Search a number
-
+
14331421334401 is a prime number
BaseRepresentation
bin1101000010001100101101…
…0001110001101110000001
31212202001220101122011010121
43100203023101301232001
53334301222330200101
650251433012300241
73006260660252023
oct320431321615601
955661811564117
1014331421334401
114625a157a6546
121735638011681
137cc5a7756002
143779046c2013
1519cbd6d920a1
hexd08cb471b81

14331421334401 has 2 divisors, whose sum is σ = 14331421334402. Its totient is φ = 14331421334400.

The previous prime is 14331421334393. The next prime is 14331421334441. The reversal of 14331421334401 is 10443312413341.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14197816464001 + 133604870400 = 3767999^2 + 365520^2 .

It is a cyclic number.

It is not a de Polignac number, because 14331421334401 - 23 = 14331421334393 is a prime.

It is not a weakly prime, because it can be changed into another prime (14331421334441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7165710667200 + 7165710667201.

It is an arithmetic number, because the mean of its divisors is an integer number (7165710667201).

Almost surely, 214331421334401 is an apocalyptic number.

It is an amenable number.

14331421334401 is a deficient number, since it is larger than the sum of its proper divisors (1).

14331421334401 is an equidigital number, since it uses as much as digits as its factorization.

14331421334401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 14331421334401 its reverse (10443312413341), we get a palindrome (24774733747742).

The spelling of 14331421334401 in words is "fourteen trillion, three hundred thirty-one billion, four hundred twenty-one million, three hundred thirty-four thousand, four hundred one".