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44030214200 = 235272171272081
BaseRepresentation
bin101001000000011001…
…111100000000111000
311012122112121122001002
4221000121330000320
51210133213323300
632121024144132
73116052434300
oct510031740070
9135575548032
1044030214200
11177449a9685
128649768048
1341c90225ab
1421b9948600
15122a7295d5
hexa4067c038

44030214200 has 288 divisors, whose sum is σ = 127142576640. Its totient is φ = 14089420800.

The previous prime is 44030214181. The next prime is 44030214271. The reversal of 44030214200 is 241203044.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 21157160 + ... + 21159240.

It is an arithmetic number, because the mean of its divisors is an integer number (441467280).

Almost surely, 244030214200 is an apocalyptic number.

44030214200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44030214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63571288320).

44030214200 is an abundant number, since it is smaller than the sum of its proper divisors (83112362440).

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

44030214200 is a wasteful number, since it uses less digits than its factorization.

44030214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 44030214200 its reverse (241203044), we get a palindrome (44271417244).

The spelling of 44030214200 in words is "forty-four billion, thirty million, two hundred fourteen thousand, two hundred".