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344311404013 is a prime number
BaseRepresentation
bin1010000001010101000…
…11110001010111101101
31012220201122122120200201
411000222203301113231
521120122204412023
6422101404153501
733606233434213
oct5005243612755
91186648576621
10344311404013
111230268a1a55
1256891238891
13266121942b5
1412944164cb3
158e5292dbad
hex502a8f15ed

344311404013 has 2 divisors, whose sum is σ = 344311404014. Its totient is φ = 344311404012.

The previous prime is 344311403981. The next prime is 344311404053. The reversal of 344311404013 is 310404113443.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 338162021289 + 6149382724 = 581517^2 + 78418^2 .

It is an emirp because it is prime and its reverse (310404113443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 344311404013 - 25 = 344311403981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (344311404053) 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, 172155702006 + 172155702007.

It is an arithmetic number, because the mean of its divisors is an integer number (172155702007).

Almost surely, 2344311404013 is an apocalyptic number.

It is an amenable number.

344311404013 is a deficient number, since it is larger than the sum of its proper divisors (1).

344311404013 is an equidigital number, since it uses as much as digits as its factorization.

344311404013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 344311404013 its reverse (310404113443), we get a palindrome (654715517456).

The spelling of 344311404013 in words is "three hundred forty-four billion, three hundred eleven million, four hundred four thousand, thirteen".