82161225850406400

Names of 82161225850406400

• Cardinal: 82161225850406400 can be written as Eighty-two quadrillion, one hundred sixty-one trillion, two hundred twenty-five billion, eight hundred fifty million, four hundred six thousand, four hundred.

Scientific notation

• Scientific notation: 8.21612258504064 × 10¹⁶

Factors of 82161225850406400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 474

Divisors of 82161225850406400

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 157 160 180 192 200 225 240 256 288 300 307 314 320 360 384 400 450 471 480 512 576 600 614 628 640 720 768 785 800 900 921 942 960 1152 1200 1228 1256 1280 1413 1440 1535 1536 1570 1600 1800 1842 1884 1920 2304 2355 2400 2456 2512 2560 2763 2826 2880 3070 3140 3200 3600 3684 3768 3840 3925 4605 4608 4710 4800 4912 5024 5526 5652 5760 6140 6280 6400 7065 7200 7368 7536 7675 7680 7850 9210 9420 9600 9824 10048 11052 11304 11520 11775 12280 12560 12800 13815 14130 14400 14736 15072 15350 15700 18420 18840 19200 19648 20096 22104 22608 23025 23040 23550 24560 24649 25120 27630 28260 28800 29472 30144 30700 31400 35325 36840 37680 38400 39296 40192 44208 45216 46050 47100 48199 49120 49298 50240 55260 56520 57600 58944 60288 61400 62800 69075 70650 73680 73947 75360 78592 80384 88416 90432 92100 94200 94249 96398 98240 98596 100480 110520 113040 115200 117888 120576 122800 123245 125600 138150 141300 144597 147360 147894 150720 157184 176832 180864 184200 188400 188498 192796 196480 197192 200960 221040 221841 226080 235776 240995 241152 245600 246490 251200 276300 282600 282747 289194 294720 295788 301440 353664 361728 368400 369735 376800 376996 385592 392960 394384 401920 433791 442080 443682 452160 471245 471552 481990 491200 492980 502400 552600 565200 565494 578388 589440 591576 602880 616225 707328 722985 723456 736800 739470 753600 753992 771184 785920 788768 848241 867582 884160 887364 904320 942490 963980 982400 985960 1004800 1105200 1109205 1130400 1130988 1156776 1178880 1183152 1204975 1205760 1232450 1413735 1414656 1445970 1473600 1478940 1507200 1507984 1542368 1577536 1696482 1735164 1768320 1774728 1808640 1848675 1884980 1927960 1964800 1971920 2009600 2168955 2210400 2218410 2260800 2261976 2313552 2356225 2357760 2366304 2409950 2464900 2827470 2891940 2947200 2957880 3014400 3015968 3084736 3155072 3392964 3470328 3536640 3549456 3614925 3617280 3697350 3769960 3855920 3929600 3943840 4241205 4337910 4420800 4436820 4521600 4523952 4627104 4712450 4732608 4819900 4929800 5546025 5654940 5783880 5894400 5915760 6028800 6031936 6169472 6310144 6785928 6940656 7068675 7073280 7098912 7229850 7394700 7539920 7567243 7711840 7887680 8482410 8675820 8841600 8873640 9043200 9047904 9254208 9424900 9465216 9639800 9859600 10844775 11092050 11309880 11567760 11788800 11831520 12063872 12338944 12620288 13571856 13881312 14137350 14197824 14459700 14789400 14797093 15079840 15134486 15423680 15775360 16964820 17351640 17683200 17747280 18086400 18095808 18508416 18849800 18930432 19279600 19719200 21206025 21689550 22184100 22619760 22701729 23135520 23663040 24127744 24677888 27143712 27762624 28274700 28395648 28919400 28934443 29578800 29594186 30159680 30268972 30847360 31550720 33929640 34703280 35366400 35494560 36191616 37016832 37699600 37836215 37860864 38559200 39438400 42412050 43379100 44368200 44391279 45239520 45403458 46271040 47326080 48255488 54287424 55525248 56549400 56791296 57838800 57868886 59157600 59188372 60319360 60537944 61694720 63101440 67859280 68105187 69406560 70989120 72383232 73985465 74033664 75399200 75672430 77118400 78876800 84824100 86758200 86803329 88736400 88782558 90479040 90806916 92542080 94652160 108574848 111050496 113098800 113508645 113582592 115677600 115737772 118315200 118376744 120638720 121075888 123389440 133173837 135718560 136210374 138813120 141978240 144672215 144766464 147970930 150798400 151344860 154236800 157753600 169648200 173516400 173606658 177472800 177565116 180958080 181613832 185084160 189181075 189304320 217149696 221956395 222100992 226197600 227017290 231355200 231475544 236630400 236753488 241277440 242151776 260409987 266347674 271437120 272420748 277626240 283956480 289344430 295941860 301596800 302689720 308473600 315507200 339296400 340525935 347032800 347213316 354945600 355130232 361916160 363227664 369927325 370168320 378362150 434016645 434299392 443912790 452395200 454034580 462710400 462951088 473260800 473506976 484303552 520819974 532695348 542874240 544841496 555252480 567543225 567912960 578688860 591883720 603193600 605379440 616947200 665869185 678592800 681051870 694065600 694426632 709891200 710260464 723361075 723832320 726455328 739854650 756724300 868033290 887825580 904790400 908069160 925420800 925902176 946521600 947013952 968607104 1041639948 1065390696 1085748480 1089682992 1109781975 1110504960 1135086450 1157377720 1183767440 1206387200 1210758880 1302049935 1331738370 1357185600 1362103740 1388131200 1388853264 1419782400 1420520928 