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− | A '''dumillillion''' or '''duomillillion''' is equal to \(10^{ |
+ | A '''dumillillion''' or '''duomillillion''' or '''millilliardilliardplex'''<ref>http://users.skynet.be/nizgorur/very_big_numbers.htm</ref> is equal to \(10^{6,003}\) in the [[short scale]], and \(10^{12,000}\) in the [[long scale]].<ref>[http://verylargenumbers.blogspot.com/2010/01/list-of-large-numbers.html Very Large Numbers: A list of large numbers]</ref> |
+ | It is equal to 1 followed by 6,003 zeros. It is 6,004 digits long. |
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⚫ | |||
+ | |||
+ | Dumillillion is also known as '''billillion''' or '''billinillion''' according to Landon Curt Noll's [http://www.isthe.com/cgi-bin/chongo/number.cgi The English name of a number]. |
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+ | |||
+ | Duomillillion is also known as "one duomilliatillion" according to Landon Curt Noll's [http://www.isthe.com/cgi-bin/chongo/number.cgi The English name of a number]. |
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+ | |||
+ | Written out in decimal form dumillillion (in the short scale) is: |
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+ | |||
+ | {{digits|1{{repeat|0|6003}}}} |
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+ | |||
+ | In long scale: |
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+ | |||
+ | {{digits|1{{repeat|0|12000}}}} |
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+ | |||
+ | ==Approximations== |
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+ | For short scale: |
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+ | {| border="0" cellpadding="1" cellspacing="1" class="article-table" |
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+ | |- |
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+ | ! scope="col"|Notation |
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+ | ! scope="col"|Lower bound |
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+ | ! scope="col"|Upper bound |
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+ | |- |
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+ | |[[Scientific notation]] |
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+ | |colspan="2" align="center"|\(1\times10^{6003}\) |
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+ | |- |
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+ | |[[Arrow notation]] |
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+ | |colspan="2" align="center"|\(10\uparrow6003\) |
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+ | |- |
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+ | |[[Steinhaus-Moser Notation]] |
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+ | |1838[3] |
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+ | |1839[3] |
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+ | |- |
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+ | |[[Copy notation]] |
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+ | |9[6003] |
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+ | |10[3002] |
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+ | |- |
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+ | |[[Chained arrow notation]] |
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+ | |colspan="2" align="center"|\(10\rightarrow6003\) |
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+ | |- |
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+ | |[[Taro's multivariable Ackermann function]] |
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+ | |A(3,19938) |
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+ | |A(3,19939) |
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+ | |- |
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+ | |[[Pound-Star Notation]] |
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+ | |#*((1360))*41 |
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+ | |#*((1361))*41 |
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+ | |- |
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+ | |[[BEAF]] & [[Bird's array notation]] |
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+ | |colspan="2" align="center"|{10,6003} |
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+ | |- |
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+ | |[[H* function]] |
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+ | |colspan="2" align="center"|H(2000) |
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+ | |- |
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+ | |[[Hyper-E notation]] |
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+ | |colspan="2" align="center"|E6003 |
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+ | |- |
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+ | |[[Bashicu matrix system]] |
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+ | |(0)(1)[3] |
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+ | |(0)(1)[4] |
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+ | |- |
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+ | |[[Hyperfactorial array notation]] |
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+ | |2080! |
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+ | |2081! |
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+ | |- |
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+ | |[[Fast-growing hierarchy]] |
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+ | |\(f_2(19927)\) |
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+ | |\(f_2(19928)\) |
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+ | |- |
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+ | |[[Hardy hierarchy]] |
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+ | |\(H_{\omega^2}(19927)\) |
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+ | |\(H_{\omega^2}(19928)\) |
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+ | |- |
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+ | |[[Slow-growing hierarchy]] |
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+ | |colspan="2" align="center"|\(g_{\omega^{\omega^36+3}}(10)\) |
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+ | |} |
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+ | For long scale: |
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+ | {| border="0" cellpadding="1" cellspacing="1" class="article-table" |
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+ | |- |
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+ | ! scope="col"|Notation |
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+ | ! scope="col"|Lower bound |
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+ | ! scope="col"|Upper bound |
