128138033122921440776585728

Names of 128138033122921440776585728

• Cardinal: 128138033122921440776585728 can be written as One hundred twenty-eight septillion, one hundred thirty-eight sextillion, thirty-three quintillion, one hundred twenty-two quadrillion, nine hundred twenty-one trillion, four hundred forty billion, seven hundred seventy-six million, five hundred eighty-five thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.28138033122921440776585728 × 10²⁶

Factors of 128138033122921440776585728

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 4001

Divisors of 128138033122921440776585728

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 887 1058 1472 1774 2116 2944 3089 3548 4232 5888 6178 7096 8464 11776 12167 12356 14192 16928 20401 24334 24712 28384 33856 40802 48668 49424 56768 67712 71047 81604 97336 98848 113536 135424 142094 163208 194672 197696 227072 270848 284188 326416 389344 395392 454144 469223 568376 652832 778688 786769 790784 938446 1136752 1305664 1557376 1573538 1581568 1634081 1876892 2273504 2611328 2739943 3114752 3147076 3268162 3753784 4547008 5222656 5479886 6229504 6294152 6536324 7507568 9094016 9541921 10445312 10792129 10959772 12588304 13072648 15015136 18095687 18188032 19083842 21584258 21919544 25176608 26145296 30030272 36191374 36376064 37583863 38167684 43168516 43839088 50353216 52290592 60060544 63018689 72382748 75167726 76335368 86337032 87678176 100706432 104581184 120121088 126037378 144765496 150335452 152670736 172674064 175356352 201412864 209162368 219464183 240242176 252074756 289530992 300670904 305341472 345348128 350712704 402825728 416200801 418324736 438928366 504149512 579061984 601341808 610682944 690696256 697864103 701425408 832401602 836649472 877856732 1008299024 1158123968 1202683616 1221365888 1381392512 1395728206 1402850816 1449429847 1664803204 1755713464 2016598048 2316247936 2405367232 2430329441 2442731776 2762785024 2791456412 2898859694 3329606408 3511426928 4033196096 4632495872 4810734464 4860658882 4885463552 5047676209 5525570048 5582912824 5797719388 6659212816 7022853856 8066392192 8463683927 9264991744 9572618423 9621468928 9721317764 10095352418 11165825648 11595438776 13318425632 14045707712 16050874369 16132784384 16927367854 19145236846 19242937856 19442635528 20190704836 22331651296 23190877552 26636851264 28091415424 32101748738 32265568768 33336886481 33854735708 38290473692 38885271056 40381409672 44663302592 46381755104 53273702528 55897577143 56182830848 64203497476 66673772962 67709471416 76580947384 77770542112 80762819344 89326605184 92763510208 106547405056 111795154286 112365661696 116096552807 128406994952 133347545924 135418942832 153161894768 155541084224 161525638688 178653210368 185527020416 194664730321 213094810112 223590308572 232193105614 256813989904 266695091848 270837885664 306323789536 311082168448 323051277376 357306420736 369170110487 371054040832 389329460642 447180617144 464386211228 513627979808 533390183696 541675771328 612647579072 622164336896 646102554752 738340220974 742108081664 778658921284 894361234288 928772422456 1027255959616 1066780367392 1083351542656 1225295158144 1244328673792 1285644274289 1292205109504 1476680441948 1557317842568 1788722468576 1857544844912 2054511919232 2133560734784 2155702214167 2166703085312 2450590316288 2571288548578 2584410219008 2953360883896 3114635685136 3577444937152 3715089689824 4109023838464 4267121469568 4311404428334 4333406170624 4477288797383 4901180632576 5142577097156 5906721767792 6229271370272 7154889874304 7430179379648 7507287643249 8218047676928 8490912541201 8534242939136 8622808856668 8954577594766 10285154194312 11813443535584 12458542740544 14309779748608 14860358759296 15014575286498 16981825082402 17068485878272 17245617713336 17909155189532 20570308388624 23626887071168 24917085481088 28619559497216 29569818308647 29720717518592 30029150572996 33963650164804 34491235426672 35818310379064 41140616777248 47253774142336 49581150925841 49834170962176 59139636617294 59441435037184 60058301145992 67927300329608 68982470853344 71636620758128 82281233554496 94507548284672 99162301851682 