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14413010401 is a prime number
BaseRepresentation
bin11010110110001010…
…10001010111100001
31101012110121210100001
431123011101113201
5214004212313101
610342104500001
71020111365326
oct153305212741
941173553301
1014413010401
116126850049
122962a7a601
13148905732a
149aa2a6b4d
15595516901
hex35b1515e1

14413010401 has 2 divisors, whose sum is σ = 14413010402. Its totient is φ = 14413010400.

The previous prime is 14413010387. The next prime is 14413010473. The reversal of 14413010401 is 10401031441.

14413010401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9924144400 + 4488866001 = 99620^2 + 66999^2 .

It is a cyclic number.

It is not a de Polignac number, because 14413010401 - 27 = 14413010273 is a prime.

It is a super-3 number, since 3×144130104013 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (14413014401) 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, 7206505200 + 7206505201.

It is an arithmetic number, because the mean of its divisors is an integer number (7206505201).

Almost surely, 214413010401 is an apocalyptic number.

It is an amenable number.

14413010401 is a deficient number, since it is larger than the sum of its proper divisors (1).

14413010401 is an equidigital number, since it uses as much as digits as its factorization.

14413010401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 14413010401 its reverse (10401031441), we get a palindrome (24814041842).

The spelling of 14413010401 in words is "fourteen billion, four hundred thirteen million, ten thousand, four hundred one".