480448340683653120
480,448,340,683,653,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 480448340683653120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1584 divisors.
480448340683653120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 480448340683653120:
221 × 3 × 5 × 29 × 532 × 4332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 29 × 53 × 53 × 433 × 433)See below for interesting mathematical facts about the number 480448340683653120 from the Numbermatics database.
Names of 480448340683653120
- Cardinal: 480448340683653120 can be written as Four hundred eighty quadrillion, four hundred forty-eight trillion, three hundred forty billion, six hundred eighty-three million, six hundred fifty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.8044834068365312 × 1017
Factors of 480448340683653120
Divisors of 480448340683653120
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 53 58 60 64 80 87 96 106 116 120 128 145 159 160 174 192 212 232 240 256 265 290 318 320 348 384 424 433 435 464 480 512 530 580 636 640 696 768 795 848 866 870 928 960 1024 1060 1160 1272 1280 1299 1392 1536 1537 1590 1696 1732 1740 1856 1920 2048 2120 2165 2320 2544 2560 2598 2784 2809 3072 3074 3180 3392 3464 3480 3712 3840 4096 4240 4330 4611 4640 5088 5120 5196 5568 5618 6144 6148 6360 6495 6784 6928 6960 7424 7680 7685 8192 8427 8480 8660 9222 9280 10176 10240 10392 11136 11236 12288 12296 12557 12720 12990 13568 13856 13920 14045 14848 15360 15370 16384 16854 16960 17320 18444 18560 20352 20480 20784 22272 22472 22949 23055 24576 24592 25114 25440 25980 27136 27712 27840 28090 29696 30720 30740 32768 33708 33920 34640 36888 37120 37671 40704 40960 41568 42135 44544 44944 45898 46110 49152 49184 50228 50880 51960 54272 55424 55680 56180 59392 61440 61480 62785 65536 67416 67840 68847 69280 73776 74240 75342 81408 81461 81920 83136 84270 89088 89888 91796 92220 98304 98368 100456 101760 103920 108544 110848 111360 112360 114745 118784 122880 122960 125570 131072 134832 135680 137694 138560 147552 148480 150684 162816 162922 163840 166272 168540 178176 179776 183592 184440 187489 188355 196608 196736 200912 203520 207840 217088 221696 222720 224720 229490 237568 244383 245760 245920 251140 262144 269664 271360 275388 277120 295104 296960 301368 325632 325844 327680 332544 337080 344235 356352 359552 367184 368880 374978 376710 393216 393472 401824 407040 407305 415680 434176 443392 445440 449440 458980 475136 488766 491520 491840 502280 524288 539328 542720 550776 554240 562467 590208 593920 602736 651264 651688 655360 665088 665521 674160 688470 712704 719104 734368 737760 749956 753420 786432 786944 803648 814080 814610 831360 868352 886784 890880 898880 917960 937445 950272 977532 983040 983680 1004560 1048576 1078656 1085440 1101552 1108480 1124934 1180416 1187840 1205472 1216297 1221915 1302528 1303376 1310720 1330176 1331042 1348320 1376940 1425408 1438208 1468736 1475520 1499912 1506840 1572864 1573888 1607296 1628160 1629220 1662720 1736704 1773568 1781760 1797760 1835920 1874890 1900544 1955064 1966080 1967360 1996563 2009120 2097152 2157312 2170880 2203104 2216960 2249868 2360832 2375680 2410944 2432594 2443830 2605056 2606752 2621440 2660352 2662084 2696640 2753880 2812335 2850816 2876416 2937472 2951040 2999824 3013680 3145728 3147776 3214592 3256320 3258440 3325440 3327605 3473408 3547136 3563520 3595520 3648891 3671840 3749780 3801088 3910128 3932160 3934720 3993126 4018240 4314624 4341760 4406208 4433920 4499736 4721664 4751360 4821888 4865188 4887660 5210112 5213504 5242880 5320704 5324168 5393280 5437181 5507760 5624670 5701632 5752832 5874944 5902080 5999648 6027360 6081485 6291456 6295552 6429184 6512640 6516880 6650880 6655210 6946816 7094272 7127040 7191040 7297782 7343680 7499560 7602176 7820256 7864320 7869440 7986252 8036480 8629248 8683520 8812416 8867840 8999472 9443328 9502720 9643776 9730376 9775320 9936917 9982815 10420224 