Bowers' illion system
The system involving Bowers' illions[1] is an unofficial extended number system of illions past the basic Latin based ones such as millillion. It principally started around the early 2000's when numerologist Jonathan Bowers had a desire of making the illion system larger than what was known. His official part had numbers that even googolplexian lacked in comparison, with additions by others at even higher levels or by completion like Sbiis Saibian.[1][2]
Structure
Bowers placed his numbers in specific illion categories named "Tiers" in which each have a special equation. Tiers are principally modeled off the 10 base exponents from the top, unless if the number is 1000th or over of that tier it would officially go in the tier above. Bowers assigned the classic Latin based system to be in Tier 1, and after millillion, the 1000th would be the uprising of Tier 2 as number one.[3]
Numbers
| Illion Number | Name | Quantity (short scale) | Etymology |
|---|---|---|---|
| 4/3 (10,000 Tier 1) | Myrillion | 1030,003 | myr(ia)illion |
| 5/3 (100,000 Tier 1) | Centimillillion | 10300,003 | centi+millillion |
| 2 | Micrillion | 103,000,003 | micr(o)illion |
| 3 | Nanillion | 103,000,000,003 | nan(o)illion |
| 4 | Picillion | 103,000,000,000,003 | pic(o)illion |
| 5 | Femtillion | 103*1015+3 | femt(o)illion |
| 6 | Attillion | 103*1018+3 | att(o)illion |
| 7 | Zeptillion | 103*1021+3 | zept(o)illion |
| 8 | Yoctillion | 103*1024+3 | yoct(o)illion |
| 9 | Xonillion | 103*1027+3 | Extended prefix xono and illion |
| 10 | Vecillion | 103*1030+3 | Extended prefix weco initialized by Bowers with a "v" and illion |
| 11 | Mecillion | 103*1033+3 | - |
| 12 | Duecillion | 103*1036+3 | - |
| 13 | Trecillion | 103*1039+3 | - |
| 14 | Tetrecillion | 103*1042+3 | - |
| 15 | Pentecillion | 103*1045+3 | - |
| 16 | Hexecillion | 103*1048+3 | - |
| 17 | Heptecillion | 103*1051+3 | - |
| 18 | Octecillion | 103*1054+3 | - |
| 19 | Ennecillion | 103*1057+3 | - |
| 20 | Icosillion | 103*1060+3 | Originally in Russ Rowlett's Greek naming for zillions, from "icosa-".[4] |
| 21 | Meicosillion | 103*1063+3 | - |
| 22 | Dueicosillion | 103*1066+3 | - |
| 23 | Trioicosillion | 103*1069+3 | - |
| 24 | Tetreicosillion | 103*1072+3 | - |
| 25 | Penteicosillion | 103*1075+3 | - |
| 26 | Hexeicosillion | 103*1078+3 | - |
| 27 | Hepteicosillion | 103*1081+3 | - |
| 28 | Octeicosillion | 103*1084+3 | - |
| 29 | Enneicosillion | 103*1087+3 | - |
| 30 | Triacontillion | 103*1090+3 | Originally in Russ Rowlett's Greek naming for zillions, from "triaconta-". |
| 40 | Tetracontillion | 103*10120+3 | Originally in Russ Rowlett's Greek naming for zillions, from "tetraconta-". |
| 50 | Pentacontillion | 103*10150+3 | Originally in Russ Rowlett's Greek naming for zillions, from "pentaconta-". |
| 60 | Hexacontillion | 103*10180+3 | Originally in Russ Rowlett's Greek naming for zillions, from "hexaconta-". |
| 70 | Heptacontillion | 103*10210+3 | Originally in Russ Rowlett's Greek naming for zillions, from "heptaconta-". |
| 80 | Octacontillion | 103*10240+3 | Originally in Russ Rowlett's Greek naming for zillions, from "octaconta-". |
| 90 | Ennacontillion | 103*10270+3 | Originally in Russ Rowlett's Greek naming for zillions, from "ennaconta-". |
| 100 | Hectillion | 103*10300+3 | Originally in Russ Rowlett's Greek naming for zillions, from "hecto-". |
| 200 | Dohectillion | 103*10600+3 | - |
| 300 | Triahectillion | 103*10900+3 | - |
| 400 | Tetrahectillion | 103*101,200+3 | - |
| 500 | Pentahectillion | 103*101,500+3 | - |
| 600 | Hexahectillion | 103*101,800+3 | - |
| 700 | Heptahectillion | 103*102,100+3 | - |
| 800 | Octahectillion | 103*102,400+3 | - |
| 900 | Ennahectillion | 103*102,700+3 | - |
| 1,000 | Killillion | 103*103,000+3 | kil(o)illion. |
Start of Tier 3.
