138673957581006848
138,673,957,581,006,848 is an even composite number composed of five prime numbers multiplied together.
138673957581006848 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138673957581006848:
211 × 7 × 113 × 133 × 1493
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 11 × 13 × 13 × 13 × 149 × 149 × 149)See below for interesting mathematical facts about the number 138673957581006848 from the Numbermatics database.
Names of 138673957581006848
- Cardinal: 138673957581006848 can be written as One hundred thirty-eight quadrillion, six hundred seventy-three trillion, nine hundred fifty-seven billion, five hundred eighty-one million, six thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.38673957581006848 × 1017
Factors of 138673957581006848
Divisors of 138673957581006848
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 121 128 143 149 154 169 176 182 208 224 242 256 286 298 308 338 352 364 416 448 484 512 572 596 616 676 704 728 832 847 896 968 1001 1024 1043 1144 1183 1192 1232 1331 1352 1408 1456 1573 1639 1664 1694 1792 1859 1936 1937 2002 2048 2086 2197 2288 2366 2384 2464 2662 2704 2816 2912 3146 3278 3328 3388 3584 3718 3872 3874 4004 4172 4394 4576 4732 4768 4928 5324 5408 5632 5824 6292 6556 6656 6776 7168 7436 7744 7748 8008 8344 8788 9152 9317 9464 9536 9856 10648 10816 11011 11264 11473 11648 12584 13013 13112 13312 13552 13559 14336 14872 15379 15488 15496 16016 16688 17303 17576 18029 18304 18634 18928 19072 19712 20449 21296 21307 21632 22022 22201 22528 22946 23296 24167 25168 25181 26026 26224 26624 27104 27118 29744 30758 30976 30992 32032 33376 34606 35152 36058 36608 37268 37856 38144 39424 40898 42592 42614 43264 44044 44402 45892 46592 48334 50336 50362 52052 52448 54208 54236 59488 61516 61952 61984 64064 66752 69212 70304 72116 73216 74536 75712 76288 78848 81796 85184 85228 86528 88088 88804 91784 93184 96668 100672 100724 104104 104896 108416 108472 118976 121121 123032 123904 123968 126203 128128 133504 138424 140608 143143 144232 146432 149072 149149 151424 152576 155407 157696 163592 169169 170368 170456 173056 176176 176267 177608 183568 186368 193336 198319 201344 201448 208208 209792 216832 216944 224939 234377 237952 242242 244211 246064 247808 247936 252406 256256 265837 267008 276848 276991 281216 286286 288464 288613 292864 298144 298298 302848 305152 310814 327184 327353 338338 340736 340912 346112 352352 352534 355216 367136 386672 396638 402688 402896 416416 419584 433664 433888 449878 468754 475904 484484 488422 492128 495872 504812 512512 531674 534016 553696 553982 562432 572572 576928 577226 596288 596596 605696 621628 654368 654706 676676 681472 681824 704704 705068 710432 734272 773344 793276 805376 805792 832832 839168 867328 867776 899756 937508 951808 968968 976844 984256 991744 1009624 1025024 1063348 1068032 1107392 1107964 1124864 1145144 1153856 1154452 1192576 1193192 1211392 1243256 1308736 1309412 1353352 1362944 1363648 1388233 1409408 1410136 1420864 1468544 1546688 1574573 1586552 1610752 1611584 1640639 1665664 1678336 1709477 1734656 1735552 1799512 1860859 1875016 1903616 1937936 1938937 1953688 1968512 1983488 2019248 2020291 2050048 2126696 2136064 2214784 2215928 2249728 2290288 2291471 2307712 2308904 2385152 2386384 2422784 2486512 2578147 2617472 2618824 2686321 2706704 2725888 2727296 2776466 2818816 2820272 2841728 2924207 2937088 3046901 3093376 3149146 3173104 3174743 3221504 3223168 3281278 3307949 3331328 3356672 3418954 3471104 3599024 3600883 3721718 3750032 3751969 3807232 3875872 3877874 3907376 3937024 3966976 4038496 4040582 4253392 4429568 4431856 4499456 4580576 4582942 4615424 4617808 4770304 4772768 4973024 5156294 5234944 5237648 5372642 5413408 5454592 5552932 5637632 5640544 5683456 5848414 5874176 6093802 6186752 6298292 6346208 6349486 6446336 6562556 6615898 6662656 6837908 6942208 7198048 7201766 7443436 7500064 7503938 7751744 7755748 7814752 7874048 8076992 8081164 8506784 8859136 8863712 9161152 9165884 9230848 9235616 9540608 9545536 9946048 10312588 10469888 10475296 10745284 10826816 10909184 