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401268589409 is a prime number
BaseRepresentation
bin1011101011011010111…
…10001100001101100001
31102100202002122101111202
411311231132030031201
523033244224330114
6504201254250545
740663544506262
oct5655536141541
91370662571452
10401268589409
111451a47263a6
1265928056a55
132babb3c926c
14155c8868969
15a687e81cde
hex5d6d78c361

401268589409 has 2 divisors, whose sum is σ = 401268589410. Its totient is φ = 401268589408.

The previous prime is 401268589331. The next prime is 401268589411. The reversal of 401268589409 is 904985862104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 332819379025 + 68449210384 = 576905^2 + 261628^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401268589409 is a prime.

It is a super-2 number, since 2×4012685894092 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 401268589411, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (401268589439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200634294704 + 200634294705.

It is an arithmetic number, because the mean of its divisors is an integer number (200634294705).

Almost surely, 2401268589409 is an apocalyptic number.

It is an amenable number.

401268589409 is a deficient number, since it is larger than the sum of its proper divisors (1).

401268589409 is an equidigital number, since it uses as much as digits as its factorization.

401268589409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4976640, while the sum is 56.

The spelling of 401268589409 in words is "four hundred one billion, two hundred sixty-eight million, five hundred eighty-nine thousand, four hundred nine".