| Line 42: | Line 42: | ||
|#*((2857))*22 |
|#*((2857))*22 |
||
|#*((2858))*22 |
|#*((2858))*22 |
||
| + | |- |
||
| + | |[[PlantStar's Debut Notation]] |
||
| + | |[893] |
||
| + | |[894] |
||
|- |
|- |
||
|[[BEAF]] & [[Bird's array notation]] |
|[[BEAF]] & [[Bird's array notation]] |
||
| Line 90: | Line 94: | ||
|9[3000] |
|9[3000] |
||
|1[3001] |
|1[3001] |
||
| + | |- |
||
| + | |[[Chained arrow notation]] |
||
| + | |colspan="2" align="center"|\(10\rightarrow3000\) |
||
|- |
|- |
||
|[[Taro's multivariable Ackermann function]] |
|[[Taro's multivariable Ackermann function]] |
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| Line 99: | Line 106: | ||
|#*((2389))*30 |
|#*((2389))*30 |
||
|- |
|- |
||
| + | |[[PlantStar's Debut Notation]] |
||
| − | |[[BEAF]] |
||
| + | |[1784] |
||
| + | |[1785] |
||
| + | |- |
||
| + | |[[BEAF]] & [[Bird's array notation]] |
||
|colspan="2" align="center"|{10,3000} |
|colspan="2" align="center"|{10,3000} |
||
|- |
|- |
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Revision as of 04:42, 28 March 2020
The quingentillion is equal to 101,503 in short scale.[1] This number is also equal to 103,000 in the long scale of naming zillions, accepted in French and Germany.
Decimal expansion
Written out in decimal form quingentillion (in the short scale) is:
In long scale:
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}} 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}
Approximations
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{1503}\) | |
| Arrow notation | \(10\uparrow1503\) | |
| Steinhaus-Moser Notation | 548[3] | 549[3] |
| Copy notation | 9[1503] | 10[752] |
| Chained arrow notation | \(10\rightarrow1503\) | |
| Taro's multivariable Ackermann function | A(3,4989) | A(3,4990) |
| Pound-Star Notation | #*((2857))*22 | #*((2858))*22 |
| PlantStar's Debut Notation | [893] | [894] |
| BEAF & Bird's array notation | {10,1503} | |
| Hyper-E notation | E1503 | |
| Bashicu matrix system | (0)(1)[3] | (0)(1)[4] |
| Hyperfactorial array notation | 634! | 635! |
| Strong array notation | s(10,1503) | |
| Fast-growing hierarchy | \(f_2(4\,980)\) | \(f_2(4\,981)\) |
| Hardy hierarchy | \(H_{\omega^2}(4\,980)\) | \(H_{\omega^2}(4\,981)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^3+\omega^{2}5+3}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{3000}\) | |
| Arrow notation | \(10\uparrow3000\) | |
| Steinhaus-Moser Notation | 1000[3] | |
| Copy notation | 9[3000] | 1[3001] |
| Chained arrow notation | \(10\rightarrow3000\) | |
| Taro's multivariable Ackermann function | A(3,9962) | A(3,9963) |
| Pound-Star Notation | #*((2388))*30 | #*((2389))*30 |
| PlantStar's Debut Notation | [1784] | [1785] |
| BEAF & Bird's array notation | {10,3000} | |
| Hyper-E notation | E3000 | |
| Bashicu matrix system | (0)(1)[3] | (0)(1)[4] |
| Hyperfactorial array notation | 1142! | 1143! |
| Fast-growing hierarchy | \(f_2(9952)\) | \(f_2(9953)\) |
| Hardy hierarchy | \(H_{\omega^2}(9952)\) | \(H_{\omega^2}(9953)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^33}}(10)\) | |
Sources
See also
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- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · 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