20948144139141120
20,948,144,139,141,120 is an even composite number composed of six prime numbers multiplied together.
20948144139141120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 20948144139141120:
217 × 33 × 5 × 112 × 2521 × 3881
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 2521 × 3881)See below for interesting mathematical facts about the number 20948144139141120 from the Numbermatics database.
Names of 20948144139141120
- Cardinal: 20948144139141120 can be written as Twenty quadrillion, nine hundred forty-eight trillion, one hundred forty-four billion, one hundred thirty-nine million, one hundred forty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.094814413914112 × 1016
Factors of 20948144139141120
Divisors of 20948144139141120
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 121 128 132 135 144 160 165 176 180 192 198 216 220 240 242 256 264 270 288 297 320 330 352 360 363 384 396 432 440 480 484 495 512 528 540 576 594 605 640 660 704 720 726 768 792 864 880 960 968 990 1024 1056 1080 1089 1152 1188 1210 1280 1320 1408 1440 1452 1485 1536 1584 1728 1760 1815 1920 1936 1980 2048 2112 2160 2178 2304 2376 2420 2521 2560 2640 2816 2880 2904 2970 3072 3168 3267 3456 3520 3630 3840 3872 3881 3960 4096 4224 4320 4356 4608 4752 4840 5042 5120 5280 5445 5632 5760 5808 5940 6144 6336 6534 6912 7040 7260 7563 7680 7744 7762 7920 8192 8448 8640 8712 9216 9504 9680 10084 10240 10560 10890 11264 11520 11616 11643 11880 12288 12605 12672 13068 13824 14080 14520 15126 15360 15488 15524 15840 16335 16384 16896 17280 17424 18432 19008 19360 19405 20168 20480 21120 21780 22528 22689 23040 23232 23286 23760 24576 25210 25344 26136 27648 27731 28160 29040 30252 30720 30976 31048 31680 32670 32768 33792 34560 34848 34929 36864 37815 38016 38720 38810 40336 40960 42240 42691 43560 45056 45378 46080 46464 46572 47520 49152 50420 50688 52272 55296 55462 56320 58080 58215 60504 61440 61952 62096 63360 65340 65536 67584 68067 69120 69696 69858 73728 75630 76032 77440 77620 80672 81920 83193 84480 85382 87120 90112 90756 92160 92928 93144 95040 98304 100840 101376 104544 104787 110592 110924 112640 113445 116160 116430 121008 122880 123904 124192 126720 128073 130680 131072 135168 136134 138240 138655 139392 139716 147456 151260 152064 154880 155240 161344 163840 166386 168960 170764 174240 174645 180224 181512 184320 185856 186288 190080 196608 201680 202752 209088 209574 213455 221184 221848 225280 226890 232320 232860 242016 245760 247808 248384 249579 253440 256146 261360 270336 272268 276480 277310 278784 279432 294912 302520 304128 305041 309760 310480 322688 327680 332772 337920 340335 341528 348480 349290 360448 363024 368640 371712 372576 380160 384219 393216 403360 405504 415965 418176 419148 426910 442368 443696 450560 453780 464640 465720 469601 484032 491520 495616 496768 499158 506880 512292 522720 523935 540672 544536 552960 554620 557568 558864 589824 605040 608256 610082 619520 620960 640365 645376 655360 665544 675840 680670 683056 696960 698580 720896 726048 737280 743424 745152 748737 760320 768438 806720 811008 831930 836352 838296 853820 884736 887392 901120 907560 915123 929280 931440 939202 968064 983040 991232 993536 998316 1013760 1024584 1045440 1047870 1081344 1089072 1105920 1109240 1115136 1117728 1152657 1179648 1210080 1216512 1220164 1239040 1241920 1247895 1280730 1290752 1331088 1351680 1361340 1366112 1393920 1397160 1408803 1441792 1452096 1474560 1486848 1490304 1497474 1520640 1525205 1536876 1613440 1622016 1663860 1672704 1676592 1707640 1769472 1774784 1802240 1815120 1830246 1858560 1862880 1878404 1921095 1936128 1966080 1982464 1987072 1996632 2027520 2049168 2090880 2095740 2162688 2178144 2211840 2218480 2230272 2235456 2305314 2348005 2420160 2433024 2440328 2478080 2483840 2495790 2561460 2581504 2662176 2703360 2722680 2732224 2745369 2787840 2794320 2817606 2904192 2949120 2973696 2980608 2994948 