Members: 349 (including the BGSN)

Steinhaus-Moser numbers

1. Oligob = Triangle(42069) = 42069^42069

2. Versoint = Square(6174)

3. Bargondol = Circle(1729)

BEAF and BAN numbers

1. Decexpandol = {10,10,1,2}

2. Bidecexpandol = {10,10,2,2}

3. Grand tritri = {3,3,3,2}

4. Tridecexpandol = {10,10,3,2}

5. Tridecaltris = {10,10,10,3}

6. Decexpandold = {10,10,1,3}

7. Tridecaltetris = {10,10,10,4}

8. Decexpandoltris = {10,10,1,4}

9. Tetrapent = {5,5,5,5}

10. Tridecalpentis = {10,10,10,5}

11. Decexpandoltetris = {10,10,1,5}

12. Tetrahex = {6,6,6,6}

13. Tridecalhexis = {10,10,10,6}

14. Tetrasept = {7,7,7,7}

15. Tridecalheptis = {10,10,10,7}

16. Tetraoct = {8,8,8,8}

17. Tridecaloctis = {10,10,10,8}

18. Tetraenn = {9,9,9,9}

19. Tridecalennis = {10,10,10,9}

20. Tridecaldecis = {10,10,10,10}

21. Corplaitri = {3,3,1,1,2} = {3,3,3,{3,3,3,3}}

22. Generalounia = {10,10,1,1,2}

23. Corplainomol = {10,100,1,1,2}

24. Genero-tridecal = {10,10,10,1,2}

25. Corplainogold = {10,10,100,1,2}

26. Grand general = {10,10,10,10,2}

27. Pentadecalounia = {10,10,1,1,1,2}

28. Corplanodastol = {10,100,1,1,1,2}

29. Grand pentadecal = {10,10,10,10,10,2}

30. Grand hexadecal = {10,10,10,10,10,10,2}

31. Quintoggol = {10,10,10,10,10,100,6}

32. Quintagol = {10,10,10,10,10,100,7}

33. Grand heptadecal = {10,10,10,10,10,10,10,2}

34. Sextiggol = {10,10,10,10,10,10,100,2}

35. Sextaggol = {10,10,10,10,10,10,100,3}

36. Sexteegol = {10,10,10,10,10,10,100,4}

37. Sextigol = {10,10,10,10,10,10,100,5}

38. Sextoggol = {10,10,10,10,10,10,100,6}

39. Sextagol = {10,10,10,10,10,10,100,7}

40. Nonoogol = {10,10,10,10,10,10,10,10,10,100}

41. Decoogol = {10,10,10,10,10,10,10,10,10,10,100}

42. Undecoogol = {10,10,10,10,10,10,10,10,10,10,10,100}

43. Duodecoogol = {10,10,10,10,10,10,10,10,10,10,10,10,100}

44. Tredecoogol = {10,10,10,10,10,10,10,10,10,10,10,10,10,100}

45. Quattuordecoogol = {10,10,10,10,10,10,10,10,10,10,10,10,10,10,100}

46. Latridecal = {10,10,10 (1) 2}

47. Itertral = {10,10 (1) 3}

48. Iterteral = {10,10 (1) 4}

49. Iterpetal = {10,10 (1) 5}

50. Triteral = {10,10 (1)(1)(1) 2}

51. Tetriteral = {10,10 (1)(1)(1)(1) 2}

52. Pentiteral = {10,10 (1)(1)(1)(1)(1) 2}

