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442378505873233 is a prime number
BaseRepresentation
bin110010010010101110100010…
…1101100101110011101010001
32011000022222020200121120120001
41210211131011230232131101
5430440412140000420413
64204505514030450001
7162115535525234506
oct14445350554563521
92130288220546501
10442378505873233
11118a56741866316
1241747b02663901
1315cac1638c63b7
147b3533bc794ad
15362243071b4dd
hex1925745b2e751

442378505873233 has 2 divisors, whose sum is σ = 442378505873234. Its totient is φ = 442378505873232.

The previous prime is 442378505873231. The next prime is 442378505873387. The reversal of 442378505873233 is 332378505873244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251618017950784 + 190760487922449 = 15862472^2 + 13811607^2 .

It is a cyclic number.

It is not a de Polignac number, because 442378505873233 - 21 = 442378505873231 is a prime.

Together with 442378505873231, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (442378505873231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221189252936616 + 221189252936617.

It is an arithmetic number, because the mean of its divisors is an integer number (221189252936617).

Almost surely, 2442378505873233 is an apocalyptic number.

It is an amenable number.

442378505873233 is a deficient number, since it is larger than the sum of its proper divisors (1).

442378505873233 is an equidigital number, since it uses as much as digits as its factorization.

442378505873233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 406425600, while the sum is 64.

The spelling of 442378505873233 in words is "four hundred forty-two trillion, three hundred seventy-eight billion, five hundred five million, eight hundred seventy-three thousand, two hundred thirty-three".