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In this blog post I summarized various translations of the Avatamsaka Sutra's number and explained Buddhabhadra's translation. In this blog post, I explain Prājñā's translation (795‐798). Here is the main text.

We start reading from "百千為一洛叉".

  • "百千為一洛叉": 百 means hundred. 千 means thousand. 為 may mean "to make". 一 means one. 洛叉 is a name of a number. Therefore, it means "One hundred thousand is one 洛叉". Therefore 洛叉 = \(10^5\).
  • "一百洛叉為一俱胝": one hundred 洛叉 is one 俱胝. Therefore 俱胝 = \(10^7\).
  • "俱胝俱胝為一阿庾多": 俱胝 times 俱胝 is one 阿庾多. Therefore 阿庾多 = 俱胝2 = \(10^{14}\).
  • "阿庾多阿庾多為一那由他": 阿庾多 times 阿庾多 is one 那由他. Therefore 那由他 = 阿庾多2 = \(10^{28}\).

Like this way, new names of numbers are defined successively by squaring previously named numbers. Up to here, the calculations match Buddhabhadra's translation, and until 阿伽羅 = \(10^{224}\), but it will become different from the next level. The calculation is summarized at the table below. Finally, the largest value is obtained as

  • 不可說不可說轉 = \(10^{7 \times 2^{142}}\)
Name Value
洛叉 \(10^5\)
俱胝 \(10^{7 \times 2^{0}} = 10^{7}\)
阿庾多 \(10^{7 \times 2^{1}} = 10^{14}\)
那由他 \(10^{7 \times 2^{2}} = 10^{28}\)
頻婆羅 \(10^{7 \times 2^{3}} = 10^{56}\)
矜羯羅 \(10^{7 \times 2^{4}} = 10^{112}\)
阿伽羅 \(10^{7 \times 2^{5}} = 10^{224}\)
微濕伐羅 \(10^{7 \times 2^{6}} = 10^{448}\)
鉢囉伐羅 \(10^{7 \times 2^{7}} = 10^{896}\)
鉢囉麼 \(10^{7 \times 2^{8}} = 10^{1792}\)
婆嚩羅 \(10^{7 \times 2^{9}} = 10^{3584}\)
阿婆羅 \(10^{7 \times 2^{10}} = 10^{7168}\)
多婆羅 \(10^{7 \times 2^{11}} = 10^{14336}\)
獶鉢彌耶 \(10^{7 \times 2^{12}} = 10^{28672}\)
阿枲摩 \(10^{7 \times 2^{13}} = 10^{57344}\)
普摩 \(10^{7 \times 2^{14}} = 10^{114688}\)
禰摩 \(10^{7 \times 2^{15}} = 10^{229376}\)
阿婆鈐 \(10^{7 \times 2^{16}} = 10^{458752}\)
微婆伽 \(10^{7 \times 2^{17}} = 10^{917504}\)
微婆奢 \(10^{7 \times 2^{18}} = 10^{1835008}\)
沒哩嚩迦 \(10^{7 \times 2^{19}} = 10^{3670016}\)
那賀羅 \(10^{7 \times 2^{20}} = 10^{7340032}\)
毘邏伽 \(10^{7 \times 2^{21}} = 10^{14680064}\)
彌嚩伽 \(10^{7 \times 2^{22}} = 10^{29360128}\)
毘伽婆 \(10^{7 \times 2^{23}} = 10^{58720256}\)
僧羯邏摩 \(10^{7 \times 2^{24}} = 10^{117440512}\)
毘薩羅 \(10^{7 \times 2^{25}} = 10^{234881024}\)
毘贍婆 \(10^{7 \times 2^{26}} = 10^{469762048}\)
慈汦伽 \(10^{7 \times 2^{27}} = 10^{939524096}\)
毘盛伽 \(10^{7 \times 2^{28}} = 10^{1879048192}\)
毘嚕陀 \(10^{7 \times 2^{29}} = 10^{3758096384}\)
微皤訶 \(10^{7 \times 2^{30}} = 10^{7516192768}\)
