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44011212000 = 253537229289
BaseRepresentation
bin101000111111010001…
…011100110011100000
311012121012212012220220
4220333101130303200
51210113332241000
632115105003040
73115432062300
oct507721346340
9135535765826
1044011212000
11177351aaa88
128643323480
1341c50cb3a2
1421b71dd600
151228c241a0
hexa3f45cce0

44011212000 has 864 divisors, whose sum is σ = 175655057760. Its totient is φ = 9603686400.

The previous prime is 44011211999. The next prime is 44011212023. The reversal of 44011212000 is 21211044.

44011212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 494507956 + ... + 494508044.

It is an arithmetic number, because the mean of its divisors is an integer number (203304465).

Almost surely, 244011212000 is an apocalyptic number.

44011212000 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 44011212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87827528880).

44011212000 is an abundant number, since it is smaller than the sum of its proper divisors (131643845760).

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

44011212000 is a wasteful number, since it uses less digits than its factorization.

44011212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 44011212000 its reverse (21211044), we get a palindrome (44032423044).

The spelling of 44011212000 in words is "forty-four billion, eleven million, two hundred twelve thousand".