99668341924352 102977642339809 118279273234588 120116602291984 135854600659216 137964941706688 143273241516256 164562467108992 172667615794727 189015096569344 198324603703364 205955284679618 236558546469176 240233204583968 271709201318432 275929883413376 286546483032512 329124934217984 345335231589454 396649207406728 411910569359236 473117092938352 480466409167936 543418402636864 551859766826752 573092966065024 658249868435968 690670463178908 793298414813456 823821138718472 946234185876704 960932818335872 1086836805273728 1103719533653504 1140366471294343 1146185932130048 1381340926357816 1586596829626912 1647642277436944 1892468371753408 1921865636671744 2173673610547456 2280732942588686 2292371864260096 2762681852715632 3173193659253824 3295284554873888 3784936743506816 3843731273343488 3971355163278721 4347347221094912 4561465885177372 5525363705431264 6346387318507648 6590569109747776 6658964139561863 7569873487013632 7942710326557442 9122931770354744 11050727410862528 12692774637015296 13181138219495552 13317928279123726 15139746974027264 15885420653114884 18245863540709488 22101454821725056 25385549274030592 26228428839769889 26362276438991104 26635856558247452 31770841306229768 36491727081418976 44202909643450112 52456857679539778 52724552877982208 53271713116494904 63541682612459536 72983454162837952 88405819286900224 91341168755410583 104913715359079556 106543426232989808 127083365224919072 145966908325675904 153156175209922849 182682337510821166 209827430718159112 213086852465979616 254166730449838144 291933816651351808 306312350419845698 365364675021642332 419654861436318224 426173704931959232 508333460899676288 583867633302703616 612624700839691396 730729350043284664 839309722872636448 852347409863918464 1016666921799352576 1225249401679382792 1461458700086569328 1678619445745272896 1704694819727836928 2033333843598705152 2450498803358765584 2922917400173138656 3357238891490545792 3409389639455673856 3522592029828225527 4900997606717531168 5845834800346277312 6714477782981091584 7045184059656451054 9801995213435062336 11691669600692554624 13428955565962183168 14090368119312902108 19603990426870124672 23383339201385109248 28180736238625804216 39207980853740249344 46766678402770218496 56361472477251608432 78415961707480498688 81019616686049187121 112722944954503216864 162039233372098374242 225445889909006433728 324078466744196748484 450891779818012867456 648156933488393496968 901783559636025734912 1296313866976786993936 1803567119272051469824 2592627733953573987872 5185255467907147975744 10370510935814295951488 20741021871628591902976 41482043743257183805952
• Sum of all divisors σ(n): 128183327140827488951941376
• Sum of proper divisors (its aliquot sum) s(n): 45294017906048175355648
• 128138033122921440776585728 is a deficient number, because the sum of its proper divisors (45294017906048175355648) is less than itself. Its deficiency is 128092739105015392601230080

Bases of 128138033122921440776585728

• Binary: 110100111111110010010001011000111001010011001010000100101000010111010001000001000000000₂
• Hexadecimal: 0x69FE48B1CA650942E88200
• Base-36: G3M6N325Q23NSKC1S

Squares and roots of 128138033122921440776585728

• 128138033122921440776585728 squared (128138033122921440776585728²) is 16419355532610912284385055886177720541502032933289984
• 128138033122921440776585728 cubed (128138033122921440776585728³) is 2103943923094720493148175143143658639734518528140018663551811229835937659748352
• The square root of 128138033122921440776585728 is 11319807115093.5006016477
• 128138033122921440776585728 is a perfect cube number. Its cube root is 504149512

Scales and comparisons

• 128,138,033,122,921,440,776,585,728 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 128,138,033,122,921,440,776,585,728 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 128138033122921440776585728 cubic inches would be around 42012459.3 feet tall.

Recreational maths with 128138033122921440776585728

• 128138033122921440776585728 backwards is 827585677044129221330831821
• The number of decimal digits it has is: 27
• The sum of 128138033122921440776585728's digits is 109
• More coming soon!