"A source is always necessary if you want to create a page in the Googology Wiki. That's why you should make your own website using Google Sites."
"I actually like real googology more than fictional googology since the numbers in real googology actually make sense. If you don't like things that doesn't make sense and/or unreal, please go elsewhere."
"Unless I want to make a major overhaul on this website, version 9.0.0.0 is not coming anytime soon."
"This website is now 3 years old, but I'm sad to say that I have to be on a long hiatus."
Welcome to my googology website! For people who are dedicated to googology, large numbers and fast-growing functions. This website is for my googological notations and all of my defined numbers by HaydenTheGoogologist2009.
Note: Not everything in this site is made by me, I'll link to other sites (or Googology Wiki depending on the page) if it isn't owned by me.
Version: 8.10.2.2 (a)
Last updated: Saturday, 20th September, 2025 10:31 PM (GMT+8)
Current status: On hiatus
Motivation: 50%
Quit SG (Standard Googology) bar: Negative Absolute Infinity%
Quit FG (Fictional Googology) bar: Negative Infinituum Continuum%
Website deletion bar: Negative The End of Numbers%
Inactive mode: On
Please note: Minor edits are not included. Also, this page only shows last 10 updates.
1st May, 2025: (v8.10.2.2 (a)) This is my first update in 2025. I'm very sorry for being inactive for many months because I'm way to busy with schoolwork. Now, I think I should be on hiatus. By the way, Happy May Day and Labor Day!
15th September, 2024: (v8.10.2.2) Yesterday, I was promoted to be a content moderator of the Googology Wiki!
14th September, 2024: (v8.10.2.1) Updated Jesse Kohn's website's URL. Thank you Jesse Kohn for pointing it out for me in this post. Also, I want to say, "I’m sorry, but I’m too busy with my schoolwork these days. That’s why I don’t have time to change the URL. I also apologise for my carelessness. I should have checked my site more carefully, in order to prevent any confusion by anyone."
24th August, 2024: (v8.10.2.0) Added links that are about BB(5) [FF(5)] and some other links in Others.
15th August, 2024: (v8.10.1.0) 2 links added in Others.
12th August, 2024: (v8.10.0.0) I'm going to create my own series based on Sam's Number, inspired by W. A. Mozart's “Twelve Variations on 'Ah vous dirai-je, Maman'", where there will be 12 variations on My Version of Sam's Number.
11th August, 2024: (v8.9.0.0) I'm so hungry right now... Let's coin some numbers in My food based numbers!
10th August, 2024: (v8.8.1.0) Unfortunately, I abandoned HOCF with the statement "This OCF is never going to be finished. And even though it will, it won't work properly at all."
3rd August, 2024: (v8.8.0.0 (b)) Since I'm back from my vacation, inactive mode is now off and I'll be active again!
31st July, 2024: (v8.8.0.0 (a)) Inactive mode is now on because I'll be on vacation starting tomorrow until 3rd August, 2024.
Check out all updates here.
I'm HaydenTheGoogologist2009. My real name is Hayden Leung. I'm a boy who likes googology stuff and big numbers!
I also like to explore fast-growing functions and play games that have big numbers in it.
I'm both a Standard Googologist (SG-ist) and a Fictional Googologist (FG-ist).
On 14th September, 2024, I was promoted to be a content moderator of the Googology Wiki!
Version Numbers - In this page, I'll explain what does the 4 (sometimes 5) different numbers for my site's version number mean.
Aims and Values - A page that lists my aims and values in the Googology Wiki and for myself.
Holiday numbers - These are my numbers created based on the holidays.
Chinese New Year Numbers - Happy Chinese New Year! I'm going to coin 11 Hong Kong street food numbers (all of them are salad numbers) every year!
Birthday numbers 2023 (completed) - It's my 14th Birthday! I'm going to create a list of numbers to celebrate my Birthday!
Saint Patrick's Day numbers - Happy Saint Patrick's Day! I'm going to coin 5 Saint Patrick's Day food numbers every year!
