142982940146196916800
142,982,940,146,196,916,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 142982940146196916800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1134 divisors.
142982940146196916800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 142982940146196916800:
26 × 32 × 52 × 732 × 2777 × 259032
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 73 × 73 × 2777 × 25903 × 25903)See below for interesting mathematical facts about the number 142982940146196916800 from the Numbermatics database.
Names of 142982940146196916800
- Cardinal: 142982940146196916800 can be written as One hundred forty-two quintillion, nine hundred eighty-two quadrillion, nine hundred forty trillion, one hundred forty-six billion, one hundred ninety-six million, nine hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.429829401461969168 × 1020
Factors of 142982940146196916800
Divisors of 142982940146196916800
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 73 75 80 90 96 100 120 144 146 150 160 180 192 200 219 225 240 288 292 300 320 360 365 400 438 450 480 576 584 600 657 720 730 800 876 900 960 1095 1168 1200 1314 1440 1460 1600 1752 1800 1825 2190 2336 2400 2628 2777 2880 2920 3285 3504 3600 3650 4380 4672 4800 5256 5329 5475 5554 5840 6570 7008 7200 7300 8331 8760 10512 10658 10950 11108 11680 13140 13885 14016 14400 14600 15987 16425 16662 17520 21024 21316 21900 22216 23360 24993 25903 26280 26645 27770 29200 31974 32850 33324 35040 41655 42048 42632 43800 44432 47961 49986 51806 52560 53290 55540 58400 63948 65700 66648 69425 70080 77709 79935 83310 85264 87600 88864 95922 99972 103612 105120 106580 111080 116800 124965 127896 129515 131400 133225 133296 138850 155418 159870 166620 170528 175200 177728 191844 199944 202721 207224 208275 210240 213160 222160 233127 239805 249930 255792 259030 262800 266450 266592 277700 310836 319740 333240 341056 350400 383688 388545 399675 399888 405442 414448 416550 426320 444320 466254 479610 499860 511584 518060 525600 532900 533184 555400 608163 621672 624825 639480 647575 666480 767376 777090 799350 799776 810884 828896 833100 852640 888640 932508 959220 999720 1013605 1023168 1036120 1051200 1065800 1110800 1165635 1199025 1216326 1243344 1249650 1278960 1295150 1332960 1534752 1554180 1598700 1599552 1621768 1657792 1666200 1705280 1824489 1865016 1890919 1918440 1942725 1999440 2027210 2072240 2131600 2221600 2331270 2398050 2432652 2486688 2499300 2557920 2590300 2665920 3040815 3069504 3108360 3197400 3243536 3332400 3648978 3730032 3781838 3836880 3885450 3998880 4054420 4144480 4263200 4443200 4662540 4796100 4865304 4973376 4998600 5068025 5115840 5180600 5672757 5828175 6081630 6216720 6394800 6487072 6664800 7297956 7460064 7563676 7673760 7770900 7997760 8108840 8288960 8526400 9122445 9325080 9454595 9592200 9730608 9997200 10136050 10361200 11345514 11656350 12163260 12433440 12789600 12974144 13329600 14595912 14798633 14920128 15127352 15204075 15347520 15541800 16217680 17018271 18244890 18650160 18909190 19184400 19461216 19994400 20272100 20722400 22691028 23312700 24326520 24866880 25579200 28363785 29191824 29597266 30254704 30408150 31083600 32435360 34036542 36489780 37300320 37818380 38368800 38922432 39988800 40544200 41444800 44395899 45382056 45612225 46625400 47272975 48653040 56727570 58383648 59194532 60509408 60816300 62167200 64870720 68073084 71932631 72979560 73993165 74600640 75636760 76737600 81088400 85091355 88791798 90764112 91224450 93250800 94545950 97306080 113455140 116767296 118389064 121018816 121632600 124334400 133187697 136146168 138037087 141818925 143865262 145959120 147986330 151273520 162176800 170182710 177583596 181528224 182448900 186501600 189091900 194612160 215797893 221979495 226910280 236778128 243265200 266375394 272292336 276074174 283637850 287730524 291918240 295972660 302547040 324353600 340365420 355167192 359663155 363056448 364897800 369965825 373003200 378183800 414111261 425456775 431595786 443958990 453820560 473556256 486530400 532750788 544584672 552148348 567275700 575461048 583836480 591945320 