170291576896 = 481511^2 + 412664^2 .

It is a cyclic number.

It is not a de Polignac number, because 402144420017 - 210 = 402144418993 is a prime.

Together with 402144420019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (402144420019) 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, 201072210008 + 201072210009.

It is an arithmetic number, because the mean of its divisors is an integer number (201072210009).

Almost surely, 2402144420017 is an apocalyptic number.

It is an amenable number.

402144420017 is a deficient number, since it is larger than the sum of its proper divisors (1).

402144420017 is an equidigital number, since it uses as much as digits as its factorization.

402144420017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7168, while the sum is 29.

The spelling of 402144420017 in words is "four hundred two billion, one hundred forty-four million, four hundred twenty thousand, seventeen".