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401343330257 is a prime number
BaseRepresentation
bin1011101011100011110…
…11010011011111010001
31102100221022021121200022
411311301323103133101
523033422343032012
6504212524233225
740665443006522
oct5656173233721
91370838247608
10401343330257
111452329352a1
126594909b815
132bb00a3790c
14155d4762849
15a68e7e7472
hex5d71ed37d1

401343330257 has 2 divisors, whose sum is σ = 401343330258. Its totient is φ = 401343330256.

The previous prime is 401343330203. The next prime is 401343330259. The reversal of 401343330257 is 752033343104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250041001681 + 151302328576 = 500041^2 + 388976^2 .

It is a cyclic number.

It is not a de Polignac number, because 401343330257 - 212 = 401343326161 is a prime.

It is a super-2 number, since 2×4013433302572 (a number of 24 digits) contains 22 as substring.

Together with 401343330259, 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 (401343330259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200671665128 + 200671665129.

It is an arithmetic number, because the mean of its divisors is an integer number (200671665129).

Almost surely, 2401343330257 is an apocalyptic number.

It is an amenable number.

401343330257 is a deficient number, since it is larger than the sum of its proper divisors (1).

401343330257 is an equidigital number, since it uses as much as digits as its factorization.

401343330257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 35.

The spelling of 401343330257 in words is "four hundred one billion, three hundred forty-three million, three hundred thirty thousand, two hundred fifty-seven".