Search a number
-
+
44008800000 = 28355111667
BaseRepresentation
bin101000111111001000…
…001111111100000000
311012121001022200021120
4220333020033330000
51210112223100000
632114541152240
73115402425234
oct507710177400
9135531280246
1044008800000
11177339028a0
12864255b680
1341c4765579
1421b6b725c4
1512288e96a0
hexa3f20ff00

44008800000 has 432 divisors, whose sum is σ = 159805021824. Its totient is φ = 10662400000.

The previous prime is 44008799981. The next prime is 44008800013. The reversal of 44008800000 is 880044.

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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26399167 + ... + 26400833.

It is an arithmetic number, because the mean of its divisors is an integer number (369919032).

Almost surely, 244008800000 is an apocalyptic number.

44008800000 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 44008800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79902510912).

44008800000 is an abundant number, since it is smaller than the sum of its proper divisors (115796221824).

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

44008800000 is an equidigital number, since it uses as much as digits as its factorization.

44008800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 44008800000 in words is "forty-four billion, eight million, eight hundred thousand".