47968549381239680
47,968,549,381,239,680 is an even composite number composed of eight prime numbers multiplied together.
47968549381239680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 47968549381239680:
27 × 5 × 17 × 23 × 29 × 449 × 1093 × 13469
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 23 × 29 × 449 × 1093 × 13469)See below for interesting mathematical facts about the number 47968549381239680 from the Numbermatics database.
Names of 47968549381239680
- Cardinal: 47968549381239680 can be written as Forty-seven quadrillion, nine hundred sixty-eight trillion, five hundred forty-nine billion, three hundred eighty-one million, two hundred thirty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.796854938123968 × 1016
Factors of 47968549381239680
Divisors of 47968549381239680
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 23 29 32 34 40 46 58 64 68 80 85 92 115 116 128 136 145 160 170 184 230 232 272 290 320 340 368 391 449 460 464 493 544 580 640 667 680 736 782 898 920 928 986 1088 1093 1160 1334 1360 1472 1564 1796 1840 1856 1955 1972 2176 2186 2245 2320 2465 2668 2720 2944 3128 3335 3592 3680 3712 3910 3944 4372 4490 4640 4930 5336 5440 5465 6256 6670 7184 7360 7633 7820 7888 8744 8980 9280 9860 10327 10672 10880 10930 11339 12512 13021 13340 13469 14368 14720 15266 15640 15776 17488 17960 18560 18581 19720 20654 21344 21860 22678 25024 25139 26042 26680 26938 28736 30532 31280 31552 31697 34976 35920 37162 38165 39440 41308 42688 43720 45356 50048 50278 51635 52084 53360 53876 56695 57472 61064 62560 63104 63394 65105 67345 69952 71840 74324 76330 78880 82616 85376 87440 90712 92905 100556 103270 104168 106720 107752 113390 122128 125120 125695 126788 130210 134690 139904 143680 148648 152660 157760 158485 165232 174880 175559 181424 185810 201112 206540 208336 213440 215504 221357 226780 228973 244256 250240 251390 253576 260420 269380 287360 297296 299483 305320 309787 315520 316970 330464 349760 351118 362848 371620 390601 402224 413080 416672 426880 427363 431008 442714 453560 457946 488512 490757 502780 507152 520840 538760 538849 594592 598966 610640 619574 633940 660928 699520 702236 725696 729031 743240 781202 804448 826160 833344 854726 862016 877795 885428 907120 915892 977024 981514 1005560 1014304 1041680 1077520 1077698 1106785 1144865 1189184 1197932 1221280 1239148 1267880 1321856 1404472 1451392 1458062 1486480 1497415 1548935 1562404 1608896 1652320 1666688 1709452 1724032 1755590 1770856 1814240 1831784 1953005 1963028 2011120 2028608 2083360 2136815 2155040 2155396 2213570 2289730 2378368 2395864 2442560 2453785 2478296 2535760 2694245 2808944 2916124 2972960 2994830 3097870 3124808 3217792 3304640 3418904 3511180 3541712 3628480 3645155 3663568 3906010 3926056 4022240 4057216 4166720 4273630 4310080 4310792 4427140 4579460 4791728 4885120 4907570 4956592 5071520 5091211 5266379 5388490 5617888 5832248 5945920 5989660 6047581 6195740 6249616 6609280 6640217 6837808 7022360 7083424 7256960 7290310 7327136 7812020 7852112 8044480 8333440 8342869 8547260 8620160 8621584 8854280 8983823 9158920 9583456 9815140 9913184 10143040 10182422 10532758 10776980 11235776 11287411 11664496 11891840 11979320 12095162 12391480 12393527 12499232 13280434 13675616 14044720 14166848 14231953 14580620 14654272 14721617 15624040 15704224 16088960 16685738 17094520 17243168 17708560 17967646 18317840 19166912 19630280 19826368 20286080 20364844 21065516 21553960 22471552 22574822 23328992 23958640 24190324 24782960 24787054 24998464 25456055 26331895 26560868 27351232 28089440 28333696 28463906 29161240 29308544 29443234 30237905 31248080 31408448 33201085 33371476 34189040 34486336 35417120 35935292 36635680 38333824 39260560 39652736 40729688 41714345 42131032 43107920 44919115 45149644 46657984 47917280 48380648 49565920 49574108 49996928 50912110 52663790 53121736 54702464 56178880 56437055 56927812 58322480 58886468 60475810 61967635 62496160 62816896 66402170 66742952 68378080 68972672 70834240 71159765 71870584 73271360 73608085 78521120 81459376 83428690 84262064 86215840 89838230 90299288 93315968 95834560 96761296 99131840 99148216 101824220 102808877 105327580 106243472 112357760 112874110 113855624 116644960 117772936 120951620 123935270 124992320 132804340 133485904 136756160 139094363 141668480 142319530 143741168 146542720 147216170 152724991 157042240 162918752 