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44382213120 = 21035723131137
BaseRepresentation
bin101001010101011000…
…101101010000000000
311020120001222000210010
4221111120231100000
51211343321304440
632220000504520
73130555405230
oct512530552000
9136501860703
1044382213120
1117905669683
12872761b140
134253c2858b
1422105b5cc0
15124b5aa580
hexa5562d400

44382213120 has 704 divisors, whose sum is σ = 171823804416. Its totient is φ = 9559080960.

The previous prime is 44382213079. The next prime is 44382213121. The reversal of 44382213120 is 2131228344.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44382213121) 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 63 ways as a sum of consecutive naturals, for example, 323957692 + ... + 323957828.

It is an arithmetic number, because the mean of its divisors is an integer number (244067904).

Almost surely, 244382213120 is an apocalyptic number.

44382213120 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 44382213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85911902208).

44382213120 is an abundant number, since it is smaller than the sum of its proper divisors (127441591296).

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

44382213120 is a wasteful number, since it uses less digits than its factorization.

44382213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 44382213120 in words is "forty-four billion, three hundred eighty-two million, two hundred thirteen thousand, one hundred twenty".