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3434344415441 is a prime number
BaseRepresentation
bin110001111110011110111…
…000010000000011010001
3110011022122100220201102122
4301332132320100003101
5422232014132243231
611145414355424025
7503060153605142
oct61763670200321
913138570821378
103434344415441
111104551986795
12475722bb5015
131bbb1b604054
14bc31a4adac9
155e50637077b
hex31f9ee100d1

3434344415441 has 2 divisors, whose sum is σ = 3434344415442. Its totient is φ = 3434344415440.

The previous prime is 3434344415429. The next prime is 3434344415443. The reversal of 3434344415441 is 1445144434343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2369124326416 + 1065220089025 = 1539196^2 + 1032095^2 .

It is a cyclic number.

It is not a de Polignac number, because 3434344415441 - 26 = 3434344415377 is a prime.

It is a super-3 number, since 3×34343444154413 (a number of 39 digits) contains 333 as substring.

Together with 3434344415443, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 3434344415392 and 3434344415401.

It is not a weakly prime, because it can be changed into another prime (3434344415443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1717172207720 + 1717172207721.

It is an arithmetic number, because the mean of its divisors is an integer number (1717172207721).

Almost surely, 23434344415441 is an apocalyptic number.

It is an amenable number.

3434344415441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3434344415441 is an equidigital number, since it uses as much as digits as its factorization.

3434344415441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2211840, while the sum is 44.

Adding to 3434344415441 its reverse (1445144434343), we get a palindrome (4879488849784).

The spelling of 3434344415441 in words is "three trillion, four hundred thirty-four billion, three hundred forty-four million, four hundred fifteen thousand, four hundred forty-one".