Googology Wiki
Register
Advertisement
Googology Wiki

View full site to see MathJax equation

This page contains Roman numeral-related numbers.

List of Roman numeral-related numbers[]

  • 201 is an odd lucky number. Its Roman numeral (CCI) is used in Googocci.
  • 209's Roman numeral (CCIX) is used in Googovipleccix.[1]
  • 299 is an odd unlucky number. Its official Roman numeral is CCXCIX. Its unofficial Roman numeral (CCIC) is used in Googoccic.
  • 990 is the 44th triangular number. Its official Roman numeral is CMXC. Its unofficial Roman numeral (XM) is used in Googoxem.[3] Here, an “e” has been inserted for euphonical reasons.
  • 1,002 is the 22nd partition number. Its Roman numeral (MII) is used in Fibonamij.[4] Here, the second “i” has been spelled “j” for euphonical reasons.
  • 1,099's official Roman numeral is MXCIX. Its unofficial Roman numeral (MIC) is used in googocciplemic.
  • 1,444 is the smallest positive number with pandigital Roman numeral, namely MCDXLIV.
  • 1,666 is the largest number with pandigital Roman numeral without redundant digits, namely MDCLXVI.
  • The 3,999 undisputed Roman numerals use a total of 2,400 characters with negative value.
  • 3,888 is the number with the longest undisputed Roman numeral, namely MMMDCCCLXXXVIII.
  • 3,999 is the largest number with an undisputed Roman numeral, namely MMMCMXCIX.
  • In the 3,999 undisputed Roman numerals, the characters "C" and "X" are used 6,000 times each.
  • 7,473 is the largest number whose Roman numeral (namely, MMMMMMMCDLXXIII (or \(\bar{\text{V}} \text{MMCDLXXIII}\) )) has been used in literature (namely, by Voltaire).[6]
  • The 3,999 undisputed Roman numerals use a total of 30,000 characters.
  • The 7,473 Roman numerals used in literature use a total of 68,934 characters.

Approximations of these numbers[]

For 30,000:

Notation Lower bound Upper bound
Scientific notation \(3\times10^4\)
Arrow notation \(31\uparrow3\) \(2\uparrow15\)
Steinhaus-Moser Notation 5[3] 6[3]
Copy notation 2[5] 3[5]
Chained arrow notation \(31\rightarrow3\) \(2\rightarrow15\)
Taro's multivariable Ackermann function A(3,12) A(3,13)
Pound-Star Notation #*(21)*3 #*(22)*3
PlantStar's Debut Notation [2] [3]
BEAF {31,3} {2,15}
Hyper-E notation 3E4
Bashicu matrix system (0)[173] (0)[174]
Hyperfactorial array notation 7! 8!
Bird's array notation {31,3} {2,15}
Strong array notation s(31,3) s(2,15)
Fast-growing hierarchy \(f_{2}(11)\) \(f_{2}(12)\)
Hardy hierarchy \(H_{\omega^2}(11)\) \(H_{\omega^2}(12)\)
Slow-growing hierarchy \(g_{\omega^4\times 3}(10)\)

Sources[]

Advertisement