232 = 4,294,967,296 This is in the very same ballpark as the human population of theEarth which is at this time approaching 7 billion.

You are watching: 2 to the power of what equals 128


242 = 4,398,046,511,104 This is in the variety of the number of cells in the human being body.

264 = 18,446,744,073,709,551,616


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296 = 79,228,162,514,264,337,593,543,950,336

2128 = 340,282,366,920,938,463,463,374,607,431,768,211,456This would certainly be something prefer the number of cellsin 77,371,252,455,336,267,181,195,264 person bodies.

Tetration

You have the right to read more about tetration here or below for a an ext accessible treatment.

So although 264 does no look much different in symbols to 2128, the former number is easy to comprehend, and the latter pushes the limits of her imagination.


Yet this number is comprehend-able with a tiny effort. There are various other numbers that space mind-numbing in concept. A number called Graham's number is the biggest number ever before used in a math proof. It was a proof including a branch of math as an upper bound in a trouble presented in Ramsey Theory.


Graham's number is so large that an simple digital depiction requires so plenty of bits of details that there room not enough states in the observable world for it. That cannot also be represented with a 'tower' that powers.


ab where b=cd where d=ef...

and we need to use Knuth's up arrow notation or something equivalent. This is fodder for another article yet it's helpful to know that the up arrowhead notation offers iterated exponentiation. This is tetration.

The theoretical (but not practical) upper possible variety of internet addresses available in one IPv6 packet header is 2128.  Hopefully once you view this number girlfriend will have actually a reasonable idea what the means.

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Comments

bilal top top February 27, 2020:

The cryptographic algorithms supplied in advanced Encryption requirements are much more secure as result of 128-bit symmetric keys, if who sets a password containing both letters and also symbols that is really hard for any kind of hacker to find out the code. I usage a 128 bit key size password on our workflow management systems and also I am certain no one will break it, because that a far better security I use a random password generator the maximizes the defense of the password.