3948984421632000
3,948,984,421,632,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 3948984421632000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
3948984421632000 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 3948984421632000:
211 × 32 × 53 × 292 × 653 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 29 × 29 × 653 × 3121)See below for interesting mathematical facts about the number 3948984421632000 from the Numbermatics database.
Names of 3948984421632000
- Cardinal: 3948984421632000 can be written as Three quadrillion, nine hundred forty-eight trillion, nine hundred eighty-four billion, four hundred twenty-one million, six hundred thirty-two thousand.
Scientific notation
- Scientific notation: 3.948984421632 × 1015
Factors of 3948984421632000
Divisors of 3948984421632000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 64 72 75 80 87 90 96 100 116 120 125 128 144 145 150 160 174 180 192 200 225 232 240 250 256 261 288 290 300 320 348 360 375 384 400 435 450 464 480 500 512 522 576 580 600 640 653 696 720 725 750 768 800 841 870 900 928 960 1000 1024 1044 1125 1152 1160 1200 1280 1305 1306 1392 1440 1450 1500 1536 1600 1682 1740 1800 1856 1920 1959 2000 2048 2088 2175 2250 2304 2320 2400 2523 2560 2610 2612 2784 2880 2900 3000 3072 3121 3200 3265 3364 3480 3600 3625 3712 3840 3918 4000 4176 4205 4350 4500 4608 4640 4800 5046 5120 5220 5224 5568 5760 5800 5877 6000 6144 6242 6400 6525 6530 6728 6960 7200 7250 7424 7569 7680 7836 8000 8352 8410 8700 9000 9216 9280 9363 9600 9795 10092 10240 10440 10448 10875 11136 11520 11600 11754 12000 12484 12615 12800 13050 13060 13456 13920 14400 14500 14848 15138 15360 15605 15672 16000 16325 16704 16820 17400 18000 18432 18560 18726 18937 19200 19590 20184 20880 20896 21025 21750 22272 23040 23200 23508 24000 24968 25230 25600 26100 26120 26912 27840 28089 28800 29000 29385 29696 30276 30720 31210 31344 32000 32625 32650 33408 33640 34800 36000 37120 37452 37845 37874 38400 39180 40368 41760 41792 42050 43500 44544 46080 46400 46815 47016 48000 48975 49936 50460 51200 52200 52240 53824 55680 56178 56811 57600 58000 58770 59392 60552 62420 62688 63075 64000 65250 65300 66816 67280 69600 72000 74240 74904 75690 75748 76800 78025 78360 80736 81625 83520 83584 84100 87000 89088 90509 92160 92800 93630 94032 94685 96000 97950 99872 100920 104400 104480 105125 107648 111360 112356 113622 115200 116000 117540 121104 124840 125376 126150 128000 130500 130600 133632 134560 139200 140445 144000 146925 148480 149808 151380 151496 153600 156050 156720 161472 163250 167040 167168 168200 170433 174000 178176 181018 185600 187260 188064 189225 189370 192000 195900 199744 201840 208800 208960 210250 215296 222720 224712 227244 230400 232000 234075 235080 242208 244875 249680 250752 252300 256000 261000 261200 267264 269120 271527 278400 280890 284055 288000 293850 296960 299616 302760 302992 312100 313440 315375 322944 326500 334080 334336 336400 340866 348000 362036 371200 374520 376128 378450 378740 384000 390125 391800 399488 403680 417600 417920 420500 430592 445440 449424 452545 454488 460800 464000 468150 470160 473425 484416 489750 499360 501504 504600 522000 522400 534528 538240 543054 549173 556800 561780 568110 576000 587700 599232 605520 605984 624200 626880 630750 645888 653000 668160 668672 672800 681732 696000 702225 724072 734625 742400 749040 752256 756900 757480 768000 780250 783600 798976 807360 814581 835200 835840 841000 852165 861184 890880 898848 905090 908976 928000 936300 940320 946125 946850 968832 979500 998720 1003008 1009200 1044000 1044800 1076480 1086108 1098346 1113600 1123560 1136220 1152000 1170375 1175400 1198464 1211040 1211968 1248400 1253760 1261500 1291776 1306000 1336320 1337344 1345600 1357635 1363464 1392000 1404450 1420275 1448144 1469250 1484800 1498080 1504512 1513800 1514960 1560500 1567200 1597952 1614720 1629162 1647519 1670400 1671680 1682000 1704330 1722368 1797696 1810180 1817952 1856000 1872600 1880640 1892250 1893700 1937664 1959000 1997440 2006016 2018400 2038013 2088000 2089600 2152960 2172216 2196692 2227200 2247120 2262725 2272440 2304000 2340750 2350800 2367125 2396928 2422080 2423936 2496800 2507520 2523000 2583552 2612000 2624761 2672640 2691200 