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A quindecillion or octilliad[1] is equal to 1048 in America, or 1090 in France and Germany.[2]

In the long scale, 1048 is called octillion, which is commonly used in France and Germany.

This number is also called hexadekillion in Russ Rowlett's Greek-based naming system.[3]

1048 is also called Ji (極 in Chinese) or Goku (ごく in Japanese)[4] in both Japanese counting system and Chinese counting system.

Decimal Edit

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

Examples Edit

  • The Earth is composed of about 89 quindecillion molecules.[5]
  • The prefix tenaexa- multiplies by one quindecillion.
  • There are about 133 quindecillion atoms in the world.[6]

Approximations Edit

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{48}\)
Arrow notation \(10\uparrow48\)
Steinhaus-Moser Notation 31[3] 32[3]
Copy notation 9[48] 1[49]
Taro's multivariable Ackermann function A(3,156) A(3,157)
Pound-Star Notation #*(6,3,6,4,3)*7 #*(7,3,6,4,3)*7
BEAF {10,48}
Hyper-E notation E48
Bashicu matrix system (0)(0)(0)(0)[1000]
Hyperfactorial array notation 40! 41!
Fast-growing hierarchy \(f_2(152)\) \(f_2(153)\)
Hardy hierarchy \(H_{\omega^2}(152)\) \(H_{\omega^2}(153)\)
Slow-growing hierarchy \(g_{\omega^{\omega4+8}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{90}\)
Arrow notation \(10\uparrow90\)
Steinhaus-Moser Notation 52[3] 53[3]
Copy notation 9[90] 1[91]
Taro's multivariable Ackermann function A(3,295) A(3,296)
Pound-Star Notation #*(2,12,2,8,4,3)*10 #*(1,3,7,7,2,2,10)*7
BEAF {10,90}
Hyper-E notation E90
Bashicu matrix system (0)(0)(0)(0)(0)[649] (0)(0)(0)(0)(0)[650]
Hyperfactorial array notation 64! 65!
Fast-growing hierarchy \(f_2(290)\) \(f_2(291)\)
Hardy hierarchy \(H_{\omega^2}(290)\) \(H_{\omega^2}(291)\)
Slow-growing hierarchy \(g_{\omega^{\omega9}}(10)\)

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. https://sites.google.com/site/largenumbers/home/appendix/a/numbers
  2. Quindecillion at Wolfram MathWorld
  3. Names for Large Numbers
  4. 大数の名前
  5. Saibian, Sbiis. Larger numbers in science.
  6. List of atoms in the world.

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