Search a number
-
+
44440044000 = 2535311336667
BaseRepresentation
bin101001011000110101…
…010100000111100000
311020201002210010211120
4221120311110013200
51212003122402000
632225424212240
73132160066332
oct513065240740
9136632703746
1044440044000
11179352788a0
128742a6a080
134262bc6131
14221814b452
1512516d06a0
hexa58d541e0

44440044000 has 192 divisors, whose sum is σ = 158821108992. Its totient is φ = 10773312000.

The previous prime is 44440043981. The next prime is 44440044007. The reversal of 44440044000 is 44004444.

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 (44440044007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36334 + ... + 300333.

It is an arithmetic number, because the mean of its divisors is an integer number (827193276).

Almost surely, 244440044000 is an apocalyptic number.

44440044000 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 44440044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79410554496).

44440044000 is an abundant number, since it is smaller than the sum of its proper divisors (114381064992).

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

44440044000 is a wasteful number, since it uses less digits than its factorization.

44440044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336706 (or 336688 counting only the distinct ones).

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

Adding to 44440044000 its reverse (44004444), we get a palindrome (44484048444).

The spelling of 44440044000 in words is "forty-four billion, four hundred forty million, forty-four thousand".