2648438349264000
2,648,438,349,264,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 2648438349264000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1792 divisors.
2648438349264000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 2648438349264000:
27 × 313 × 53 × 473
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 47 × 47 × 47)See below for interesting mathematical facts about the number 2648438349264000 from the Numbermatics database.
Names of 2648438349264000
- Cardinal: 2648438349264000 can be written as Two quadrillion, six hundred forty-eight trillion, four hundred thirty-eight billion, three hundred forty-nine million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 2.648438349264 × 1015
Factors of 2648438349264000
Divisors of 2648438349264000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 47 48 50 54 60 64 72 75 80 81 90 94 96 100 108 120 125 128 135 141 144 150 160 162 180 188 192 200 216 225 235 240 243 250 270 282 288 300 320 324 360 375 376 384 400 405 423 432 450 470 480 486 500 540 564 576 600 640 648 675 705 720 729 750 752 800 810 846 864 900 940 960 972 1000 1080 1125 1128 1152 1175 1200 1215 1269 1296 1350 1410 1440 1458 1500 1504 1600 1620 1692 1728 1800 1880 1920 1944 2000 2025 2115 2160 2187 2209 2250 2256 2350 2400 2430 2538 2592 2700 2820 2880 2916 3000 3008 3200 3240 3375 3384 3456 3525 3600 3645 3760 3807 3888 4000 4050 4230 4320 4374 4418 4500 4512 4700 4800 4860 5076 5184 5400 5640 5760 5832 5875 6000 6016 6075 6345 6480 6561 6627 6750 6768 7050 7200 7290 7520 7614 7776 8000 8100 8460 8640 8748 8836 9000 9024 9400 9600 9720 10125 10152 10368 10575 10800 10935 11045 11280 11421 11664 11750 12000 12150 12690 12960 13122 13254 13500 13536 14100 14400 14580 15040 15228 15552 16000 16200 16920 17280 17496 17625 17672 18000 18048 18225 18800 19035 19440 19683 19881 20250 20304 21150 21600 21870 22090 22560 22842 23328 23500 24000 24300 25380 25920 26244 26508 27000 27072 28200 28800 29160 30080 30375 30456 31104 31725 32400 32805 33135 33840 34263 34992 35250 35344 36000 36450 37600 38070 38880 39366 39762 40500 40608 42300 43200 43740 44180 45120 45684 46656 47000 48000 48600 50760 51840 52488 52875 53016 54000 54144 54675 55225 56400 57105 58320 59049 59643 60750 60912 63450 64800 65610 66270 67680 68526 69984 70500 70688 72000 72900 75200 76140 77760 78732 79524 81000 81216 84600 86400 87480 88360 90240 91125 91368 93312 94000 95175 97200 98415 99405 101520 102789 103823 104976 105750 106032 108000 109350 110450 112800 114210 116640 118098 119286 121500 121824 126900 129600 131220 132540 135360 137052 139968 141000 141376 144000 145800 150400 152280 155520 157464 158625 159048 162000 162432 164025 165675 169200 171315 174960 176720 177147 178929 182250 182736 188000 190350 194400 196830 198810 203040 205578 207646 209952 211500 212064 216000 218700 220900 225600 228420 233280 236196 238572 243000 243648 253800 259200 262440 265080 270720 273375 274104 276125 279936 282000 282752 285525 291600 295245 298215 304560 308367 311469 314928 317250 318096 324000 328050 331350 338400 342630 349920 353440 354294 357858 364500 365472 376000 380700 388800 393660 397620 406080 411156 415292 419904 423000 424128 432000 437400 441800 451200 456840 466560 472392 475875 477144 486000 487296 492075 497025 507600 513945 519115 524880 530160 531441 536787 546750 548208 552250 564000 571050 583200 590490 596430 609120 616734 622938 629856 634500 636192 648000 656100 662700 676800 685260 699840 706880 708588 715716 729000 730944 752000 761400 777600 787320 795240 812160 820125 822312 828375 830584 839808 846000 848256 856575 874800 883600 885735 894645 913680 925101 934407 944784 951750 954288 972000 984150 994050 1015200 1027890 1038230 1049760 1060320 1062882 1073574 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4294296 4374000 4385664 4418000 4428675 4473225 4568400 4625505 4672035 4723920 4771440 4831083 4920750 4933872 4970250 4983504 5076000 5139450 5191150 5248800 5301600 5314410 5367870 5482080 5550606 5606442 5668704 5710500 5725728 5832000 