82228338864000
82,228,338,864,000 is an even composite number composed of seven prime numbers multiplied together.
82228338864000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 82228338864000:
27 × 33 × 53 × 7 × 23 × 307 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 23 × 307 × 3851)See below for interesting mathematical facts about the number 82228338864000 from the Numbermatics database.
Names of 82228338864000
- Cardinal: 82228338864000 can be written as Eighty-two trillion, two hundred twenty-eight billion, three hundred thirty-eight million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 8.2228338864 × 1013
Factors of 82228338864000
Divisors of 82228338864000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 27 28 30 32 35 36 40 42 45 46 48 50 54 56 60 63 64 69 70 72 75 80 84 90 92 96 100 105 108 112 115 120 125 126 128 135 138 140 144 150 160 161 168 175 180 184 189 192 200 207 210 216 224 225 230 240 250 252 270 276 280 288 300 307 315 320 322 336 345 350 360 368 375 378 384 400 414 420 432 448 450 460 480 483 500 504 525 540 552 560 575 576 600 614 621 630 640 644 672 675 690 700 720 736 750 756 800 805 828 840 864 875 896 900 920 921 945 960 966 1000 1008 1035 1050 1080 1104 1120 1125 1150 1152 1200 1228 1242 1260 1288 1344 1350 1380 1400 1440 1449 1472 1500 1512 1535 1575 1600 1610 1656 1680 1725 1728 1750 1800 1840 1842 1890 1920 1932 2000 2016 2070 2100 2149 2160 2208 2240 2250 2300 2400 2415 2456 2484 2520 2576 2625 2688 2700 2760 2763 2800 2875 2880 2898 2944 3000 3024 3070 3105 3150 3200 3220 3312 3360 3375 3450 3456 3500 3600 3680 3684 3780 3851 3864 4000 4025 4032 4140 4200 4298 4320 4347 4416 4480 4500 4600 4605 4725 4800 4830 4912 4968 5040 5152 5175 5250 5400 5520 5526 5600 5750 5760 5796 6000 6048 6140 6210 6300 6440 6447 6624 6720 6750 6900 7000 7061 7200 7245 7360 7368 7560 7675 7702 7728 7875 8000 8050 8064 8280 8289 8400 8596 8625 8640 8694 8832 9000 9200 9210 9450 9600 9660 9824 9936 10080 10304 10350 10500 10745 10800 11040 11052 11200 11500 11553 11592 12000 12075 12096 12280 12420 12600 12880 12894 13248 13440 13500 13800 13815 14000 14122 14400 14490 14720 14736 15120 15350 15404 15456 15525 15750 16000 16100 16560 16578 16800 17192 17250 17280 17388 18000 18400 18420 18900 19255 19320 19341 19648 19872 20125 20160 20608 20700 21000 21183 21490 21600 21735 22080 22104 22400 23000 23025 23106 23184 23625 24000 24150 24192 24560 24840 25200 25760 25788 25875 26496 26957 27000 27600 27630 28000 28244 28800 28980 29472 30240 30700 30808 30912 31050 31500 32200 32235 33120 33156 33600 34384 34500 34659 34776 35305 36000 36225 36800 36840 37800 38375 38510 38640 38682 39296 39744 40250 40320 41400 41445 42000 42366 42980 43200 43470 44160 44208 46000 46050 46212 46368 47250 48000 48300 49120 49427 49680 50400 51520 51576 51750 53725 53914 54000 55200 55260 56000 56488 57765 57960 58023 58944 60375 60480 61400 61616 61824 62100 63000 63549 64400 64470 66240 66312 67200 68768 69000 69075 69318 69552 70610 72000 72450 73600 73680 75600 76750 77020 77280 77364 77625 79488 80500 80871 82800 82890 84000 84732 85960 86400 86940 88416 88573 92000 92100 92424 92736 94500 96275 96600 96705 98240 98854 99360 100800 103040 103152 103500 103977 105915 107450 107828 108000 108675 110400 110520 112000 112976 115125 115530 115920 116046 117888 120750 120960 122800 123232 124200 126000 127098 128800 128940 132480 132624 134785 137536 138000 138150 138636 139104 141220 144000 144900 147360 148281 151200 153500 154040 154560 154728 155250 161000 161175 161742 165600 165780 168000 169464 171920 173295 173880 176525 176832 177146 181125 184000 184200 184848 185472 189000 190647 192550 193200 193410 196480 197708 198720 201600 206304 207000 207225 207954 211830 