Search a number
-
+
14003011431337 is a prime number
BaseRepresentation
bin1100101111000101010010…
…0001011010101110101001
31211120200012221110111221111
43023301110201122232221
53313411131411300322
645440521124310321
72643453451163545
oct313612441325651
954520187414844
1014003011431337
114509709993615
1216a1a642423a1
137a762ab0b696
14365a6c3aca25
151943b549e177
hexcbc5485aba9

14003011431337 has 2 divisors, whose sum is σ = 14003011431338. Its totient is φ = 14003011431336.

The previous prime is 14003011431251. The next prime is 14003011431341. The reversal of 14003011431337 is 73313411030041.

14003011431337 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., 11556355487296 + 2446655944041 = 3399464^2 + 1564179^2 .

It is a cyclic number.

It is not a de Polignac number, because 14003011431337 - 243 = 5206918409129 is a prime.

It is a super-3 number, since 3×140030114313373 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14003011431299 and 14003011431308.

It is not a weakly prime, because it can be changed into another prime (14003011431737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7001505715668 + 7001505715669.

It is an arithmetic number, because the mean of its divisors is an integer number (7001505715669).

Almost surely, 214003011431337 is an apocalyptic number.

It is an amenable number.

14003011431337 is a deficient number, since it is larger than the sum of its proper divisors (1).

14003011431337 is an equidigital number, since it uses as much as digits as its factorization.

14003011431337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 14003011431337 its reverse (73313411030041), we get a palindrome (87316422461378).

The spelling of 14003011431337 in words is "fourteen trillion, three billion, eleven million, four hundred thirty-one thousand, three hundred thirty-seven".