微薄帝 \(10^{7 \times 2^{31}} = 10^{15032385536}\)
毘佉擔 \(10^{7 \times 2^{32}} = 10^{30064771072}\)
都邏那 \(10^{7 \times 2^{33}} = 10^{60129542144}\)
阿覩[里*也] \(10^{7 \times 2^{34}} = 10^{120259084288}\)
嚩邏那 \(10^{7 \times 2^{35}} = 10^{240518168576}\)
微皤蘭 \(10^{7 \times 2^{36}} = 10^{481036337152}\)
三末耶 \(10^{7 \times 2^{37}} = 10^{962072674304}\)
微覩羅 \(10^{7 \times 2^{38}} = 10^{1924145348608}\)
奚婆羅 \(10^{7 \times 2^{39}} = 10^{3848290697216}\)
陀嚩羅 \(10^{7 \times 2^{40}} = 10^{7696581394432}\)
微度栗娜 \(10^{7 \times 2^{41}} = 10^{15393162788864}\)
奢彌陀 \(10^{7 \times 2^{42}} = 10^{30786325577728}\)
儞[口*尸]嚩囉 \(10^{7 \times 2^{43}} = 10^{61572651155456}\)
微者囉 \(10^{7 \times 2^{44}} = 10^{123145302310912}\)
微舍囉 \(10^{7 \times 2^{45}} = 10^{246290604621824}\)
微儞薩多 \(10^{7 \times 2^{46}} = 10^{492581209243648}\)
阿瓢孽哆 \(10^{7 \times 2^{47}} = 10^{985162418487296}\)
微悉步多 \(10^{7 \times 2^{48}} = 10^{1970324836974592}\)
泥嚩囉 \(10^{7 \times 2^{49}} = 10^{3940649673949184}\)
波哩殺陀 \(10^{7 \times 2^{50}} = 10^{7881299347898368}\)
微目差 \(10^{7 \times 2^{51}} = 10^{15762598695796736}\)
鉢哩哆 \(10^{7 \times 2^{52}} = 10^{31525197391593472}\)
喝哩多 \(10^{7 \times 2^{53}} = 10^{63050394783186944}\)
阿嚕迦 \(10^{7 \times 2^{54}} = 10^{126100789566373888}\)
印[寧*吉]哩耶 \(10^{7 \times 2^{55}} = 10^{252201579132747776}\)
系嚕迦 \(10^{7 \times 2^{56}} = 10^{504403158265495552}\)
奴嚩那 \(10^{7 \times 2^{57}} = 10^{1008806316530991104}\)
何嚕那 \(10^{7 \times 2^{58}} = 10^{2017612633061982208}\)
婆嚕陀 \(10^{7 \times 2^{59}} = 10^{4035225266123964416}\)
謎嚕陀 \(10^{7 \times 2^{60}} = 10^{8070450532247928832}\)
乞羼耶 \(10^{7 \times 2^{61}} = 10^{16140901064495857664}\)
阿差目多 \(10^{7 \times 2^{62}} = 10^{32281802128991715328}\)
翳嚕婆耶 \(10^{7 \times 2^{63}} = 10^{64563604257983430656}\)
微麼嚕耶 \(10^{7 \times 2^{64}} = 10^{129127208515966861312}\)
曼弩婆耶 \(10^{7 \times 2^{65}} = 10^{258254417031933722624}\)
微灑馱耶 \(10^{7 \times 2^{66}} = 10^{516508834063867445248}\)
三麼陀 \(10^{7 \times 2^{67}} = 10^{1033017668127734890496}\)
鉢囉麼怛囉 \(10^{7 \times 2^{68}} = 10^{2066035336255469780992}\)
阿囉麼怛囉 \(10^{7 \times 2^{69}} = 10^{4132070672510939561984}\)
勃麼怛囉勃麼 \(10^{7 \times 2^{70}} = 10^{8264141345021879123968}\)
阿畔麼怛囉 \(10^{7 \times 2^{71}} = 10^{16528282690043758247936}\)
伽麼怛囉 \(10^{7 \times 2^{72}} = 10^{33056565380087516495872}\)
那麼怛囉 \(10^{7 \times 2^{73}} = 10^{66113130760175032991744}\)
奚麼怛囉 \(10^{7 \times 2^{74}} = 10^{132226261520350065983488}\)
