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44011320000000 = 293573111831
BaseRepresentation
bin10100000000111001011110…
…00110000011111000000000
312202211102220120012021221220
422000130233012003320000
521232040140410000000
6233334304333115040
712161466352341243
oct1200345706037000
9182742816167856
1044011320000000
1113029106849241
124b29832028a80
131b7333269ba42
14ac2232dc725a
15514c7e8c61a0
hex28072f183e00

44011320000000 has 640 divisors, whose sum is σ = 151301312667648. Its totient is φ = 11356800000000.

The previous prime is 44011319999971. The next prime is 44011320000047. The reversal of 44011320000000 is 2311044.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 3719994085 + ... + 3720005915.

Almost surely, 244011320000000 is an apocalyptic number.

44011320000000 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 44011320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75650656333824).

44011320000000 is an abundant number, since it is smaller than the sum of its proper divisors (107289992667648).

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

44011320000000 is an frugal number, since it uses more digits than its factorization.

44011320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11918 (or 11872 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 44011320000000 its reverse (2311044), we get a palindrome (44011322311044).

The spelling of 44011320000000 in words is "forty-four trillion, eleven billion, three hundred twenty million", and thus it is an aban number.