53. Bixappol = {10,10 (2)(2) 2}

54. Trixappol = {10,10 (2)(2)(2) 2}

55. Bicolossol = {10,10 (3)(3) 2}

56. Dimenelevened = {10,10 (11) 2}

57. Dimentwelved = {10,10 (12) 2}

58. Dimenthirteed = {10,10 (13) 2}

59. Dimenfourteed = {10,10 (14) 2}

60. Dimenfifteed = {10,10 (15) 2}

61. Dimensixteed = {10,10 (16) 2}

62. Dimenseventeed = {10,10 (17) 2}

63. Dimeneighteed = {10,10 (18) 2}

64. Dimennineteed = {10,10 (19) 2}

65. Icosolo-dimendecal = {10,10 (20) 2}

66. Triantolo-dimendecal = {10,10 (30) 2}

67. Sarantolo-dimendecal = {10,10 (40) 2}

68. Penintolo-dimendecal = {10,10 (50) 2}

69. Exintolo-dimendecal = {10,10 (60) 2}

70. Ebdomintolo-dimendecal = {10,10 (70) 2}

71. Ogdontolo-dimendecal = {10,10 (80) 2}

72. Enenintolo-dimendecal = {10,10 (90) 2}

73. Hectolo-dimendecal = {10,10 (100) 2}

74. Great xappol = {10,2 (0,1) 3} = {10,2 (2) 2 (0,1) 2}

75. Great colossol = {10,3 (0,1) 3} = {10,3 (3) 2 (0,1) 2}

76. Great terossol = {10,4 (0,1) 3} = {10,4 (4) 2 (0,1) 2}

77. Great petossol = {10,5 (0,1) 3} = {10,5 (5) 2 (0,1) 2}

78. Great ectossol = {10,6 (0,1) 3} = {10,6 (6) 2 (0,1) 2}

79. Great zettossol = {10,7 (0,1) 3} = {10,7 (7) 2 (0,1) 2}

80. Great yottossol = {10,8 (0,1) 3} = {10,8 (8) 2 (0,1) 2}

81. Great xennossol = {10,9 (0,1) 3} = {10,9 (9) 2 (0,1) 2}

82. Great dimendecal = {10,10 (0,1) 3} = {10,10 (10) 2 (0,1) 2}

83. Duladecal = {10,10 (0,2) 2} = {10,10 (10,1) 2}

84. Triladecal = {10,10 (0,3) 2} = {10,10 (10,2) 2}

85. Hyperladecal = {10,10 (0,10) 2} = {10,10 (0,0,1) 2}

86. Triperladecal = {10,10 (0,0,10) 2} = {10,10 (0,0,0,1) 2}

87. Quadriperladecal = {10,10 (0,0,0,10) 2} = {10,10 (0,0,0,0,1) 2}

88. Trimendecal = {10,10 ((1)1) 2} = {10,10 (0,0,0,0,0,0,0,0,0,0,1) 2}

89. Hypertrimendecal = {10,10 ((0,1)1) 2} = {10,10 ((10)1) 2}

90. Quadrimendecal = {10,10 (((1)1)1) 2} = {10,10 ((0,0,0,0,0,0,0,0,0,0,1)1) 2}

91. Tetratodecal = X^^10 & 10 = 10^^10 & 10 = {10,10 (((((0,1)1)1)1)1) 2}
    *BAN Extension by Douglas Shamlin Jr.

92. Haplodecal = {10,10 [1 \ 2] 2} ~ X^^20 & 10

93. Grand haplodecal = {10,3,2 [1 \ 2] 2} = {10,{10,10 [1 \ 2] 2} [1 \ 2] 2}

94. Granhaplodecal = {10,10,2 [1 \ 2] 2}

95. Greahaplodecal = {10,10,3 [1 \ 2] 2}

