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344112200441 is a prime number
BaseRepresentation
bin1010000000111101010…
…11110111101011111001
31012220012202210222202122
411000132223313223321
521114220210403231
6422025530411025
733601264304612
oct5003653675371
91186182728678
10344112200441
11122a344033a9
1256836590a75
13265acb28669
141292590cc09
158e401d077b
hex501eaf7af9

344112200441 has 2 divisors, whose sum is σ = 344112200442. Its totient is φ = 344112200440.

The previous prime is 344112200429. The next prime is 344112200449. The reversal of 344112200441 is 144002211443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335448314041 + 8663886400 = 579179^2 + 93080^2 .

It is an emirp because it is prime and its reverse (144002211443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 344112200441 - 238 = 69234293497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344112200441.

It is not a weakly prime, because it can be changed into another prime (344112200449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172056100220 + 172056100221.

It is an arithmetic number, because the mean of its divisors is an integer number (172056100221).

Almost surely, 2344112200441 is an apocalyptic number.

It is an amenable number.

344112200441 is a deficient number, since it is larger than the sum of its proper divisors (1).

344112200441 is an equidigital number, since it uses as much as digits as its factorization.

344112200441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 344112200441 its reverse (144002211443), we get a palindrome (488114411884).

The spelling of 344112200441 in words is "three hundred forty-four billion, one hundred twelve million, two hundred thousand, four hundred forty-one".