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442145313 = 3249127257
BaseRepresentation
bin11010010110101…
…001101000100001
31010210222022100100
4122112221220201
51401142122223
6111512413013
713646113251
oct3226515041
91123868310
10442145313
11207641355
121040a7169
13707a975c
1442a15961
1528c3b043
hex1a5a9a21

442145313 has 6 divisors (see below), whose sum is σ = 638654354. Its totient is φ = 294763536.

The previous prime is 442145273. The next prime is 442145317. The reversal of 442145313 is 313541244.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 435473424 + 6671889 = 20868^2 + 2583^2 .

It is not a de Polignac number, because 442145313 - 213 = 442137121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442145317) 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 in 5 ways as a sum of consecutive naturals, for example, 24563620 + ... + 24563637.

Almost surely, 2442145313 is an apocalyptic number.

It is an amenable number.

442145313 is a deficient number, since it is larger than the sum of its proper divisors (196509041).

442145313 is a wasteful number, since it uses less digits than its factorization.

442145313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49127263 (or 49127260 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 442145313 is about 21027.2516749099. The cubic root of 442145313 is about 761.8246284580.

Adding to 442145313 its reverse (313541244), we get a palindrome (755686557).

The spelling of 442145313 in words is "four hundred forty-two million, one hundred forty-five thousand, three hundred thirteen".

Divisors: 1 3 9 49127257 147381771 442145313