Search a number
-
+
44024110000 = 245413734639
BaseRepresentation
bin101001000000000010…
…101001101110110000
311012122010010111122121
4221000002221232300
51210130133010000
632120245244024
73115646521633
oct510002515660
9135563114577
1044024110000
111774150a492
128647703614
1341c7996040
1421b8bd9c1a
151229e20b1a
hexa400a9bb0

44024110000 has 200 divisors, whose sum is σ = 116383245440. Its totient is φ = 16028928000.

The previous prime is 44024109967. The next prime is 44024110003. The reversal of 44024110000 is 1142044.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×440241100002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (44024110003) 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 39 ways as a sum of consecutive naturals, for example, 9487681 + ... + 9492319.

Almost surely, 244024110000 is an apocalyptic number.

44024110000 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 44024110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58191622720).

44024110000 is an abundant number, since it is smaller than the sum of its proper divisors (72359135440).

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

44024110000 is a wasteful number, since it uses less digits than its factorization.

44024110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 44024110000 its reverse (1142044), we get a palindrome (44025252044).

It can be divided in two parts, 440241 and 10000, that added together give a square (450241 = 6712).

The spelling of 44024110000 in words is "forty-four billion, twenty-four million, one hundred ten thousand".