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44112112000 = 275311534729
BaseRepresentation
bin101001000101010010…
…010110100110000000
311012212020201110200221
4221011102112212000
51210320200041000
632133111352424
73121065523345
oct510522264600
9135766643627
1044112112000
1117787156710
128671082714
13420cc98728
1421c67867cc
151232a0561a
hexa45496980

44112112000 has 256 divisors, whose sum is σ = 121927291200. Its totient is φ = 15734784000.

The previous prime is 44112111983. The next prime is 44112112001. The reversal of 44112112000 is 21121144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44112112001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9325636 + ... + 9330364.

Almost surely, 244112112000 is an apocalyptic number.

44112112000 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 44112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963645600).

44112112000 is an abundant number, since it is smaller than the sum of its proper divisors (77815179200).

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

44112112000 is a wasteful number, since it uses less digits than its factorization.

44112112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 44112112000 its reverse (21121144), we get a palindrome (44133233144).

The spelling of 44112112000 in words is "forty-four billion, one hundred twelve million, one hundred twelve thousand".