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444506662223231 is a prime number
BaseRepresentation
bin110010100010001101100010…
…1101100111011110101111111
32011021212102101120020112210112
41211010123011230323311333
5431230244121012120411
64213215312551100235
7162425355316603166
oct14504330554736577
92137772346215715
10444506662223231
111196a7242618743
1241a3045197167b
1316104a4c09b21a
147baa346dd83dd
15365c989780b8b
hex19446c5b3bd7f

444506662223231 has 2 divisors, whose sum is σ = 444506662223232. Its totient is φ = 444506662223230.

The previous prime is 444506662223191. The next prime is 444506662223233. The reversal of 444506662223231 is 132322266605444.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 444506662223231 - 242 = 440108615712127 is a prime.

It is a super-2 number, since 2×4445066622232312 (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 444506662223233, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 444506662223231.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444506662223233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222253331111615 + 222253331111616.

It is an arithmetic number, because the mean of its divisors is an integer number (222253331111616).

Almost surely, 2444506662223231 is an apocalyptic number.

444506662223231 is a deficient number, since it is larger than the sum of its proper divisors (1).

444506662223231 is an equidigital number, since it uses as much as digits as its factorization.

444506662223231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9953280, while the sum is 50.

The spelling of 444506662223231 in words is "four hundred forty-four trillion, five hundred six billion, six hundred sixty-two million, two hundred twenty-three thousand, two hundred thirty-one".