138313957329112500
138,313,957,329,112,500 is an even composite number composed of four prime numbers multiplied together.
What does the number 138313957329112500 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1710 divisors.
138313957329112500 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ten divisors.
Prime factorization of 138313957329112500:
22 × 318 × 55 × 134
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 138313957329112500 from the Numbermatics database.
Names of 138313957329112500
- Cardinal: 138313957329112500 can be written as One hundred thirty-eight quadrillion, three hundred thirteen trillion, nine hundred fifty-seven billion, three hundred twenty-nine million, one hundred twelve thousand, five hundred.
Scientific notation
- Scientific notation: 1.383139573291125 × 1017
Factors of 138313957329112500
Divisors of 138313957329112500
- Number of divisors d(n): 1710
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 81 90 100 108 117 125 130 135 150 156 162 169 180 195 225 234 243 250 260 270 300 324 325 338 351 375 390 405 450 468 486 500 507 540 585 625 650 675 676 702 729 750 780 810 845 900 972 975 1014 1053 1125 1170 1215 1250 1300 1350 1404 1458 1500 1521 1620 1625 1690 1755 1875 1950 2025 2028 2106 2187 2197 2250 2340 2430 2500 2535 2700 2916 2925 3042 3125 3159 3250 3375 3380 3510 3645 3750 3900 4050 4212 4225 4374 4394 4500 4563 4860 4875 5070 5265 5625 5850 6075 6084 6250 6318 6500 6561 6591 6750 7020 7290 7500 7605 8100 8125 8450 8748 8775 8788 9126 9375 9477 9750 10125 10140 10530 10935 10985 11250 11700 12150 12500 12636 12675 13122 13182 13500 13689 14580 14625 15210 15795 16250 16875 16900 17550 18225 18252 18750 18954 19500 19683 19773 20250 21060 21125 21870 21970 22500 22815 24300 24375 25350 26244 26325 26364 27378 28125 28431 28561 29250 30375 30420 31590 32500 32805 32955 33750 35100 36450 37500 37908 38025 39366 39546 40500 40625 41067 42250 43740 43875 43940 45630 47385 48750 50625 50700 52650 54675 54756 54925 56250 56862 57122 58500 59049 59319 60750 63180 63375 65610 65910 67500 68445 72900 73125 76050 78732 78975 79092 81250 82134 84375 84500 85293 85683 87750 91125 91260 94770 97500 98415 98865 101250 105300 105625 109350 109850 112500 113724 114075 114244 118098 118638 121500 121875 123201 126750 131220 131625 131820 136890 142155 142805 146250 151875 152100 157950 162500 164025 164268 164775 168750 170586 171366 175500 177147 177957 182250 189540 190125 196830 197730 202500 205335 211250 218700 219375 219700 228150 236196 236925 237276 243750 246402 253125 253500 255879 257049 263250 273375 273780 274625 284310 285610 292500 295245 296595 303750 315900 316875 328050 329550 337500 341172 342225 342732 354294 355914 364500 365625 369603 380250 393660 394875 395460 410670 422500 426465 428415 438750 455625 456300 473850 487500 492075 492804 494325 506250 511758 514098 526500 528125 531441 533871 546750 549250 568620 570375 571220 590490 593190 607500 616005 633750 656100 658125 659100 684450 708588 710775 711828 714025 731250 739206 759375 760500 767637 771147 789750 820125 821340 823875 852930 856830 877500 885735 889785 911250 947700 950625 984150 988650 1012500 1023516 1026675 1028196 1056250 1062882 1067742 1093500 1096875 1098500 1108809 1140750 1180980 1184625 1186380 1232010 1267500 1279395 1285245 1316250 1366875 1368900 1373125 1421550 1428050 1462500 1476225 1478412 1482975 1518750 1535274 1542294 1579500 1584375 1594323 1601613 1640250 1647750 1705860 1711125 1713660 1771470 1779570 1822500 1848015 1901250 1968300 1974375 1977300 2053350 2112500 2125764 2132325 2135484 2142075 2193750 2217618 2278125 2281500 2302911 2313441 2369250 2460375 2464020 2471625 2558790 2570490 2632500 2657205 2669355 2733750 2746250 2843100 