138231004503762718516052100
138,231,004,503,762,718,516,052,100 is an even composite number composed of six prime numbers multiplied together.
138231004503762718516052100 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred fifteen divisors.
Prime factorization of 138231004503762718516052100:
22 × 34 × 52 × 1572 × 1732 × 48096612
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 157 × 157 × 173 × 173 × 4809661 × 4809661)See below for interesting mathematical facts about the number 138231004503762718516052100 from the Numbermatics database.
Names of 138231004503762718516052100
- Cardinal: 138231004503762718516052100 can be written as One hundred thirty-eight septillion, two hundred thirty-one sextillion, four quintillion, five hundred three quadrillion, seven hundred sixty-two trillion, seven hundred eighteen billion, five hundred sixteen million, fifty-two thousand, one hundred.
Scientific notation
- Scientific notation: 1.382310045037627185160521 × 1026
Factors of 138231004503762718516052100
Divisors of 138231004503762718516052100
- Number of divisors d(n): 1215
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 157 162 173 180 225 270 300 314 324 346 405 450 471 519 540 628 675 692 785 810 865 900 942 1038 1350 1413 1557 1570 1620 1730 1884 2025 2076 2355 2595 2700 2826 3114 3140 3460 3925 4050 4239 4325 4671 4710 5190 5652 6228 7065 7785 7850 8100 8478 8650 9342 9420 10380 11775 12717 12975 14013 14130 15570 15700 16956 17300 18684 21195 23355 23550 24649 25434 25950 27161 28026 28260 29929 31140 35325 38925 42390 46710 47100 49298 50868 51900 54322 56052 59858 63585 70065 70650 73947 77850 81483 84780 89787 93420 98596 105975 108644 116775 119716 123245 127170 135805 140130 141300 147894 149645 155700 162966 179574 211950 221841 233550 244449 246490 254340 269361 271610 280260 295788 299290 317925 325932 350325 359148 369735 407415 423900 443682 448935 467100 488898 492980 538722 543220 598580 616225 635850 665523 679025 700650 733347 739470 748225 808083 814830 887364 897870 977796 1077444 1109205 1222245 1232450 1271700 1331046 1346805 1358050 1401300 1466694 1478940 1496450 1616166 1629660 1795740 1848675 1996569 2037075 2200041 2218410 2244675 2424249 2444490 2464900 2662092 2693610 2716100 2933388 2992900 3232332 3327615 3666735 3697350 3993138 4040415 4074150 4264277 4400082 4436820 4489350 4698853 4809661 4848498 4888980 5387220 5546025 6111225 6655230 6734025 7333470 7394700 7986276 8080830 8148300 8528554 8800164 8978700 9397706 9619322 9696996 9982845 11000205 11092050 12121245 12222450 12792831 13310460 13468050 14096559 14428983 14666940 16161660 16638075 17057108 18333675 18795412 19238644 19965690 20202075 21321385 22000410 22184100 23494265 24048305 24242490 24444900 25585662 26936100 28193118 28857966 33276150 36667350 38378493 39931380 40404150 42289677 42642770 43286949 44000820 46988530 48096610 48484980 49914225 51171324 55001025 56386236 57715932 60606225 63964155 66552300 70482795 72144915 73334700 76756986 80808300 84579354 85285540 86573898 93977060 96193220 99828450 106606925 110002050 115135479 117471325 120241525 121212450 126869031 127928310 129860847 140965590 144289830 153513972 169158708 173147796 191892465 199656900 211448385 213213850 216434745 220004100 230270958 234942650 240483050 242424900 253738062 255856620 259721694 281931180 288579660 319820775 345406437 352413975 360724575 380607093 383784930 389582541 422896770 426427700 432869490 460541916 469885300 480966100 507476124 519443388 575677395 634345155 639641550 649304235 690812874 704827950 721449150 737719921 755116777 761214186 767569860 779165082 832071353 845793540 865738980 959462325 1057241925 1082173725 1151354790 1268690310 1279283100 1298608470 1381625748 1409655900 1442898300 1475439842 1510233554 1522428372 1558330164 1664142706 1727032185 1903035465 1918924650 1947912705 2114483850 2164347450 2213159763 2265350331 2302709580 2496214059 2537380620 2597216940 2878386975 2950879684 3020467108 3171725775 3246521175 3328285412 3454064370 3688599605 3775583885 3806070930 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110657988150 112329632655 113267516550 118553333989 119510627202 122328917874 124810702950 130635202421 132789585780 134795559186 135921019860 143948344069 149772843540 165986982225 169901274825 187216054425 199184378670 203881529790 221315976300 224659265310 226535033100 237106667978 239021254404 244657835748 249621405900 261270404842 269591118372 287896688138 298776568005 305822294685 331973964450 336988897965 339802549650 355660001967 374432108850 391905607263 398368757340 407763059580 431845032207 449318530620 474213335956 497960946675 509703824475 522540809684 561648163275 575793376276 592766669945 597553136010 611644589370 653176012105 663947928900 673977795930 679605099300 711320003934 719741720345 748864217700 783811214526 863690064414 995921893350 1019407648950 1066980005901 1123296326550 