10427008 10485760 10641408 10648336 10786560 10874362 11015520 11249340 11403264 11505664 11749888 11804160 11999296 12054720 12162970 12591104 12858368 13025280 13033760 13301760 13310420 13893632 14188544 14254080 14382080 14595564 14687360 14999120 15204352 15640512 15728640 15738880 15972504 16072960 16311543 17258496 17367040 17624832 17735680 17998944 18244455 18886656 19005440 19287552 19460752 19550640 19873834 19965630 20840448 20854016 21282816 21296672 21573120 21748724 22031040 22498680 22806528 23011328 23499776 23608320 23998592 24109440 24325940 25182208 25716736 26050560 26067520 26603520 26620840 27185905 27787264 28377088 28508160 28764160 29191128 29374720 29810751 29998240 30408704 31281024 31457280 31477760 31945008 32145920 32623086 34516992 34734080 35249664 35272613 35471360 35997888 36488910 37773312 38010880 38575104 38921504 39101280 39747668 39931260 41680896 41708032 42565632 42593344 43146240 43497448 44062080 44997360 45613056 46022656 46999552 47216640 47997184 48218880 48651880 49684585 50364416 51433472 52101120 52135040 53207040 53241680 54371810 55574528 56754176 57016320 57528320 58382256 58749440 59621502 59996480 60817408 62562048 62955520 63890016 64291840 65246172 69033984 69468160 70499328 70545226 70942720 71995776 72977820 75546624 76021760 77150208 77843008 78202560 79495336 79862520 81557715 83361792 83416064 85131264 85186688 86292480 86994896 88124160 89994720 91226112 92045312 93999104 94433280 95994368 96437760 97303760 99369170 100728832 102866944 104202240 104270080 105817839 106414080 106483360 108743620 111149056 113508352 114032640 115056640 116764512 117498880 119243004 119992960 125124096 125911040 127780032 128583680 130492344 138067968 138936320 140998656 141090452 141885440 143991552 145955640 149053755 151093248 152043520 154300416 155686016 156405120 158990672 159725040 163115430 166723584 166832128 170262528 170373376 172584960 173989792 176248320 176363065 179989440 182452224 184090624 187998208 188866560 191988736 192875520 194607520 198738340 201457664 205733888 208404480 208540160 211635678 212828160 212966720 217487240 227016704 228065280 230113280 233529024 234997760 238486008 239985920 250248192 251822080 255560064 257167360 260984688 276135936 277872640 281997312 282180904 283770880 287983104 288170593 291911280 298107510 302186496 304087040 308600832 311372032 312810240 317981344 319450080 326230860 333447168 333664256 340525056 340746752 345169920 347979584 352496640 352726130 359978880 368181248 375996416 377733120 383977472 385751040 389215040 397476680 402915328 411467776 416808960 417080320 423271356 425656320 425933440 434974480 454033408 456130560 460226560 467058048 469995520 476972016 479971840 500496384 503644160 511120128 514334720 521969376 526656601 529089195 552271872 555745280 563994624 564361808 567541760 575966208 576341186 583822560 596215020 604372992 617201664 622744064 625620480 635962688 638900160 652461720 667328512 681050112 681493504 690339840 695959168 704993280 705452260 719957760 736362496 751992832 755466240 767954944 771502080 778430080 794953360 805830656 822935552 833617920 834160640 846542712 851312640 851866880 864511779 869948960 908066816 912261120 920453120 934116096 939991040 953944032 959943680 1000992768 1007288320 1022240256 1028669440 1043938752 1053313202 1058178390 1104543744 1127989248 1128723616 1135083520 1151932416 1152682372 1167645120 1192430040 1208745984 1234403328 1245488128 1251240960 1271925376 1277800320 1304923440 1334657024 1362100224 1362987008 1380679680 1391918336 1409986560 1410904520 1439915520 1440852965 1472724992 1503985664 1510932480 1535909888 1543004160 1556860160 1579969803 1589906720 1611661312 1645871104 1667235840 1668321280 1693085424 1702625280 1703733760 1729023558 1739897920 1840906240 1868232192 1879982080 1907888064 1919887360 2001985536 2014576640 2044480512 2057338880 2087877504 2106626404 2116356780 