鞞麼怛囉 \(10^{7 \times 2^{75}} = 10^{264452523040700131966976}\)
鉢囉麼怛囉 \(10^{7 \times 2^{76}} = 10^{528905046081400263933952}\)
尸麼怛囉 \(10^{7 \times 2^{77}} = 10^{1057810092162800527867904}\)
翳囉 \(10^{7 \times 2^{78}} = 10^{2115620184325601055735808}\)
薜羅 \(10^{7 \times 2^{79}} = 10^{4231240368651202111471616}\)
帝羅 \(10^{7 \times 2^{80}} = 10^{8462480737302404222943232}\)
偈羅 \(10^{7 \times 2^{81}} = 10^{16924961474604808445886464}\)
窣步囉 \(10^{7 \times 2^{82}} = 10^{33849922949209616891772928}\)
制羅耶 \(10^{7 \times 2^{83}} = 10^{67699845898419233783545856}\)
泥羅 \(10^{7 \times 2^{84}} = 10^{135399691796838467567091712}\)
計羅 \(10^{7 \times 2^{85}} = 10^{270799383593676935134183424}\)
細羅 \(10^{7 \times 2^{86}} = 10^{541598767187353870268366848}\)
嫓羅 \(10^{7 \times 2^{87}} = 10^{1083197534374707740536733696}\)
謎羅 \(10^{7 \times 2^{88}} = 10^{2166395068749415481073467392}\)
娑邏茶 \(10^{7 \times 2^{89}} = 10^{4332790137498830962146934784}\)
謎嚕陀 \(10^{7 \times 2^{90}} = 10^{8665580274997661924293869568}\)
冥嚕陀 \(10^{7 \times 2^{91}} = 10^{17331160549995323848587739136}\)
契嚕陀 \(10^{7 \times 2^{92}} = 10^{34662321099990647697175478272}\)
摩覩羅 \(10^{7 \times 2^{93}} = 10^{69324642199981295394350956544}\)
珠嚕哆 \(10^{7 \times 2^{94}} = 10^{138649284399962590788701913088}\)
娑母羅 \(10^{7 \times 2^{95}} = 10^{277298568799925181577403826176}\)
阿野娑 \(10^{7 \times 2^{96}} = 10^{554597137599850363154807652352}\)
迦麼羅 \(10^{7 \times 2^{97}} = 10^{1109194275199700726309615304704}\)
摩伽婆 \(10^{7 \times 2^{98}} = 10^{2218388550399401452619230609408}\)
阿婆囉 \(10^{7 \times 2^{99}} = 10^{4436777100798802905238461218816}\)
系嚕婆 \(10^{7 \times 2^{100}} = 10^{8873554201597605810476922437632}\)
吠嚧婆 \(10^{7 \times 2^{101}} = 10^{17747108403195211620953844875264}\)
迦澁嚩羅 \(10^{7 \times 2^{102}} = 10^{35494216806390423241907689750528}\)
何婆羅 \(10^{7 \times 2^{103}} = 10^{70988433612780846483815379501056}\)
毘婆囉 \(10^{7 \times 2^{104}} = 10^{141976867225561692967630759002112}\)
那婆羅 \(10^{7 \times 2^{105}} = 10^{283953734451123385935261518004224}\)
寧畔多 \(10^{7 \times 2^{106}} = 10^{567907468902246771870523036008448}\)
摩婆羅 \(10^{7 \times 2^{107}} = 10^{1135814937804493543741046072016896}\)
娑囉那 \(10^{7 \times 2^{108}} = 10^{2271629875608987087482092144033792}\)
勃邏摩 \(10^{7 \times 2^{109}} = 10^{4543259751217974174964184288067584}\)
勃邏麼那 \(10^{7 \times 2^{110}} = 10^{9086519502435948349928368576135168}\)
微伽摩 \(10^{7 \times 2^{111}} = 10^{18173039004871896699856737152270336}\)
