Search a number
-
+
114332041355513 is a prime number
BaseRepresentation
bin11001111111110000000000…
…101101100010000011111001
3112222211000222112122000111012
4121333300000231202003321
5104441204010041334023
61043055225324243305
733040134365501102
oct3177600055420371
9488730875560435
10114332041355513
113347aa45795763
12109a63953a0535
134ba4608187747
1420339b39ad3a9
15d3408acd6978
hex67fc00b620f9

114332041355513 has 2 divisors, whose sum is σ = 114332041355514. Its totient is φ = 114332041355512.

The previous prime is 114332041355507. The next prime is 114332041355557. The reversal of 114332041355513 is 315553140233411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108581651743504 + 5750389612009 = 10420252^2 + 2397997^2 .

It is a cyclic number.

It is not a de Polignac number, because 114332041355513 - 26 = 114332041355449 is a prime.

It is a super-3 number, since 3×1143320413555133 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (114332041345513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57166020677756 + 57166020677757.

It is an arithmetic number, because the mean of its divisors is an integer number (57166020677757).

Almost surely, 2114332041355513 is an apocalyptic number.

It is an amenable number.

114332041355513 is a deficient number, since it is larger than the sum of its proper divisors (1).

114332041355513 is an equidigital number, since it uses as much as digits as its factorization.

114332041355513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324000, while the sum is 41.

Adding to 114332041355513 its reverse (315553140233411), we get a palindrome (429885181588924).

The spelling of 114332041355513 in words is "one hundred fourteen trillion, three hundred thirty-two billion, forty-one million, three hundred fifty-five thousand, five hundred thirteen".