2209087488 2255978496 2257447232 2270167040 2303864832 2305364744 2335290240 2384860080 2417491968 2468806656 2490976256 2502481920 2543850752 2555600640 2609846880 2633283005 2669314048 2724200448 2725974016 2761359360 2783836672 2819973120 2821809040 2879831040 2881705930 2945449984 3007971328 3021864960 3071819776 3086008320 3113720320 3159939606 3179813440 3223322624 3291742208 3336642560 3386170848 3405250560 3407467520 3458047116 3479795840 3681812480 3736464384 3759964160 3815776128 3839774720 4003971072 4029153280 4088961024 4114677760 4175755008 4213252808 4232713560 4322558895 4418174976 4511956992 4514894464 4540334080 4607729664 4610729488 4670580480 4769720160 4834983936 4937613312 4981952512 5004963840 5087701504 5111201280 5219693760 5266566010 5338628096 5451948032 5522718720 5567673344 5639946240 5643618080 5759662080 5763411860 5890899968 6015942656 6043729920 6143639552 6172016640 6227440640 6319879212 6359626880 6583484416 6673285120 6772341696 6810501120 6814935040 6916094232 6959591680 7363624960 7472928768 7519928320 7631552256 7679549440 7899849015 8007942144 8058306560 8177922048 8229355520 8351510016 8426505616 8465427120 8645117790 8836349952 9023913984 9029788928 9215459328 9221458976 9341160960 9539440320 9669967872 9875226624 9963905024 10009927680 10175403008 10222402560 10439387520 10533132020 10677256192 10903896064 11045437440 11135346688 11279892480 11287236160 11519324160 11526823720 12031885312 12087459840 12287279104 12344033280 12454881280 12639758424 12719253760 13166968832 13346570240 13544683392 13621002240 13629870080 13832188464 13919183360 14727249920 14945857536 15039856640 15263104512 15273041429 15359098880 15799698030 16015884288 16116613120 16355844096 16458711040 16703020032 16853011232 16930854240 17290235580 17672699904 18047827968 18059577856 18430918656 18442917952 18682321920 19078880640 19750453248 19927810048 20019855360 20350806016 20444805120 20878775040 21066264040 21354512384 21807792128 22090874880 22270693376 22559784960 22574472320 23038648320 23053647440 24063770624 24174919680 24574558208 24688066560 24909762560 25279516848 25438507520 26333937664 26693140480 27089366784 27259740160 27664376928 27838366720 29454499840 29891715072 30079713280 30526209024 30546082858 30718197760 31599396060 32031768576 32711688192 32917422080 33406040064 33706022464 33861708480 34580471160 36095655936 36119155712 36861837312 36885835904 37364643840 38157761280 39500906496 39855620096 40039710720 40701612032 40889610240 41757550080 42132528080 42709024768 43615584256 44181749760 44541386752 45119569920 45148944640 45819124287 46077296640 46107294880 48127541248 48349839360 49149116416 49376133120 49819525120 50559033696 50877015040 53386280960 54178733568 54519480320 55328753856 55676733440 59783430144 60159426560 61052418048 61092165716 61436395520 63198792120 64063537152 65423376384 65834844160 66812080128 67412044928 67723416960 69160942320 72191311872 72238311424 73723674624 73771671808 74729287680 76315522560 76365207145 79001812992 79711240192 80079421440 81403224064 81779220480 83515100160 84265056160 85418049536 87231168512 88363499520 89082773504 90239139840 90297889280 91638248574 92154593280 92214589760 98298232832 98752266240 99639050240 101118067392 101754030080 106772561920 108357467136 109038960640 110657507712 111353466880 119566860288 120318853120 122104836096 122184331432 122872791040 126397584240 128127074304 130846752768 131669688320 133624160256 134824089856 135446833920 138321884640 144382623744 144476622848 147447349248 147543343616 149458575360 152631045120 152730414290 159422480384 160158842880 162806448128 163558440960 167030200320 168530112320 170836099072 174462337024 178165547008 180478279680 180595778560 183276497148 184309186560 184429179520 196596465664 197504532480 199278100480 202236134784 203508060160 213545123840 216714934272 218077921280 221315015424 222706933760 