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44066066044 = 2271121317229257
BaseRepresentation
bin101001000010100010…
…101100111001111100
311012202001002002112011
4221002202230321330
51210221403103134
632124344421004
73116666244520
oct510242547174
9135661062464
1044066066044
1117763166700
128659777764
134203595cc0
1421c05dbd80
15122d95c264
hexa428ace7c

44066066044 has 288 divisors, whose sum is σ = 111375008640. Its totient is φ = 14792785920.

The previous prime is 44066066041. The next prime is 44066066063.

It is a happy number.

44066066044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44066065988 and 44066066006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44066066041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 171463164 + ... + 171463420.

It is an arithmetic number, because the mean of its divisors is an integer number (386718780).

Almost surely, 244066066044 is an apocalyptic number.

44066066044 is a gapful number since it is divisible by the number (44) 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 44066066044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55687504320).

44066066044 is an abundant number, since it is smaller than the sum of its proper divisors (67308942596).

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

44066066044 is a wasteful number, since it uses less digits than its factorization.

44066066044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 44066066044 in words is "forty-four billion, sixty-six million, sixty-six thousand, forty-four", and thus it is an eban number.