82813227498770941482918720
82,813,227,498,770,941,482,918,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 82813227498770941482918720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
82813227498770941482918720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 82813227498770941482918720:
26 × 3 × 5 × 7 × 151 × 593 × 137625464293377107
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 151 × 593 × 137625464293377107)See below for interesting mathematical facts about the number 82813227498770941482918720 from the Numbermatics database.
Names of 82813227498770941482918720
- Cardinal: 82813227498770941482918720 can be written as Eighty-two septillion, eight hundred thirteen sextillion, two hundred twenty-seven quintillion, four hundred ninety-eight quadrillion, seven hundred seventy trillion, nine hundred forty-one billion, four hundred eighty-two million, nine hundred eighteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 8.281322749877094148291872 × 1025
Factors of 82813227498770941482918720
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 137625464293377868
Divisors of 82813227498770941482918720
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 151 160 168 192 210 224 240 280 302 320 336 420 448 453 480 560 593 604 672 755 840 906 960 1057 1120 1186 1208 1344 1510 1680 1779 1812 2114 2240 2265 2372 2416 2965 3020 3171 3360 3558 3624 4151 4228 4530 4744 4832 5285 5930 6040 6342 6720 7116 7248 8302 8456 8895 9060 9488 9664 10570 11860 12080 12453 12684 14232 14496 15855 16604 16912 17790 18120 18976 20755 21140 23720 24160 24906 25368 28464 28992 31710 33208 33824 35580 36240 37952 41510 42280 47440 48320 49812 50736 56928 62265 63420 66416 67648 71160 72480 83020 84560 89543 94880 99624 101472 113856 124530 126840 132832 142320 144960 166040 169120 179086 189760 199248 202944 249060 253680 265664 268629 284640 332080 338240 358172 398496 447715 498120 507360 537258 569280 626801 664160 716344 796992 895430 996240 1014720 1074516 1253602 1328320 1343145 1432688 1790860 1880403 1992480 2149032 2507204 2686290 2865376 3134005 3581720 3760806 3984960 4298064 5014408 5372580 5730752 6268010 7163440 7521612 8596128 9402015 10028816 10745160 12536020 14326880 15043224 17192256 18804030 20057632 21490320 25072040 28653760 30086448 37608060 40115264 42980640 50144080 60172896 75216120 85961280 100288160 120345792 150432240 200576320 300864480 601728960 137625464293377107 275250928586754214 412876392880131321 550501857173508428 688127321466885535 825752785760262642 963378250053639749 1101003714347016856 1376254642933771070 1651505571520525284 1926756500107279498 2064381964400656605 2202007428694033712 2752509285867542140 2890134750160919247 3303011143041050568 3853513000214558996 4128763928801313210 4404014857388067424 4816891250268198745 5505018571735084280 5780269500321838494 6606022286082101136 7707026000429117992 8257527857602626420 8808029714776134848 9633782500536397490 11010037143470168560 11560539000643676988 13212044572164202272 14450673750804596235 15414052000858235984 16515055715205252840 19267565001072794980 20781445108299943157 22020074286940337120 23121078001287353976 26424089144328404544 28901347501609192470 30828104001716471968 33030111430410505680 38535130002145589960 41562890216599886314 44040148573880674240 46242156002574707952 57802695003218384940 61656208003432943936 62344335324899829471 66060222860821011360 77070260004291179920 81611900325972624451 83125780433199772628 92484312005149415904 103907225541499715785 115605390006436769880 124688670649799658942 132120445721642022720 145470115758099602099 154140520008582359840 163223800651945248902 166251560866399545256 184968624010298831808 207814451082999431570 231210780012873539760 244835700977917873353 249377341299599317884 290940231516199204198 308281040017164719680 311721676624499147355 326447601303890497804 332503121732799090512 408059501629863122255 415628902165998863140 436410347274298806297 462421560025747079520 489671401955835746706 498754682599198635768 571283302281808371157 581880463032398408396 623443353248998294710 652895202607780995608 665006243465598181024 727350578790498010495 816119003259726244510 831257804331997726280 872820694548597612594 924843120051494159040 979342803911671493412 997509365198397271536 1142566604563616742314 1163760926064796816792 1224178504889589366765 1246886706497996589420 1305790405215561991216 1330012486931196362048 1454701157580996020990 1632238006519452489020 1662515608663995452560 1713849906845425113471 1745641389097195225188 1958685607823342986824 1995018730396794543072 2182051736371494031485 2285133209127233484628 2327521852129593633584 2448357009779178733530 