214900 215656 216000 217350 220800 221040 225952 230250 231060 231840 232092 241500 242613 245600 246464 247135 248400 252000 254196 257600 257880 265248 265719 268625 269570 275072 276000 276300 277272 278208 282440 288825 289800 290115 294720 296562 302400 307000 308080 309120 309456 310500 317745 322000 322350 323484 331200 331560 336000 338928 343840 345375 346590 347760 353050 353664 354292 362250 368000 368400 369696 378000 381294 385100 386400 386820 395416 397440 404355 412608 414000 414450 415908 423660 429800 431312 432000 434700 442080 442865 444843 451904 460500 462120 463680 464184 481375 483000 483525 485226 491200 492928 494270 496800 504000 508392 515200 515760 519885 529575 530496 531438 537250 539140 543375 552000 552600 554544 556416 564880 577650 579600 580230 589440 593124 604800 614000 616160 618912 620011 621000 635490 644000 644700 646968 662400 663120 673925 677856 687680 690750 693180 695520 706100 708584 724500 727839 736800 739392 741405 756000 762588 770200 772800 773640 790832 797157 805875 808710 825216 828000 828900 831816 847320 859600 862624 866475 869400 882625 884160 885730 889686 903808 921000 924240 927360 928368 953235 962750 966000 967050 970452 982400 988540 993600 1008000 1016784 1031520 1036125 1039770 1059150 1060992 1062876 1074500 1078280 1086750 1104000 1105200 1109088 1129760 1155300 1159200 1160460 1182257 1186248 1213065 1228000 1232320 1235675 1237824 1240022 1242000 1270980 1288000 1289400 1293936 1326240 1328595 1334529 1347850 1355712 1375360 1381500 1386360 1391040 1412200 1417168 1444125 1449000 1450575 1455678 1473600 1478784 1482810 1512000 1525176 1540400 1545600 1547280 1581664 1588725 1594314 1611750 1617420 1656000 1657800 1663632 1694640 1719200 1725248 1732950 1738800 1765250 1768320 1771460 1779372 1842000 1848480 1856736 1860033 1906470 1925500 1932000 1934100 1940904 1977080 1987200 2021775 2033568 2063040 2072250 2079540 2118300 2125752 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5802300 5822712 5911285 5931240 6065325 6100704 6161600 6178375 6189120 6200110 6326656 6354900 6377256 6447000 6469680 6631200 6642975 6654528 6672645 6739250 6778560 6876800 6931800 6955200 7061000 7085840 7093542 7117488 7252875 7278390 7368000 7393920 7414050 7426944 7440132 7625880 7702000 7728000 7736400 7763616 7908320 7943625 7971570 8087100 8134272 8275799 8289000 8318160 8473200 8503008 8596000 8626240 8664750 8694000 8841600 8857300 8896860 9242400 9283680 9300165 9458056 9489984 9532350 9565884 9670500 9704520 9885400 9920176 9936000 10108875 10167840 10315200 10351488 10397700 10591500 10628760 10640313 10676232 10782800 11052000 11071625 11090880 11121075 11160198 11297600 11337344 11553000 11592000 11604600 11645424 11822570 11862480 11957355 12130650 12201408 12323200 12356750 12378240 12400220 12709800 12754512 12894000 12939360 12997125 13262400 13285950 13309056 13345290 13478500 13557120 13863600 13910400 14122000 14171680 14187084 14234976 14505750 14556780 14736000 14828100 14880264 15251760 15404000 15472800 15500275 15527232 15816640 15887250 15943140 16174200 16551598 16578000 16636320 16740297 16946400 17006016 17192000 17252480 17329500 17388000 17714600 17733855 17793720 18195975 18484800 18535125 18567360 18600330 18916112 18979968 19064700 19131768 19341000 19409040 19770800 19840352 19928925 20217750 20335680 20630400 20795400 21183000 21257520 21280626 21352464 21565600 22104000 22143250 22181760 22242150 22320396 22595200 23106000 23184000 23209200 23290848 23645140 23724960 23830875 23914710 24261300 24402816 24713500 24800440 24827397 25419600 25509024 25788000 25878720 25994250 26524800 26571900 26690580 26957000 27191911 27727200 27900495 28244000 28343360 28374168 28469952 29011500 29113560 