166857380 168524128 172431680 175379849 179676460 180598576 191669120 191885987 193522592 198263680 198296432 203648440 205617754 210655160 212486944 225748220 227711248 233289920 235545872 241903240 241943201 247870540 249984640 250267489 265608680 266971808 273512320 278188726 284639060 287482336 294432340 305449982 314084480 325837504 327334919 333714760 337048256 338597191 344863360 350759698 359352920 361197152 383771974 387045184 396592864 407296880 411235508 421310320 424973888 426926893 451496440 455422496 466579840 471091744 483806480 483886402 495741080 500534978 514044385 531217360 533943616 556377452 569278120 574964672 588864680 610899964 651675008 654669838 667429520 674096512 677194382 695471815 701519396 718705840 722394304 763624955 767543948 774090368 793185728 814593760 822471016 842620640 849947776 853853786 876899245 902992880 910844992 942183488 959429935 967612960 967772804 991482160 1001069956 1028088770 1062434720 1067887232 1112754904 1138556240 1149929344 1177729360 1209716005 1221799928 1251337445 1309339676 1334859040 1354388764 1390943630 1403038792 1437411680 1444788608 1527249910 1535087896 1586371456 1629187520 1636674595 1644942032 1685241280 1692985955 1707707572 1753798490 1805985760 1821689984 1884366976 1918859870 1935225920 1935545608 1982964320 2002139912 2056177540 2124869440 2134634465 2225509808 2277112480 2355458720 2364604171 2419432010 2443599856 2502674890 2618679352 2669718080 2708777528 2781887260 2806077584 2874823360 2981457433 3054499820 3070175792 3258375040 3273349190 3289884064 3370482560 3385971910 3415415144 3507596980 3611971520 3837719740 3870451840 3871091216 3965928640 4004279824 4033736527 4112355080 4249738880 4269268930 4451019616 4554224960 4710917440 4729208342 4838864020 4887199712 5005349780 5237358704 5339436160 5417555056 5563774520 5564693623 5612155168 5749646720 5756152247 5962914866 6108999640 6140351584 6546698380 6579768128 6610006033 6771943820 6830830288 7015193960 7223943040 7257757181 7675439480 7742182432 7931857280 8008559648 8067473054 8224710160 8538537860 8902039232 9108449920 9421834880 9458416684 9677728040 9774399424 9819318539 10010699560 10474717408 10835110112 11127549040 11129387246 11224310336 11512304494 11823020855 11925829732 12217999280 12280703168 13093396760 13159536256 13220012066 13543887640 13661660576 14030387920 14515514362 14907287165 15350878960 15484364864 16017119296 16134946108 16449420320 17077075720 17804078464 18916833368 19355456080 19548798848 19638637078 20021399120 20168682635 20949434816 21670220224 22255098080 22258774492 22448620672 23024608988 23646041710 23851659464 24435998560 24561406336 26186793520 26440024132 27087775280 27323321152 27823468115 28060775840 28780761235 29031028724 29814574330 30701757920 30968729728 32034238592 32269892216 32898840640 33050030165 34154151440 36288785905 37833666736 38710912160 39277274156 40042798240 40337365270 41898869632 43340440448 44510196160 44517548984 46049217976 47292083420 47703318928 48871997120 49096592695 52373587040 52880048264 54175550560 54646642304 55646936230 56121551680 57561522470 58062057448 59629148660 61403515840 64539784432 65797681280 66100060330 68308302880 68573520959 72577571810 75667333472 77421824320 78554548312 80085596480 80674730540 89020392320 89035097968 92098435952 94584166840 95406637856 97743994240 98193185390 104747174080 105760096528 108351101120 111293872460 112243103360 112370102561 115123044940 116124114896 119258297320 122807031680 129079568864 132200120660 136616605760 137147041918 145155143620 151334666944 152030138759 154843648640 157109096624 160171192960 161349461080 166928415163 178070195936 184196871904 189168333680 190813275712 191690174957 196386370780 209494348160 211520193056 216702202240 222587744920 224740205122 230246089880 232248229792 238516594640 258159137728 264400241320 273233211520 274294083836 290310287240 302669333888 304060277518 314218193248 322698922160 333856830326 342867604795 356140391872 368393743808 378336667360 381626551424 383380349914 392772741560 423040386112 445175489840 449480410244 460492179760 464496459584 477033189280 516318275456 528800482640 548588167672 561850512805 580620574480 608120555036 628436386496 645397844320 667713660652 685735209590 712280783744 736787487616 756673334720 760150693795 766760699828 785545483120 834642075815 846080772224 890350979680 