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444201140 = 22522210057
BaseRepresentation
bin11010011110011…
…111100010110100
31010221211202102002
4122132133202310
51402203414030
6112024434432
714002435025
oct3236374264
91127752362
10444201140
11208815989
12104918a18
1371049416
1442dccc4c
1528ee5245
hex1a79f8b4

444201140 has 12 divisors (see below), whose sum is σ = 932822436. Its totient is φ = 177680448.

The previous prime is 444201127. The next prime is 444201161. The reversal of 444201140 is 41102444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 161086864 + 283114276 = 12692^2 + 16826^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 22210057 = 444201140 / (4 + 4 + 4 + 2 + 0 + 1 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11105009 + ... + 11105048.

It is an arithmetic number, because the mean of its divisors is an integer number (77735203).

Almost surely, 2444201140 is an apocalyptic number.

It is an amenable number.

444201140 is an abundant number, since it is smaller than the sum of its proper divisors (488621296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444201140 is a wasteful number, since it uses less digits than its factorization.

444201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22210066 (or 22210064 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 444201140 is about 21076.0798062638. The cubic root of 444201140 is about 763.0035459183.

Adding to 444201140 its reverse (41102444), we get a palindrome (485303584).

The spelling of 444201140 in words is "four hundred forty-four million, two hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 22210057 44420114 88840228 111050285 222100570 444201140