2851875 2856100 2952450 2965950 3037500 3070548 3080025 3084588 3168750 3188646 3203226 3280500 3290625 3295500 3326427 3422250 3542940 3553875 3559140 3570125 3696030 3802500 3838185 3855735 3948750 4100625 4106700 4119375 4264650 4284150 4387500 4428675 4435236 4448925 4556250 4605822 4626882 4738500 4753125 4782969 4804839 4920750 4943250 5117580 5133375 5140980 5314410 5338710 5467500 5492500 5544045 5703750 5904900 5923125 5931900 6160050 6337500 6377292 6396975 6406452 6426225 6581250 6652854 6834375 6844500 6865625 6908733 6940323 7107750 7140250 7381125 7392060 7414875 7676370 7711470 7897500 7971615 8008065 8201250 8238750 8529300 8555625 8568300 8857350 8897850 9112500 9211644 9240075 9253764 9506250 9565938 9609678 9841500 9871875 9886500 9979281 10266750 10628820 10661625 10677420 10710375 11088090 11407500 11514555 11567205 11846250 12301875 12320100 12358125 12793950 12852450 13162500 13286025 13305708 13346775 13668750 13731250 13817466 13880646 14215500 14259375 14280500 14348907 14414517 14762250 14829750 15352740 15400125 15422940 15943230 16016130 16402500 16477500 16632135 17111250 17714700 17769375 17795700 17850625 18480150 19012500 19131876 19190925 19219356 19278675 19743750 19958562 20503125 20533500 20596875 20726199 20820969 21323250 21420750 22143375 22176180 22244625 23029110 23134410 23692500 23914845 24024195 24603750 24716250 25587900 25666875 25704900 26572050 26693550 27337500 27462500 27634932 27720225 27761292 28518750 28697814 28829034 29524500 29615625 29659500 29937843 30800250 31886460 31984875 32032260 32131125 33264270 34222500 34543665 34701615 35538750 35701250 36905625 36960300 37074375 38381850 38557350 39487500 39858075 39917124 40040325 41006250 41193750 41452398 41641938 42646500 42778125 42841500 43046721 43243551 44286750 44489250 46058220 46200375 46268820 47829690 48048390 49207500 49432500 49896405 51333750 53144100 53308125 53387100 53551875 55440450 57037500 57395628 57572775 57658068 57836025 59231250 59875686 61509375 61600500 61790625 62178597 62462907 63969750 64262250 66430125 66528540 66733875 69087330 69403230 71077500 71402500 71744535 72072585 73811250 74148750 76763700 77000625 77114700 79716150 80080650 82012500 82387500 82904796 83160675 83283876 85556250 86093442 86487102 88573500 88846875 88978500 89253125 89813529 92400750 95659380 95954625 96096780 96393375 99792810 102667500 103630995 104104845 106616250 107103750 110716875 110880900 111223125 115145550 115672050 118462500 119574225 119751372 120120975 123018750 123581250 124357194 124925814 127939500 128334375 128524500 129140163 129730653 132860250 133467750 138174660 138601125 138806460 143489070 144145170 147622500 148297500 149689215 154001250 159432300 159924375 160161300 160655625 166321350 171112500 172186884 172718325 172974204 173508075 177693750 178506250 179627058 184528125 184801500 185371875 186535791 187388721 191909250 192786750 199290375 199585620 200201625 207261990 208209690 213232500 214207500 215233605 216217755 221433750 222446250 230291100 231001875 231344100 239148450 240241950 246037500 247162500 248714388 249482025 249851628 256668750 258280326 259461306 265720500 266540625 266935500 267759375 269440587 277202250 286978140 287863875 288290340 289180125 299378430 308002500 310892985 312314535 319848750 321311250 332150625 332642700 333669375 345436650 347016150 355387500 357012500 358722675 359254116 360362925 369056250 370743750 373071582 374777442 383818500 385003125 385573500 387420489 389191959 398580750 400403250 414523980 415803375 416419380 430467210 432435510 442867500 444892500 449067645 462003750 478296900 479773125 480483900 481966875 498964050 513337500 516560652 518154975 518922612 520524225 533081250 535518750 538881174 