| Illion Number | Name | Quantity (short scale) | Etymology |
|---|---|---|---|
| 4/3 (10,000 Tier 2) | Vecekillillion | 103*1030,000+3 | - |
| 5/3 (100,000 Tier 3) | Hectekilllillion | 103*10300,000+3 | - |
| 2 | Megillion | 103*103,000,000+3 | meg(a)illion |
| 3 | Gigillion | 103*103,000,000,000+3 | gig(a)illion |
| 4 | Terillion | 103*103,000,000,000,000+3 | ter(a)illion |
| 5 | Petilion | 103*103*1015+3 | pet(a)illion |
| 6 | Exillion | 103*103*1018+3 | ex(a)illion |
| 7 | Zettillion | 103*103*1021+3 | zett(a)illion |
| 8 | Yottillion | 103*103*1024+3 | yott(a)illion |
| 9 | Xennillion | 103*103*1027+3 | Extended prefix xenna and illion |
| 10 | Dakillion | 103*103*1030+3 | - |
| 11 | Hendillion | 103*103*1033+3 | - |
| 12 | Dokillion | 103*103*1036+3 | - |
| 13 | Tradakillion | 103*103*1039+3 | - |
| 14 | Tedakillion | 103*103*1042+3 | - |
| 15 | Pedakillion | 103*103*1045+3 | - |
| 16 | Exdakillion | 103*103*1048+3 | - |
| 17 | Zedakillion | 103*103*1051+3 | - |
| 18 | Yodakillion | 103*103*1054+3 | - |
| 19 | Nedakillion | 103*103*1057+3 | - |
| 20 | Ikillion | 103*103*1060+3 | - |
| 21 | Ikenillion | 103*103*1063+3 | - |
| 22 | Icodillion | 103*103*1066+3 | - |
| 23 | Ictrillion | 103*103*1069+3 | - |
| 24 | Icterillion | 103*103*1072+3 | - |
| 25 | Icpetillion | 103*103*1075+3 | - |
| 26 | Ikectillion | 103*103*1078+3 | - |
| 27 | Iczetillion | 103*103*1081+3 | - |
| 28 | Ikyotillion | 103*103*1084+3 | - |
| 29 | Icxenillion | 103*103*1087+3 | - |
| 30 | Trakillion | 103*103*1090+3 | - |
| 40 | Tekillion | 103*103*10120+3 | - |
| 50 | Pekillion | 103*103*10150+3 | - |
| 60 | Exakillion | 103*103*10180+3 | - |
| 70 | Zakillion | 103*103*10210+3 | - |
| 80 | Yokillion | 103*103*10240+3 | - |
| 90 | Nekillion | 103*103*10270+3 | - |
| 100 | Hotillion | 103*103*10300+3 | - |
| 200 | Botillion | 103*103*10600+3 | - |
| 300 | Trotillion | 103*103*10900+3 | - |
| 400 | Totillion | 103*103*101,200+3 | - |
| 500 | Potillion | 103*103*101,500+3 | - |
| 600 | Exotillion | 103*103*101,800+3 | - |
| 700 | Zotillion | 103*103*102,100+3 | - |
| 800 | Yootillion | 103*103*102,400+3 | - |
| 900 | Notillion | 103*103*102,700+3 | - |
| 1,000 | Kalillion | 103*103*103,000+3 | - |
Start of Tier 4.
