Trecentillion

This page is about Bowers's definition. For the alternative definition, see Centretillion.

The trecentillion is equal to 10⁹⁰³ in short scale, or 10^1,800 in the long scale of naming -illions, used in French and Germany

Decimal expansion

Written out in decimal form trecentillion (in the short scale) is:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations

For short scale:

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{903}\)
Arrow notation	\(10\uparrow903\)
Steinhaus-Moser Notation	354[3]	355[3]
Copy notation	9[903]	10[452]
Taro's multivariable Ackermann function	A(3,2996)	A(3,2997)
Pound-Star Notation	#*((64))*18	#*((65))*18
BEAF	{10,903}
Bird's array notation	{10,903}
Hyper-E notation	E903
Bashicu matrix system	(0)(0)(0)(0)(0)(0)(0)(0)[3367]	(0)(0)(0)(0)(0)(0)(0)(0)[3368]
Hyperfactorial array notation	413!	414!
Fast-growing hierarchy	\(f_2(2\,988)\)	\(f_2(2\,989)\)
Hardy hierarchy	\(H_{\omega^2}(2\,988)\)	\(H_{\omega^2}(2\,989)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^29+3}}(10)\)

For long scale:

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{1,800}\)
Arrow notation	\(10\uparrow1,800\)
Steinhaus-Moser Notation	641[3]	642[3]
Copy notation	9[1800]	1[1801]
Taro's multivariable Ackermann function	A(3,5976)	A(3,5977)
Pound-Star Notation	#*((823))*24	#*((824))*24
BEAF	{10,1800}
Bird's array notation	{10,1800}|-
Hyper-E notation	E1800
Bashicu matrix system	(0)(1)[3]	(0)(1)[4]
Hyperfactorial array notation	738!	739!
Fast-growing hierarchy	\(f_2(5\,966)\)	\(f_2(5\,967)\)
Hardy hierarchy	\(H_{\omega^2}(5\,966)\)	\(H_{\omega^2}(5\,967)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^3+\omega^28}}(10)\)

See also

Standard -illion numbers 10³ⁿ⁺³ (10⁶ⁿ)

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 · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
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 · ducent · trecent · quadringent · quingent · sescent · septuagintisescent · 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