2493773412995993178840 2611580810431123982432 2856416511409041855785 2909402315161992041980 3264476013038904978040 3325031217327990905120 3427699813690850226942 3491282778194390450376 3917371215646685973648 3990037460793589086144 4364103472742988062970 4570266418254466969256 4655043704259187267168 4896714019558357467060 4987546825991986357680 5223161620862247964864 5712833022818083711570 5818804630323984083960 6528952026077809956080 6650062434655981810240 6855399627381700453884 6982565556388780900752 7834742431293371947296 8569249534227125567355 8728206945485976125940 9140532836508933938512 9310087408518374534336 9793428039116714934120 9975093651983972715360 11425666045636167423140 11637609260647968167920 12323396949221866292101 13057904052155619912160 13710799254763400907768 13965131112777561801504 15669484862586743894592 17138499068454251134710 17456413890971952251880 18281065673017867877024 19586856078233429868240 19950187303967945430720 22851332091272334846280 23275218521295936335840 24646793898443732584202 26115808104311239824320 27421598509526801815536 27930262225555123603008 34276998136908502269420 34912827781943904503760 36562131346035735754048 36970190847665598876303 39173712156466859736480 45702664182544669692560 46550437042591872671680 49293587796887465168404 54843197019053603631072 61616984746109331460505 68553996273817004538840 69825655563887809007520 73940381695331197752606 78347424312933719472960 86263778644553064044707 91405328365089339385120 98587175593774930336808 109686394038107207262144 123233969492218662921010 137107992547634009077680 139651311127775618015040 147880763390662395505212 172527557289106128089414 182810656730178678770240 184850954238327994381515 197174351187549860673616 246467938984437325842020 258791335933659192134121 274215985095268018155360 295761526781324791010424 345055114578212256178828 369701908476655988763030 394348702375099721347232 431318893222765320223535 492935877968874651684040 517582671867318384268242 548431970190536036310720 591523053562649582020848 690110229156424512357656 739403816953311977526060 788697404750199442694464 862637786445530640447070 985871755937749303368080 1035165343734636768536484 1183046107125299164041696 1293956679668295960670605 1380220458312849024715312 1478807633906623955052120 1725275572891061280894140 1971743511875498606736160 2070330687469273537072968 2366092214250598328083392 2587913359336591921341210 2760440916625698049430624 2957615267813247910104240 3450551145782122561788280 3943487023750997213472320 4140661374938547074145936 5175826718673183842682420 5520881833251396098861248 5915230535626495820208480 6901102291564245123576560 8281322749877094148291872 10351653437346367685364840 11830461071252991640416960 13802204583128490247153120 16562645499754188296583744 20703306874692735370729680 27604409166256980494306240 41406613749385470741459360 82813227498770941482918720
- Sum of all divisors σ(n): 302993826404216621864103936
- Sum of proper divisors (its aliquot sum) s(n): 220180598905445680381185216
- 82813227498770941482918720 is an abundant number, because the sum of its proper divisors (220180598905445680381185216) is greater than itself. Its abundance is 137367371406674738898266496
Bases of 82813227498770941482918720
- Binary: 1000100100000000110001000001110111010001000000001010110010110010010110001100011010000002
- Hexadecimal: 0x4480620EE88056592C6340
- Base-36: AELFDAQ5GYOA8456O
Squares and roots of 82813227498770941482918720
- 82813227498770941482918720 squared (828132274987709414829187202) is 6858030648763191644829781231576010035041530126438400
- 82813227498770941482918720 cubed (828132274987709414829187203) is 567935652309569862330121014967421548719370197223899224789740622035470286848000
-
The
square root of 82813227498770941482918720 is 9100177333369.4405255927 -
The
cube root of 82813227498770941482918720 is 435879626.6937837575
Scales and comparisons
How big is 82813227498770941482918720?- 82,813,227,498,770,941,482,918,720 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 82,813,227,498,770,941,482,918,720 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 82813227498770941482918720 cubic inches would be around 36323302.2 feet tall.
Recreational maths with 82813227498770941482918720
- 82813227498770941482918720 backwards is 02781928414907789472231828
- The number of decimal digits it has is: 26
- The sum of 82813227498770941482918720's digits is 123
- More coming soon!
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The information we have on file for 82813227498770941482918720 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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