605094080 647393679 665938485 670965409 680730840 690185435 710334384 719326310 729795600 739931650 756367600 828222522 850913550 863191572 887917980 907641120 947112512 973060800 1065501576 1078989465 1089169344 1104296696 1109897475 1134551400 1150922096 1183890640 1242333783 1294787358 1331876970 1341930818 1361461680 1380370870 1420668768 1438652620 1459591200 1479863300 1512735200 1656445044 1701827100 1726383144 1775835960 1798315775 1815282240 2012896227 2070556305 2131003152 2157978930 2208593392 2219794950 2269102800 2301844192 2367781280 2484667566 2589574716 2663753940 2683861636 2722923360 2760741740 2841337536 2877305240 2919182400 2959726600 3025470400 3236968395 3312890088 3329692425 3354827045 3403654200 3450927175 3452766288 3551671920 3596631550 4025792454 4141112610 4262006304 4315957860 4417186784 4439589900 4538205600 4603688384 4735562560 4969335132 5179149432 5251082063 5327507880 5367723272 5394947325 5445846720 5521483480 5754610480 5919453200 6038688681 6211668915 6473936790 6625780176 6659384850 6709654090 6807308400 6901854350 6905532576 7103343840 7193263100 8051584908 8282225220 8524012608 8631915720 8834373568 8879179800 9076411200 9938670264 10064481135 10352781525 10358298864 10502164126 10655015760 10735446544 10789894650 11042966960 11509220960 11838906400 12077377362 12423337830 12947873580 13251560352 13318769700 13419308180 13614616800 13803708700 13811065152 14206687680 14386526200 15753246189 16103169816 16184841975 16564450440 16774135225 17263831440 17758359600 19877340528 20128962270 20705563050 20716597728 21004328252 21310031520 21470893088 21579789300 22085933920 23018441920 23677812800 24154754724 24846675660 25895747160 26255410315 26503120704 26637539400 26838616360 27229233600 27607417400 28773052400 30193443405 31058344575 31506492378 32206339632 32369683950 33128900880 33548270450 34527662880 35516719200 39754681056 40257924540 41411126100 41433195456 42008656504 42620063040 42941786176 43159578600 44171867840 47259738567 48309509448 48980474857 49693351320 50322405675 51791494320 52510820630 53275078800 53677232720 55214834800 57546104800 60386886810 62116689150 63012984756 64412679264 64739367900 66257801760 67096540900 69055325760 71033438400 78766230945 79509362112 80515849080 82822252200 84017313008 86319157200 94519477134 96619018896 97960949714 99386702640 100644811350 103582988640 105021641260 106550157600 107354465440 110429669600 115092209600 120773773620 124233378300 126025969512 128825358528 129478735800 131277051575 132515603520 134193081800 146941424571 150967217025 157532461890 161031698160 165644504400 168034626016 172638314400 189038954268 193238037792 195921899428 198773405280 201289622700 207165977280 210043282520 213100315200 214708930880 220859339200 236298692835 241547547240 244902374285 248466756600 252051939024 258957471600 262554103150 268386163600 293882849142 301934434050 315064923780 322063396320 331289008800 336069252032 345276628800 378077908536 383328990599 386476075584 391843798856 393831154725 397546810560 402579245400 420086565040 440824273713 472597385670 483095094480 489804748570 496933513200 504103878048 517914943200 525108206300 536772327200 587765698284 603868868100 630129847560 644126792640 662578017600 734707122855 756155817072 766657981198 783687597712 787662309450 805158490800 840173130080 881648547426 945194771340 966190188960 979609497140 993867026400 1008207756096 1035829886400 1050216412600 1073544654400 1149986971797 1175531396568 1181493464175 1207737736200 1224511871425 1260259695120 1469414245710 1512311634144 1533315962396 1567375195424 1575324618900 1610316981600 1680346260160 1763297094852 1863270940793 1890389542680 1916644952995 1932380377920 1959218994280 1987734052800 2100432825200 2204121368565 2299973943594 2351062793136 2362986928350 2415475472400 2449023742850 2520519390240 2938828491420 3024623268288 3066631924792 3134750390848 3150649237800 3220633963200 3449960915391 3526594189704 3575574664561 3673535614275 3726541881586 3780779085360 3833289905990 3918437988560 4200865650400 4408242737130 4599947887188 