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For Tiaokhiao's vigintillion, see novemdecillion.

A vigintillion is equal to 1063 in the short scale, or 10120 in the long scale.[1][2] It is the largest -illion with a name in the English language other than the much larger centillion, although the extended names to the -illions like unvigintillion have been recognized by many people as well.

In the long scale, 1063 is called decilliard, which is commonly used in France and Germany.

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

Aarex Tiaokhiao gave the name vigimillion, referring to the value of this number.[4]

Decimal Edit

  • 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 - short scale
  • 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 - long scale

List of prefixed numbers derived from vigintillion Edit

Name Short scale Long scale
unvigintillion 1066 10126
duovigintillion 1069 10132
trevigintillion 1072 10138
quattuorvigintillion 1075 10144
quinvigintillion 1078 10150
sexvigintillion 1081 10156
septenvigintillion 1084 10162
octovigintillion 1087 10168
novemvigintillion 1090 10174

Examples Edit

  • The volume of the Virgo Super Cluster (The super cluster in which we reside) is roughly 3.54 vigintillion cubic kilometers.[5]
  • There is about 1 vigintillion possible chess combinations.
  • For prefixes that mean multipling by one vigintillion, see Prefix 10^63.

Approximations Edit

Notation Lower bound Upper bound
Scientific notation \(1\times10^{63}\)
Arrow notation \(10\uparrow63\)
Steinhaus-Moser Notation 39[3] 40[3]
Copy notation 9[63] 10[32]
Taro's multivariable Ackermann function A(3,206) A(3,207)
Pound-Star Notation #*(1,9,0,6)*12 #*(5,2,0,2,4,2)*7
BEAF {10,63}
Hyper-E notation E63
Hyperfactorial array notation 49! 50!
Fast-growing hierarchy \(f_2(201)\) \(f_2(202)\)
Hardy hierarchy \(H_{\omega^2}(201)\) \(H_{\omega^2}(202)\)
Slow-growing hierarchy \(g_{\omega^{\omega6+3}}(10)\)

Sources Edit

  1. Vigintillion at Wolfram MathWorld
  2. Illion Numbers by Jonathan Bowers
  3. Names for Large Numbers
  4. Aarex Tiaokhiao's illion numbers
  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