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44444004444000 = 2532537281962563
BaseRepresentation
bin10100001101011111011010…
…00110001110011101100000
312211100210202002022110012200
422012233231012032131200
521311132310114202000
6234305143242253200
712234654601414410
oct1206575506163540
9184323662273180
1044444004444000
1113185661946127
124b996671b7200
131ba50895a0175
14ad915bd38640
15521155909500
hex286bed18e760

44444004444000 has 576 divisors, whose sum is σ = 180331710773760. Its totient is φ = 10154863641600.

The previous prime is 44444004443999. The next prime is 44444004444023. The reversal of 44444004444000 is 44440044444.

44444004444000 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 (36).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 710356719 + ... + 710419281.

It is an arithmetic number, because the mean of its divisors is an integer number (313075886760).

Almost surely, 244444004444000 is an apocalyptic number.

44444004444000 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 44444004444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90165855386880).

44444004444000 is an abundant number, since it is smaller than the sum of its proper divisors (135887706329760).

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

44444004444000 is a wasteful number, since it uses less digits than its factorization.

44444004444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65420 (or 65399 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 44444004444000 its reverse (44440044444), we get a palindrome (44488444488444).

The spelling of 44444004444000 in words is "forty-four trillion, four hundred forty-four billion, four million, four hundred forty-four thousand".