2715270 2726928 2745865 2784000 2808900 2840550 2896288 2938500 2996160 3009024 3027600 3029920 3121000 3134400 3195904 3229440 3258324 3295038 3340800 3343360 3364000 3408660 3511125 3595392 3620360 3635904 3712000 3745200 3761280 3784500 3787400 3875328 3918000 3994880 4012032 4036800 4072905 4076026 4176000 4179200 4260825 4305920 4344432 4393384 4454400 4494240 4525450 4544880 4681500 4701600 4734250 4793856 4844160 4847872 4942557 4993600 5015040 5046000 5167104 5224000 5249522 5382400 5430540 5453856 5491730 5568000 5617800 5681100 5792576 5877000 5992320 6018048 6055200 6059840 6114039 6242000 6268800 6391808 6458880 6516648 6590076 6681600 6686720 6728000 6788175 6817320 7022250 7101375 7190784 7240720 7271808 7424000 7490400 7522560 7569000 7574800 7750656 7836000 7874283 7989760 8073600 8145810 8152052 8237595 8352000 8358400 8521650 8611840 8688864 8786768 8988480 9050900 9089760 9363000 9403200 9468500 9587712 9688320 9695744 9885114 9987200 10030080 10092000 10190065 10448000 10499044 10764800 10861080 10907712 10983460 11136000 11235600 11313625 11362200 11585152 11754000 11984640 12036096 12110400 12119680 12228078 12484000 12537600 12917760 13033296 13123805 13180152 13363200 13456000 13576350 13634640 13729325 14044500 14202750 14381568 14481440 14543616 14980800 15045120 15138000 15149600 15501312 15672000 15748566 15979520 16147200 16291620 16304104 16475190 16704000 16716800 17043300 17377728 17573536 17976960 18101800 18179520 18342117 18726000 18806400 18937000 19175424 19376640 19391488 19770228 19974400 20060160 20184000 20364525 20380130 20896000 20998088 21304125 21529600 21722160 21815424 21966920 22272000 22471200 22627250 22724400 23170304 23508000 23622849 23969280 24220800 24239360 24456156 24712785 24968000 25075200 25835520 26066592 26247610 26360304 26912000 27152700 27269280 27458650 28089000 28405500 28763136 28962880 29087232 29961600 30090240 30276000 30299200 30570195 31344000 31497132 31959040 32294400 32583240 32608208 32950380 33408000 33433600 33940875 34086600 34755456 35147072 35953920 36203600 36359040 36684234 37452000 37612800 37874000 38753280 38782976 39371415 39540456 39948800 40368000 40729050 40760260 41187975 41792000 41996176 42608250 43059200 43444320 43630848 43933840 44942400 45254500 45448800 46340608 47016000 47245698 47938560 48441600 48478720 48912312 49425570 49936000 50150400 50950325 52133184 52495220 52720608 53824000 54305400 54538560 54917300 56178000 56811000 57526272 57925760 58174464 59102377 59923200 60180480 60552000 60598400 61140390 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42176486400 42553711440 42849223325 43630848000 44326782750 45390625536 46955819520 47245698000 47281901600 48379594752 48912312000 50395411200 50611783680 51419067990 52133184000 52173132800 52720608000 53192139300 54847005856 56738281920 58694774400 59102377000 60474493440 60520834048 61702881588 62607759360 62994264000 63264729600 65216416000 66490174125 67193881600 68085938304 68558757320 69510912000 70294144000 70922852400 73368468000 75593116800 75651042560 77128601985 78259699200 79080912000 80632657920 82270508784 83992352000 84352972800 85107422880 85698446650 88653565500 90781251072 93911639040 94491396000 94563803200 97824624000 100790822400 102838135980 104266368000 104346265600 105441216000 106384278600 109694011712 113476563840 117389548800 118204754000 120948986880 121041668096 123405763176 125988528000 126529459200 128547669975 130432832000 132980348250 134387763200 136171876608 137117514640 140588288000 141845704800 146736936000 151186233600 151302085120 154257203970 156519398400 158161824000 164541017568 167984704000 170214845760 171396893300 177307131000 181562502144 187823278080 188982792000 189127606400 195649248000 201581644800 205676271960 208532736000 210882432000 212768557200 214246116625 219388023424 226953127680 234779097600 236409508000 241897973760 246811526352 251977056000 253058918400 257095339950 260865664000 265960696500 272343753216 274235029280 283691409600 293473872000 302372467200 302604170240 308514407940 313038796800 316323648000 329082035136 335969408000 340429691520 342793786600 354614262000 363125004288 377965584000 378255212800 385643009925 391298496000 403163289600 