96. Giganhaplodecal = {10,10,4 [1 \ 2] 2}

97. Gorgehaplodecal = {10,10,5 [1 \ 2] 2}

98. Gulhaplodecal = {10,10,6 [1 \ 2] 2}

99. Gasphaplodecal = {10,10,7 [1 \ 2] 2}

100. Ginorhaplodecal = {10,10,8 [1 \ 2] 2}

101. Goldahaplodecal = {10,10,10 [1 \ 2] 2}

102. Graatadahaplodecal = {10,10,1,2 [1 \ 2] 2}

103. Greedahaplodecal = {10,10,2,2 [1 \ 2] 2}

104. Grinnindahaplodecal = {10,10,3,2 [1 \ 2] 2}

105. Golaadahaplodecal = {10,10,4,2 [1 \ 2] 2}

106. Gruelohdahaplodecal = {10,10,5,2 [1 \ 2] 2}

107. Gaspdahaplodecal = {10,10,6,2 [1 \ 2] 2}

108. Ginordahaplodecal = {10,10,7,2 [1 \ 2] 2}

109. Grandiahaplodecal = {10,10,10,2 [1 \ 2] 2}

110. Greatiahaplodecal = {10,10,10,3 [1 \ 2] 2}

111. Gigantiahaplodecal = {10,10,10,4 [1 \ 2] 2}

112. Gorgiahaplodecal = {10,10,10,5 [1 \ 2] 2}

113. Gulpiahaplodecal = {10,10,10,6 [1 \ 2] 2}

114. Gaspiahaplodecal = {10,10,10,7 [1 \ 2] 2}

115. Ginormiahaplodecal = {10,10,10,8 [1 \ 2] 2}

116. Generohaplodecal = {10,10,10,10 [1 \ 2] 2}

117. Pentadeco-haplodecal = {10,10,10,10,10 [1 \ 2] 2}

118. Hexadeco-haplodecal = {10,10,10,10,10,10 [1 \ 2] 2}

119. Heptadeco-haplodecal = {10,10,10,10,10,10,10 [1 \ 2] 2}

120. Octadeco-haplodecal = {10,10,10,10,10,10,10,10 [1 \ 2] 2}

121. Iterohaplodecal = {10,10 [2] 2 [1 \ 2] 2}

122. Emperohaplodecal = {10,10 [2] 10 [1 \ 2] 2}

123. Hyperohaplodecal = {10,10 [2] 10,10 [1 \ 2] 2}

124. Diterohaplodecal = {10,10 [2] 1 [2] 2 [1 \ 2] 2}

125. Triterohaplodecal = {10,10 [2] 1 [2] 1 [2] 2 [1 \ 2] 2}

126. Xapplohaplodecal = {10,10 [3] 2 [1 \ 2] 2}

127. Colossohaplodecal = {10,10 [4] 2 [1 \ 2] 2}

128. Terossohaplodecal = {10,10 [5] 2 [1 \ 2] 2}

129. Petossohaplodecal = {10,10 [6] 2 [1 \ 2] 2}

130. Ectossohaplodecal = {10,10 [7] 2 [1 \ 2] 2}

131. Zettossohaplodecal = {10,10 [8] 2 [1 \ 2] 2}

132. Yottossohaplodecal = {10,10 [9] 2 [1 \ 2] 2}

133. Xennossohaplodecal = {10,10 [10] 2 [1 \ 2] 2}

134. Dimendeco-haplodecal = {10,10 [11] 2 [1 \ 2] 2}

135. Lagrimingin = {10,10 [[2] 2] 2 [1 \ 2] 2}

136. Haplotrox = {10,10 [1 \ 2] 3}

137. Haplodem = {10,10 [1 \ 2] 10}

138. Deutero-haplodecal = {10,10 [1 \ 2] 1 [1 \ 2] 2}

139. Decko-haplodecal / Haplofact = {10,10 [2 \ 2] 2}

140. Haplotor = {10,10 [3 \ 2] 2}

