Search a number
-
+
401365409 is a prime number
BaseRepresentation
bin10111111011000…
…101100110100001
31000222020110211112
4113323011212201
51310222143114
6103454353105
712642356354
oct2773054641
91028213745
10401365409
11196618855
12b24bb795
13651cbc33
143b43c29b
152538313e
hex17ec59a1

401365409 has 2 divisors, whose sum is σ = 401365410. Its totient is φ = 401365408.

The previous prime is 401365403. The next prime is 401365411. The reversal of 401365409 is 904563104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385140625 + 16224784 = 19625^2 + 4028^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401365409 is a prime.

It is a super-2 number, since 2×4013654092 = 322188383083474562, which contains 22 as substring.

Together with 401365411, 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 (401365403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200682704 + 200682705.

It is an arithmetic number, because the mean of its divisors is an integer number (200682705).

Almost surely, 2401365409 is an apocalyptic number.

It is an amenable number.

401365409 is a deficient number, since it is larger than the sum of its proper divisors (1).

401365409 is an equidigital number, since it uses as much as digits as its factorization.

401365409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 401365409 is about 20034.1061442731. The cubic root of 401365409 is about 737.6437158974.

The spelling of 401365409 in words is "four hundred one million, three hundred sixty-five thousand, four hundred nine".