553584375 554404500 556115625 559607373 562166163 575727750 578360250 597871125 598756860 600604875 621785970 624629070 639697500 642622500 645700815 648653265 664301250 667338750 690873300 693005625 694032300 717445350 720725850 738112500 741487500 746143164 748446075 749554884 770006250 774840978 778383918 797161500 799621875 800806500 803278125 808321761 831606750 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269042006250 270272193750 273212755218 279803686500 280667278125 281083081500 283720938111 291893969250 303120660375 303569728020 315245486790 322850407500 324326632500 327370313205 336800733750 349754608125 350272763100 351353851875 363744792450 374223037500 378294584148 379462160025 388616231250 390393168750 403563009375 404160880500 405408290625 409819132827 419705529750 421624622250 436493750940 437840953875 455354592030 466339477500 468471802500 472868230185 484275611250 486489948750 503646635700 505201100625 505949546700 525409144650 538084012500 540544387500 545617188675 546425510436 561334556250 567441876222 582924346875 583787938500 585589753125 606241320750 629558294625 630490973580 632436933375 654740626410 673601467500 683031888045 699509216250 702707703750 727489584900 729734923125 758924320050 777232462500 780786337500 788113716975 807126018750 810816581250 819638265654 839411059500 842001834375 843249244500 851162814333 875681907750 909361981125 910709184060 945736460370 968551222500 972979897500 1010402201250 1049263824375 1050818289300 1054061555625 1091234377350 1122669112500 1134883752444 1138386480075 1165848693750 1171179506250 1210689028125 1212482641500 1216224871875 1229457398481 1259116589250 1264873866750 1309481252820 1313522861625 1366063776090 1399018432500 1405415407500 1418604690555 1459469846250 1515603301875 1517848640100 1576227433950 1614252037500 1621633162500 1636851566025 1639276531308 1684003668750 1702325628666 1748773040625 1751363815500 1756769259375 1818723962250 1891472920740 1897310800125 2020804402500 2049095664135 2098527648750 2108123111250 2182468754700 2189204769375 2276772960150 2331697387500 2342359012500 2364341150925 2421378056250 2432449743750 2458914796962 2518233178500 2526005503125 2529747733500 2627045723250 2728085943375 2732127552180 2837209381110 2918939692500 3031206603750 3147791473125 3152454867900 3162184666875 3273703132050 3368007337500 3404651257332 3415159440225 3497546081250 3513538518750 3637447924500 3648674615625 3688372195443 3794621600250 3940568584875 4098191328270 4197055297500 4216246222500 4255814071665 4378409538750 4546809905625 4553545920300 4728682301850 4842756112500 4864899487500 4917829593924 5052011006250 5246319121875 5254091446500 5270307778125 5456171886750 5674418762220 5691932400375 6062413207500 6147286992405 6295582946250 6324369333750 6547406264100 6567614308125 6830318880450 6995092162500 7027077037500 7093023452775 7297349231250 7376744390886 7578016509375 7589243200500 7881137169750 8184257830125 8196382656540 8511628143330 8756819077500 9093619811250 9457364603700 9486554000625 10104022012500 10245478320675 10492638243750 10540615556250 10912343773500 10946023846875 11065116586329 11383864800750 11821705754625 12294573984810 12591165892500 12648738667500 13135228616250 13640429716875 13660637760900 14186046905550 14594698462500 14753488781772 15156033018750 15738957365625 15762274339500 15810923334375 16368515660250 17023256286660 17075797201125 18187239622500 18441860977215 18973108001250 19702842924375 20490956641350 20985276487500 21081231112500 21279070358325 21892047693750 22130233172658 22734049528125 22767729601500 23643411509250 24589147969620 26270457232500 27280859433750 28372093811100 28459662001875 30312066037500 30736434962025 31477914731250 31621846668750 