141. Haploteror = {10,10 [4 \ 2] 2}

142. Haplotopor = {10,10 [1,2 \ 2] 2}

143. Haploduliath = {10,10 [1 [1 \ 2] 2 \ 2] 2}

144. Haplogigas = {10,10 [1 [1,2 \ 2] 2 \ 2] 2}

145. Haplodigas = {10,10 [1 [1 [1,2 \ 2] 2 \ 2] 2 \ 2] 2}

146. Haplotron = {10,10 [1 \ 3] 2}

147. Haploteron = {10,10 [1 \ 4] 2}

148. Haplotopon = {10,10 [1 \ 1,2] 2}

149. Haploxiere = {10,10 [1 \ 1 [1 \ 2] 2] 2}

150. Diplodecal = {10,10 [1 \ 1 \ 2] 2}

151. Diplohaplodecal = {10,10 [1 \ 2 \ 2] 2}

152. Duperdiplodecal = {10,10 [1 \ 1 \ 3] 2}

153. Triplodecal = {10,10 [1 \ 1 \ 1 \ 2] 2}

154. Terplodecal = {10,10 [1 \ 1 \ 1 \ 1 \ 2] 2}

155. Pepplodecal = {10,10 [1 \ 1 \ 1 \ 1 \ 1 \ 2] 2}

156. Hexalodecal = {10,10 [1 \ 1 \ 1 \ 1 \ 1 \ 1 \ 2] 2}

157. Big Chunk = {10,100 [1 [1 [1 (\2,2) 3] 2] 2] 2} ~ TFBO in the FGH

Extensible-E numbers

1. Grandtri = E[3]3#3 = E[3]1#4 = 3^^4 = 3^3^3^3 = 3^3^27 = 3^7,625,597,484,987

2. Grandtriplex = E[3]3#4 = E[3]1#5 = 3^^5

3. Grandtriduplex = E[3]3#5 = E[3]1#6 = 3^^6

4. Grandtritriplex = E[3]3#6 = E[3]1#7 = 3^^7

5. Powertridex = E[3]3#1#2 = E[3]3#(E[3]3) = E[3]3#27

6. Grandtridex = E[3]3#3#2 = E[3]3#(E[3]3#3)

7. Greatri / Goldentri = E[3]3##3 = E[3]3#3#3

8. Gigantri = E[3]3#3#3#3 = E[3]3##4

9. Graatatri = E[3]3##3#3

10. Greedatri / Goolthratri / Throogatri / Godgahtri = E[3]3#^#3 = E[3]3###3 = E[3]3##3##3 = E[3]3##3#3#3

11. Grinnindatri = E[3]3##3##4 = E[3]3##3#3#3#3

12. Goolteslatri = E[3]3###4 = E[3]3##3##3##3

13. Throotrigatri / Tetroogatri = E[3]3####3 = E[3]3###3###3

14. Grandgahtri = E[3]3#^#3#3

15. Goldahtri = E[3]3#^#3##3

16. Gotrigahtri / Godgoldtri = E[3]3#^#*#3 = E[3]3#^#3#^#3 = E[3]3#^#3###3 = E[3]3#^#3##3##3 = E[3]#^#3##3#3#3

17. Gotergahtri = E[3]3#^#*#4 = E[3]3#^#3#^#3#^#3

18. Godthrootri = E[3]3#^#*##3 = E[3]3#^#*#3#^#*#3

19. Godtetrootri / Deutero-godgahtri = E[3]3#^#*#^#3 = E[3]#^#*###3

20. Deutero-godgoldtri = E[3]3#^#*#^#*#3

21. Gridgahtri = E[3]3#^##3 = E[3]3#^#*#^#*#^#3

22. Gridgoldtri = E[3]3#^##*#3

23. Gridthrootri = E[3]3#^##*##3

24. Deutero-gridgahtri = E[3]3#^##*#^##3

25. Trito-gridgahtri / Kubikahtri / Godgathotri / Tethratri = E[3]3#^^#3 = E[3]3#^#^#3 = E[3]3#^###3 = E[3]3#^##*#^##*#^##3