3041280 3050410 3073752 3226880 3244032 3327720 3345408 3353184 3415280 3538944 3549568 3604480 3630240 3660492 3717120 3725760 3743685 3756808 3842190 3872256 3964928 3974144 3993264 4055040 4098336 4181760 4191480 4226409 4325376 4356288 4423680 4436960 4460544 4470912 4575615 4610628 4696010 4840320 4866048 4880656 4956160 4967680 4991580 5122920 5163008 5324352 5406720 5445360 5464448 5490738 5575680 5588640 5635212 5763285 5808384 5898240 5947392 5961216 5989896 6082560 6100820 6147504 6453760 6488064 6655440 6690816 6706368 6830560 7044015 7099136 7208960 7260480 7320984 7434240 7451520 7487370 7513616 7684380 7744512 7929856 7948288 7986528 8110080 8196672 8236107 8363520 8382960 8452818 8712576 8847360 8873920 8921088 8941824 9151230 9221256 9392020 9680640 9732096 9761312 9784001 9912320 9935360 9983160 10245840 10326016 10648704 10813440 10890720 10928896 10981476 11151360 11177280 11270424 11526570 11616768 11894784 11922432 11979792 12165120 12201640 12295008 12679227 12907520 12976128 13310880 13381632 13412736 13661120 13726845 14088030 14198272 14520960 14641968 14868480 14903040 14974740 15027232 15368760 15489024 15859712 15896576 15973056 16220160 16393344 16472214 16727040 16765920 16905636 17425152 17694720 17747840 17842176 17883648 18302460 18442512 18784040 19361280 19464192 19522624 19568002 19824640 19870720 19966320 20491680 20652032 21132045 21297408 21626880 21781440 21857792 21962952 22302720 22354560 22540848 23053140 23233536 23789568 23844864 23959584 24330240 24403280 24590016 25358454 25815040 26621760 26763264 26825472 27322240 27453690 28176060 28396544 29041920 29283936 29352003 29736960 29806080 29949480 30054464 30737520 30978048 31793152 31946112 32440320 32786688 32944428 33454080 33531840 33811272 34850304 35495680 35684352 35767296 36604920 36885024 37568080 38722560 38928384 39045248 39136004 39649280 39741440 39932640 40983360 41180535 41304064 42264090 42594816 43562880 43715584 43925904 44605440 44709120 45081696 46106280 46467072 47579136 47689728 47919168 48660480 48806560 48920005 49180032 50716908 51630080 53243520 53526528 53650944 54644480 54907380 56352120 56793088 58083840 58567872 58704006 59473920 59612160 59898960 60108928 61475040 61956096 63396135 63586304 63892224 64880640 65573376 65888856 66908160 67063680 67622544 69700608 70991360 71368704 71534592 73209840 73770048 75136160 77445120 78090496 78272008 79298560 79482880 79865280 81966720 82361070 82608128 84528180 85189632 87125760 87431168 87851808 88056009 89210880 89418240 90163392 92212560 92934144 95379456 95838336 97320960 97613120 97840010 98360064 101433816 103260160 106487040 107053056 107301888 107624011 109288960 109814760 112704240 113586176 116167680 117135744 117408012 118947840 119224320 119797920 120217856 122950080 123912192 126792270 127172608 127784448 131146752 131777712 133816320 134127360 135245088 139401216 141982720 142737408 143069184 146419680 146760015 147540096 150272320 154890240 156180992 156544016 158965760 159730560 163933440 164722140 165216256 169056360 170379264 174251520 174862336 175703616 176112018 178421760 178836480 180326784 184425120 185868288 190758912 191676672 194641920 195226240 195680020 196720128 202867632 206520320 212974080 214106112 214603776 215248022 218577920 219629520 225408480 227172352 232335360 234271488 234816024 237895680 238448640 239595840 240435712 245900160 247824384 253584540 254345216 255568896 262293504 263555424 264168027 267632640 268254720 270490176 278802432 283965440 286138368 292839360 293520030 295080192 300544640 309780480 312361984 313088032 317931520 319461120 322872033 327866880 329444280 330432512 338112720 340758528 348503040 349724672 351407232 352224036 356843520 357672960 360653568 368850240 371736576 381517824 383353344 390452480 391360040 393440256 405735264 413040640 425948160 428212224 429207552 430496044 437155840 439259040 440280045 450816960 454344704 464670720 