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344261430241 is a prime number
BaseRepresentation
bin1010000001001111001…
…01001000101111100001
31012220121011121122120021
411000213211020233201
521120021411231431
6422052421113441
733605055606121
oct5004745105741
91186534548507
10344261430241
11123000669a13
1256878558881
1326604a17b11
141293b676c81
158e4d35bb11
hex5027948be1

344261430241 has 2 divisors, whose sum is σ = 344261430242. Its totient is φ = 344261430240.

The previous prime is 344261430181. The next prime is 344261430257. The reversal of 344261430241 is 142034162443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336723717841 + 7537712400 = 580279^2 + 86820^2 .

It is an emirp because it is prime and its reverse (142034162443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 344261430241 - 211 = 344261428193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344261430197 and 344261430206.

It is not a weakly prime, because it can be changed into another prime (344261430281) 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, 172130715120 + 172130715121.

It is an arithmetic number, because the mean of its divisors is an integer number (172130715121).

Almost surely, 2344261430241 is an apocalyptic number.

It is an amenable number.

344261430241 is a deficient number, since it is larger than the sum of its proper divisors (1).

344261430241 is an equidigital number, since it uses as much as digits as its factorization.

344261430241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 344261430241 its reverse (142034162443), we get a palindrome (486295592684).

The spelling of 344261430241 in words is "three hundred forty-four billion, two hundred sixty-one million, four hundred thirty thousand, two hundred forty-one".