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14041122114337 is a prime number
BaseRepresentation
bin1100110001010011010000…
…0110001000101100100001
31211201022120221102210202021
43030110310012020230201
53320022204230124322
645510222532421441
72646303044510533
oct314246406105441
954638527383667
1014041122114337
11452389642284a
1216a931b477881
137ab0c262aa96
14367845a93853
151953961884c7
hexcc534188b21

14041122114337 has 2 divisors, whose sum is σ = 14041122114338. Its totient is φ = 14041122114336.

The previous prime is 14041122114289. The next prime is 14041122114379. The reversal of 14041122114337 is 73341122114041.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9024592777216 + 5016529337121 = 3004096^2 + 2239761^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14041122114337 is a prime.

It is a super-2 number, since 2×140411221143372 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (14041122111337) 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, 7020561057168 + 7020561057169.

It is an arithmetic number, because the mean of its divisors is an integer number (7020561057169).

Almost surely, 214041122114337 is an apocalyptic number.

It is an amenable number.

14041122114337 is a deficient number, since it is larger than the sum of its proper divisors (1).

14041122114337 is an equidigital number, since it uses as much as digits as its factorization.

14041122114337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 14041122114337 its reverse (73341122114041), we get a palindrome (87382244228378).

The spelling of 14041122114337 in words is "fourteen trillion, forty-one billion, one hundred twenty-two million, one hundred fourteen thousand, three hundred thirty-seven".