32737031320500 32838071540625 34151594402250 35465117263875 36883721954430 37946216002500 39405685848750 40921289150625 40981913282700 42558140716650 43784095387500 44260466345316 45468099056250 47286823018500 47432770003125 51227391603375 54561718867500 55325582931645 56919324003750 59108528773125 61472869924050 62955829462500 63243693337500 65676143081250 68202148584375 68303188804500 70930234527750 73767443908860 78811371697500 81842578301250 85116281433300 85378986005625 90936198112500 92209304886075 94865540006250 98514214621875 102454783206750 106395351791625 110651165863290 113838648007500 118217057546250 122945739848100 131352286162500 136404297168750 141860469055500 142298310009375 153682174810125 163685156602500 170757972011250 177325586319375 184418609772150 189731080012500 197028429243750 204606445753125 204909566413500 212790703583250 221302331726580 236434115092500 256136958016875 272808594337500 276627914658225 284596620018750 295542643865625 307364349620250 341515944022500 354651172638750 368837219544300 394056858487500 409212891506250 425581407166500 426894930028125 461046524430375 512273916033750 531976758958125 553255829316450 569193240037500 591085287731250 614728699240500 709302345277500 768410874050625 818425783012500 853789860056250 886627931596875 922093048860750 1024547832067500 1063953517916250 1106511658632900 1182170575462500 1280684790084375 1383139573291125 1536821748101250 1707579720112500 1773255863193750 1844186097721500 2127907035832500 2305232622151875 2561369580168750 2659883794790625 2766279146582250 3073643496202500 3546511726387500 3842054370253125 4610465244303750 5122739160337500 5319767589581250 5532558293164500 6915697866455625 7684108740506250 9220930488607500 10639535179162500 11526163110759375 13831395732911250 15368217481012500 23052326221518750 27662791465822500 34578489332278125 46104652443037500 69156978664556250 138313957329112500
- Sum of all divisors σ(n): 491630104238666526
- Sum of proper divisors (its aliquot sum) s(n): 353316146909554026
- 138313957329112500 is an abundant number, because the sum of its proper divisors (353316146909554026) is greater than itself. Its abundance is 215002189580441526
Bases of 138313957329112500
- Binary: 1111010110110001111001111101101100001010010001101101101002
- Hexadecimal: 0x1EB63CFB6148DB4
- Base-36: 11TW7ET57B90
Squares and roots of 138313957329112500
- 138313957329112500 squared (1383139573291125002) is 19130750792039553454640037656250000
- 138313957329112500 cubed (1383139573291125003) is 2646049848724043958869401155205162674392578125000000
-
The
square root of 138313957329112500 is 371905844.7095346471 -
The
cube root of 138313957329112500 is 517156.5176385051
Scales and comparisons
How big is 138313957329112500?- 138,313,957,329,112,500 seconds is equal to 4,397,956,009 years, 47 weeks, 11 hours, 15 minutes.
-
To count from 1 to 138,313,957,329,112,500 would take you about thirteen billion, one hundred ninety-three million, eight hundred sixty-eight thousand and twenty-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 138313957329112500 cubic inches would be around 43096.4 feet tall.
Recreational maths with 138313957329112500
- 138313957329112500 backwards is 005211923759313831
- The number of decimal digits it has is: 18
- The sum of 138313957329112500's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138313957329112500 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138313957329112500 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138313957329112500/
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The information we have on file for 138313957329112500 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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