4702125586272 4725973856700 4830950944800 4898047485700 5041038780480 5589812822379 5749934858985 5877656982840 6133263849584 6301298475600 6899921830782 7053188379408 7151149329122 7347071228550 7453083763172 7561558170720 7666579811980 7836875977120 8401731300800 8816485474260 9199895774376 9316354703965 9404251172544 9451947713400 9583224764975 9661901889600 9796094971400 10726723993683 11020606842825 11179625644758 11499869717970 11755313965680 12266527699168 12602596951200 13799843661564 14106376758816 14302298658244 14694142457100 14906167526344 15123116341440 15333159623960 15673751954240 16769438467137 17249804576955 17632970948520 17877873322805 18399791548752 18632709407930 18903895426800 19166449529950 19592189942800 21453447987366 22041213685650 22359251289516 22999739435940 23510627931360 24533055398336 25205193902400 27599687323128 27949064111895 28212753517632 28604597316488 28749674294925 29388284914200 29812335052688 30666319247920 32180171981049 33538876934274 34499609153910 35265941897040 35755746645610 36799583097504 37265418815860 37807790853600 38332899059900 39184379885600 42906895974732 44082427371300 44718502579032 45999478871880 46581773519825 47021255862720 53633619968415 55199374646256 55898128223790 57209194632976 57499348589850 58776569828400 59624670105376 61332638495840 64360343962098 67077753868548 68999218307820 70531883794080 71511493291220 73599166195008 74530837631720 75615581707200 76665798119800 78368759771200 83847192335685 85813791949464 86249022884775 88164854742600 89389366614025 89437005158064 91998957743760 93163547039650 107267239936830 110398749292512 111796256447580 114418389265952 114998697179700 117553139656800 119249340210752 122665276991680 128720687924196 134155507737096 136018778677889 137998436615640 139745320559475 141063767588160 143022986582440 149061675263440 153331596239600 160900859905245 167694384671370 171627583898928 172498045769550 176329709485200 178778733228050 178874010316128 183997915487520 186327094079300 214534479873660 220797498585024 223592512895160 228836778531904 229997394359400 235106279313600 257441375848392 268168099842075 268311015474192 272037557355778 275996873231280 279490641118950 286045973164880 298123350526880 306663192479200 321801719810490 335388769342740 343255167797856 344996091539100 352659418970400 357557466456100 357748020632256 367995830975040 372654188158600 408056336033667 419235961678425 429068959747320 447185025790320 459994788718800 514882751696784 536336199684150 536622030948384 544075114711556 551993746462560 558981282237900 572091946329760 596246701053760 613326384958400 643603439620980 670777538685480 680093893389445 686510335595712 689992183078200 705318837940800 715114932912200 745308376317200 804504299526225 816112672067334 838471923356850 858137919494640 894370051580640 919989577437600 1029765503393568 1072672399368300 1073244061896768 1088150229423112 1103987492925120 1117962564475800 1144183892659520 1224169008101001 1287206879241960 1341555077370960 1360187786778890 1379984366156400 1430229865824400 1490616752634400 1609008599052450 1632225344134668 1676943846713700 1716275838989280 1788740103161280 1839979154875200 2040281680168335 2059531006787136 2145344798736600 2176300458846224 2235925128951600 2448338016202002 2574413758483920 2683110154741920 2720375573557780 2759968732312800 2860459731648800 2981233505268800 3218017198104900 3264450688269336 3353887693427400 3400469466947225 3432551677978560 4080563360336670 4290689597473200 4352600917692448 4471850257903200 4896676032404004 5148827516967840 5366220309483840 5440751147115560 5519937464625600 5720919463297600 6120845040505005 6436034396209800 6528901376538672 6707775386854800 6800938933894450 8161126720673340 8581379194946400 8705201835384896 8943700515806400 9793352064808008 9929370843485897 10201408400841675 10297655033935680 10881502294231120 12241690081010010 12872068792419600 13057802753077344 13415550773709600 13601877867788900 16322253441346680 17162758389892800 19586704129616016 19858741686971794 20402816801683350 21763004588462240 24483380162020020 