Googology Wiki
Don't have an account?
Register
Register
Googology Wiki
Googology Wiki
18,836
pages
in: Numbers, Illion, Class 2,
and 2 more

Changes: Quingentillion

Back to page
Sign in to edit
No edit summary
(26 intermediate revisions by 13 users not shown)
Line 1: Line 1:
−
The '''quingentillion''' is equal to 10<sup>1503</sup>.<ref>[http://www.polytope.net/hedrondude/illion.htm Illion Numbers]</ref>
 +
The '''quingentillion''' is equal to 10<sup>1,503</sup> in [[short scale]].<ref>[http://www.polytope.net/hedrondude/illion.htm Illion Numbers by Jonathan Bowers]</ref> This number is also equal to 10<sup>3,000</sup> in the [[long scale]] of naming [[zillion]]s, accepted in French and Germany.
   
  +
== Decimal expansion ==
−
===Number Navigator===
  
  +
Written out in decimal form quingentillion (in the short scale) is:
−
{{numnav|quadringentillion|sescentillion}}
  
   
  +
{{digits|1000{{500 zeros}}{{1000 zeros}}}}
⚫
=== Sources ===
  
  +
  +
In long scale:
  +
  +
{{digits|1{{1000 zeros}}{{1000 zeros}}{{1000 zeros}}}}
  +
  +
==Approximations==
  +
For short scale:
  +
{| border="0" cellpadding="1" cellspacing="1" class="article-table"
  +
|-
  +
! scope="col"|Notation
  +
! scope="col"|Lower bound
  +
! scope="col"|Upper bound
  +
|-
  +
|[[Scientific notation]]
  +
|colspan="2" align="center"|\(1\times10^{1503}\)
  +
|-
  +
|[[Arrow notation]]
  +
|colspan="2" align="center"|\(10\uparrow1503\)
  +
|-
  +
|[[Steinhaus-Moser Notation]]
  +
|548[3]
  +
|549[3]
  +
|-
  +
|[[Copy notation]]
  +
|9[1503]
  +
|10[752]
  +
|-
  +
|[[Chained arrow notation]]
  +
|colspan="2" align="center"|\(10\rightarrow1503\)
  +
|-
  +
|[[Taro's multivariable Ackermann function]]
  +
|A(3,4989)
  +
|A(3,4990)
  +
|-
  +
|[[Pound-Star Notation]]
  +
|#*((2857))*22
  +
|#*((2858))*22
  +
|-
  +
|[[PlantStar's Debut Notation]]
  +
|[893]
  +
|[894]
  +
|-
  +
|[[BEAF]] & [[Bird's array notation]]
  +
|colspan="2" align="center"|{10,1503}
  +
|-
  +
|[[Hyper-E notation]]
  +
|colspan="2" align="center"|E1503
  +
|-
  +
|[[Bashicu matrix system]]
  +
|(0)(1)[3]
  +
|(0)(1)[4]
  +
|-
  +
|[[Hyperfactorial array notation]]
  +
|634!
  +
|635!
  +
|-
  +
|[[Strong array notation]]
  +
|colspan="2" align="center"|s(10,1503)
  +
|-
  +
|[[Fast-growing hierarchy]]
  +
|\(f_2(4\,980)\)
  +
|\(f_2(4\,981)\)
  +
|-
  +
|[[Hardy hierarchy]]
  +
|\(H_{\omega^2}(4\,980)\)
  +
|\(H_{\omega^2}(4\,981)\)
  +
|-
  +
|[[Slow-growing hierarchy]]
  +
|colspan="2" align="center"|\(g_{\omega^{\omega^3+\omega^{2}5+3}}(10)\)
  +
|}
  +
For long scale:
  +
{| border="0" cellpadding="1" cellspacing="1" class="article-table"
  +
|-
  +
! scope="col"|Notation
  +
! scope="col"|Lower bound
  +
! scope="col"|Upper bound
  +
|-
  +
|[[Scientific notation]]
  +
|colspan="2" align="center"|\(1\times10^{3000}\)
  +
|-
  +
|[[Arrow notation]]
  +
|colspan="2" align="center"|\(10\uparrow3000\)
  +
|-
  +
|[[Steinhaus-Moser Notation]]
  +
|colspan="2" align="center"|1000[3]
  +
|-
  +
|[[Copy notation]]
  +
|9[3000]
  +
|1[3001]
  +
|-
  +
|[[Chained arrow notation]]
  +
|colspan="2" align="center"|\(10\rightarrow3000\)
  +
|-
  +
|[[Taro's multivariable Ackermann function]]
  +
|A(3,9962)
  +
|A(3,9963)
  +
|-
  +
|[[Pound-Star Notation]]
  +
|#*((2388))*30
  +
|#*((2389))*30
  +
|-
  +
|[[PlantStar's Debut Notation]]
  +
|[1784]
  +
|[1785]
  +
|-
  +
|[[BEAF]] & [[Bird's array notation]]
  +
|colspan="2" align="center"|{10,3000}
  +
|-
  +
|[[Hyper-E notation]]
  +
|colspan="2" align="center"|E3000
  +
|-
  +
|[[Bashicu matrix system]]
  +
|(0)(1)[3]
  +
|(0)(1)[4]
  +
|-
  +
|[[Hyperfactorial array notation]]
  +
|1142!
  +
|1143!
  +
|-
  +
|[[Fast-growing hierarchy]]
  +
|\(f_2(9952)\)
  +
|\(f_2(9953)\)
  +
|-
  +
|[[Hardy hierarchy]]
  +
|\(H_{\omega^2}(9952)\)
  +
|\(H_{\omega^2}(9953)\)
  +
|-
  +
|[[Slow-growing hierarchy]]
  +
|colspan="2" align="center"|\(g_{\omega^{\omega^33}}(10)\)
  +
|}
  +
  ⚫
== Sources ==
 
