Search a number
-
+
114341344321241 is a prime number
BaseRepresentation
bin11001111111111000101011…
…001101100001111011011001
3112222211220222212210122100102
4121333320223031201323121
5104441332033121234431
61043103404411145145
733040614050423132
oct3177705315417331
9488756885718312
10114341344321241
1133483989aa6594
12109a8150a451b5
134ba545b6336ab
14203421732ac89
15d344328aadcb
hex67fe2b361ed9

114341344321241 has 2 divisors, whose sum is σ = 114341344321242. Its totient is φ = 114341344321240.

The previous prime is 114341344321231. The next prime is 114341344321247. The reversal of 114341344321241 is 142123443143411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80261960881216 + 34079383440025 = 8958904^2 + 5837755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114341344321241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114341344321195 and 114341344321204.

It is not a weakly prime, because it can be changed into another prime (114341344321247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57170672160620 + 57170672160621.

It is an arithmetic number, because the mean of its divisors is an integer number (57170672160621).

Almost surely, 2114341344321241 is an apocalyptic number.

It is an amenable number.

114341344321241 is a deficient number, since it is larger than the sum of its proper divisors (1).

114341344321241 is an equidigital number, since it uses as much as digits as its factorization.

114341344321241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110592, while the sum is 38.

Adding to 114341344321241 its reverse (142123443143411), we get a palindrome (256464787464652).

The spelling of 114341344321241 in words is "one hundred fourteen trillion, three hundred forty-one billion, three hundred forty-four million, three hundred twenty-one thousand, two hundred forty-one".