Welcome to ExE ultimate googolism generator!
Version: 26.0 maintenance age 2 | Sbiis Saibian's age: 2 × 3 × 7 = 42
Current status: Still under technical maintenance
Inspired by Sbiis Saibian's ExE generator and ARsygo's ExE googolism generator (further inspired by Denis Maksudov's generator of googologisms for FGH).
Original by Sbiis Saibian, filled/generalized/fixed/extended by DeepLineMadom (me).
Parent site: Pointless Googolplex Stuffs
Related sites: Satanic Infinity Scrapers (inspired by Jonathan Bowers)
Sister sites: More Extensible-E notations
January 1st, 2026: HAPPY NEW YEAR 2026!!!
[v26.0 pre-1] January 4th, 2026: I revamped the version naming system based on Minecraft.
[v26.0 pre-2] January 21st, 2026: Completed the first part of the ultimate ExE recap.
[v26.0 pre-3] January 22nd, 2026: The big update's development is still going. Continued working in the second part of the ultimate ExE recap. From now on, due after the slow site saving progress and potential reconnection issues, contents are now created from the draft first before copying and pasting into the main site, and potentially making the version history logging much easier. I also added the age tracking of Sbiis Saibian on creation the special numbers for every birthdays, starting from his 43th birthday (prime factorization form is used). Sbiis Saibian was born on August 16, 1983. The next expansion of the recap will be done in v26.0 pre-4.
[v26.0 pre-4] January 23rd, 2026: Let's end the ultimate recap before entering the extended cascading-E notation here!
[v26.0 maintenance age] January 27th, 2026: ALERT: This is the time for my computer maintenance! We end the age of Windows 7 as being outdated. Let's take some time for the process to install the new software (since Windows 10) right now! And hopefully, the site will become much more stable and will save much faster than it was before the maintenance.
[v26.0 maintenance age 2] January 28th, 2026: Welcome to Windows 10! This is the first time editing this site since the software update!
I plan to create some extensions of the Extensible-E system by Sbiis Saibian.
Collapsing-E notation (&E) [Predicted FGH ordinal level BHO (ψ0(ε(Ω+1))) [BMS: (0,0)(1,1)(2,2); Y: (1,2,4,7)]] (definition completed, number list in progress)
Extended Collapsing-E notation (x&E) [Predicted FGH ordinal level ψ0(Ω_ω) [BMS: (0,0,0)(1,1,1); Y: (1,2,4,8)]] (in progress)
Hyper-Extended Collapsing-E notation (#x&E) [Predicted FGH ordinal level ψ0(Φ_1(0)), where Φ_1(0) is the least omega fixed point [BMS: (0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0); Y: (1,2,4,8,12,15,9)]] (planned)
Inaccessible Collapsing-E notation (I&E) [Predicted FGH ordinal level (unknown)] (planned)
Comprehensive lists
Legend:
★ (Star) = The milestone number (typically at the terminal point of each regiment or squad). Varies depending on the number list.
✪ (Super-Star) = The big milestone number (typically at the terminal point of each major regiment, super regiment, mega regiment, etc.). Varies depending on the number list.
☆ (Featured Star) = Recommended number. May vary depending on the number list, but all milestones up to tethrathoth (E100#^^#100) are featured numbers.
⍟ (Popular Star) = Widely used in googology community. Do not vary depending on the number list.
✳ (Dictionary Star) = Have a well-established names in dictionary, either they have some definitions related to the googolism or not, depending on the external sources.
✪ (Filled Descriptions) = The number has more than many descriptions. Only used in the complete number list.
✡ (Last and/or Largest Number) = The last or the largest number of a specific category, zone, the ExE notation level, or the set of numbers with that property.
✤ (Old Number) = The number was invented somewhere from 1920 (the year of googol naming) to 1983 (the year of Sbiis Saibian's birth).
✥ (Pioneer Number) = The number was invented somewhere before 1920.
Classifications:
Level 1 = 0 to the limit of the Cascading-E notation [Stage A-B]
Level 2 = Extended Cascading-E notation - Hyper-Extended Cascading-E notation level [Classification A - Stage B]
Level 3 = Collapsing-E notation level [Classification A - Stage B]
Level 4 = Extended Collapsing-E notation level [Classification A - Stage B]
Level 5 = Hyper-Extended Collapsing-E notation level [Classification A - Stage B]
Level 6+ = ?????