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442144033 is a prime number
BaseRepresentation
bin11010010110101…
…001010100100001
31010210222020120221
4122112221110201
51401142102113
6111512403041
713646106442
oct3226512441
91123866527
10442144033
112076403a1
121040a6481
13707a8cb6
1442a152c9
1528c3a98d
hex1a5a9521

442144033 has 2 divisors, whose sum is σ = 442144034. Its totient is φ = 442144032.

The previous prime is 442143997. The next prime is 442144037. The reversal of 442144033 is 330441244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 438986304 + 3157729 = 20952^2 + 1777^2 .

It is a cyclic number.

It is not a de Polignac number, because 442144033 - 29 = 442143521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442143989 and 442144007.

It is not a weakly prime, because it can be changed into another prime (442144037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221072016 + 221072017.

It is an arithmetic number, because the mean of its divisors is an integer number (221072017).

Almost surely, 2442144033 is an apocalyptic number.

It is an amenable number.

442144033 is a deficient number, since it is larger than the sum of its proper divisors (1).

442144033 is an equidigital number, since it uses as much as digits as its factorization.

442144033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 442144033 is about 21027.2212381950. The cubic root of 442144033 is about 761.8238933026.

Adding to 442144033 its reverse (330441244), we get a palindrome (772585277).

The spelling of 442144033 in words is "four hundred forty-two million, one hundred forty-four thousand, thirty-three".