25744137584839200 26115605506154688 26831101547419200 27203755735577800 29788112530457691 30604225202525025 32644506882693360 39173408259232032 39717483373943588 40805633603366700 43526009176924480 48966760324040040 49646854217429485 51488275169678400 54407511471155600 59576225060915382 61208450405050050 65289013765386720 78346816518464064 79434966747887176 81611267206733400 89364337591373073 97933520648080080 99293708434858970 108815022942311200 119152450121830764 122416900810100100 130578027530773440 148940562652288455 158869933495774352 163222534413466800 178728675182746146 195867041296160160 198587416869717940 217630045884622400 238304900243661528 244833801620200200 248234271087147425 297881125304576910 317739866991548704 326445068826933600 357457350365492292 391734082592320320 397174833739435880 446821687956865365 476609800487323056 489667603240400400 496468542174294850 595762250609153820 635479733983097408 652890137653867200 714914700730984584 744702813261442275 794349667478871760 893643375913730730 953219600974646112 979335206480800800 992937084348589700 1191524501218307640 1429829401461969168 1489405626522884550 1588699334957743520 1787286751827461460 1906439201949292224 1958670412961601600 1985874168697179400 2234108439784326825 2383049002436615280 2859658802923938336 2978811253045769100 3177398669915487040 3574573503654922920 3971748337394358800 4468216879568653650 4766098004873230560 5719317605847876672 5957622506091538200 7149147007309845840 7943496674788717600 8936433759137307300 9532196009746461120 11915245012183076400 14298294014619691680 15886993349577435200 17872867518274614600 23830490024366152800 28596588029239383360 35745735036549229200 47660980048732305600 71491470073098458400 142982940146196916800
- Sum of all divisors σ(n): 515457512548723485702
- Sum of proper divisors (its aliquot sum) s(n): 372474572402526568902
- 142982940146196916800 is an abundant number, because the sum of its proper divisors (372474572402526568902) is greater than itself. Its abundance is 229491632256329652102
Bases of 142982940146196916800
- Binary: 11111000000010010010111001010000001110000110000000110101010010000002
- Hexadecimal: 0x7C0497281C301AA40
- Base-36: U6BFA5D1F7RK0
Squares and roots of 142982940146196916800
- 142982940146196916800 squared (1429829401461969168002) is 20444121172850929987372322481826122240000
- 142982940146196916800 cubed (1429829401461969168003) is 2923160553999341633485063373246092007172888705187909632000000
-
The
square root of 142982940146196916800 is 11957547413.5040299575 -
The
cube root of 142982940146196916800 is 5229113.5713627689
Scales and comparisons
How big is 142982940146196916800?- 142,982,940,146,196,916,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 142,982,940,146,196,916,800 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 142982940146196916800 cubic inches would be around 435759.5 feet tall.
Recreational maths with 142982940146196916800
- 142982940146196916800 backwards is 008619691641049289241
- 142982940146196916800 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 142982940146196916800's digits is 90
- More coming soon!
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"Number 142982940146196916800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 142982940146196916800 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/142982940146196916800/
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Numbermatics. 2024. "Number 142982940146196916800 - Facts about the integer". https://numbermatics.com/n/142982940146196916800/
The information we have on file for 142982940146196916800 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!
Keywords: Divisors of 142982940146196916800, math, Factors of 142982940146196916800, curriculum, school, college, exams, university, Prime factorization of 142982940146196916800, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-two quintillion, nine hundred eighty-two quadrillion, nine hundred forty trillion, one hundred forty-six billion, one hundred ninety-six million, nine hundred sixteen thousand, eight hundred.