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An undecillion is equal to 1036 in America, or 1066 in France and Germany.[1]

In the long scale, 1036 is called sextillion, which is commonly used in France and Germany.

This number is also called dodekillion in Russ Rowlett's Greek-based naming system.[2]

Aarex Tiaokhiao gave the name becillion, referring to the value of this number.[3]

1036 is also called Jian (澗 in Chinese) or Kan (かん in Japanese)[4] in both Japanese counting system and Chinese counting system.

Decimal Edit

  • 1,000,000,000,000,000,000,000,000,000,000,000,000 - short scale
  • 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 - long scale

Examples Edit

  • The volume of the Betelguese red giant is roughly 1.21 undecillion cubic meters.[5]
  • The electromagnetic interaction is around 1036 times stronger than gravity. The strong nuclear force is another 100 times stronger than that.
  • The prefix tenamega- multiplies by one undecillion.

Approximations Edit

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{36}\)
Arrow notation \(10\uparrow36\)
Steinhaus-Moser Notation 25[3] 26[3]
Copy notation 9[36] 1[37]
Taro's multivariable Ackermann function A(3,116) A(3,117)
Pound-Star Notation #*(3,7,1,0,1)*6 #*(2,6,1,3,4)*5
BEAF {10,36}
Hyper-E notation E36
Bashicu matrix system (0)(0)(0)[31622] (0)(0)(0)[31623]
Hyperfactorial array notation 32! 33!
Fast-growing hierarchy \(f_2(112)\) \(f_2(113)\)
Hardy hierarchy \(H_{\omega^2}(112)\) \(H_{\omega^2}(113)\)
Slow-growing hierarchy \(g_{\omega^{\omega3+6}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{66}\)
Arrow notation \(10\uparrow66\)
Steinhaus-Moser Notation 40[3] 41[3]
Copy notation 9[66] 1[67]
Taro's multivariable Ackermann function A(3,216) A(3,217)
Pound-Star Notation #*(10,4,2,2,0,1)*8 #*(10,0,6,3,4,4)*7
BEAF {10,66}
Hyper-E notation E66
Bashicu matrix system (0)(0)(0)(0)[13335] (0)(0)(0)(0)[13336]
Hyperfactorial array notation 50! 51!
Fast-growing hierarchy \(f_2(211)\) \(f_2(212)\)
Hardy hierarchy \(H_{\omega^2}(211)\) \(H_{\omega^2}(212)\)
Slow-growing hierarchy \(g_{\omega^{\omega6+6}}(10)\)

List of prefixed numbers derived from decillion Edit

Name Short scale Long scale
undecillion 1036 1066
duodecillion 1039 1072
tredecillion 1042 1078
quattuordecillion 1045 1084
quindecillion 1048 1090
sexdecillion 1051 1096
septendecillion 1054 10102
octodecillion 1057 10108
novemdecillion 1060 10114

Sources Edit

  1. Undecillion at Wolfram MathWorld
  2. Names for Large Numbers
  3. Aarex Tiaokhiao's illion numbers
  4. 大数の名前
  5. Saibian, Sbiis. Larger numbers in science.

See also Edit

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 · trevigint · quattuorvigint · quinvigint · sexvigint · septenvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
40–49: quadragintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
50–59: quinquagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
80–89: octogintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
100–900: centillion · primo-vigesimo-cent · ducent · trecent · duotrigintatrecent · quadringent · quingent · sescent · septuagintisescent · septingent · octingent · nongent
1000–1024: millillion · dumill · trimill · quadrimill · quinmill · sexmill · septimill · octimill · nonimill · myr · centimill · micr · nan · pic · femt · att · zept · yoct


Googology in Asia

Fish numbers: Fish number 1 · Fish number 2 · Fish number 3 · Fish number 4 · Fish number 5 · Fish number 6 · Fish number 7
Mapping functions: S map · SS map · S(n) map · M(n) map · M(m,n) map
By Aeton: Okojo numbers · N-growing hierarchy
By BashicuHyudora: Pair sequence number · Bashicu matrix system
Indian counting system: Lakh · Crore · Uppala
Chinese, Japanese and Korean counting system: Wan · Yi · Zhao · Jing · Gai · Zi · Rang · Gou · Jian · Zheng · Zai · Ji · Gougasha · Asougi · Nayuta · Fukashigi · Muryoutaisuu
Buddhist text: Tallakshana · Dvajagravati · Mahakathana · Asankhyeya · Dvajagranisamani · Vahanaprajnapti · Inga · Kuruta · Sarvanikshepa · Agrasara · Uttaraparamanurajahpravesa · Avatamsaka Sutra · Nirabhilapya nirabhilapya parivarta
Other: Taro's multivariable Ackermann function · Sushi Kokuuhen