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401444401 is a prime number
BaseRepresentation
bin10111111011011…
…000111000110001
31000222101111012011
4113323120320301
51310232210101
6103500202521
712643135561
oct2773307061
91028344164
10401444401
11196672136
12b2539441
1365228b87
143b45cda1
152539b751
hex17ed8e31

401444401 has 2 divisors, whose sum is σ = 401444402. Its totient is φ = 401444400.

The previous prime is 401444383. The next prime is 401444411. The reversal of 401444401 is 104444104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 316804401 + 84640000 = 17799^2 + 9200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401444401 is a prime.

It is a super-2 number, since 2×4014444012 = 322315214188497602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401444411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200722200 + 200722201.

It is an arithmetic number, because the mean of its divisors is an integer number (200722201).

Almost surely, 2401444401 is an apocalyptic number.

It is an amenable number.

401444401 is a deficient number, since it is larger than the sum of its proper divisors (1).

401444401 is an equidigital number, since it uses as much as digits as its factorization.

401444401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 401444401 is about 20036.0774853762. The cubic root of 401444401 is about 737.6921041649.

Adding to 401444401 its reverse (104444104), we get a palindrome (505888505).

It can be divided in two parts, 40 and 1444401, that added together give a palindrome (1444441).

The spelling of 401444401 in words is "four hundred one million, four hundred forty-four thousand, four hundred one".