26. Quarticahtri = E[3]3#^####3 = E[3]3#^###*#^###*#^###3

27. Deutero-godgathotri = E[3]3#^#^#*#^#^#3

28. Trito-godgathotri / Godgathotrifact = E[3]3#^(#^#*#)3 = E[3]3#^#^#*#^#^#*#^#^#3

29. Godgridgathotri / E[3]3#^(#^#*##)3

30. Godkubikathotri / Godgathotrideuce = E[3]3#^(#^#*#^#)3 = E[3]3#^(#^#*###)3

31. Godgathotritruce / Gralgathotri = E[3]3#^#^##3 = E[3]3#^(#^#*#^#*#^#)3

32. Thraelgathotri / Godtothotri = E[3]3#^#^#^#3 = E[3]3#^#^#^###3

33. Deutero-tethratri = E[3]3#^^#*#^^#3 = E[3]3#^^#*#^#^#3

34. Tethratrifact = E[3]3(#^^#)^#3 = E[3]3#^^#*#^^#*#^^#3

35. Tethraduliatri = E[3]3(#^^#)^(#^^#)3 = E[3]3(#^^#)^#^#^#3

36. Monster-Tri = E[3]3(#^^#)^(#^^#)^#3 = E[3]3(#^^#)^(#^^#*#^^#*#^^#)3

37. Terribotri = E[3]3(#^^#)^^#3 = E[3]3(#^^#)^(#^^#)^(#^^#)3

38. Tethratri ba'al / Tethriteratri = E[3]3#^^#>#3 = E[3]3((#^^#)^^#)^^#3

39. Terrible tethriteratri = E[3]3(#^^#>#)^^#3

40. Tethriditeratri = E[3]3#^^#>(#+#)3 = E[3]3((#^^#>#)^^#)^^#3

41. Tethrigriditeratri = E[3]3#^^#>##3 = E[3]3#^^#>(#+#+#)3

42. Tethrispatialatri = E[3]3#^^#>#^#3 = E[3]3#^^#>###3

43. Tethrideuterspatialatri = E[3]3#^^#>#^##3

44. Dustaculated-tethratri = E[3]3#^^#>#^^#3 = E[3]3#^^#>#^#^#3

45. Tethracrossitri E[3]3#^^##3 = E[3]3#^^#>#^^#>#^^#3

46. Terrrible tethracrossitri = E[3]3(#^^##)^^#3

47. Secundotethrated tethracrossitri = E[3]3(#^^##)^^##3

48. Tethritercrossitri = E[3]3#^^##>#3

49. Dustaculated-tethracrossitri = E[3]3#^^##>#^^##3

50. Tethratopitri = E[3]3#^^#^#3 = E[3]3#^^###3

51. Godsgodtri / Pentatotri / Tethrato-tethratri / Tethrarxitritri = E[3]3#{#}#3 = E[3]3#^^^#3 = E[3]3#^^#^^#3 = E[3]3#^^#^#^#3

