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104441353353 = 3214937772669
BaseRepresentation
bin110000101000100110…
…0001001010010001001
3100222120200211110200100
41201101030021102021
53202343441301403
6115551340400013
710355103566361
oct1412114112211
9328520743610
10104441353353
114032546a667
12182a9246009
139b059c128c
1450aac619a1
152ab40e12a3
hex1851309489

104441353353 has 12 divisors (see below), whose sum is σ = 150960796740. Its totient is φ = 69580923936.

The previous prime is 104441353339. The next prime is 104441353381. The reversal of 104441353353 is 353353144401.

104441353353 is a `hidden beast` number, since 1 + 0 + 444 + 135 + 33 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38985712704 + 65455640649 = 197448^2 + 255843^2 .

It is not a de Polignac number, because 104441353353 - 210 = 104441352329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104441355353) 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 in 11 ways as a sum of consecutive naturals, for example, 3872898 + ... + 3899771.

It is an arithmetic number, because the mean of its divisors is an integer number (12580066395).

Almost surely, 2104441353353 is an apocalyptic number.

It is an amenable number.

104441353353 is a deficient number, since it is larger than the sum of its proper divisors (46519443387).

104441353353 is a wasteful number, since it uses less digits than its factorization.

104441353353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774168 (or 7774165 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 104441353353 its reverse (353353144401), we get a palindrome (457794497754).

The spelling of 104441353353 in words is "one hundred four billion, four hundred forty-one million, three hundred fifty-three thousand, three hundred fifty-three".

Divisors: 1 3 9 1493 4479 13437 7772669 23318007 69954021 11604594817 34813784451 104441353353