29556425 29656200 29760528 30326625 30503520 30808000 30945600 31000550 31054464 31633280 31774500 31886280 31920939 32348400 33103196 33156000 33214875 33272640 33363225 33480594 33892800 34012032 34384000 34659000 34776000 35429200 35467710 35587440 36391950 36969600 37070250 37134720 37200660 37832224 38129400 38263536 38682000 38818080 39541600 39680704 39857850 40435500 40671360 41378995 41590800 42366000 42515040 42561252 42704928 43131200 44208000 44286500 44484300 44640792 46212000 46418400 46500825 46581696 47290280 47449920 47661750 47829420 48522600 49427000 49600880 49654794 50839200 51018048 51576000 51757440 51988500 53143800 53201565 53381160 53914000 54383822 55454400 55605375 55800990 56488000 56686720 56748336 56939904 58023000 58227120 59112850 59312400 59521056 59786775 60653250 61007040 61616000 61891200 62001100 63549000 63772560 63841878 64696800 66206392 66312000 66429750 66545280 66726450 66961188 67785600 69318000 69552000 70858400 70935420 71174880 72783900 74140500 74401320 74482191 75664448 76258800 76527072 77364000 77501375 77636160 79083200 79361408 79715700 80871000 81575733 82757990 83181600 83701485 84732000 85030080 85122504 85409856 86262400 88573000 88669275 88968600 89281584 90979875 92424000 92836800 93001650 93163392 94580560 94899840 95323500 95658840 97045200 98854000 99201760 99309588 99644625 101678400 102036096 103152000 103977000 106287600 106403130 106762320 107828000 108767644 110908800 111210750 111601980 112976000 113496672 116046000 116454240 118225700 118624800 119042112 119573550 121306500 122014080 124002200 124136985 127098000 127545120 127683756 129393600 132412784 132624000 132859500 133452900 133922376 135959555 138636000 139502475 141716800 141870840 142349760 145567800 147782125 148281000 148802640 148964382 151328896 152517600 153054144 154728000 155002750 155272320 158166400 159431400 159604695 161742000 163151466 165515980 166363200 166816125 167402970 169464000 170060160 170245008 170819712 177146000 177338550 177937200 178563168 181959750 184848000 185673600 186003300 189161120 190343377 190647000 191317680 194090400 197708000 198403520 198619176 199289250 203356800 206894975 207954000 212575200 212806260 213524640 215656000 217535288 222421500 223203960 223446573 226993344 232092000 232504125 232908480 236451400 237249600 238084224 239147100 242613000 244727199 248004400 248273970 254196000 255090240 255367512 258787200 264825568 265719000 266007825 266905800 267844752 271919110 277272000 279004950 283433600 283741680 284699520 291135600 295564250 296562000 297605280 297928764 298933875 305035200 306108288 309456000 310005500 318862800 319209390 323484000 326302932 331031960 332726400 333632250 334805940 338928000 340490016 354292000 354677100 355874400 357126336 363919500 372006600 372410955 378322240 380686754 381294000 382635360 388180800 395416000 396807040 397238352 398578500 407878665 413789950 415908000 418507425 425150400 425612520 427049280 431312000 435070576 443346375 444843000 446407920 446893146 453986688 464184000 465008250 465816960 472902800 474499200 478294200 485226000 489454398 496008800 496547940 508392000 510180480 510735024 529651136 531438000 532015650 533811600 535689504 543838220 554544000 558009900 567483360 571030131 582271200 591128500 593124000 595210560 595857528 597867750 610070400 620011000 620684925 637725600 638418780 646968000 652605864 662063920 667264500 669611880 679797775 680980032 697512375 708584000 709354200 711748800 714252672 727839000 734181597 744013200 744821910 756644480 761373508 762588000 765270720 776361600 790832000 794476704 797157000 798023475 815757330 827579900 831816000 837014850 850300800 851225040 854098560 870141152 886692750 889686000 892815840 893786292 928368000 