52. Hexatotri = E[3]3#^^^^#3 = E[3]3#^^^#^^^#3 = E[3]3#^^^#^^#^^#3 = E[3]3#^^^#^^#^#^#3 = E[3]3#^^^#^^#^###3

53. Blasphemortri = E[3]3{#,#,1,2}3 = E[3]3{#,3,1,2}3 = E[3]3#{#{#}#}#3

54. Degool = E10 = 10^10 = 10,000,000,000

55. Degoolplex = E10#2 = E1#3 = EE10 = 10^10^10 = 10^10,000,000,000

56. Degoolduplex = E10#3 = E1#4 = EEE10 = 10^^4 = 10^10^10^10

57. Degooltriplex = E10#4 = E1#5 = EEEE10 = 10^^5 = 10^10^10^10^10

58. Degoolquadriplex = E10#5 = E1#6 = 10^^6

59. Degoolquintiplex = E10#6 = E1#7 = 10^^7

60. Degoolsextiplex = E10#7 = E1#8 = 10^^8

61. Degoolseptiplex = E10#8 = E1#9 = 10^^9

62. Degooloctiplex = E10#9 = E1#10 = 10^^10

63. Dekxol / Degoolnoniplex = E10#10 = E1#11 = 10^^11

64. Dekxolplex / Degooldeciplex = E10#11 = E(E10#10) = E1#12 = 10^^12

65. Degooldex = E10#1#2 = E10#(E10) = E10#10,000,000,000

66. Degoolplexidex = E10#2#2 = E10#(EE10)

67. Degoolduplexidex = E10#3#2 = E10#(EEE10)

68. Dekxoldex = E10#10#2 = E10#(E10#10)

69. Dekxoldudex = E10#10#3 = E10#(E10#(E10#10))

70. Dekxoltridex = E10#10#4

71. Dekxolquadridex = E10#10#5

72. Dekxolquintidex = E10#10#6

73. Dergol = E10#10#10

74. Degoolthrex = E10#1#1#2 = E10#10#10,000,000,000

75. Dekxolthrex = E10#10#1#2 = E10#10#(E10#10)

76. Dergolthrex = E10#10#10#2 = E10#10#(E10#10#10)

77. Dergolduthrex = E10#10#10#3

78. Dilagol = E10#10#10#10

79. Dilagoltetrex = E10#10#10#10#2

80. Dilagoldutetrex = E10#10#10#10#3

81. Dorilgol = E10#10#10#10#10 = E10##5

82. Dorilgolpentex = E10#10#10#10#10#2

83. Dorilgoldupentex = E10#10#10#10#10#3

84. Durgol = E10#10#10#10#10#10 = E10##6

85. Durgolhex = E10#10#10#10#10#10#2

86. Durgolduhex = E10#10#10#10#10#10#3

87. Dorokxol = E10#10#10#10#10#10#10 = E10##7

88. Dorokxolheptex = E10#10#10#10#10#10#10#2

89. Dorokxolduheptex = E10#10#10#10#10#10#10#3

90. Dinargol = E10#10#10#10#10#10#10#10 = E10##8

91. Dinargoloctex = E10#10#10#10#10#10#10#10#2

92. Dinargolduoctex = E10#10#10#10#10#10#10#10#3

93. Dargantuul = E10#10#10#10#10#10#10#10#10 = E10##9

94. Dogold / Doogondol = E10#10#10#10#10#10#10#10#10#10 = E10##10

95. Dogolda-suplex = E10##10#2 = E10##(E10##10)

96. Dokxold = E10##10#10

97. Dokxolda-sudex = E10##10#10#2 = E10##(E10##10#10)

98. Dorgold = E10##10#10#10

99. Dorgolda-suthrex = E10##10#10#10#2

100. Doilagold = E10##10#10#10#10 = E10##10##4

101. Dorilgold = E10##10#10#10#10#10 = E10##10##5

102. Durgold = E10##10#10#10#10#10#10 = E10##10##6

103. Dorokxold = E10##10#10#10#10#10#10#10 = E10##10##7

104. Dinargold = E10##10#10#10#10#10#10#10#10 = E10##10##8

105. Dargantuuld = E10##10##9

106. Dogolthra / Doogondold = E10##10##10

107. Dokxolthra = E10##10##10#10

108. Dorgolthra = E10##10##10#10#10

109. Doilagolthra = E10##10##10#10#10#10 = E10##10##10##4

110. Dorilgolthra = E10##10##10##5

111. Durgolthra = E10##10##10##6

112. Dorokxolthra = E10##10##10##7

113. Dinargolthra = E10##10##10##8

114. Dargantuulthra = E10##10##10##9

115. Dogoltesla / Doogondolthra = E10##10##10##10

116. Dokxoltesla = E10##10##10##10#10

117. Dorgoltesla = E10##10##10##10#10#10

118. Doilagoltesla = E10##10##10##10##4

119. Dorilgoltesla = E10##10##10##10##5

120. Durgoltesla = E10##10##10##10##6

121. Dorokxoltesla = E10##10##10##10##7

122. Dinargoltesla = E10##10##10##10##8

123. Dargantuultesla = E10##10##10##10##9

124. Dogolpeta / Doogondoltesla = E10##10##10##10##10 = E10###5

125. Dogolhexa = E10##10##10##10##10##10 = E10###6

126. Dogolhepta = E10##10##10##10##10##10##10 = E10###7

127. Dogolocta = E10##10##10##10##10##10##10##10 = E10###8

128. Dogolenna = E10##10##10##10##10##10##10##10##10 = E10###9

129. Thridegool / Dogoldeka = E10###10 = E10##10##10##10##10##10##10##10##10##10

130. Grand thridegool = E10###10#2

131. Thridekxol = E10###10#10

132. Thridergol = E10###10#10#10

133. Thridilagol = E10###10#10#10#10 = E10###10##4

134. Thridorilgol = E10###10##5

135. Thridurgol = E10###10##6

