Unimaginable Numbers: What is 1.36 x 10^495 times 20 Million?

[Maximum7]

TL;DR Summary

I am trying to figure out a hypothetical number of unimaginable proportions

Kurzesagt in a Nutshell said that the number of possible protein combinations the human body can have is 6.8 x 10^495. I asked GPT to multiple it by 20 million (which is the hypothetical number of possible alien civilizations in the Milky Way galaxy give or take). The chatbot gave me 1.36 x 10^504. Then I asked for the number and it said 136 quattuordecillion. Google gave the benchmark number for 10^500 (which is relatively close) as 100 cenquinsexagintillion which is totally different.
So basically. What is the answer to 1.36 x 10^495 times 20 million and if so, what is the true name of that possible number?
Sorry I know this is math with unimaginable numbers but I did find some websites with Googling that had names for these ridiculous numbers.

 

[Mark44]

TL;DR Summary: I am trying to figure out a hypothetical number of unimaginable proportions

What is the answer to 1.36 x 10^495 times 20 million

20 million = 2.0 x 10^7
6.8 x 2.0 x 10^(495 + 7) = 13.6 x 10^(502) = 1.36 x 10^(503)

and if so, what is the true name of that possible number?

Why do you care? In any case, this is not an A-level thread, and you're not really working with an equation -- it's just arithmetic, albeit with fairly large numbers.

 

[Maximum7]

20 million = 2.0 x 10^7
6.8 x 2.0 x 10^(495 + 7) = 13.6 x 10^(502) = 1.36 x 10^(503)

Why do you care? In any case, this is not an A-level thread, and you're not really working with an equation -- it's just arithmetic, albeit with fairly large numbers.

I think numbers are awesome and love learning new words as well

 

[fresh_42]

I think numbers are awesome and love learning new words as well

Kurzgesagt, here is a list of "named" numbers:
https://en.wikipedia.org/wiki/List_of_numbers

and if you switch to the German language version of that site you will get them ordered by size:
https://de.wikipedia.org/wiki/Liste_besonderer_Zahlen

 

[Mark44]

Fairly far down in the list of named numbers that fresh_42 linked to, there is a list of numbers that include million, billion, trillion, and so on. The largest one listed there is decillion ($10^{30}$). If numbers larger than that have names, I'm not aware of them, and really, not many people care about them. Instead, the preferred way to do things is to use scientific notation; for example $1.36 \times 10^{503}$.

 

[fresh_42]

There is also a Googol $10^{100}$ and a Googolplex $10^{\left(10^{100}\right)}$ and last but not least Graham's number, that at least occurred somewhere, and of course the up-arrow notation for ridiculously large numbers.

The English page doesn't render properly in my browser, so
https://de.wikipedia.org/wiki/Pfeilschreibweise
does the job, too. One will not need to understand the language. The formulas speak for themselves.

 

[gmax137]

I am trying to figure out a hypothetical number of unimaginable proportions

If you "figure it out" it is not "unimaginable" is it?

 

[pinball1970]

TL;DR Summary: I am trying to figure out a hypothetical number of unimaginable proportions

Kurzesagt in a Nutshell said that the number of possible protein combinations the human body can have is 6.8 x 10^495. I asked GPT to multiple it by 20 million (which is the hypothetical number of possible alien civilizations in the Milky Way galaxy give or take). The chatbot gave me 1.36 x 10^504. Then I asked for the number and it said 136 quattuordecillion. Google gave the benchmark number for 10^500 (which is relatively close) as 100 cenquinsexagintillion which is totally different.
So basically. What is the answer to 1.36 x 10^495 times 20 million and if so, what is the true name of that possible number?
Sorry I know this is math with unimaginable numbers but I did find some websites with Googling that had names for these ridiculous numbers.

Check out all the above. The very large numbers I have looked at are not as interesting as the way they are put together in my humble opinion.
Graham's number a nice example from @fresh_42 and there is also Tree 3. These are upper limits to actual problems. Numberphile went through with Ron Graham himself and also Tree3.

 

[malawi_glenn]

Where is the equation?

 

[Mark44]

Where is the equation?

Many people who are less knowledgeable about mathematics believe that any collection of numbers and/or variables is an equation, whether or not the collection contains an = symbol.

 

[BWV]

isnt the whole point of scientific notation to avoid having to learn stupid names for numbers? After a trillion it becomes pointless. Wish computer science did this, who wants to waste time with this gobbledygook?

The yottabyte is about 1 septillion bytes -- or, as an integer, 1,000,000,000,000,000,000,000,000 bytes. The storage volume is equivalent to a quadrillion gigabytes (GB) or a million trillion megabytes.

just say 10^12 terabytes. No one in physics talks about yottameters or yottagrams, because its just stupid

 

[gmax137]

isnt the whole point of scientific notation to avoid having to learn stupid names for numbers? After a trillion it becomes pointless. Wish computer science did this, who wants to waste time with this gobbledygook?

The yottabyte is about 1 septillion bytes -- or, as an integer, 1,000,000,000,000,000,000,000,000 bytes. The storage volume is equivalent to a quadrillion gigabytes (GB) or a million trillion megabytes.

just say 10^12 terabytes. No one in physics talks about yottameters or yottagrams, because its just stupid

Especially since even the word "billion" doesn't start us off well.

Billion is a word for a large number, and it has two distinct definitions:

1,000,000,000, i.e. one thousand million, or 109 (ten to the ninth power), as defined on the short scale. This is its only current meaning in English.[1][2]
1,000,000,000,000, i.e. one million million, or 1012 (ten to the twelfth power), as defined on the long scale.

This number, which is one thousand times larger than the short scale billion, is now referred to in English as one trillion. However, this number is the historical meaning in English for the word "billion" (with the exception of the United States), a meaning which was still in official use in British English until some time after World War II.

American English adopted the short scale definition from the French (it enjoyed usage in France at the time, alongside the long-scale definition).[3] The United Kingdom used the long scale billion until 1974, when the government officially switched to the short scale, but since the 1950s the short scale had already been increasingly used in technical writing and journalism. [4]

Other countries use the word billion (or words cognate to it) to denote either the long scale or short scale billion. (For details, see Long and short scales § Current usage.)

 

[fresh_42]

just say 10^12 terabytes. No one in physics talks about yottameters or yottagrams, because its just stupid

... btw ... earth has a mass of approximately 6 Rg. That is six ronnagram, or 6,000 yottagram or 0.006 quettagram.

 

[BWV]

... btw ... earth has a mass of approximately 6 Rg. That is six ronnagram, or 6,000 yottagram or 0.006 quettagram.

But there is an upper limit - for example there are not enough letters in the universe to write out the metric prefix for Graham's number

 

[fresh_42]

But there is an upper limit - for example there are not enough letters in the universe to write out the metric prefix for Graham's number

The funny stuff wasn't the absurd size of Graham's number, say G. The brilliant part of @pinball1970 's video was:

We know it can be done in dimension G (which is a ridiculously large number)
but we believe it already can be done in dimension 13.​