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A tredecillion or septilliad[1] is equal to 1042 in America, or 1078 in France and Germany.[2]

In the long scale, 1042 is called septillion, which is commonly used in France and Germany.

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

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

Decimal expansion Edit

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

Examples Edit

  • There is about 100 tredecillion grams of matter contained in the grand total of all the stars in the Milky Way Galaxy.
  • There are about 200 tredecillion atoms contained in the entire atmosphere of the Earth[5]
  • The prefix tenatera- multiplies by one tredecillion.

Approximations Edit

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{42}\)
Arrow notation \(10\uparrow42\)
Steinhaus-Moser Notation 28[3] 29[3]
Copy notation 9[42] 1[43]
Taro's multivariable Ackermann function A(3,136) A(3,137)
Pound-Star Notation #*(7,6,6,0,4)*6 #*(8,6,6,0,4)*6
BEAF {10,42}
Hyper-E notation E42
Bashicu matrix system (0)(0)(0)(0)[421] (0)(0)(0)(0)[422]
Hyperfactorial array notation 36! 37!
Fast-growing hierarchy \(f_2(132)\) \(f_2(133)\)
Hardy hierarchy \(H_{\omega^2}(132)\) \(H_{\omega^2}(133)\)
Slow-growing hierarchy \(g_{\omega^{\omega4+2}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{78}\)
Arrow notation \(10\uparrow78\)
Steinhaus-Moser Notation 46[3] 47[3]
Copy notation 9[78] 1[79]
Taro's multivariable Ackermann function A(3,256) A(3,257)
Pound-Star Notation #*(9,2,9,0,5,1,1)*7 #*(10,2,9,0,5,1,1)*7
BEAF {10,78}
Hyper-E notation E78
Bashicu matrix system (0)(0)(0)(0)[74989] (0)(0)(0)(0)[74990]
Hyperfactorial array notation 57! 58!
Fast-growing hierarchy \(f_2(251)\) \(f_2(252)\)
Hardy hierarchy \(H_{\omega^2}(251)\) \(H_{\omega^2}(252)\)
Slow-growing hierarchy \(g_{\omega^{\omega7+8}}(10)\)

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. Sbiis Saibian's Ultimate Finite Numbers List Part I
  2. Tredecillion at Wolfram MathWorld
  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