1175716821789 1185533339890 1195106272020 1223289178740 1295535096621 1306352024210 1347955591860 1422640007868 1439483440690 1493882840025 1529111473425 1567622429052 1684944489825 1727380128828 1778300009835 1959528036315 1991843786700 2038815297900 2133960011802 2159225161035 2246592653100 2351433643578 2371066679780 2591070193242 2612704048420 2878966881380 2963833349725 2987765680050 3058222946850 3200940017703 3265880060525 3369888979650 3527150465367 3556600019670 3598708601725 3886605289863 3919056072630 4267920023604 4318450322070 4702867287156 5182140386484 5334900029505 5878584108945 5927666699450 5975531360100 6116445893700 6401880035406 6477675483105 6531760121050 6739777959300 7054300930734 7113200039340 7197417203450 7773210579726 7838112145260 8636900644140 8891500049175 9602820053109 9797640181575 10581451396101 10669800059010 10796125805175 11659815869589 11757168217890 11855333398900 12803760070812 12955350966210 13063520242100 14108601861468 14394834406900 15546421159452 16004700088515 17635752326835 17783000098350 19205640106218 19433026449315 19595280363150 20509726780097 21162902792202 21339600118020 21592251610350 22599890018833 23132838934921 23319631739178 23514336435780 25910701932420 26674500147525 29392920544725 32009400177030 32388377415525 35271504653670 35566000196700 38411280212436 38866052898630 39190560726300 41019453560194 42325805584404 43184503220700 45199780037666 46265677869842 46639263478356 48014100265545 52907256980505 53349000295050 58299079347945 58785841089450 61529180340291 64018800354060 64776754831050 67799670056499 69398516804763 70543009307340 77732105797260 80023500442575 82038907120388 88178761634175 90399560075332 92531355739684 96028200531090 97165132246575 102548633900485 105814513961010 106698000590100 112999450094165 115664194674605 116598158695890 117571682178900 123058360680582 129553509662100 135599340112998 138797033609526 160047000885150 176357523268350 184587541020873 192056401062180 194330264493150 203399010169497 205097267800970 208195550414289 211629027922020 225998900188330 231328389349210 233196317391780 240070501327725 246116721361164 264536284902525 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8553020203603015935 9424665574670839215 9580093378983308700 9806010424513011900 10263624244323619122 10385141047248759135 10805349066501599100 11309598689605007058 11404026938137354580 12462169256698510962 12566220766227785620 13846854729665012180 14255033672671693225 14370140068474963050 14709015636769517850 15395436366485428683 15707775957784732025 16208023599752398650 16964398034407510587 17106040407206031870 17308568412081265225 18693253885047766443 18849331149341678430 20527248488647238244 20770282094497518270 22619197379210014116 24924338513397021924 25659060610809047805 28273996724012517645 28510067345343386450 28740280136949926100 29418031273539035700 30790872732970857366 31155423141746277405 31415551915569464050 32416047199504797300 33928796068815021174 34212080814412063740 34617136824162530450 37386507770095532886 37698662298683356860 41540564188995036540 42765101018015079675 46186309099456286049 47123327873354196075 50893194103222531761 51318121221618095610 51925705236243795675 56079761655143299329 56547993448025035290 57020134690686772900 61581745465941714732 62310846283492554810 62831103831138928100 67857592137630042348 69234273648325060900 74773015540191065772 76977181832427143415 84821990172037552935 85530202036030159350 92372618198912572098 93466269425238832215 94246655746708392150 98644833014888117117 101786388206445063522 102636242443236191220 103851410472487591350 108697809627870345613 112159523310286598658 113095986896050070580 124621692566985109620 128295303054045239025 141369983620062588225 153954363664854286830 155777115708731387025 169643980344075105870 171060404072060318700 184745236397825144196 186932538850477664430 188493311493416784300 197289666029776234234 203572776412890127044 207702820944975182700 217395619255740691226 224319046620573197316 230931545497281430245 254465970516112658805 256590606108090478050 280398808275716496645 282739967240125176450 295934499044664351351 307908727329708573660 311554231417462774050 326093428883611036839 339287960688150211740 373865077700955328860 384885909162135717075 394579332059552468468 424109950860187764675 434791238511481382452 461863090994562860490 467331347126194161075 493224165074440585585 508931941032225317610 513181212216180956100 543489048139351728065 560797616551432993290 565479934480250352900 591868998089328702702 623108462834925548100 652186857767222073678 769771818324271434150 848219901720375529350 887803497133993054053 923726181989125720980 934662694252388322150 978280286650833110517 986448330148881171170 1017863882064450635220 1086978096278703456130 1121595233102865986580 1154657727486407151225 1183737996178657405404 1272329852580563294025 1304373715534444147356 1401994041378582483225 