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44004444000 = 2535311333367
BaseRepresentation
bin101000111110110111…
…101000011101100000
311012120202010100222020
4220332313220131200
51210110114202000
632114303541440
73115320413436
oct507667503540
9135522110866
1044004444000
11177313a80a0
128640bba880
1341c389b95a
1421b635ad56
151228338ba0
hexa3ede8760

44004444000 has 192 divisors, whose sum is σ = 157264353792. Its totient is φ = 10667712000.

The previous prime is 44004443963. The next prime is 44004444007. The reversal of 44004444000 is 44440044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44004444007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34684 + ... + 298683.

It is an arithmetic number, because the mean of its divisors is an integer number (819085176).

Almost surely, 244004444000 is an apocalyptic number.

44004444000 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 44004444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78632176896).

44004444000 is an abundant number, since it is smaller than the sum of its proper divisors (113259909792).

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

44004444000 is a wasteful number, since it uses less digits than its factorization.

44004444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333406 (or 333388 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44004444000 its reverse (44440044), we get a palindrome (44048884044).

It can be divided in two parts, 4 and 4004444000, that added together give a palindrome (4004444004).

The spelling of 44004444000 in words is "forty-four billion, four million, four hundred forty-four thousand".