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9144827013041 is a prime number
BaseRepresentation
bin1000010100010011001000…
…1010100110011110110001
31012101020101201101101011022
42011010302022212132301
52144312101203404131
631241024152025225
71632456224033006
oct205046212463661
935336351341138
109144827013041
112a06332497645
1210383b4092215
135144797c3805
1423887d4258ad
1510cd2808437b
hex851322a67b1

9144827013041 has 2 divisors, whose sum is σ = 9144827013042. Its totient is φ = 9144827013040.

The previous prime is 9144827012983. The next prime is 9144827013151. The reversal of 9144827013041 is 1403107284419.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6846616492816 + 2298210520225 = 2616604^2 + 1515985^2 .

It is a cyclic number.

It is not a de Polignac number, because 9144827013041 - 226 = 9144759904177 is a prime.

It is a super-2 number, since 2×91448270130412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9144827012983 and 9144827013001.

It is not a weakly prime, because it can be changed into another prime (9144827016041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4572413506520 + 4572413506521.

It is an arithmetic number, because the mean of its divisors is an integer number (4572413506521).

Almost surely, 29144827013041 is an apocalyptic number.

It is an amenable number.

9144827013041 is a deficient number, since it is larger than the sum of its proper divisors (1).

9144827013041 is an equidigital number, since it uses as much as digits as its factorization.

9144827013041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 9144827013041 in words is "nine trillion, one hundred forty-four billion, eight hundred twenty-seven million, thirteen thousand, forty-one".