Search a number
-
+
344377101041 is a prime number
BaseRepresentation
bin1010000001011100111…
…10011000101011110001
31012220220020021100001222
411000232132120223301
521120241014213131
6422112112234425
733610662026561
oct5005636305361
91186806240058
10344377101041
1112305a994116
12568ab23ba15
132662298738c
141294cb86da1
158e585a987b
hex502e798af1

344377101041 has 2 divisors, whose sum is σ = 344377101042. Its totient is φ = 344377101040.

The previous prime is 344377100941. The next prime is 344377101043. The reversal of 344377101041 is 140101773443.

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., 337717888225 + 6659212816 = 581135^2 + 81604^2 .

It is an emirp because it is prime and its reverse (140101773443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 344377101041 - 210 = 344377100017 is a prime.

It is a Sophie Germain prime.

Together with 344377101043, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 344377100992 and 344377101010.

It is not a weakly prime, because it can be changed into another prime (344377101043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172188550520 + 172188550521.

It is an arithmetic number, because the mean of its divisors is an integer number (172188550521).

Almost surely, 2344377101041 is an apocalyptic number.

It is an amenable number.

344377101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

344377101041 is an equidigital number, since it uses as much as digits as its factorization.

344377101041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 35.

Adding to 344377101041 its reverse (140101773443), we get a palindrome (484478874484).

The spelling of 344377101041 in words is "three hundred forty-four billion, three hundred seventy-seven million, one hundred one thousand, forty-one".