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34485901441 is a prime number
BaseRepresentation
bin100000000111100001…
…010001100010000001
310022000101022022021221
4200013201101202001
51031111342321231
623502000315041
72330410216465
oct400741214201
9108011268257
1034485901441
11136974351a2
126825312a81
133337873654
1419521244a5
15d6c87ed11
hex807851881

34485901441 has 2 divisors, whose sum is σ = 34485901442. Its totient is φ = 34485901440.

The previous prime is 34485901397. The next prime is 34485901543. The reversal of 34485901441 is 14410958443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28864650816 + 5621250625 = 169896^2 + 74975^2 .

It is a cyclic number.

It is not a de Polignac number, because 34485901441 - 27 = 34485901313 is a prime.

It is not a weakly prime, because it can be changed into another prime (34485904441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17242950720 + 17242950721.

It is an arithmetic number, because the mean of its divisors is an integer number (17242950721).

Almost surely, 234485901441 is an apocalyptic number.

It is an amenable number.

34485901441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34485901441 is an equidigital number, since it uses as much as digits as its factorization.

34485901441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 34485901441 in words is "thirty-four billion, four hundred eighty-five million, nine hundred one thousand, four hundred forty-one".