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+ | |- |
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+ | |[[Scientific notation]] |
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+ | |colspan="2" align="center"|\(1\times10^{12000}\) |
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+ | |- |
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+ | |[[Arrow notation]] |
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+ | |colspan="2" align="center"|\(10\uparrow12000\) |
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+ | |- |
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+ | |[[Steinhaus-Moser Notation]] |
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+ | |5[3][3] |
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+ | |6[3][3] |
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+ | |- |
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+ | |[[Copy notation]] |
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+ | |9[12000] |
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+ | |1[12001] |
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+ | |- |
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+ | |[[Taro's multivariable Ackermann function]] |
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+ | |A(3,39860) |
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+ | |A(3,39861) |
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+ | |- |
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+ | |[[Pound-Star Notation]] |
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+ | |#*((965))*56 |
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+ | |#*((966))*56 |
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+ | |- |
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+ | |[[BEAF]] |
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+ | |colspan="2" align="center"|{10,12000} |
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+ | |- |
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+ | |[[Hyper-E notation]] |
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+ | |colspan="2" align="center"|E12000 |
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+ | |- |
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+ | |[[Bashicu matrix system]] |
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+ | |(0)(1)[3] |
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+ | |(0)(1)[4] |
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+ | |- |
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+ | |[[Hyperfactorial array notation]] |
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+ | |3812! |
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+ | |3813! |
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+ | |- |
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+ | |[[Fast-growing hierarchy]] |
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+ | |\(f_2(39847)\) |
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+ | |\(f_2(39848)\) |
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+ | |- |
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+ | |[[Hardy hierarchy]] |
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+ | |\(H_{\omega^2}(39847)\) |
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+ | |\(H_{\omega^2}(39848)\) |
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+ | |- |
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+ | |[[Slow-growing hierarchy]] |
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+ | |colspan="2" align="center"|\(g_{\omega^{\omega^4+\omega^32}}(10)\) |
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+ | |} |
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+ | |||
⚫ | |||
<references/> |
<references/> |
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− | == |
+ | == See also == |
{{illion}} |
{{illion}} |
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+ | [[Category: Tier 2 -illion numbers]] |
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[[Category:Numbers]] |
[[Category:Numbers]] |
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[[Category:Illion]] |
[[Category:Illion]] |
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[[Category:Class 2]] |
[[Category:Class 2]] |
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+ | [[Category:Numbers with 1000 to 1000000 digits]] |
Revision as of 09:20, 26 July 2021
A dumillillion or duomillillion or millilliardilliardplex[1] is equal to \(10^{6,003}\) in the short scale, and \(10^{12,000}\) in the long scale.[2]
It is equal to 1 followed by 6,003 zeros. It is 6,004 digits long.
Dumillillion is also known as billillion or billinillion according to Landon Curt Noll's The English name of a number.
Duomillillion is also known as "one duomilliatillion" according to Landon Curt Noll's The English name of a number.
Written out in decimal form dumillillion (in the short scale) is:
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00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
In long scale:
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Approximations
For short scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{6003}\) | |
Arrow notation | \(10\uparrow6003\) | |
Steinhaus-Moser Notation | 1838[3] | 1839[3] |
Copy notation | 9[6003] | 10[3002] |
Chained arrow notation | \(10\rightarrow6003\) | |
Taro's multivariable Ackermann function | A(3,19938) | A(3,19939) |
Pound-Star Notation | #*((1360))*41 | #*((1361))*41 |
BEAF & Bird's array notation | {10,6003} | |
H* function | H(2000) | |
Hyper-E notation | E6003 | |
Bashicu matrix system | (0)(1)[3] | (0)(1)[4] |
Hyperfactorial array notation | 2080! | 2081! |
Fast-growing hierarchy | \(f_2(19927)\) | \(f_2(19928)\) |
Hardy hierarchy | \(H_{\omega^2}(19927)\) | \(H_{\omega^2}(19928)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^36+3}}(10)\) |
For long scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{12000}\) | |
Arrow notation | \(10\uparrow12000\) | |
Steinhaus-Moser Notation | 5[3][3] | 6[3][3] |
Copy notation | 9[12000] | 1[12001] |
Taro's multivariable Ackermann function | A(3,39860) | A(3,39861) |
Pound-Star Notation | #*((965))*56 | #*((966))*56 |
BEAF | {10,12000} | |
Hyper-E notation | E12000 | |
Bashicu matrix system | (0)(1)[3] | (0)(1)[4] |
Hyperfactorial array notation | 3812! | 3813! |
Fast-growing hierarchy | \(f_2(39847)\) | \(f_2(39848)\) |
Hardy hierarchy | \(H_{\omega^2}(39847)\) | \(H_{\omega^2}(39848)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^4+\omega^32}}(10)\) |
Sources
See also
Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non10–19: 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