Search a number
-
+
114331153552241 is a prime number
BaseRepresentation
bin11001111111101111001011…
…110010110101001101110001
3112222210221200200001221100112
4121333233023302311031301
5104441200200302132431
61043055001251431105
733040103365341263
oct3177571362651561
9488727620057315
10114331153552241
113347a62a633a4a
12109a6187bb5495
134ba44c6271772
14203392bb09b33
15d34037db8c2b
hex67fbcbcb5371

114331153552241 has 2 divisors, whose sum is σ = 114331153552242. Its totient is φ = 114331153552240.

The previous prime is 114331153552223. The next prime is 114331153552303. The reversal of 114331153552241 is 142255351133411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76703614963600 + 37627538588641 = 8758060^2 + 6134129^2 .

It is a cyclic number.

It is not a de Polignac number, because 114331153552241 - 222 = 114331149357937 is a prime.

It is a super-2 number, since 2×1143311535522412 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114331153552741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57165576776120 + 57165576776121.

It is an arithmetic number, because the mean of its divisors is an integer number (57165576776121).

Almost surely, 2114331153552241 is an apocalyptic number.

It is an amenable number.

114331153552241 is a deficient number, since it is larger than the sum of its proper divisors (1).

114331153552241 is an equidigital number, since it uses as much as digits as its factorization.

114331153552241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216000, while the sum is 41.

The spelling of 114331153552241 in words is "one hundred fourteen trillion, three hundred thirty-one billion, one hundred fifty-three million, five hundred fifty-two thousand, two hundred forty-one".