鄔波跋多 \(10^{7 \times 2^{112}} = 10^{36346078009743793399713474304540672}\)
儞哩泥捨 \(10^{7 \times 2^{113}} = 10^{72692156019487586799426948609081344}\)
阿差耶 \(10^{7 \times 2^{114}} = 10^{145384312038975173598853897218162688}\)
三姥馱 \(10^{7 \times 2^{115}} = 10^{290768624077950347197707794436325376}\)
阿畔多 \(10^{7 \times 2^{116}} = 10^{581537248155900694395415588872650752}\)
阿嚩摩娜 \(10^{7 \times 2^{117}} = 10^{1163074496311801388790831177745301504}\)
優鉢羅 \(10^{7 \times 2^{118}} = 10^{2326148992623602777581662355490603008}\)
波頭摩 \(10^{7 \times 2^{119}} = 10^{4652297985247205555163324710981206016}\)
僧祇 \(10^{7 \times 2^{120}} = 10^{9304595970494411110326649421962412032}\)
阿婆儉弭耶 \(10^{7 \times 2^{121}} = 10^{18609191940988822220653298843924824064}\)
孽[亭*也] \(10^{7 \times 2^{122}} = 10^{37218383881977644441306597687849648128}\)
阿僧祇 \(10^{7 \times 2^{123}} = 10^{74436767763955288882613195375699296256}\)
阿僧祇轉 \(10^{7 \times 2^{124}} = 10^{148873535527910577765226390751398592512}\)
無量 \(10^{7 \times 2^{125}} = 10^{297747071055821155530452781502797185024}\)
無量轉 \(10^{7 \times 2^{126}} = 10^{595494142111642311060905563005594370048}\)
無邊 \(10^{7 \times 2^{127}} = 10^{1190988284223284622121811126011188740096}\)
無邊轉 \(10^{7 \times 2^{128}} = 10^{2381976568446569244243622252022377480192}\)
無等 \(10^{7 \times 2^{129}} = 10^{4763953136893138488487244504044754960384}\)
無等轉 \(10^{7 \times 2^{130}} = 10^{9527906273786276976974489008089509920768}\)
不可數 \(10^{7 \times 2^{131}} = 10^{19055812547572553953948978016179019841536}\)
不可數轉 \(10^{7 \times 2^{132}} = 10^{38111625095145107907897956032358039683072}\)
不可稱 \(10^{7 \times 2^{133}} = 10^{76223250190290215815795912064716079366144}\)
不可稱轉 \(10^{7 \times 2^{134}} = 10^{152446500380580431631591824129432158732288}\)
不可思 \(10^{7 \times 2^{135}} = 10^{304893000761160863263183648258864317464576}\)
不可思轉 \(10^{7 \times 2^{136}} = 10^{609786001522321726526367296517728634929152}\)
不可量 \(10^{7 \times 2^{137}} = 10^{1219572003044643453052734593035457269858304}\)
不可量轉 \(10^{7 \times 2^{138}} = 10^{2439144006089286906105469186070914539716608}\)
不可說 \(10^{7 \times 2^{139}} = 10^{4878288012178573812210938372141829079433216}\)
不可說轉 \(10^{7 \times 2^{140}} = 10^{9756576024357147624421876744283658158866432}\)
不可說不可說此 \(10^{7 \times 2^{141}} = 10^{19513152048714295248843753488567316317732864}\)
不可說不可說轉 \(10^{7 \times 2^{142}} = 10^{39026304097428590497687506977134632635465728}\)