This first class contains the smallest of the small numbers.
An incredibly small number, the reciprocal of an incredibly big number. Not surprising.
Coined by Redstonepillager, this is the reciprocal of Lawrence Hollom's largest* defined number. BITG stands for Bewilderingly Incomprehensibly Tiny Googolism.
*this number, however, is unformalized, so his largest number should actually be the nucleaquaxul
A small jump, but the size of the jump is practically equal to the googol-minutia itself! Yes, yes, I know this is another reciprocal, but there's not many small numbers.
This number is very small, but at least we can represent it with actual digits.
Also known as C10, this number is an incredibly simple to make, and very easy to prove transcendental number. Basically, just concatenate every number, and stick a zero-point in front.
Aarex Tiaokhiao says this is a funny number. Sure, why not.
And finally, we reach the big boy himself.
One. The loneliest number, just one of himself.
Another one makes two. Two is a very significant number, as if you plug 2 into practically any function reliant on hyper-operators enough, you'll get 4 out. Even if the first two numbers of a BEAF array are 2, you can already predict that it's 4.
The first double digit number, is significant in many ways. I don't feel like going over all that.
One, two, skip a few, ten, skip a few again...
3 digits now, this is also the square of 10. Powers of ten will be important soon.
And soon is now. This is 10 cubed, and is technically the zero-th illion number. It doesn't get an -illion name though. It's not cool enough.
Couldn't leave out a number from my favorite seximal-using youtuber, jan Misali. This is also the number of seconds in an hour, not by coincidence.
Also known as a myriad. Alright, let's go ahead some more.
The first "actual" illion number, being 1-illion = 10^(3*1+3) = 10^6. Let's go to the 2-illion, next.
If you counted up at a rate of 1 number/second, you'd reach a thousand in 16 minutes and 40 seconds. You'd reach a million in about 11.5 days. But to reach a billion, it'd take you over 31 YEARS! Wow. This number is massive, but still so, so, tiny. Next, please...
Counting to THIS number wouldn't just take 31 YEARS, it'd take 31 centuries! Damn, that's big. Or so you might think. But let's continue.
This number has 20 zeroes, so it's also equal to 10^20. This number is huge, but still pretty small compared to even just the next number.
This can be abbreviated to 10^33. In a decillion years, there will be nearly zero stars left. Even the red dwarfs, which live for AGES, still fall victim to some of the most powerful objects in the universe, black holes.
Here's another massive number, coming right up, served with a side of -illion. Our next number will skip past the -illion system, to let us truly get big.
This might not be the number you're expecting, but I wanted to stop here. The value of this number does not fit into the universe anymore. If you turned this number into a sum of 10^80 1's, and put each 1 into an atom, there wouldn't be enough space to hold all those 1s
WOW! Even many black holes will have decayed after a googol years. This is incomprehensible. You want to see a googol written out? Here you go.
10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
This number was coined by Sbiis Saibian, and it is MASSIVE! This is a googol to the TENTH POWER! (not to be confused with ten to the googolth power, which is MUCH later)
When Sbiis Saibian was "told about this number" by his father, he imagined a giant gong, that when rung, would ring for a googolgong years. I imagine it'd be at a googolgong decibels too. Anyways, this is a googol to the THOUSANDTH power! Holy F##K!
This is a whole other level of huge! A googol is tiny compared to this giant monster of a number! (yes i am foreshadowing for later numbers again :lul:)
Remember the Guppy from a little bit ago? This is his big brother, the Guppyplex. He's MUCH larger, better watch out for him!
This is the plex of the Gogol, as you might be able to tell. Not much more to say here.
Remember the Ogol? It was when we got past the number of atoms in the universe. Now, just the DIGITS of this number couldn't fit into the universe. Incredible. But let's get to one of the most famous big numbers, along with it's younger brother, the Googol...
This number is INSANE! This has a GOOGOL digits! This number is physically incomprehensible. It boggles the mind. (Not a megafugafzgargoogolplex minds, though. Let's leave that to Sam.)
Slapping a -chime onto the googolplex gives us another great number to be feared. I'm getting bored, so I'll just toss some numbers with no explanation
Here's our next huge number with a description. This is a googol-plex-plex! It has a googolplex digits! The digits of the digits of this number can't fit into the universe anymore. Holy SH#T.
I'll skip ahead A LOT now.
This is a googolduplex-plex, or a googol-plex-plex-plex! You can see that n-plex is just doing 10^n.
Let's skip to...
This is a 10-high power-tower of tens, or the tenth tetration of ten. That's a lot of ten!
I'm using the inline technique to represent the FGH, no subscripts to be found here. This represents the start of the tetrational level, being roughly between the Dekalogue and the Googoldeciplex.
This is also equal to 10^10^10^10^10^10^10^10^10^10^10^100. That's just insane!
Remember the dekalogue? This is the Hectalogue, a 100-tall power tower of tens. There will be a pattern that Bowers' numbers are just slightly less than the corresponding Saibianism, as Bowers preferred the number 10 while Saibian preferred 100.
This is what I consider to be Sbiis' first real googolism with Hyper-E notation. He used Hyper-E before, but this is at the point where the power tower would be too large to fit into a small space. There will be a flurry of Saibianisms next.
This fails to build on the grangol, so Saibian chooses to go with...
This builds on the grangol MUCH better, so we have the...
...and then the...
But this sequence has a clear limit. But first, a word from our sponsor, BEAF.
This represents our transition into pentational levels. We'll be going through the operators quickly for some time. Alright, now we get to continue the Hyper-E sequence.
We have reached the Greagol, being a nesting-tower of power towers of 10s, capped by 100 on each one. Truly incredible. But we must continue!
Another number from ol' Jonny B, we're at the hexational level, and then we're at the next Hyper-E number.
I'm not gonna bore you with the details any longer.
We have reached Class-100 numbers on the FGH. Yippee!
We have also gone past the centational level, with 98 up arrows. Centiduation doesn't have a good ring to it, even though it has 100 arrows.
And we have also reached the end of Hyper-E notation, and the beginning of Extended Hyper-E notation!
This is where the first list ends, and where the next begins.