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431717714017 is a prime number
BaseRepresentation
bin1100100100001000110…
…00011000100001100001
31112021100011001012000121
412102010120120201201
524033124213322032
6530154532520241
743122240010312
oct6220430304141
91467304035017
10431717714017
111570aa438397
126b805480081
1331931842765
1416c767c4609
15b36b224a97
hex6484618861

431717714017 has 2 divisors, whose sum is σ = 431717714018. Its totient is φ = 431717714016.

The previous prime is 431717714011. The next prime is 431717714041. The reversal of 431717714017 is 710417717134.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252937579041 + 178780134976 = 502929^2 + 422824^2 .

It is a cyclic number.

It is not a de Polignac number, because 431717714017 - 215 = 431717681249 is a prime.

It is not a weakly prime, because it can be changed into another prime (431717714011) 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, 215858857008 + 215858857009.

It is an arithmetic number, because the mean of its divisors is an integer number (215858857009).

Almost surely, 2431717714017 is an apocalyptic number.

It is an amenable number.

431717714017 is a deficient number, since it is larger than the sum of its proper divisors (1).

431717714017 is an equidigital number, since it uses as much as digits as its factorization.

431717714017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115248, while the sum is 43.

The spelling of 431717714017 in words is "four hundred thirty-one billion, seven hundred seventeen million, seven hundred fourteen thousand, seventeen".