136. Thridorokxol = E10###10##7

137. Thridinargol = E10###10##8

138. Thridogold = E10###10##10

139. Thridokxold = E10###10##10#10

140. Thridorgold = E10###10##10#10#10

141. Thridoilagold = E10###10##10#10#10#10 = E10###10##10##4

142. Thridogolthra = E10###10##10##10

143. Thridogoltesla = E10###10##10##10##10

144. Thridogolpeta = E10###10###5

145. Thridogolhexa = E10###10###6

146. Thridogolhepta = E10###10###7

147. Thridogolocta = E10###10###8

148. Thridogolenna = E10###10###9

149. Truthridegool / Thridogoldeka = E10###10###10

150. Truthridekxol = E10###10###10#10

151. Truthridogold = E10###10###10##10

152. Quadruthridegool = E10###10###10###10

153. Quadruthridekxol = E10###10###10###10#10

154. Quadruthridogold = E10###10###10###10##10

155. Quintuthridegool = E10###10###10###10###10 = E10####5

156. Sextuthridegool = E10####6

157. Septuthridegool = E10####7

158. Octuthridegool = E10####8

159. Nonuthridegool = E10####9

160. Tetridegool / Decuthridegool = E10####10

161. Tetridekxol = E10####10#10

162. Tetridergol = E10####10#10#10

163. Tetridogold = E10####10##10

164. Tetridogolthra = E10####10##10##10

165. Tetrithridegool = E10####10###10

166. Tetritruthridegool = E10####10###10###10

167. Tetriquadruthridegool = E10####10###10###10###10

168. Trutetridegool = E10####10####10

169. Quadrutetridegool = E10####10####10####10 = E10#####4

170. Quintutetridegool = E10#####5

171. Sextutetridegool = E10#####6

172. Septutetridegool = E10#####7

173. Octutetridegool = E10#####8

174. Nonutetridegool = E10#####9

175. Pentidegool / Decutetridegool = E10#####10

176. Hexidegool = E10######10

177. Heptidegool = E10#######10

178. Ogdidegool = E10########10

179. Entidegool = E10#########10

180. Itergahlah / Dektidegool = E10##########10 = E10#^#10

Ambiguous -illion names

1. Pijillion = 10^(3*10^(3*10^15,000,000,000)+3)

2. Polillion = 10^(3*10^(3*10^(1.5*10^25))+3)

3. Paxillion = 10^(3*10^(3*10^(1.5*10^34))+3)

Former ambiguous -illion names

• Pectrillion = 10^(3*10^(3*10^159)+3) *not by me, but by Sbiis Saibian

• Peectrillion (CompactStar's old "pectrillion") = 10^(3*10^(3*10^(3*10^(3*10^210)))+3) (*now prykillion)

Miscellany

1. Golden grahal = G4 = 3{3{3{3{4}3}3}3}3

2. Gratuitous Golden Googol = {16777216, 100 (1)(1) 2}

3. Dupergraham = GG64

4. Multilliplexion / Multillionplex / Maximusmultillion = 10^10^(3*10^(3*10^(3*10^42))+3)

5. Bewilderingly ginormous salad number (BGSN, see below)

Definition of BGSN

Common name: Bewilderingly ginormous salad number (may or may not be capitalized)

Abbreviation: BGSN or B.G.S.N.

Full name: "The fundamentally great star of ginormous cell number that consisting of series of notations made out of mainly Graham, googol, googolplex, tetration, pentation numbers with so many fundamental sequences within Bird's array notation and Extensible-E system within an unusually large number of well-defined googolisms, it's so delicious volcanic dimension of nightmare"

It consists of 42 steps (here the numbers starting with a dollar sign ($) stands for the defined googolism with that step number):

1. E4###4#64 (an approximation of Fish number 1, comparable to thrangol = E100###100#100 = E100###100##2)

2. X^^{{$1, {$1, $1, $1}, 1, 1, 65}, 1, 1, zootzootplex} & 3^^^^3 (grahal) where X^^{m} & n stands for a tetrational array of the number only.

3. E4####64 (an approximation of Fish number 2)

4. E[$2]420#^#69 = E[$2]420####...####420 with 69 consecutive #'s

5. {googolplex, googolplex-1, googolplex-2, ..., 4, 3, 2 (1) googolplex-1, googolplex-2, googolplex-3, ..., 4, 3, 2 (1) ... (1) 5, 4, 3, 2 (1) 4, 3, 2 (1) 3, 2 (1) 2}, using decrement pattern of the planar arrays in BEAF

6. {142857, 1337 (gigangol) 142857, 1337 (gigangol-1) 142857, 1337 (gigangol-2) ... (3) 142857, 1337 (2) 142857, 1337 (1) 142857, 1337}, where gigangol = E100#100#100#100, using Hyper-E notation

