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A Reddit post from user Accendil on the r/theydidthemath community.

Posted on December 31, 2014
https://redd.it/2qxgxw

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I've been a lover of IP addressing for many years, since I was in high school.
I always found it funny how IPv4 had so few addresses because of the
unexpected take off of the "internet".

I then started looking in to IPv6 and this was my first foray into mega
numbers which lead me down a slippery slope of Googolplexes and Infinity but
IPv6 is my first love. Here is some info related to IP addressing (heavily
rounded for ease of viewing):

IPv4 = 2^32
  4,290,000,000
  |   |   |   Hundreds
  |   |   Thousands
  |   Millions
  Billions

IPv6 = 2^128
340,000,000,000,000,000,000,000,000,000,000,000,000
  |   |   |   |   |   |   |   |   |   |   |   |   Hundreds
  |   |   |   |   |   |   |   |   |   |   |   Thousands
  |   |   |   |   |   |   |   |   |   |   Millions
  |   |   |   |   |   |   |   |   |   Billions
  |   |   |   |   |   |   |   |   Trillions
  |   |   |   |   |   |   |   Quadrillions
  |   |   |   |   |   |   Quintillions
  |   |   |   |   |   Sextillion
  |   |   |   |   Septillions
  |   |   |   Octillion
  |   |   Nonillion
  |   Decillion
  Undecillion


Comparison to humans:

1.1. Estimated population of Earth (~2014)
7,210,000,000

1.2. Average number of molecules in an average human body
156,000,000,000,000

1.3. Average number of atoms in an average human body
5,940,000,000,000,000,000,000,000,000

1.4. Estimated number of atoms in the current human race
42,800,000,000,000,000,000,000,000,000,000,000,000


Comparison to things:

2.1. All the grains of sand on Earth
7,500,000,000,000,000,000

2.2. All the stars in the universe
70,000,000,000,000,000,000,000

2.3. Diameter of the observable universe (in millimetres!!)
92,000,000,000,000,000,000,000,000,000


Side-by-side comparison to humans:

v6   340,000,000,000,000,000,000,000,000,000,000,000,000
1.1                                        7,210,000,000
1.2                                  156,000,000,000,000
1.3                5,940,000,000,000,000,000,000,000,000
1.4   42,800,000,000,000,000,000,000,000,000,000,000,000
       |           |                   |   |
       |           Octillions          |   Billions
       Undecillions                    Trillions

This means we can give about 7 IPv6 addresses to each atom in the entire human
race! Or, you could give each person Earth right now this many IPv6 addresses:

                  47,261,439,850,130,342,147,690,917,698
                   |
                   Octillion


Side-by-side comparison to things:

v6  340,000,000,000,000,000,000,000,000,000,000,000,000
2.1   |                       7,500,000,000,000,000,000
2.2   |                  70,000,000,000,000,000,000,000
2.3   |          92,000,000,000,000,000,000,000,000,000
      |           |       |   |
      Undecillions|       |   Quintillions
                  |       Sextillions
                   Octillions

You could therefore give each grain of sand this many IPv6 addresses:

                             45,300,000,000,000,000,000
                              |
                              Quintillion

Or even more magnificently, this means you can give every millimetre from one
side of the universe to the opposite side of the universe in a straight line
about 3.6 billion IPv6 addresses... every... millimetre...

...aaaand now my head hurts so I'll leave it there.


u/accendil on r/theydidthemath
https://redd.it/2qxgxw

... No. of IPv6 Addresses: 340,000,000,000,000,000,000,000,000,000,000,000,000

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