| Illion Number | Name | Quantity (short scale) | Etymology |
|---|---|---|---|
| 4/3 (10,000 Tier 3) | Dakalillion | 103*103*1030,000+3 | dak(illion)+(k)alillion |
| 5/3 (100,000 Tier 3) | Hotalillion | 103*103*10300,000+3 | hot(illion)+(k)alillion |
| 2 | Mejillion | 103*103*103,000,000+3 | megillion with a "j" |
| 3 | Gijillion | 103*103*103,000,000,000+3 | gigillion with a "j" |
| 4 | Astillion | 103*103*103,000,000,000,000+3 | asteroid |
| 5 | Lunilion | 103*103*103*1015+3 | luna |
| 6 | Fermillion | 103*103*103*1018+3 | terra firma |
| 7 | Jovillion | 103*103*103*1021+3 | Jupiter |
| 8 | Solillion | 103*103*103*1024+3 | the Sun |
| 9 | Betillion | 103*103*103*1027+3 | Betelgeuse |
| 10 | Glocillion | 103*103*103*1030+3 | glowing nebula |
| 11 | Gaxillion | 103*103*103*1033+3 | galaxy, not to be confused with gazillion. |
| 12 | Supillion | 103*103*103*1036+3 | supercluster |
| 13 | Versillion | 103*103*103*1039+3 | universe |
| 14 | Multillion | 103*103*103*1042+3 | multiverse |
Functions
Bowers also introduced many combinations. For example, the Tier 2 ones seen connecting icosillion (the twenties) can be also used in the other tens as well. Examples are triopentacontillion (53), or hepteoctacontillion (87). To connect the ones/tens to the hundred, Saibian connoted that from 110 to 199, remove the "illion" from 10 to 99 and add "e" with hectillion (as with vecehectillion). The thousands has a multiplication system with the same vowel that starts back at two (two thousand being micrekillillion from micrillion and killillion).
- Enneennaconteennahectillion (999), enne(9)+ennaconte(90)+ennahectillion(900)
- Femtekillillion (5,000)
In Tier 3, the same can be seen. The endings connecting the twenties to ones vary from 'c' to 'k' due to pronunciation conflicts. By continuing the pattern, 53 would be pectrillion, with 87 being yoczetillion. A rule comes in place with hotillion, since there is no "k". The same pattern is continued with the "t" omitted: hotenillion, hotodillion, hotrillion. It is merely an exception that the "t" would still be in place for the hundred connecting to one/tens with vowel initial letters.
- Nonecxenillion (999)
- Palillion (5,000)
The Tier 3 thousands continues the initial rhyming pattern seen in the hundreds: kalillion, dalillion (2,000), tralillion (3,000), talillion (4,000), palillion (5,000), exalillion (6,000) etc. The only exception is dalillion. From dakalillion provides a multiplying thousands base by removing the "illion" from 10 to 999 and adding via the removal the first letter of the main suffix. Bowers' in early Tier 4 moved from alterations of previous illions to astronomical scales. He had ran out of ideas of conception beyond the multiverse, which had caused the limit of his system. Even though yootillion is not consistent with the rhyming, it is double o to mitigate the same pronunciation with yottillion.
Vowels
There are vowels to connect one number to another in Bowers' system to get certain quantities. In the original Latin based system, milli was a thousands base in which Bowers borrowed. To get the 1,001st Tier 1, to the right of the new comma resets to the very first illion with the new milli base - millimillion, which is 103,006 in short scale. Bowers mysteriously calls in some sources milli-untillion. Bowers introduced a new millions base "micro", and "nano", "pico", "femto" coming next has caused the "o" to be the vowel of the Tier 1 comma connector. Tier 2 introduces "a", first seen in thousand first killamillillion. Since "o" was already in use in the previous tier, Bowers had to find another vowel to prevent the same names from having two different quantities. Bowers found the "mega" in megillion which had created the "a". The Tier 3 comma connector is "i", first seen in its thousand first kalikillillion, sometimes referred as kalenillion. Because of this, no vowel can be connected to a number in a tier under its ones, tens, hundreds, etc.[5]
Controversy
Some portions of Bowers' system conflict with the basic Latin system. The largest being the fact that Bowers' has "i" written for all the tens to hundreds combinations, which was not consistent with the system based on raw Latin numerals . This is because of Bowers assuming all the tens end in "i" after seeing deci and viginti. So one may replace Bowers' "quinquaginticentillion" with quinquagintacentillion from the original system. Several have tried to replace Bowers' Tier 1 section with the original (via connectors as well). The thousands conflict as well, with the original system using quadrimillillion, with him quattuormillillion. As a result, 4,114 in his system would be quattuormilliquattuordecicentillion, and not the most recognizable quadrimilliquattuordecicentillion.
