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442220817781 is a prime number
BaseRepresentation
bin1100110111101100110…
…10100010110101110101
31120021110010111010202201
412123312122202311311
524221132012132111
6535053050504501
743643433634141
oct6336632426565
91507403433681
10442220817781
111605aa139736
1271856a35131
1332916830962
14175916aa221
15b7833606c1
hex66f66a2d75

442220817781 has 2 divisors, whose sum is σ = 442220817782. Its totient is φ = 442220817780.

The previous prime is 442220817763. The next prime is 442220817869. The reversal of 442220817781 is 187718022244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296169966225 + 146050851556 = 544215^2 + 382166^2 .

It is a cyclic number.

It is not a de Polignac number, because 442220817781 - 27 = 442220817653 is a prime.

It is a super-3 number, since 3×4422208177813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442220817721) 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, 221110408890 + 221110408891.

It is an arithmetic number, because the mean of its divisors is an integer number (221110408891).

Almost surely, 2442220817781 is an apocalyptic number.

It is an amenable number.

442220817781 is a deficient number, since it is larger than the sum of its proper divisors (1).

442220817781 is an equidigital number, since it uses as much as digits as its factorization.

442220817781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 401408, while the sum is 46.

The spelling of 442220817781 in words is "four hundred forty-two billion, two hundred twenty million, eight hundred seventeen thousand, seven hundred eighty-one".