Search a number
-
+
114114157088977 is a prime number
BaseRepresentation
bin11001111100100101000101…
…110011000001000011010001
3112222001012120210221110102201
4121330211011303001003101
5104424121243203321402
61042411153044243201
733015322123003243
oct3174450563010321
9488035523843381
10114114157088977
11333a65a67aa3a1
12109701083a0501
134b89bc38c9c46
1420272245ca093
15d2d58771a687
hex67c945cc10d1

114114157088977 has 2 divisors, whose sum is σ = 114114157088978. Its totient is φ = 114114157088976.

The previous prime is 114114157088963. The next prime is 114114157088983. The reversal of 114114157088977 is 779880751411411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83352535917121 + 30761621171856 = 9129761^2 + 5546316^2 .

It is a cyclic number.

It is not a de Polignac number, because 114114157088977 - 27 = 114114157088849 is a prime.

It is not a weakly prime, because it can be changed into another prime (114114157088927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57057078544488 + 57057078544489.

It is an arithmetic number, because the mean of its divisors is an integer number (57057078544489).

Almost surely, 2114114157088977 is an apocalyptic number.

It is an amenable number.

114114157088977 is a deficient number, since it is larger than the sum of its proper divisors (1).

114114157088977 is an equidigital number, since it uses as much as digits as its factorization.

114114157088977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15805440, while the sum is 64.

The spelling of 114114157088977 in words is "one hundred fourteen trillion, one hundred fourteen billion, one hundred fifty-seven million, eighty-eight thousand, nine hundred seventy-seven".