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44132199244849 = 3122142972
BaseRepresentation
bin10100000100011010101000…
…00011110010010000110001
312210020222220211211011122101
422002031110003302100301
521241030221001313344
6233510015154540401
712203306016066562
oct1202152403622061
9183228824734571
1044132199244849
11130753a6a49aa1
124b49148297701
131b81857a93721
14ac801d006169
15517ea6b589d4
hex2823540f2431

44132199244849 has 9 divisors (see below), whose sum is σ = 45601954577451. Its totient is φ = 42708380618160.

The previous prime is 44132199244801. The next prime is 44132199244909. The reversal of 44132199244849 is 94844299123144.

The square root of 44132199244849 is 6643207.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31127751600625 + 13004447644224 = 5579225^2 + 3606168^2 .

It is not a de Polignac number, because 44132199244849 - 223 = 44132190856241 is a prime.

It is a super-4 number, since 4×441321992448494 (a number of 56 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (44132199214849) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 205832269 + ... + 206046565.

It is an arithmetic number, because the mean of its divisors is an integer number (5066883841939).

Almost surely, 244132199244849 is an apocalyptic number.

44132199244849 is the 6643207-th square number.

44132199244849 is the 3321604-th centered octagonal number.

It is an amenable number.

44132199244849 is a deficient number, since it is larger than the sum of its proper divisors (1469755332602).

44132199244849 is an frugal number, since it uses more digits than its factorization.

44132199244849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428656 (or 214328 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 64.

The spelling of 44132199244849 in words is "forty-four trillion, one hundred thirty-two billion, one hundred ninety-nine million, two hundred forty-four thousand, eight hundred forty-nine".

Divisors: 1 31 961 214297 6643207 205939417 45923204209 1423619330479 44132199244849