468542976 469632048 476897280 479191680 480871424 491800320 495648768 507169080 508690432 511137792 524587008 527110848 528336054 535265280 536509440 538120055 540980352 557604864 567930880 572276736 585678720 587040060 590160384 601089280 619560960 624723968 626176064 635863040 638922240 645744066 655733760 658888560 676225440 681517056 697006080 699449344 702814464 704448072 713687040 715345920 721307136 737700480 743473152 763035648 766706688 780904960 782720080 786880512 811470528 826081280 851896320 858415104 860992088 874311680 878518080 880560090 901633920 908689408 929341440 937085952 939264096 953794560 958383360 961742848 968616099 983600640 991297536 1014338160 1022275584 1049174016 1054221696 1056672108 1070530560 1073018880 1076240110 1081960704 1115209728 1135861760 1144553472 1171357440 1174080120 1180320768 1183864121 1202178560 1239121920 1249447936 1252352128 1271726080 1277844480 1291488132 1311467520 1317777120 1320840135 1352450880 1363034112 1394012160 1398898688 1405628928 1408896144 1430691840 1442614272 1475400960 1486946304 1526071296 1533413376 1561809920 1565440160 1573761024 1614360165 1622941056 1652162560 1703792640 1716830208 1721984176 1748623360 1757036160 1761120180 1803267840 1817378816 1858682880 1874171904 1878528192 1907589120 1916766720 1923485696 1937232198 1967201280 2028676320 2044551168 2098348032 2108443392 2113344216 2141061120 2146037760 2152480220 2163921408 2230419456 2271723520 2289106944 2342714880 2348160240 2360641536 2367728242 2404357120 2478243840 2498895872 2504704256 2543452160 2555688960 2582976264 2622935040 2635554240 2641680270 2704901760 2726068224 2788024320 2797797376 2811257856 2817792288 2861383680 2885228544 2905848297 2950801920 2973892608 3066826752 3123619840 3130880320 3147522048 3228720330 3245882112 3407585280 3433660416 3443968352 3497246720 3514072320 3522240360 3551592363 3606535680 3634757632 3717365760 3748343808 3757056384 3815178240 3833533440 3846971392 3874464396 3934402560 4057352640 4089102336 4196696064 4216886784 4226688432 4292075520 4304960440 4327842816 4460838912 4543447040 4578213888 4685429760 4696320480 4721283072 4735456484 4808714240 4843080495 4956487680 4997791744 5009408512 5111377920 5165952528 5245870080 5271108480 5283360540 5409803520 5452136448 5576048640 5595594752 5622515712 5635584576 5722767360 5770457088 5811696594 5901603840 5919320605 6133653504 6247239680 6261760640 6295044096 6457440660 6491764224 6815170560 6867320832 6887936704 6994493440 7028144640 7044480720 7103184726 7213071360 7434731520 7496687616 7514112768 7630356480 7667066880 7693942784 7748928792 7868805120 8114705280 8178204672 8393392128 8433773568 8453376864 8584151040 8609920880 8655685632 8921677824 9086894080 9370859520 9392640960 9442566144 9470912968 9617428480 9686160990 9995583488 10018817024 10222755840 10331905056 10491740160 10542216960 10566721080 10654777089 10819607040 10904272896 11152097280 11245031424 11271169152 11445534720 11540914176 11623393188 11803207680 11838641210 12267307008 12494479360 12523521280 12590088192 12914881320 12983528448 13630341120 13734641664 13775873408 13988986880 14056289280 14088961440 14206369452 14426142720 14529241485 14869463040 14993375232 15028225536 15334133760 15387885568 15497857584 15737610240 16229410560 16356409344 16786784256 16867547136 16906753728 17168302080 17219841760 17311371264 17757961815 18173788160 18741719040 18785281920 18885132288 18941825936 19234856960 19372321980 19991166976 20037634048 20445511680 20663810112 20983480320 21084433920 21133442160 21309554178 21639214080 22304194560 22490062848 22542338304 22891069440 23081828352 23246786376 23606415360 23677282420 24534614016 24988958720 25047042560 25180176384 25829762640 25967056896 27260682240 27551746816 27977973760 28112578560 28177922880 28412738904 28852285440 29058482970 29986750464 30056451072 30668267520 30775771136 30995715168 31475220480 31964331267 