| Number | Original | Bowers |
|---|---|---|
| 2,000 | Dumillillion | Duomillillion |
| 3,000 | Trimillillion | Tremillillion |
| 4,000 | Quadrimillillion | Quattuormillillion |
| 5,000 | Quinmillillion | Quinmillillion |
| 6,000 | Sexmillillion | Sexmillillion |
| 7,000 | Septimillillion | Septenmillillion |
| 8,000 | Octimillillion | Octomillillion |
| 9,000 | Nonimillillion | Novemmillillion |
Tier 4
Many have tried to develop their own systems past multillion. The first was Cloudy176 who was the owner of the Googology Fan Wiki. He had basic improvised illions up to the beginning of Tier 11. Extended would be pyrillion (15), guntillion (16), kentrillion (17), onlillion (18), paptrillion (19), and housillion (20)[6]. The tens after were trongillion (30), batillion (40) and handrillion (50). Hundreds were janillion with thousands febrillion. The further the illions went, the less assorted they were. Tier 10 had illions like hoogrgtroootroorotrtooortooillion and abcdefghijklmnopqrstuvwxyzillion[7]. The only report with Cloudy176's system was the consistence of the etyomologies, with pyrillion originating from pyrite. It is the system regarded by most web pages. Others had their systems as well. Various users such as Nirvana Supermind did try to continue the scale pattern using fan terms from speculative pages of what was beyond the multiverse. Nirvana Supermind's system ending on Googology Wiki first had caused major controversy suggesting to either have the Cloudy176 system or have both[8].
With the extensions, there is no confirmed limit to Bowers' system. By 2021, a Fandom user by the name of Trakaplex has been coining arbitrary large numerals. He introduced "schmittyillion", so large that it was briefly ill-defined. It was to be in the googolth tier. In tier googolillion he introduced "inphixillion", and another in the tier of a Tier 4 illion named "helpsopiaisflirtingmeillion", in which both were large enough to feature up arrow notation. Recently, he coined "schmittypleasehelpmeillion[9]" in Bachmann's collapsing level, which even made Graham's number rather miniscule.
References
- ↑ Jump up to: 1.0 1.1 Bowers, Jonathan. "Illion Numbers". polytope.net. Jonathan Bowers. Retrieved Aug 15, 2021.
- ↑ Bowers, Jonathan. "2.4.8 - Bowers' -illions". Google pages. Sbiis Saibian. Retrieved Aug 15, 2021.
- ↑ "Illion Numbers (part 3)". Infinity Comparisons. Retrieved 15 August 2021.
- ↑ Saibian, Sbiis. "2.4.7 - Russ Rowlett's Greek Based -illions". Google sites. Russ Rowlett. Retrieved Aug 15, 2021.
- ↑ Bowera, Jonathan. "1.8. Extensions to the -illions II: Jonathan Bowers' -illions". Google sites. Retrieved 15 August 2021.
- ↑ "List of Illion Numbers". site-stats.org. Retrieved 15 August 2021.
- ↑ "faketest/p2". Blogspot. Cloudy176. Retrieved 15 August 2021.
- ↑ "New to this wiki". Massive Numbers on Fandom. Nirvana Supermind replying to Trakaplex. Retrieved 15 August 2021.
- ↑ Hartson, Jaden. "Got you all!". googology.wikia.org. Trakaplex. Retrieved 15 August 2021.
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