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404441113 is a prime number
BaseRepresentation
bin11000000110110…
…100100000011001
31001012000201220111
4120012310200121
51312014103423
6104044324321
713010456416
oct3006644031
91035021814
10404441113
1119832965a
12b35436a1
1365a37b8b
143b9dd10d
152578e60d
hex181b4819

404441113 has 2 divisors, whose sum is σ = 404441114. Its totient is φ = 404441112.

The previous prime is 404441111. The next prime is 404441171. The reversal of 404441113 is 311144404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288728064 + 115713049 = 16992^2 + 10757^2 .

It is a cyclic number.

It is not a de Polignac number, because 404441113 - 21 = 404441111 is a prime.

It is a super-2 number, since 2×4044411132 = 327145227769357538, which contains 22 as substring.

Together with 404441111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (404441111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202220556 + 202220557.

It is an arithmetic number, because the mean of its divisors is an integer number (202220557).

Almost surely, 2404441113 is an apocalyptic number.

It is an amenable number.

404441113 is a deficient number, since it is larger than the sum of its proper divisors (1).

404441113 is an equidigital number, since it uses as much as digits as its factorization.

404441113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 404441113 is about 20110.7213445963. The cubic root of 404441113 is about 739.5231362811.

Adding to 404441113 its reverse (311144404), we get a palindrome (715585517).

The spelling of 404441113 in words is "four hundred four million, four hundred forty-one thousand, one hundred thirteen".