Search a number
-
+
14598036317729 is a prime number
BaseRepresentation
bin1101010001101101111011…
…0001001110011000100001
31220200120002020202121120202
43110123132301032120201
53403133234244131404
651014124552514545
73034446643234304
oct324333661163041
956616066677522
1014598036317729
114718aa0a27677
1217792449aba55
1381b786b11887
143867979ccb3b
151a4add67e21e
hexd46dec4e621

14598036317729 has 2 divisors, whose sum is σ = 14598036317730. Its totient is φ = 14598036317728.

The previous prime is 14598036317719. The next prime is 14598036317731. The reversal of 14598036317729 is 92771363089541.

14598036317729 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., 14580598587025 + 17437730704 = 3818455^2 + 132052^2 .

It is a cyclic number.

It is not a de Polignac number, because 14598036317729 - 224 = 14598019540513 is a prime.

It is a super-2 number, since 2×145980363177292 (a number of 27 digits) contains 22 as substring.

Together with 14598036317731, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (14598036317719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7299018158864 + 7299018158865.

It is an arithmetic number, because the mean of its divisors is an integer number (7299018158865).

It is a 2-persistent number, because it is pandigital, and so is 2⋅14598036317729 = 29196072635458, but 3⋅14598036317729 = 43794108953187 is not.

Almost surely, 214598036317729 is an apocalyptic number.

It is an amenable number.

14598036317729 is a deficient number, since it is larger than the sum of its proper divisors (1).

14598036317729 is an equidigital number, since it uses as much as digits as its factorization.

14598036317729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68584320, while the sum is 65.

The spelling of 14598036317729 in words is "fourteen trillion, five hundred ninety-eight billion, thirty-six million, three hundred seventeen thousand, seven hundred twenty-nine".