930016500 945805600 951716885 956588400 970452000 978908796 992017600 993095880 1016784000 1021470048 1034474875 1059302272 1062876000 1064031300 1067623200 1071379008 1087676440 1116019800 1117232865 1134966720 1142060262 1164542400 1182257000 1186248000 1190421120 1191715056 1195735500 1223635995 1240022000 1241369850 1275451200 1276837560 1293936000 1305211728 1324127840 1330039125 1334529000 1339223760 1359595550 1361960064 1395024750 1417168000 1418708400 1423497600 1455678000 1468363194 1488026400 1489643820 1522747016 1525176000 1530541440 1588953408 1594314000 1596046950 1631514660 1655159800 1663632000 1674029700 1702450080 1713090393 1740282304 1773385500 1779372000 1785631680 1787572584 1860033000 1862054775 1891611200 1903433770 1913176800 1940904000 1957817592 1984035200 1986191760 2039393325 2042940096 2068949750 2092537125 2125752000 2128062600 2135246400 2142758016 2175352880 2232039600 2234465730 2269933440 2284120524 2329084800 2364514000 2372496000 2383430112 2391471000 2447271990 2480044000 2482739700 2550902400 2553675120 2610423456 2648255680 2660078250 2669058000 2678447520 2719191100 2790049500 2837416800 2855150655 2911356000 2936726388 2976052800 2979287640 3045494032 3050352000 3103424625 3177906816 3188628000 3192093900 3263029320 3310319600 3348059400 3398988875 3404900160 3426180786 3480564608 3546771000 3558744000 3571263360 3575145168 3670907985 3720066000 3724109550 3783222400 3806867540 3826353600 3881808000 3915635184 3972383520 3990117375 4078786650 4085880192 4137899500 4185074250 4251504000 4256125200 4270492800 4350705760 4464079200 4468931460 4568241048 4729028000 4758584425 4766860224 4782942000 4894543980 4960088000 4965479400 5107350240 5139271179 5220846912 5296511360 5320156500 5338116000 5356895040 5438382200 5580099000 5586164325 5674833600 5710301310 5822712000 5873452776 5952105600 5958575280 6090988064 6118179975 6206849250 6377256000 6384187800 6526058640 6620639200 6696118800 6797977750 6809800320 6852361572 7093542000 7117488000 7150290336 7341815970 7440132000 7448219100 7613735080 7652707200 7831270368 7944767040 7980234750 8157573300 8275799000 8370148500 8512250400 8565451965 8701411520 8928158400 8937862920 9136482096 9310273875 9458056000 9517168850 9533720448 9565884000 9789087960 9920176000 9930958800 10196966625 10214700480 10278542358 10441693824 10640313000 10676232000 10713790080 10876764400 11160198000 11172328650 11349667200 11420602620 11645424000 11746905552 11917150560 12181976128 12236359950 12413698500 12754512000 12768375600 13052117280 13241278400 13392237600 13595955500 13704723144 14187084000 14275753275 14300580672 14683631940 14880264000 14896438200 15227470160 15662540736 15889534080 15960469500 16315146600 16551598000 16740297000 17024500800 17130903930 17402823040 17856316800 17875725840 18272964192 18354539925 18620547750 18916112000 19034337700 19131768000 19578175920 19861917600 20393933250 20429400960 20557084716 21280626000 21352464000 21753528800 22320396000 22344657300 22841205240 23493811104 23792922125 23834301120 24363952256 24472719900 24827397000 25536751200 25696355895 26104234560 26482556800 26784475200 27191911000 27409446288 27930821625 28374168000 28551506550 28601161344 29367263880 29760528000 29792876400 30454940320 30590899875 31325081472 31920939000 32630293200 33103196000 33480594000 34049001600 34261807860 35751451680 36545928384 36709079850 37241095500 38068675400 38263536000 39156351840 39723835200 40787866500 41114169432 42561252000 42827259825 43507057600 44640792000 44689314600 45682410480 46987622208 47585844250 47668602240 48945439800 49654794000 51073502400 51392711790 52208469120 53568950400 54383822000 54818892576 55861643250 56748336000 57103013100 58734527760 59585752800 