5904900 5964300 6091200 6167340 6229380 6298560 6361920 6377292 6441444 6561000 6578496 6627000 6644672 6768000 6852600 6998400 7068800 7085880 7157160 7309440 7381125 7400808 7455375 7475256 7558272 7614000 7634304 7709175 7786725 7873200 7952400 7971615 8051805 8223120 8305840 8325909 8409663 8503056 8565750 8588592 8748000 8836000 8857350 8946450 9136800 9251010 9344070 9447840 9542880 9662166 9841500 9867744 9940500 9967008 10152000 10278900 10382300 10497600 10603200 10628820 10735740 10964160 11101212 11212884 11337408 11421000 11451456 11664000 11809800 11928600 12182400 12334680 12458760 12597120 12723840 12754584 12848625 12882888 12977875 13122000 13156992 13254000 13286025 13289344 13419675 13705200 13876515 14016105 14171760 14314320 14493249 14762250 14801616 14910750 14950512 15228000 15418350 15573450 15746400 15904800 15943230 16103610 16446240 16611680 16651818 16819326 17006112 17131500 17177184 17496000 17672000 17714700 17892900 18273600 18502020 18688140 18895680 19085760 19324332 19683000 19735488 19881000 19934016 20304000 20557800 20764600 20995200 21206400 21257640 21471480 21928320 22143375 22202424 22366125 22425768 22674816 22842000 22902912 23127525 23360175 23619600 23857200 24155415 24669360 24917520 24977727 25228989 25509168 25697250 25765776 25955750 26244000 26508000 26572050 26839350 27410400 27753030 28032210 28343520 28628640 28986498 29524500 29603232 29821500 29901024 30456000 30836700 31146900 31492800 31809600 31886460 32207220 32892480 33223360 33303636 33638652 34012224 34263000 34354368 34992000 35344000 35429400 35785800 36547200 37004040 37376280 37791360 38171520 38545875 38648664 38933625 39366000 39470976 39762000 39858075 39868032 40259025 41115600 41529200 41629545 42048315 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24522577308 24977727000 25044334272 25228989000 25509168000 25765776000 26087848200 26642908800 26910921600 27247308120 27827038080 28174876056 28382612625 28986498000 29063795328 29348829225 29973272400 30274786800 30653221635 31305417840 32609810250 32696769744 33303636000 33638652000 34059135150 34783797600 35218595070 36329744160 36783865962 37466590500 37566501408 37843483500 38648664000 39131772300 39964363200 40366382400 40870962180 41740557120 43479747000 43595692992 44404848000 44851536000 45412180200 46378396800 46958126760 47957235840 48439658880 48914715375 49045154616 49955454000 50088668544 50457978000 51088702725 52175696400 54494616240 55175798943 56349752112 56765225250 57972996000 58697658450 59946544800 60549573600 61306443270 62610835680 65219620500 65393539488 66607272000 67277304000 68118270300 69567595200 70437190140 72659488320 73567731924 74933181000 75133002816 75686967000 77297328000 78263544600 79928726400 80732764800 81741924360 83481114240 85147837875 86959494000 87191385984 88046487675 90824360400 91959664905 93916253520 97829430750 98090309232 99910908000 100915956000 102177405450 104351392800 108989232480 110351597886 112699504224 113530450500 115945992000 117395316900 119893089600 121099147200 122612886540 125221671360 130439241000 130787078976 133214544000 134554608000 136236540600 139135190400 140874380280 145318976640 146744146125 147135463848 149866362000 150266005632 151373934000 153266108175 156527089200 163483848720 165527396829 170295675750 173918988000 176092975350 181648720800 183919329810 187832507040 195658861500 196180618464 199821816000 201831912000 204354810900 208702785600 217978464960 220703195772 225399008448 227060901000 231891984000 234790633800 239786179200 242198294400 245225773080 250443342720 255443513625 260878482000 261574157952 272473081200 275878994715 281748760560 293488292250 294270927696 299732724000 302747868000 306532216350 313054178400 326967697440 331054793658 340591351500 347837976000 352185950700 363297441600 367838659620 375665014080 391317723000 392361236928 399643632000 403663824000 408709621800 417405571200 435956929920 440232438375 441406391544 450798016896 454121802000 459798324525 469581267600 490451546160 510887027250 521756964000 