Cinco de Mayo numbers - Happy Cinco de Mayo! I'm going to coin 5 Mexican food numbers every year!
Tuen Ng Festival Numbers - Happy Tuen Ng Festival! I'm going to coin 5 festival-related numbers every year!
Mid-Autumn Festival numbers - Happy Mid-Autumn Festival! I'm going to coin 5 festival-related numbers every year!
For beginners - I found a bunch of documents for beginners. If you want to learn big numbers, why don't you start googology today?
Hayden's Big Numbers - A grand list of numbers using almost all notations in the googology wiki.
List of my prefixes (completed) - A list of my prefixes from 1 to 10^2,979.
Meet yourself in 105 degrees Celsius (completed) - How would you feel when you meet yourself at 105 degrees?
The Crystallization of Googology Wiki (completed) - I made this series to revive Redstonepillager's "Googology Wiki 15th anniversary special series" in a different way, as the series has been abandoned and deleted with reason "deleting the series after Christmas 2023 because the last few numbers of the series should be legitimately added until the Christmas Day in order to finalize the entire series which is a pure joke and is completely insincere, as well as numerous issues; however, the numbers will be kept and transferred to another page".
My Ember Arena numbers (completed) - I'll extend Sebastian Gomez05's Ember Arena with these numbers.
Scientific constants (completed) - Here is the list of common scientific constants for your reference, mostly from Physics or Chemistry.
Fibonacci sequence array numbers (completed) - I think I'll coin some numbers in the Fibonacci sequence, using BEAF.
Cookies Inc. -illion numbers - Since the -illion numbers in the game “Cookies Inc.” are different from the official -illion names, I’ll compare them in the document inside.
My food based numbers (completed) - I think you guys might feel hungry now! :)
Numbers by ChatGPT (completed) - Nowadays, ChatGPT is used everywhere in real life. But what about Googology? Today, I'll coin 20 numbers, which names are generated by ChatGPT!
My infused numbers (completed) - Plugging the numbers into different notations! Insane, right?
My tier 10 -illion numbers (completed) - We've broke the limits of tier 4 -illions, time to go beyond!
Heaven and hell numbers (completed) - I'm going to coin some numbers, based on the heaven and the hell.
Four seasons numbers (completed) - A number that will change definitions between seasons.
Goobol series (completed) - These are 'naive extensions' of the number goobol by putting Saibian's suffixes.
The number with the longest name ever in the entire everything ever (completed) - I'm now going to make a number again, and its name will be the longest in the entire everything ever.
My dynamic googolisms (completed) - My numbers that grows over time.
BAN and SAN numbers (completed) - A long list for my BAN and SAN numbers.
Popacthulhum regiment (abandoned) - Similar to Saibian's regiments, but using the dynamic googolism popacthulhum. Abandoned on 19th September, 2022 because I think it's going to take forever to complete the whole regiment.
My uncomputable numbers (completed) - I coined some numbers based on oblivion, because of that, they are ill-defined because they are not formalized.
霽霄's functions and numbers (completed) - This is a list of functions and numbers defined by 小魚七. Note that this page contains Chinese. All functions are ill-defined!
Hayden's Array Notation (abandoned) - My oldest array notation created on 12th April, 2022. The limit is approximated to ε0 in the fast-growing hierarchy. Abandoned on 15th September, 2022 because I created this notation when I was too immature.
Hayden's Extended Array Notation (abandoned) - An extension of Hayden's Array Notation created on 20th April, 2022. The limit is approximated to ϑ(ε(Ω + 1)) using Weiermann's ϑ in the fast-growing hierarchy. Abandoned on 15th September, 2022 because I created this notation when I was too immature.
Almighty Array Notation (abandoned) - My array notation created on 21st July, 2022. Abandoned on October 23th, 2023 with the statement "This notation is a chaos, and I don't think it's possible to fix the entire notation. I should probably take a break from making notations..."
Periodic Table Notation (completed) - Created on 4th October, 2022. I decided to define the notation based on the periodic table, which is ordered according to the atomic number.