411352543920 421764864000 425537114400 428492233250 438776046848 453906255360 469558195200 472819016000 493623052704 503954112000 514190679900 521731328000 531921393000 544687506432 548470058560 567382819200 586947744000 604744934400 605208340480 617028815880 632647296000 642738349875 658164070272 671938816000 680859383040 685587573200 709228524000 755931168000 756510425600 771286019850 782596992000 822705087840 851074228800 856984466500 877552093696 907812510720 939116390400 945638032000 987246105408 1007908224000 1028381359800 1063842786000 1089375012864 1096940117120 1134765638400 1173895488000 1209489868800 1234057631760 1265294592000 1285476699750 1316328140544 1361718766080 1371175146400 1418457048000 1511862336000 1513020851200 1542572039700 1565193984000 1645410175680 1702148457600 1713968933000 1755104187392 1815625021440 1891276064000 1928215049625 1974492210816 2015816448000 2056762719600 2127685572000 2193880234240 2269531276800 2347790976000 2468115263520 2570953399500 2632656281088 2723437532160 2742350292800 2836914096000 3023724672000 3026041702400 3085144079400 3290820351360 3404296915200 3427937866000 3510208374784 3782552128000 3856430099250 3948984421632 4113525439200 4255371144000 4387760468480 4539062553600 4695581952000 4936230527040 5141906799000 5265312562176 5446875064320 5484700585600 5673828192000 6047449344000 6170288158800 6581640702720 6808593830400 6855875732000 7565104256000 7712860198500 7897968843264 8227050878400 8510742288000 8775520936960 9078125107200 9872461054080 10283813598000 10530625124352 10969401171200 11347656384000 12340576317600 13163281405440 13617187660800 13711751464000 15130208512000 15425720397000 15795937686528 16454101756800 17021484576000 17551041873920 19744922108160 20567627196000 21938802342400 22695312768000 24681152635200 26326562810880 27234375321600 27423502928000 30851440794000 31591875373056 32908203513600 34042969152000 39489844216320 41135254392000 43877604684800 45390625536000 49362305270400 52653125621760 54847005856000 61702881588000 65816407027200 68085938304000 78979688432640 82270508784000 87755209369600 98724610540800 109694011712000 123405763176000 131632814054400 136171876608000 157959376865280 164541017568000 197449221081600 219388023424000 246811526352000 263265628108800 329082035136000 394898442163200 438776046848000 493623052704000 658164070272000 789796884326400 987246105408000 1316328140544000 1974492210816000 3948984421632000
- Sum of all divisors σ(n): 14768985320041680
- Sum of proper divisors (its aliquot sum) s(n): 10820000898409680
- 3948984421632000 is an abundant number, because the sum of its proper divisors (10820000898409680) is greater than itself. Its abundance is 6871016476777680
Bases of 3948984421632000
- Binary: 11100000011110010100100101011010110011001000000000002
- Hexadecimal: 0xE079495ACC800
- Base-36: 12VSQECVSW0
Squares and roots of 3948984421632000
- 3948984421632000 squared (39489844216320002) is 15594477962292221549543424000000
- 3948984421632000 cubed (39489844216320003) is 61582350536575518420796145058308947968000000000
-
The
square root of 3948984421632000 is 62840945.4228053447 -
The
cube root of 3948984421632000 is 158062.3641759571
Scales and comparisons
How big is 3948984421632000?- 3,948,984,421,632,000 seconds is equal to 125,565,489 years, 31 weeks, 8 hours.
-
To count from 1 to 3,948,984,421,632,000 would take you about three hundred seventy-six million, six hundred ninety-six thousand, four hundred sixty-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 3948984421632000 cubic inches would be around 13171.9 feet tall.
Recreational maths with 3948984421632000
- 3948984421632000 backwards is 0002361244898493
- The number of decimal digits it has is: 16
- The sum of 3948984421632000's digits is 63
- More coming soon!
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"Number 3948984421632000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 3948984421632000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/3948984421632000/
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The information we have on file for 3948984421632000 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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