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444144312 = 233217362863
BaseRepresentation
bin11010011110010…
…001101010111000
31010221201212110100
4122132101222320
51402200104222
6112023315400
714002110243
oct3236215270
91127655410
10444144312
11208787217
121048abb60
13710295b1
1442db625a
1528ed34ac
hex1a791ab8

444144312 has 48 divisors (see below), whose sum is σ = 1273652640. Its totient is φ = 139339008.

The previous prime is 444144307. The next prime is 444144317. The reversal of 444144312 is 213441444.

It is an interprime number because it is at equal distance from previous prime (444144307) and next prime (444144317).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444144317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180208 + ... + 182655.

It is an arithmetic number, because the mean of its divisors is an integer number (26534430).

Almost surely, 2444144312 is an apocalyptic number.

It is an amenable number.

444144312 is an abundant number, since it is smaller than the sum of its proper divisors (829508328).

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

444144312 is a wasteful number, since it uses less digits than its factorization.

444144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362892 (or 362885 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 444144312 is about 21074.7315997144. The cubic root of 444144312 is about 762.9710067442.

Adding to 444144312 its reverse (213441444), we get a palindrome (657585756).

The spelling of 444144312 in words is "four hundred forty-four million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 362863 725726 1088589 1451452 2177178 2902904 3265767 4354356 6168671 6531534 8708712 12337342 13063068 18506013 24674684 26126136 37012026 49349368 55518039 74024052 111036078 148048104 222072156 444144312