229095621435 239133720576 240637706240 244209672192 244368662864 245745582080 252795168480 256254148608 261693505536 267248320512 269648179712 270893667840 276643769280 288953245696 294894698496 295086687232 298917150720 305262090240 305460828580 318844960768 320317685760 325612896256 327116881920 334060400640 337060224640 348924674048 356331094016 360956559360 361191557120 366552994296 368618373120 368858359040 393192931328 395009064960 398556200960 404472269568 407016120320 427090247680 433429868544 436155842560 442630030848 445413867520 458191242870 478267441152 488419344384 488737325728 491491164160 505590336960 512508297216 523387011072 534496641024 539296359424 541787335680 553287538560 577906491392 589789396992 590173374464 597834301440 610524180480 610921657160 637689921536 640635371520 651225792512 654233763840 668120801280 674120449280 697849348096 712662188032 721913118720 722383114240 733105988592 737236746240 737716718080 797112401920 808944539136 814032240640 854180495360 866859737088 872311685120 885260061696 890827735040 916382485740 956534882304 976838688768 977474651456 982982328320 1011180673920 1046774022144 1068993282048 1078592718848 1083574671360 1106575077120 1155812982784 1179578793984 1180346748928 1195668602880 1221048360960 1221843314320 1275379843072 1281270743040 1302451585024 1308467527680 1336241602560 1348240898560 1395698696192 1425324376064 1444766228480 1466211977184 1474473492480 1475433436160 1594224803840 1617889078272 1628064481280 1733719474176 1744623370240 1770520123392 1781655470080 1832764971480 1913069764608 1953677377536 1954949302912 1965964656640 2022361347840 2093548044288 2137986564096 2157185437696 2167149342720 2213150154240 2311625965568 2360693497856 2391337205760 2442096721920 2443686628640 2550759686144 2562541486080 2604903170048 2616935055360 2672483205120 2696481797120 2850648752128 2889532456960 2932423954368 2948946984960 2950866872320 3188449607680 3235778156544 3256128962560 3467438948352 3489246740480 3541040246784 3563310940160 3665529942960 3826139529216 3907354755072 3909898605824 4044722695680 4187096088576 4275973128192 4314370875392 4334298685440 4426300308480 4623251931136 4721386995712 4782674411520 4884193443840 4887373257280 5209806340096 5233870110720 5344966410240 5392963594240 5701297504256 5779064913920 5864847908736 5897893969920 5901733744640 6376899215360 6471556313088 6512257925120 6934877896704 6978493480960 7082080493568 7126621880320 7331059885920 7652279058432 7814709510144 7819797211648 8089445391360 8551946256384 8628741750784 8668597370880 8852600616960 9246503862272 9442773991424 9565348823040 9768386887680 9774746514560 10419612680192 10467740221440 10689932820480 10785927188480 11402595008512 11558129827840 11729695817472 11803467489280 12753798430720 12943112626176 13024515850240 13869755793408 14164160987136 14253243760640 14662119771840 15629419020288 15639594423296 16178890782720 17103892512768 17257483501568 17337194741760 17705201233920 18493007724544 18885547982848 19130697646080 19536773775360 19549493029120 20839225360384 20935480442880 21379865640960 21571854376960 23116259655680 23459391634944 23606934978560 25886225252352 26049031700480 27739511586816 28328321974272 28506487521280 29324239543680 31258838040576 31279188846592 32357781565440 34207785025536 34514967003136 34674389483520 35410402467840 36986015449088 37771095965696 38261395292160 39073547550720 39098986058240 42759731281920 43143708753920 46232519311360 46918783269888 47213869957120 51772450504704 52098063400960 55479023173632 56656643948544 57012975042560 58648479087360 62517676081152 62558377693184 64715563130880 69029934006272 69348778967040 70820804935680 73972030898176 75542191931392 78147095101440 78197972116480 85519462563840 86287417507840 92465038622720 93837566539776 94427739914240 103544901009408 104196126801920 110958046347264 113313287897088 117296958174720 125116755386368 