60909880640 61181799750 63841878000 65260586400 66206392000 66961188000 68523615720 71378766375 71502903360 73091856768 73418159700 74482191000 76137350800 78312703680 79447670400 81575733000 82228338864 85122504000 85654519650 87014115200 89281584000 89378629200 91364820960 91772699625 93975244416 95171688500 97890879600 99309588000 102147004800 102785423580 108767644000 109637785152 111723286500 114206026200 117469055520 119171505600 121819761280 122363599500 127683756000 128481779475 130521172800 132412784000 133922376000 137047231440 142757532750 143005806720 146836319400 148964382000 152274701600 156625407360 163151466000 164456677728 170245008000 171309039300 178757258400 182729641920 183545399250 190343377000 195781759200 198619176000 205570847160 214136299125 217535288000 219275570304 223446573000 228412052400 234938111040 238343011200 244727199000 255367512000 256963558950 261042345600 267844752000 274094462880 285515065500 293672638800 297928764000 304549403200 326302932000 328913355456 342618078600 357514516800 365459283840 367090798500 380686754000 391563518400 397238352000 411141694320 428272598250 435070576000 446893146000 456824104800 469876222080 489454398000 510735024000 513927117900 548188925760 571030131000 587345277600 595857528000 609098806400 642408897375 652605864000 657826710912 685236157200 715029033600 734181597000 761373508000 783127036800 822283388640 856545196500 893786292000 913648209600 978908796000 1027854235800 1096377851520 1142060262000 1174690555200 1191715056000 1284817794750 1305211728000 1370472314400 1468363194000 1522747016000 1644566777280 1713090393000 1787572584000 1827296419200 1957817592000 2055708471600 2284120524000 2349381110400 2569635589500 2740944628800 2936726388000 3045494032000 3289133554560 3426180786000 3575145168000 3915635184000 4111416943200 4568241048000 5139271179000 5481889257600 5873452776000 6852361572000 8222833886400 9136482096000 10278542358000 11746905552000 13704723144000 16445667772800 20557084716000 27409446288000 41114169432000 82228338864000
- Sum of all divisors σ(n): 362462426726400
- Sum of proper divisors (its aliquot sum) s(n): 280234087862400
- 82228338864000 is an abundant number, because the sum of its proper divisors (280234087862400) is greater than itself. Its abundance is 198005748998400
Bases of 82228338864000
- Binary: 100101011001001010001101110110110101111100000002
- Hexadecimal: 0x4AC946EDAF80
- Base-36: T5B6DVXC0
Squares and roots of 82228338864000
- 82228338864000 squared (822283388640002) is 6761499712332812810496000000
- 82228338864000 cubed (822283388640003) is 555986889574541051727745303916544000000000
-
The
square root of 82228338864000 is 9067984.2778866791 -
The
cube root of 82228338864000 is 43485.1032558523
Scales and comparisons
How big is 82228338864000?- 82,228,338,864,000 seconds is equal to 2,614,606 years, 43 weeks.
-
To count from 1 to 82,228,338,864,000 would take you about six million, five hundred thirty-six thousand, five hundred seventeen 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 82228338864000 cubic inches would be around 3623.8 feet tall.
Recreational maths with 82228338864000
- 82228338864000 backwards is 00046883382228
- 82228338864000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 82228338864000's digits is 54
- More coming soon!
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"Number 82228338864000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 82228338864000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/82228338864000/
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The information we have on file for 82228338864000 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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