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 | \(10^{7 \times 2^{142}} = 10^{39026304097428590497687506977134632635465728}\) |