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14114224001 is a prime number
BaseRepresentation
bin11010010010100010…
…11111011110000001
31100102122101212110002
431021101133132001
5212401220132001
610252312445345
71006522632053
oct151121373601
940378355402
1014114224001
115a93125439
12289a9a9855
13143c192a47
1497c72b8d3
1557919746b
hex34945f781

14114224001 has 2 divisors, whose sum is σ = 14114224002. Its totient is φ = 14114224000.

The previous prime is 14114223941. The next prime is 14114224031. The reversal of 14114224001 is 10042241141.

14114224001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13706789776 + 407434225 = 117076^2 + 20185^2 .

It is a cyclic number.

It is not a de Polignac number, because 14114224001 - 214 = 14114207617 is a prime.

It is a super-2 number, since 2×141142240012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (14114224031) 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, 7057112000 + 7057112001.

It is an arithmetic number, because the mean of its divisors is an integer number (7057112001).

Almost surely, 214114224001 is an apocalyptic number.

It is an amenable number.

14114224001 is a deficient number, since it is larger than the sum of its proper divisors (1).

14114224001 is an equidigital number, since it uses as much as digits as its factorization.

14114224001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14114224001 its reverse (10042241141), we get a palindrome (24156465142).

The spelling of 14114224001 in words is "fourteen billion, one hundred fourteen million, two hundred twenty-four thousand, one".