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34404362441 is a prime number
BaseRepresentation
bin100000000010101010…
…001110100011001001
310021210200212200210222
4200002222032203021
51030430004044231
623445524515425
72325400153451
oct400252164311
9107720780728
1034404362441
1113655402799
126801b4bb75
1333239c4917
14194537ad61
15d6562527b
hex802a8e8c9

34404362441 has 2 divisors, whose sum is σ = 34404362442. Its totient is φ = 34404362440.

The previous prime is 34404362429. The next prime is 34404362497. The reversal of 34404362441 is 14426340443.

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., 33600356416 + 804006025 = 183304^2 + 28355^2 .

It is an emirp because it is prime and its reverse (14426340443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34404362441 - 214 = 34404346057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34404302441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17202181220 + 17202181221.

It is an arithmetic number, because the mean of its divisors is an integer number (17202181221).

Almost surely, 234404362441 is an apocalyptic number.

It is an amenable number.

34404362441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34404362441 is an equidigital number, since it uses as much as digits as its factorization.

34404362441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 35.

The spelling of 34404362441 in words is "thirty-four billion, four hundred four million, three hundred sixty-two thousand, four hundred forty-one".