7. E[69420]($5)(#^^#)^^#($6) = E[69420]($5)(#^^#)^(#^^#)^...^(#^^#)^(#^^#)($5) with $6 #^^#'s

8. Multillion![versillion, supillion, gaxillion, glocillion, betillion, solillion, jovillion, fermillion, lunillion, astillion, gijillion, mejillion, kalillion], using Hollom's Hyperfactorial array notation

9. {BOX_M~, graatagold, 142857, 1337, 1, 1, tritet Jr.} where graatagold = E100##100#100, and tritet Jr. = {4, 4, 2} = 4^^4

10. {Graham's number,3,1,4,1,5,9,2,6,5,3,5,8,9,7,9,3,2,3,8,4,6,2,6,4,3,3,8,3,2,7,9,5 (355,113)(22,7) 2} using BEAF

11. {$5-$4-$3,{{$6,$7,1,1,2},$8,1,1,$9},1,1,1,...,1,1,1,googol (1,3,3,7) iteral} where iteral = {10,10 (1) 2} = {10,10,10,10,10,10,10,10,10,10}, and with $10 string of 1s entries

12. E100{#,#,1,2}godgathor where godgathor = E100#^#^#100

13. {$11, $11, 1, 1, 1, 2 (2 (7) 1 (8) 2 (8) 1 (8) 2 (8) 4 (5) 9, 4 (5) 2 (3) 5) 1, 1, 1, {$12}}

14. E100#^#^#^#$13 = E100#^#^####...####100 with $13 consecutive #'s

15. f_(ε(ε(ε(...ε(ε(ε(ζ(googolgong)+1)))))))(Fish number 3) where googolgong = 10^100,000, and there are gotrigahlah = E100#^#100#^#100 epsilons, using fast-growing hierarchy

16. E3#1#4#1#5#9#2#6#5#3#5#8#9#7#9#3#2#3#8#4#6#2#6#4#3#3#8#3#2#7#9#5 using Hyper-E notation

17. E69420#^^^^#(($15)^2-{$16,$16+$15,1,4})

18. E[$17]($17)#{($16)^^^^($15)^^^($14)}#($13*$12*$11)

19. TREE($18)

20. SSCG($19)

21. SSCG(SSCG(SSCG(...SSCG(SSCG(SSCG($20 - $19 - $18)))))) where there are {googolplex, googolplex [1 [142857 \ 1337 \ 420 \ 69 \ 42 ¬ 2] 2] 2} SSCG's, using hierarchial hyper-nested Bird's array notation

22. E[3]3#^^^#3 = E[3]3#^^#^^#3 = E[3]3#^^#^#^#3 = E[3]3#^^#^###3

23. SCG($21 - $22)

24. E(Bird's number)#{#^^^#}#($23^^$21)

25. g_(ψ(ε(ε(ε(...ε(ε(ε(Ω(ω^ω^2)+1))))))))(2147483647) where there are gralgathor = E100#^#^##100 epsilons, using extended Buchholz's function, and g stands for the slow-growing hierarchy

26. {$25, $24 [1 [1 \_(2,7,1,8,2,8,1,8,2,8,4,5,9,0,4,5,2,3,5) 3] 2] 2} using hierarchial hyper-nested Bird's array notation

27. {#26, $26, 2, 1, 1, 1, 1, $23 ((1) 1) 2} using BEAF nested arrays

28. E142857(#^^^#>(#^##+#^#*#^#*##))^^^#1337

29. Σ($28) where Σ is the busy beaver function

30. Rayo^($27)($29)

31. Rayo^($30)($30)

32. Rayo_(Σ_(E100#^^#>#^^#100))(SSCG(3))

33. Rayo_MK($32 - $31)

34. E100(#^^#^^#)^^#^^#100

35. E100(#^^^#^^^#)^^^#^^^#($34)

36. E100(#^^^^#^^^^#)^^^^#^^^^#($35)

37. E100#{36}#($28)

38. Σ∞($37) using infinite time Turing machine

39. $38 - ($37)^^^^($37)

40. Rayo_(Σ1)(greegold) where greegold = E100##100#100#100

41. Σ∞($40 + the least transcendental integer)

42. Rayo_(ZFC+I0)($41)

That's an uncomputable salad number defined without using any ill-defined numbers and functions!