11105864 11275264 11281088 11366912 11696828 11748352 12187604 12373504 12596584 12692416 12698972 12892672 13125112 13231796 13325312 13675816 13884416 14396096 14403532 14886872 15000128 15007876 15503488 15511496 15629504 15748096 16153984 16162328 17013568 17718272 17727424 18047029 18322304 18331768 18461696 18471232 18804247 19081216 19091072 19892096 20469449 20625176 20939776 20950592 21328307 21490568 21653632 21818368 22211728 22223201 22550528 22562176 22733824 23155643 23393656 23496704 24375208 24747008 25193168 25206181 25384832 25397944 25785344 26250224 26263783 26463592 26650624 27351632 27768832 28792192 28807064 29549531 29773744 30000256 30015752 31006976 31022992 31259008 31496192 32307968 32324656 33515911 34027136 34922173 35436544 35454848 36094058 36387439 36644608 36663536 36923392 36942464 37608494 38182144 39609713 39784192 40938898 41250352 41271659 41879552 41901184 42656614 42981136 43003337 43307264 43636736 44423456 44446402 45124352 45467648 46311286 46787312 48750416 48775597 49494016 50386336 50412362 50769664 50795888 51570688 52500448 52527566 52927184 54703264 57584384 57614128 59099062 59547488 60000512 60031504 62013952 62045984 62518016 64615936 64649312 67031822 68054272 69844346 70909696 72188116 72774878 73289216 73327072 73884928 75216988 76364288 79219426 79568384 81877796 82500704 82543318 83802368 85313228 85962272 86006674 86614528 88846912 88892804 90248704 92622572 93574624 97500832 97551194 100772672 100824724 101539328 101591776 105000896 105055132 105854368 109406528 115168768 115228256 118198124 119094976 120001024 120063008 124027904 124091968 125036032 129231872 129298624 134063644 136108544 139688692 141819392 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70446081904 70980605696 71520610304 71557552768 72847652878 73958812928 74521475072 77061979904 79901931824 79943203483 81120692224 82625861318 83254460432 84524357632 86048234272 86092680674 87405869824 88070834176 89658649696 94429555792 97598332832 98340839168 98391635056 99892422656 101693367776 101745895342 102467028224 105905519104 105960222368 111540951808 114474883094 116220991744 116281023248 120121025024 120183071008 121097396992 123280643332 125161068032 125225717344 129840639214 130412581376 135288498202 137352081152 139828380692 140892163808 141961211392 143115105536 145695305756 147917625856 154123959808 159803863648 159886406966 165251722636 166508920864 172096468544 172185361348 174811739648 179317299392 188859111584 195196665664 196681678336 196783270112 203386735552 203491790684 204934056448 211811038208 211920444736 223081903616 228949766188 232441983488 232562046496 240242050048 240366142016 242194793984 246561286664 250322136064 250451434688 259681278428 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961464568064 968779175936 986245146656 1001805738752 1038725113712 1082307985616 1098816649216 1118627045536 1119204848762 1127137310464 1144920844288 1165562446048 1278430909184 1279091255728 1322013781088 1332071366912 1376771748352 1377482890784 1434538395136 1488173480222 1510872892672 1561573325312 1574266160896 1602648363316 1627093884416 1627934325472 1695363557888 1758750476626 1817768948996 1831598129504 1860496371968 1894038974828 1922929136128 1972490293312 2003611477504 2077450227424 2164615971232 2237254091072 2238409697524 2254274620928 2331124892096 2556861818368 2558182511456 2644027562176 2664142733824 2753543496704 2754965781568 2869076790272 2976346960444 3021745785344 3123146650624 3148532321792 3205296726632 3254187768832 3255868650944 3390727115776 3517500953252 3635537897992 3663196259008 3720992743936 3788077949656 3845858272256 3944980586624 4007222955008 4154900454848 4329231942464 4474508182144 4476819395048 4508549241856 4662249784192 5113723636736 5116365022912 5208607180777 5288055124352 5328285467648 5507086993408 5509931563136 5738153580544 5952693920888 6043491570688 6155626668191 6246293301248 6297064643584 6410593453264 6508375537664 6511737301888 6781454231552 7035001906504 7271075795984 7326392518016 7441985487872 7576155899312 7691716544512 