Search a number
-
+
241146798329 is a prime number
BaseRepresentation
bin1110000010010101111…
…0000010000011111001
3212001102221020121120002
43200211132002003321
512422332040021304
6302440432442345
723264561652113
oct3404536020371
9761387217502
10241146798329
11932a7098858
123a89b6a93b5
1319980b59418
14b958ad03b3
15641598831e
hex38257820f9

241146798329 has 2 divisors, whose sum is σ = 241146798330. Its totient is φ = 241146798328.

The previous prime is 241146798283. The next prime is 241146798337. The reversal of 241146798329 is 923897641142.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239538788329 + 1608010000 = 489427^2 + 40100^2 .

It is a cyclic number.

It is not a de Polignac number, because 241146798329 - 212 = 241146794233 is a prime.

It is not a weakly prime, because it can be changed into another prime (241146798359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120573399164 + 120573399165.

It is an arithmetic number, because the mean of its divisors is an integer number (120573399165).

Almost surely, 2241146798329 is an apocalyptic number.

It is an amenable number.

241146798329 is a deficient number, since it is larger than the sum of its proper divisors (1).

241146798329 is an equidigital number, since it uses as much as digits as its factorization.

241146798329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5225472, while the sum is 56.

The spelling of 241146798329 in words is "two hundred forty-one billion, one hundred forty-six million, seven hundred ninety-eight thousand, three hundred twenty-nine".