1479672495223321756755 1539543636648542868300 1630467144418055184195 1696439803440751058700 1775606994267986108106 1869325388504776644300 1956560573301666221034 1972896660297762342340 2173956192557406912260 2309315454972814302450 2466120825372202927925 2544659705161126588050 2663410491401979162159 2717445240696758640325 2803988082757164966450 2934840859952499331551 2959344990446643513510 3260934288836110368390 3551213988535972216212 3913121146603332442068 4439017485669965270265 4618630909945628604900 4891401433254165552585 4932241650744405855850 5089319410322253176100 5326820982803958324318 5434890481393517280650 5607976165514329932900 5869681719904998663102 5918689980893287027020 6521868577672220736780 7398362476116608783775 7990231474205937486477 8152335722090275920975 8804522579857497994653 8878034971339930540530 9782802866508331105170 9864483301488811711700 10653641965607916648636 10869780962787034561300 11739363439809997326204 13317052457009895810795 14674204299762496657755 14796724952233217567550 15980462948411874972954 16304671444180551841950 17065556111575644261241 17609045159714995989306 17756069942679861081060 19565605733016662210340 22195087428349826351325 24457007166270827762925 26634104914019791621590 29348408599524993315510 29593449904466435135100 31960925896823749945908 32609342888361103683900 34131112223151288522482 35218090319429991978612 39951157371029687432385 44022612899287489973265 44390174856699652702650 48914014332541655525850 51196668334726932783723 53268209828039583243180 58696817199049986631020 66585262285049479053975 68262224446302577044964 73371021498812483288775 79902314742059374864770 85327780557878221306205 88045225798574979946530 88780349713399305405300 97828028665083311051700 102393336669453865567446 133170524570098958107950 146742042997624966577550 153590005004180798351169 159804629484118749729540 170655561115756442612410 176090451597149959893060 199755786855148437161925 204786673338907731134892 220113064496437449866325 255983341673634663918615 266341049140197916215900 293484085995249933155100 307180010008361596702338 341311122231512885224820 399511573710296874323850 426638902789391106531025 440226128992874899732650 460770015012542395053507 511966683347269327837230 614360020016723193404676 767950025020903991755845 799023147420593748647700 853277805578782213062050 880452257985749799465300 921540030025084790107014 1023933366694538655674460 1279916708368173319593075 1382310045037627185160521 1535900050041807983511690 1706555611157564426124100 1843080060050169580214028 2303850075062711975267535 2559833416736346639186150 2764620090075254370321042 3071800100083615967023380 3839750125104519958779225 4607700150125423950535070 5119666833472693278372300 5529240180150508740642084 6911550225188135925802605 7679500250209039917558450 9215400300250847901070140 11519250375313559876337675 13823100450376271851605210 15359000500418079835116900 23038500750627119752675350 27646200900752543703210420 34557751125940679629013025 46077001501254239505350700 69115502251881359258026050 138231004503762718516052100
- Sum of all divisors σ(n): 453584446128443431920130551
- Sum of proper divisors (its aliquot sum) s(n): 315353441624680713404078451
- 138231004503762718516052100 is an abundant number, because the sum of its proper divisors (315353441624680713404078451) is greater than itself. Its abundance is 177122437120917994888026351
Bases of 138231004503762718516052100
- Binary: 1110010010101111000110111000100111101101101100111111001010010100010110000000000100001002
- Hexadecimal: 0x72578DC4F6D9F94A2C0084
- Base-36: HD9QLBWPKRT4N9090
Squares and roots of 138231004503762718516052100
- 138231004503762718516052100 squared (1382310045037627185160521002) is 19107810606119268970263420365299941317525369914410000
- 138231004503762718516052100 cubed (1382310045037627185160521003) is 2641291853951517709334054899892541071231941634793171596464342913988100761000000
-
138231004503762718516052100 is a
perfect square number . Itssquare root is 11757168217890 -
The
cube root of 138231004503762718516052100 is 517053109.9655630659
Scales and comparisons
How big is 138231004503762718516052100?- 138,231,004,503,762,718,516,052,100 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,231,004,503,762,718,516,052,100 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 138231004503762718516052100 cubic inches would be around 43087759.2 feet tall.
Recreational maths with 138231004503762718516052100
- 138231004503762718516052100 backwards is 001250615817267305400132831
- 138231004503762718516052100 is a
Harshad number . - The number of decimal digits it has is: 27
- The sum of 138231004503762718516052100's digits is 81
- More coming soon!
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The information we have on file for 138231004503762718516052100 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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