32458821120 32712818688 33735094272 33813507456 34336604160 34439683520 34622742528 35515923630 37483438080 37570563840 37770264576 37883651872 38469713920 38744643960 39982333952 40075268096 40891023360 41327620224 41966960640 42168867840 42266884320 42619108356 43278428160 44608389120 44980125696 45084676608 46163656704 46493572752 47212830720 47354564840 49069228032 49977917440 50094085120 50360352768 51659525280 51934113792 53273885445 54521364480 55103493632 56225157120 56355845760 56825477808 57704570880 58116965940 59973500928 60112902144 61336535040 61551542272 61991430336 62950440960 63928662534 64917642240 67470188544 67627014912 68673208320 68879367040 69245485056 71031847260 74966876160 75141127680 75540529152 75767303744 76939427840 77489287920 80150536192 81782046720 82655240448 83933921280 84337735680 84533768640 85238216712 86556856320 89960251392 90169353216 92327313408 92987145504 94425661440 94709129680 98138456064 99955834880 100188170240 103319050560 103868227584 106547770890 110206987264 112450314240 112711691520 113650955616 115409141760 116233931880 119947001856 120225804288 122673070080 123982860672 125900881920 127857325068 129835284480 134940377088 135254029824 137758734080 138490970112 142063694520 149933752320 150282255360 151081058304 151534607488 153878855680 154978575840 159821656335 160301072384 163564093440 165310480896 168675471360 169067537280 170476433424 173113712640 179920502784 180338706432 184654626816 185974291008 188851322880 189418259360 199911669760 200376340480 206638101120 207736455168 213095541780 220413974528 224900628480 225423383040 227301911232 230818283520 232467863760 240451608576 245346140160 247965721344 251801763840 255714650136 259670568960 269880754176 270508059648 275517468160 276981940224 284127389040 299867504640 300564510720 303069214976 307757711360 309957151680 319643312670 320602144768 330620961792 337350942720 338135074560 340952866848 346227425280 359841005568 360677412864 371948582016 377702645760 378836518720 400752680960 413276202240 415472910336 426191083560 440827949056 449801256960 450846766080 454603822464 461636567040 464935727520 480903217152 490692280320 495931442688 511429300272 519341137920 539761508352 541016119296 551034936320 553963880448 568254778080 599735009280 601129021440 606138429952 619914303360 639286625340 641204289536 661241923584 674701885440 676270149120 681905733696 692454850560 721354825728 743897164032 755405291520 757673037440 801505361920 826552404480 830945820672 852382167120 881655898112 899602513920 901693532160 909207644928 923273134080 929871455040 961806434304 991862885376 1022858600544 1038682275840 1079523016704 1082032238592 1102069872640 1136509556160 1202258042880 1212276859904 1239828606720 1278573250680 1282408579072 1322483847168 1349403770880 1352540298240 1363811467392 1384909701120 1442709651456 1487794328064 1515346074880 1603010723840 1653104808960 1661891641344 1704764334240 1763311796224 1799205027840 1803387064320 1818415289856 1859742910080 1923612868608 1983725770752 2045717201088 2077364551680 2164064477184 2204139745280 2273019112320 2404516085760 2424553719808 2479657213440 2557146501360 2644967694336 2698807541760 2705080596480 2727622934784 2769819402240 2885419302912 2975588656128 3030692149760 3206021447680 3306209617920 3409528668480 3526623592448 3606774128640 3636830579712 3719485820160 3847225737216 3967451541504 4091434402176 4154729103360 4328128954368 4408279490560 4546038224640 4809032171520 4849107439616 4959314426880 5114293002720 5289935388672 5397615083520 5410161192960 5455245869568 5770838605824 5951177312256 6061384299520 6412042895360 6612419235840 6819057336960 7053247184896 7213548257280 7273661159424 7438971640320 7934903083008 8182868804352 8309458206720 8656257908736 8816558981120 9092076449280 9618064343040 9698214879232 9918628853760 10228586005440 10579870777344 10820322385920 10910491739136 11541677211648 