7889961173248 8014445910016 8309800909696 8658463884928 8949016364288 8953638790096 9017098483712 9324499568384 9673127621443 10227447273472 10232730045824 10417214361554 10576110248704 10656570935296 11019863126272 11905387841776 12086983141376 12311253336382 12594129287168 12821186906528 13023474603776 14070003813008 14542151591968 14652785036032 14883970975744 15152311798624 15779922346496 16619601819392 17316927769856 17898032728576 17907277580192 18648999136768 19346255242886 20465460091648 20834428723108 21152220497408 22039726252544 23810775683552 24622506672764 25642373813056 26046949207552 28140007626016 29084303183936 29305570072064 30304623597248 31559844692992 33239203638784 34633855539712 35796065457152 35814555160384 37297998273536 38692510485772 40930920183296 41668857446216 42304440994816 44079452505088 47621551367104 49245013345528 51284747626112 52093898415104 56280015252032 58168606367872 58611140144128 60609247194496 63119689385984 66478407277568 67711893350101 69267711079424 71592130914304 71629110320768 74595996547072 77385020971544 81861840366592 83337714892432 84608881989632 88158905010176 95243102734208 98490026691056 102569495252224 104187796830208 112560030504064 116337212735744 117222280288256 121218494388992 132956814555136 135423786700202 138535422158848 143258220641536 154770041943088 163723680733184 166675429784864 190486205468416 196980053382112 205138990504448 225120061008128 232674425471488 242436988777984 270847573400404 286516441283072 309540083886176 333350859569728 380972410936832 393960106764224 410277981008896 450240122016256 465348850942976 484873977555968 541695146800808 573032882566144 619080167772352 666701719139456 761944821873664 787920213528448 820555962017792 900480244032512 930697701885952 969747955111936 1083390293601616 1146065765132288 1238160335544704 1333403438278912 1523889643747328 1575840427056896 1800960488065024 2166780587203232 2476320671089408 2666806876557824 3151680854113792 4333561174406464 4952641342178816 5333613753115648 6303361708227584 8667122348812928 9905282684357632 10667227506231296 12606723416455168 17334244697625856 19810565368715264 34668489395251712 69336978790503424 138673957581006848
- Sum of all divisors σ(n): 380141500152960000
- Sum of proper divisors (its aliquot sum) s(n): 241467542571953152
- 138673957581006848 is an abundant number, because the sum of its proper divisors (241467542571953152) is greater than itself. Its abundance is 102793584990946304
Bases of 138673957581006848
- Binary: 1111011001010101100111010110011010011011010101000000000002
- Hexadecimal: 0x1ECAB3ACD36A800
- Base-36: 11XFTCN48ZY8
Squares and roots of 138673957581006848
- 138673957581006848 squared (1386739575810068482) is 19230466511178886650084029422895104
- 138673957581006848 cubed (1386739575810068483) is 2666764897234193679851228439291891337742071409672192
-
The
square root of 138673957581006848 is 372389523.9947102057 -
The
cube root of 138673957581006848 is 517604.8097900379
Scales and comparisons
How big is 138673957581006848?- 138,673,957,581,006,848 seconds is equal to 4,409,402,904 years, 18 weeks, 5 days, 13 hours, 54 minutes, 8 seconds.
-
To count from 1 to 138,673,957,581,006,848 would take you about thirteen billion, two hundred twenty-eight million, two hundred eight thousand, seven hundred thirteen 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 138673957581006848 cubic inches would be around 43133.7 feet tall.
Recreational maths with 138673957581006848
- 138673957581006848 backwards is 848600185759376831
- The number of decimal digits it has is: 18
- The sum of 138673957581006848's digits is 89
- More coming soon!
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"Number 138673957581006848 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138673957581006848 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138673957581006848/
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The information we have on file for 138673957581006848 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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