Search a number
-
+
114010505185657 is a prime number
BaseRepresentation
bin11001111011000100100011…
…101010011000100101111001
3112221200022001010121012121111
4121323010203222120211321
5104420422003311420112
61042251411504240321
733004662413240263
oct3173044352304571
9487608033535544
10114010505185657
1133366646a25283
1210953bbb6100a1
134b801b5636882
1420221d0548b33
15d2aa1caba5a7
hex67b123a98979

114010505185657 has 2 divisors, whose sum is σ = 114010505185658. Its totient is φ = 114010505185656.

The previous prime is 114010505185649. The next prime is 114010505185673. The reversal of 114010505185657 is 756581505010411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91759463341456 + 22251041844201 = 9579116^2 + 4717101^2 .

It is a cyclic number.

It is not a de Polignac number, because 114010505185657 - 23 = 114010505185649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114010505185657.

It is not a weakly prime, because it can be changed into another prime (114010505189657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57005252592828 + 57005252592829.

It is an arithmetic number, because the mean of its divisors is an integer number (57005252592829).

Almost surely, 2114010505185657 is an apocalyptic number.

It is an amenable number.

114010505185657 is a deficient number, since it is larger than the sum of its proper divisors (1).

114010505185657 is an equidigital number, since it uses as much as digits as its factorization.

114010505185657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840000, while the sum is 49.

The spelling of 114010505185657 in words is "one hundred fourteen trillion, ten billion, five hundred five million, one hundred eighty-five thousand, six hundred fifty-seven".