544946162400 551757989430 563497521120 586976584500 588541855392 599465448000 605495736000 613064432700 626108356800 653935394880 662109587316 681182703000 695675952000 704371901400 726594883200 735677319240 751330028160 766330540875 782635446000 784722473856 817419243600 827636984145 880464876750 882812783088 908243604000 919596649050 939162535200 980903092320 1021774054500 1043513928000 1089892324800 1103515978860 1126995042240 1173953169000 1177083710784 1198930896000 1210991472000 1226128865400 1252216713600 1307870789760 1324219174632 1362365406000 1379394973575 1408743802800 1471354638480 1532661081750 1565270892000 1634838487200 1655273968290 1760929753500 1765625566176 1816487208000 1839193298100 1878325070400 1961806184640 2043548109000 2087027856000 2179784649600 2207031957720 2253990084480 2298991622625 2347906338000 2354167421568 2452257730800 2648438349264 2724730812000 2758789947150 2817487605600 2942709276960 3065322163500 3130541784000 3269676974400 3310547936580 3521859507000 3531251132352 3632974416000 3678386596200 3756650140800 3923612369280 4087096218000 4138184920725 4414063915440 4597983245250 4695812676000 4904515461600 5296876698528 5449461624000 5517579894300 5634975211200 5885418553920 6130644327000 6261083568000 6539353948800 6621095873160 6896974867875 7043719014000 7062502264704 7356773192400 8174192436000 8276369841450 8828127830880 9195966490500 9391625352000 9809030923200 10593753397056 10898923248000 11035159788600 11269950422400 11770837107840 12261288654000 13242191746320 13793949735750 14087438028000 14713546384800 16348384872000 16552739682900 17656255661760 18391932981000 18783250704000 19618061846400 20690924603625 21187506794112 22070319577200 24522577308000 26484383492640 27587899471500 28174876056000 29427092769600 32696769744000 33105479365800 35312511323520 36783865962000 41381849207250 44140639154400 49045154616000 52968766985280 55175798943000 56349752112000 58854185539200 66210958731600 73567731924000 82763698414500 88281278308800 98090309232000 105937533970560 110351597886000 132421917463200 147135463848000 165527396829000 176562556617600 220703195772000 264843834926400 294270927696000 331054793658000 441406391544000 529687669852800 662109587316000 882812783088000 1324219174632000 2648438349264000
- Sum of all divisors σ(n): 10091733411801600
- Sum of proper divisors (its aliquot sum) s(n): 7443295062537600
- 2648438349264000 is an abundant number, because the sum of its proper divisors (7443295062537600) is greater than itself. Its abundance is 4794856713273600
Bases of 2648438349264000
- Binary: 10010110100010111101100110110000010001110100100000002
- Hexadecimal: 0x968BD9B047480
- Base-36: Q2SJS4I000
Squares and roots of 2648438349264000
- 2648438349264000 squared (26484383492640002) is 7014225689852221249341696000000
- 2648438349264000 cubed (26484383492640003) is 18576744307397358481710225100926111744000000000
-
The
square root of 2648438349264000 is 51462980.3768106691 -
The
cube root of 2648438349264000 is 138355.5619382393
Scales and comparisons
How big is 2648438349264000?- 2,648,438,349,264,000 seconds is equal to 84,212,147 years, 18 weeks, 1 day.
-
To count from 1 to 2,648,438,349,264,000 would take you about two hundred fifty-two million, six hundred thirty-six thousand, four hundred forty-two 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 2648438349264000 cubic inches would be around 11529.6 feet tall.
Recreational maths with 2648438349264000
- 2648438349264000 backwards is 0004629438348462
- The number of decimal digits it has is: 16
- The sum of 2648438349264000's digits is 63
- More coming soon!
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"Number 2648438349264000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 2648438349264000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/2648438349264000/
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The information we have on file for 2648438349264000 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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