898960820488 920984359520 928992919168 954066378560 958450874785 1057600965280 1097176335344 1123701025610 1161241148960 1216241110072 1256872772992 1290795688640 1335427321304 1371470419180 1513346669440 1520301387590 1533521399656 1571090966240 1669284151630 1780701959360 1797921640976 1841968719040 1908132757120 1916901749570 2115201930560 2194352670688 2247402051220 2322482297920 2432482220144 2581591377280 2584512358903 2670854642608 2742940838360 3040602775180 3067042799312 3142181932480 3258732974269 3338568303260 3561403918720 3595843281952 3683937438080 3833803499140 4230403861120 4388705341376 4408874024011 4494804102440 4644964595840 4864964440288 5169024717806 5341709285216 5485881676720 6081205550360 6134085598624 6284363864960 6517465948538 6677136606520 7191686563904 7667606998280 8777410682752 8817748048022 8989608204880 9729928880576 10338049435612 10683418570432 10971763353440 12162411100720 12268171197248 12922561794515 13034931897076 13354273213040 14383373127808 15335213996560 16293664871345 17635496096044 17979216409760 19459857761152 20676098871224 21366837140864 21943526706880 22044370120055 24324822201440 24536342394496 25845123589030 26069863794152 26708546426080 30670427993120 32587329742690 35270992192088 35958432819520 41352197742448 43887053413760 44088740240110 48649644402880 51690247178060 52139727588304 53417092852160 61340855986240 65174659485380 70541984384176 71916865639040 74950858408187 82704395484896 88177480480220 97299288805760 103380494356120 104279455176608 106834185704320 122681711972480 130349318970760 141083968768352 149901716816374 165408790969792 176354960960440 206760988712240 208558910353216 260698637941520 282167937536704 299803433632748 330817581939584 352709921920880 374754292040935 413521977424480 417117820706432 521397275883040 564335875073408 599606867265496 705419843841760 749508584081870 827043954848960 1042794551766080 1199213734530992 1410839687683520 1499017168163740 1654087909697920 2085589103532160 2398427469061984 2821679375367040 2998034336327480 4796854938123968 5996068672654960 9593709876247936 11992137345309920 23984274690619840 47968549381239680
- Sum of all divisors σ(n): 131490344692800000
- Sum of proper divisors (its aliquot sum) s(n): 83521795311560320
- 47968549381239680 is an abundant number, because the sum of its proper divisors (83521795311560320) is greater than itself. Its abundance is 35553245930320640
Bases of 47968549381239680
- Binary: 101010100110101100100100001110100100001001110011100000002
- Hexadecimal: 0xAA6B243A427380
- Base-36: D4BFJDACHVK
Squares and roots of 47968549381239680
- 47968549381239680 squared (479685493812396802) is 2300981729740429686992333606502400
- 47968549381239680 cubed (479685493812396803) is 110374755728384097053634314159314519613820895232000
-
The
square root of 47968549381239680 is 219017235.3520144313 -
The
cube root of 47968549381239680 is 363344.7268255641
Scales and comparisons
How big is 47968549381239680?- 47,968,549,381,239,680 seconds is equal to 1,525,251,493 years, 44 weeks, 4 days, 8 hours, 21 minutes, 20 seconds.
-
To count from 1 to 47,968,549,381,239,680 would take you about four billion, five hundred seventy-five million, seven hundred fifty-four thousand, four hundred eighty-one 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 47968549381239680 cubic inches would be around 30278.7 feet tall.
Recreational maths with 47968549381239680
- 47968549381239680 backwards is 08693218394586974
- 47968549381239680 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 47968549381239680's digits is 92
- More coming soon!
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"Number 47968549381239680 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 47968549381239680 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/47968549381239680/
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The information we have on file for 47968549381239680 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 47968549381239680, math, Factors of 47968549381239680, curriculum, school, college, exams, university, Prime factorization of 47968549381239680, STEM, science, technology, engineering, physics, economics, calculator, forty-seven quadrillion, nine hundred sixty-eight trillion, five hundred forty-nine billion, three hundred eighty-one million, two hundred thirty-nine thousand, six hundred eighty.