Megafactorial (completed) - Created on 2nd September, 2023. I've created a brand-new factorial-based function!
These are my experimental works. They're most likely ill-defined as these works are very dumb. Some of them are created just for a 'joke'.
Memer Array Notation (completed) - Created on 1st April, 2023 for an April Fools prank. The dumbest notation I've ever made.
These are my opinions and comments on some of the videos related to standard googology.
Comment on Busy Beaver (5) = 47,176,870 (completed) - I've seen this video about BB(5) = 47,176,870, but this statement is actually wrong and was confused by many people. Here's my comment on this video.
My Version of Sam's Number (completed) - Even though DeepLineMadom pointed out that Sam's number is not considered to be a defined number at all, I still want to explain my version of Sam's number just for a 'joke' for you guys.
Twelve Variations on “Sam’s Number” (completed) - I'm going to create my own series based on Sam's Number, inspired by W. A. Mozart's “Twelve Variations on 'Ah vous dirai-je, Maman'", where there will be 12 variations on My Version of Sam's Number.
My Googological Ruler (completed) - I've made a googological ruler, a tool to compare big (both computable and uncomputable) numbers.
Analyses - I analysed some of the numbers and notations in the documents inside.
Fixing Username5243's Array Notation (completed) - I decided to fix the ill-definedness of the UNAN since all 3 alternative definitions are all ill-defined. Unfortunately, DeepLineMadom pointed out that the fourth alternative (my) definition of UNAN proposed by me has some 'subtle problems'.
The Longest S.N.T.A.G.U.O.M.S.E.M.G.E Chain Ever (completed) - I've created the longest S.N.T.A.G.U.O.M.S.E.M.G.E chain ever, combining the spam words in some videos in the numbers 0 to ??? series.
Number Goal Progression in History (completed) - To celebrate the 2 year anniversary of "Numbers 0 to 𝗔𝗕𝗦𝗢𝗟𝗨𝗧𝗘𝗟𝗬 𝗘𝗩𝗘𝗥𝗬𝗧𝗛𝗜𝗡𝗚 !!!", I've made the history of the famous number goals in the Fictional Googology based on when they were found.
The “X of FG” Scale - In this page, I'll list the ordinals / eterikals / orkinals for the "X of FG" Scale in the Numbers 0 to TEON Series.
FG Community Related - These pages are not related to fictional googology itself, but the FG community!
My Thoughts on the Fictional Googology (completed) - As the FG (Fictional Googology) community is dying, I'll explain my thoughts on the Fictional Googology.
**DISCLAIMER: I actually like real googology more than fictional googology since the numbers in real googology actually make sense. If you don't like things that doesn't make sense and/or unreal, please don't click into the links above!**
These pages are not related to googology itself, but the Googology Wiki!
About Reliving C7X from an Admin (completed) - We held the admin election relieving C7X, I agree with the admin relieval before the admin election is holding by January 14, 2023. And I'm going to explain why.
Proposal for Modification of Policy in Googology Wiki:Policy#Analysis (completed) - We're currently holding the voting which decides that whether we should modify the policy in Googology Wiki:Policy#Analysis. In my decision, I agree to all 3 statements, but I have 2 questions.
Proposal for Reducing Minimum Block Span for the Warning Rule from 50 Years (completed) - We're currently holding the voting which decides that whether we should reduce the minimum block span for the warning rule from 50 years. In my decision, I agree to do so.
These pages are not related to googology at all.
Games - I've made a game on Scratch in 2021. Here it is!
Music - I've made my own remix in 2022, using some of my favourite songs / pieces.
Hayden's Extension of DeepLineMadom's extension of the extended Buchholz's function (abandoned) - Time to extend the extended Buchholz's function to the unknowns! Abandoned on August 10th, 2024 with the statement "This OCF is never going to be finished. And even though it will, it won't work properly at all."
Source: https://docs.google.com/spreadsheets/d/1UrLkiNEGbOZqU-AfWF_LTT-LfvdV8i4KlF8-dGWpJN4/edit?usp=sharing