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14401 is a prime number
BaseRepresentation
bin11100001000001
3201202101
43201001
5430101
6150401
756662
oct34101
921671
1014401
11a902
128401
13672a
145369
154401
hex3841

14401 has 2 divisors, whose sum is σ = 14402. Its totient is φ = 14400.

The previous prime is 14389. The next prime is 14407. The reversal of 14401 is 10441.

Adding to 14401 its reverse (10441), we get a palindrome (24842).

It can be divided in two parts, 1440 and 1, that added together give a palindrome (1441).

14401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1202+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 1 = 120^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 14401 - 25 = 14369 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (14407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7200 + 7201.

It is an arithmetic number, because the mean of its divisors is an integer number (7201).

214401 is an apocalyptic number.

It is an amenable number.

14401 is a deficient number, since it is larger than the sum of its proper divisors (1).

14401 is an equidigital number, since it uses as much as digits as its factorization.

14401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 14401 is about 120.0041665943. The cubic root of 14401 is about 24.3293711361.

The spelling of 14401 in words is "fourteen thousand, four hundred one", and thus it is an iban number.