129431126261760 138059868012544 138697557934080 141641609871360 151084383862784 156294190202880 156395944232960 171038925127680 172574835015680 184930077245440 187675133079552 188855479828480 207089802018816 221916092694528 226626575794176 234593916349440 250233510772736 258862252523520 276119736025088 277395115868160 283283219742720 302168767725568 312588380405760 312791888465920 345149670031360 369860154490880 375350266159104 377710959656960 414179604037632 453253151588352 469187832698880 500467021545472 517724505047040 552239472050176 554790231736320 566566439485440 604337535451136 625583776931840 690299340062720 750700532318208 755421919313920 828359208075264 906506303176704 938375665397760 1000934043090944 1035449010094080 1104478944100352 1109580463472640 1133132878970880 1251167553863680 1380598680125440 1501401064636416 1510843838627840 1656718416150528 1813012606353408 1876751330795520 2001868086181888 2070898020188160 2266265757941760 2502335107727360 2761197360250880 3002802129272832 3021687677255680 3313436832301056 3753502661591040 4003736172363776 4141796040376320 4532531515883520 5004670215454720 5522394720501760 6005604258545664 7507005323182080 8007472344727552 8283592080752640 9065063031767040 10009340430909440 12011208517091328 15014010646364160 16014944689455104 16567184161505280 20018680861818880 24022417034182656 30028021292728320 32029889378910208 40037361723637760 48044834068365312 60056042585456640 80074723447275520 96089668136730624 120112085170913280 160149446894551040 240224170341826560 480448340683653120
- Sum of all divisors σ(n): 1624776325661769840
- Sum of proper divisors (its aliquot sum) s(n): 1144327984978116720
- 480448340683653120 is an abundant number, because the sum of its proper divisors (1144327984978116720) is greater than itself. Its abundance is 663879644294463600
Bases of 480448340683653120
- Binary: 110101010101110010100111000011001110110000000000000000000002
- Hexadecimal: 0x6AAE53867600000
- Base-36: 3NEOQ0PEHT6O
Squares and roots of 480448340683653120
- 480448340683653120 squared (4804483406836531202) is 230830608065675613747023188485734400
- 480448340683653120 cubed (4804483406836531203) is 110902182624152524998834769095545499681516398051328000
-
The
square root of 480448340683653120 is 693143809.5255941331 -
The
cube root of 480448340683653120 is 783217.2293785373
Scales and comparisons
How big is 480448340683653120?- 480,448,340,683,653,120 seconds is equal to 15,276,771,109 years, 23 weeks, 1 day, 13 hours, 52 minutes.
-
To count from 1 to 480,448,340,683,653,120 would take you about forty-five billion, eight hundred thirty million, three hundred thirteen thousand, three hundred twenty-eight 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 480448340683653120 cubic inches would be around 65268.1 feet tall.
Recreational maths with 480448340683653120
- 480448340683653120 backwards is 021356386043844084
- The number of decimal digits it has is: 18
- The sum of 480448340683653120's digits is 69
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 480448340683653120 - Facts about the integer". Numbermatics.com. 2024. Web. 20 May 2024.
APA style:
Numbermatics. (2024). Number 480448340683653120 - Facts about the integer. Retrieved 20 May 2024, from https://numbermatics.com/n/480448340683653120/
Chicago style:
Numbermatics. 2024. "Number 480448340683653120 - Facts about the integer". https://numbermatics.com/n/480448340683653120/
The information we have on file for 480448340683653120 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 480448340683653120, math, Factors of 480448340683653120, curriculum, school, college, exams, university, Prime factorization of 480448340683653120, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty quadrillion, four hundred forty-eight trillion, three hundred forty billion, six hundred eighty-three million, six hundred fifty-three thousand, one hundred twenty.