11902354624512 12122768599040 13224838471680 13638114673920 14106494369792 14427096514560 14547322318848 14877943280640 15869806166016 16365737608704 17312515817472 17633117962240 18184152898560 19236128686080 19396429758464 19837257707520 20457172010880 21159741554688 21640644771840 21820983478272 23804709249024 24245537198080 26449676943360 27276229347840 28854193029120 29094644637696 29755886561280 31739612332032 32731475217408 34625031634944 35266235924480 36368305797120 38792859516928 39674515415040 40914344021760 42319483109376 43281289543680 43641966956544 47609418498048 48491074396160 52899353886720 54552458695680 57708386058240 58189289275392 59511773122560 63479224664064 65462950434816 70532471848960 72736611594240 77585719033856 79349030830080 81828688043520 86562579087360 87283933913088 95218836996096 96982148792320 105798707773440 109104917391360 116378578550784 119023546245120 126958449328128 130925900869632 145473223188480 155171438067712 158698061660160 163657376087040 173125158174720 174567867826176 190437673992192 193964297584640 211597415546880 218209834782720 232757157101568 238047092490240 261851801739264 290946446376960 317396123320320 327314752174080 349135735652352 380875347984384 387928595169280 436419669565440 465514314203136 476094184980480 523703603478528 581892892753920 634792246640640 654629504348160 698271471304704 775857190338560 872839339130880 952188369960960 1047407206957056 1163785785507840 1309259008696320 1396542942609408 1745678678261760 1904376739921920 2094814413914112 2327571571015680 2618518017392640 3491357356523520 4189628827828224 5237036034785280 6982714713047040 10474072069570560 20948144139141120
- Sum of all divisors σ(n): 81922229154642240
- Sum of proper divisors (its aliquot sum) s(n): 60974085015501120
- 20948144139141120 is an abundant number, because the sum of its proper divisors (60974085015501120) is greater than itself. Its abundance is 40025940876360000
Bases of 20948144139141120
- Binary: 10010100110110000111001111000100001111000000000000000002
- Hexadecimal: 0x4A6C39E21E0000
- Base-36: 5Q9HWKBE2O0
Squares and roots of 20948144139141120
- 20948144139141120 squared (209481441391411202) is 438824742874232455522811274854400
- 20948144139141120 cubed (209481441391411203) is 9192563965550961574998168872267696565469052928000
-
The
square root of 20948144139141120 is 144734737.1543580757 -
The
cube root of 20948144139141120 is 275665.1409567747
Scales and comparisons
How big is 20948144139141120?- 20,948,144,139,141,120 seconds is equal to 666,086,186 years, 39 weeks, 3 days, 19 hours, 12 minutes.
-
To count from 1 to 20,948,144,139,141,120 would take you about one billion, nine hundred ninety-eight million, two hundred fifty-eight thousand, five hundred sixty 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 20948144139141120 cubic inches would be around 22972.1 feet tall.
Recreational maths with 20948144139141120
- 20948144139141120 backwards is 02114193144184902
- 20948144139141120 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 20948144139141120's digits is 54
- 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 20948144139141120 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 20948144139141120 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/20948144139141120/
Chicago style:
Numbermatics. 2024. "Number 20948144139141120 - Facts about the integer". https://numbermatics.com/n/20948144139141120/
The information we have on file for 20948144139141120 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 20948144139141120, math, Factors of 20948144139141120, curriculum, school, college, exams, university, Prime factorization of 20948144139141120, STEM, science, technology, engineering, physics, economics, calculator, twenty quadrillion, nine hundred forty-eight trillion, one hundred forty-four billion, one hundred thirty-nine million, one hundred forty-one thousand, one hundred twenty.