<references />
  
<references />
   
−
=== See also ===
 +
== See also ==
 
{{illion}}
  
{{illion}}
 
[[Category:Numbers]]
  
[[Category:Numbers]]
⚫
[[Category:Class 2]]
  
 
[[Category:Illion]]
  
[[Category:Illion]]
  ⚫
[[Category:Class 2]]
  +
[[Category:Numbers with 1000 to 1000000 digits]]
  +
[[Category:Tier 1 -illion numbers]]

Revision as of 04:42, 28 March 2020

The quingentillion is equal to 101,503 in short scale.[1] This number is also equal to 103,000 in the long scale of naming zillions, accepted in French and Germany.

Decimal expansion

Written out in decimal form quingentillion (in the short scale) is:

1000Template:500 zeros0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}

In long scale:

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}

0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}} 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}

Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{1503}\)
Arrow notation \(10\uparrow1503\)
Steinhaus-Moser Notation 548[3] 549[3]
Copy notation 9[1503] 10[752]
Chained arrow notation \(10\rightarrow1503\)
Taro's multivariable Ackermann function A(3,4989) A(3,4990)
Pound-Star Notation #*((2857))*22 #*((2858))*22
PlantStar's Debut Notation [893] [894]
BEAF & Bird's array notation {10,1503}
Hyper-E notation E1503
Bashicu matrix system (0)(1)[3] (0)(1)[4]
Hyperfactorial array notation 634! 635!
Strong array notation s(10,1503)
Fast-growing hierarchy \(f_2(4\,980)\) \(f_2(4\,981)\)
Hardy hierarchy \(H_{\omega^2}(4\,980)\) \(H_{\omega^2}(4\,981)\)
Slow-growing hierarchy \(g_{\omega^{\omega^3+\omega^{2}5+3}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{3000}\)
Arrow notation \(10\uparrow3000\)
Steinhaus-Moser Notation 1000[3]
Copy notation 9[3000] 1[3001]
Chained arrow notation \(10\rightarrow3000\)
Taro's multivariable Ackermann function A(3,9962) A(3,9963)
Pound-Star Notation #*((2388))*30 #*((2389))*30
PlantStar's Debut Notation [1784] [1785]
BEAF & Bird's array notation {10,3000}
Hyper-E notation E3000
Bashicu matrix system (0)(1)[3] (0)(1)[4]
Hyperfactorial array notation 1142! 1143!
Fast-growing hierarchy \(f_2(9952)\) \(f_2(9953)\)
Hardy hierarchy \(H_{\omega^2}(9952)\) \(H_{\omega^2}(9953)\)
Slow-growing hierarchy \(g_{\omega^{\omega^33}}(10)\)

Sources

  1. ↑ Illion Numbers by Jonathan Bowers

See also

Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non
10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
40–49: quadragintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · septingent · octingent · nongent
1,000–1024: millillion · dumill · dumillinonagintanongent · trimill · trimilliduotrigintatrecent · trimillisexoctogintaoctingent · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · decimilliquinsexagintasescent · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct
Community content is available under CC-BY-SA unless otherwise noted.