Originally Posted by Josem
Data density is measured in gigabits per square inch.
Assuming a data density of 150gbits/square inch (wiki) you would need 133,892,570,783,767,000,000,000,000,000,000,000,00 0,000,000,000,000,000,000,000 inches of space.
however, the earth's total surface is only ~4,000,000,000 square inches.
Thus, you would need to cover the earth in hard disks stacked about this high: 33,473,142,695,941,700,000,000,000,000,000,000,000 ,000,000,000,000
In summary, anyone who claims that you could store all the different combinations of a 52 card deck if you covered the earth in computer servers is very wrong.
Assuming each hard drive was an inch high, the total height of the hard disks would be about 850,217,824,476,920,000,000,000,000,000,000,000,00 0,000,000km*
That works out to be about 89,929,648,447,166,700,000,000,000,000,000 light years.
To put that into perspective, wikipedia puts the size of the visible universe at about 93,000,000,000 light years.
Thus, to store every combination of 52 cards would basically fill up the entire visible universe* a total of 966,985,467,173,836,000,000 times.
*This doesn't account for the increased surface area caused by the huge circumference of such a height, thus, it is assumed that the disks are simply stored one on top of each other.