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441124442000441 is a prime number
BaseRepresentation
bin110010001001100110100100…
…1101010101100110000111001
32010211220002021211012011111122
41210103031021222230300321
5430304340324123003231
64202105434313435025
7161626121620215203
oct14423151152546071
92124802254164448
10441124442000441
11118612909467421
1241584a5710ba75
1315c1ab19645624
147ad0773401773
1535ee9d44ea77b
hex1913349aacc39

441124442000441 has 2 divisors, whose sum is σ = 441124442000442. Its totient is φ = 441124442000440.

The previous prime is 441124442000419. The next prime is 441124442000449. The reversal of 441124442000441 is 144000244421144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 322223322336400 + 118901119664041 = 17950580^2 + 10904179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-441124442000441 is a prime.

It is not a weakly prime, because it can be changed into another prime (441124442000449) 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, 220562221000220 + 220562221000221.

It is an arithmetic number, because the mean of its divisors is an integer number (220562221000221).

Almost surely, 2441124442000441 is an apocalyptic number.

It is an amenable number.

441124442000441 is a deficient number, since it is larger than the sum of its proper divisors (1).

441124442000441 is an equidigital number, since it uses as much as digits as its factorization.

441124442000441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65536, while the sum is 35.

Adding to 441124442000441 its reverse (144000244421144), we get a palindrome (585124686421585).

The spelling of 441124442000441 in words is "four hundred forty-one trillion, one hundred twenty-four billion, four hundred forty-two million, four hundred forty-one", and thus it is an aban number.