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10444022412289 is a prime number
BaseRepresentation
bin1001011111111011000000…
…1111101111010000000001
31100222102211212201212122121
42113332300033233100001
52332103324214143124
634113530114204241
72125361416516534
oct227766017572001
940872755655577
1010444022412289
113367315416334
121208155b83681
135a9b36cb6c1b
142816c9ba8a1b
15131a165242e4
hex97fb03ef401

10444022412289 has 2 divisors, whose sum is σ = 10444022412290. Its totient is φ = 10444022412288.

The previous prime is 10444022412251. The next prime is 10444022412377. The reversal of 10444022412289 is 98221422044401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6097664729025 + 4346357683264 = 2469345^2 + 2084792^2 .

It is a cyclic number.

It is not a de Polignac number, because 10444022412289 - 215 = 10444022379521 is a prime.

It is not a weakly prime, because it can be changed into another prime (10444022412589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5222011206144 + 5222011206145.

It is an arithmetic number, because the mean of its divisors is an integer number (5222011206145).

Almost surely, 210444022412289 is an apocalyptic number.

It is an amenable number.

10444022412289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10444022412289 is an equidigital number, since it uses as much as digits as its factorization.

10444022412289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 10444022412289 in words is "ten trillion, four hundred forty-four billion, twenty-two million, four hundred twelve thousand, two hundred eighty-nine".