1446722150 1452910656 1479709300 1513448600 1702629675 1736066580 1775651160 1809580800 1816138320 1850841600 1851804352 1894027904 1937214208 2083279896 2130781392 2170083225 2171496960 2179365984 2219563950 2270172900 2314755440 2323143601 2367534880 2421517760 2604099870 2663476740 2714371200 2724207480 2776262400 2777706528 2839564800 2841041856 2893444300 2905821312 2959418600 3026897200 3329345925 3405259350 3472133160 3551302320 3619161600 3632276640 3703608704 3788055808 3874428416 4166559792 4261562784 4340166450 4358731968 4439127900 4540345800 4542707551 4629510880 4646287202 4735069760 4843035520 5208199740 5326953480 5428742400 5448414960 5552524800 5555413056 5682083712 5786888600 5811642624 5918837200 6053794400 6510249675 6658691850 6810518700 6944266320 6969430803 7102604640 7264553280 7407217408 7576111616 8333119584 8523125568 8680332900 8717463936 8878255800 9080691600 9085415102 9259021760 9292574404 9470139520 9686071040 10416399480 10653906960 10857484800 10896829920 11110826112 11364167424 11573777200 11615718005 11623285248 11837674400 12107588800 13020499350 13317383700 13621037400 13628122653 13888532640 13938861606 14205209280 14529106560 14814434816 16666239168 17046251136 17360665800 17434927872 17756511600 18161383200 18170830204 18518043520 18585148808 18940279040 19372142080 20832798960 20908292409 21307813920 21793659840 22221652224 22713537755 22728334848 23147554400 23231436010 23675348800 24215177600 26040998700 26634767400 27242074800 27256245306 27777065280 27877723212 28410418560 29058213120 33332478336 34092502272 34721331600 34847154015 34869855744 35513023200 36322766400 36341660408 37036087040 37170297616 37880558080 40884367959 41665597920 41816584818 42615627840 43587319680 44443304448 45427075510 46295108800 46462872020 47350697600 48430355200 52081997400 53269534800 54484149600 54512490612 55554130560 55755446424 56820837120 58078590025 58116426240 66664956672 68140613265 68185004544 69442663200 69694308030 71026046400 72645532800 72683320816 74072174080 74340595232 81768735918 83331195840 83633169636 85231255680 87174639360 90854151020 92590217600 92925744040 94701395200 96860710400 104163994800 104541462045 106539069600 108968299200 109024981224 111108261120 111510892848 113567688775 113641674240 116157180050 133329913344 136281226530 138885326400 139388616060 142052092800 145291065600 145366641632 148681190464 163537471836 166662391680 167266339272 170462511360 174235770075 174349278720 181708302040 185180435200 185851488080 189402790400 204421839795 208327989600 209082924090 213078139200 217936598400 218049962448 222216522240 223021785696 227135377550 232314360100 272562453060 277770652800 278777232120 284104185600 290582131200 290733283264 297362380928 327074943672 333324783360 334532678544 340703066325 340925022720 348471540150 363416604080 370360870400 371702976160 408843679590 416655979200 418165848180 426156278400 435873196800 436099924896 446043571392 454270755100 464628720200 522707310225 545124906120 555541305600 557554464240 568208371200 581466566528 594724761856 654149887344 666649566720 669065357088 681406132650 696943080300 713205085507 726833208160 743405952320 817687359180 833311958400 836331696360 852312556800 871746393600 872199849792 892087142784 908541510200 929257440400 1022109198975 1045414620450 1090249812240 1111082611200 1115108928480 1162933133056 1189449523712 1308299774688 1338130714176 1362812265300 1393886160600 1426410171014 1453666416320 1486811904640 1635374718360 1666623916800 1672663392720 1704625113600 1744399699584 1784174285568 1817083020400 1858514880800 2044218397950 2090829240900 2139615256521 2180499624480 2230217856960 2325866266112 2616599549376 2676261428352 2725624530600 2787772321200 2852820342028 2907332832640 2973623809280 3270749436720 3333247833600 3345326785440 3488799399168 3566025427535 3568348571136 3634166040800 3717029761600 4088436795900 4181658481800 4279230513042 4360999248960 4460435713920 5233199098752 5352522856704 5451249061200 5575544642400 5705640684056 5814665665280 5947247618560 6418845769563 6541498873440 6690653570880 6977598798336 7132050855070 7268332081600 7434059523200 8176873591800 8363316963600 8558461026084 8721998497920 8920871427840 10466398197504 10698076282605 10705045713408 10902498122400 11151089284800 11411281368112 11629331330560 12837691539126 13082997746880 13381307141760 14264101710140 14536664163200 14868119046400 16353747183600 16726633927200 17116922052168 17443996995840 17830127137675 17841742855680 20932796395008 21396152565210 21804996244800 22302178569600 22822562736224 25675383078252 26165995493760 26762614283520 28528203420280 29073328326400 29736238092800 32094228847815 32707494367200 33453267854400 34233844104336 34887993991680 35660254275350 42792305130420 43609992489600 44604357139200 45645125472448 51350766156504 52331990987520 53490381413025 53525228567040 57056406840560 58146656652800 64188457695630 65414988734400 66906535708800 68467688208672 71320508550700 85584610260840 87219984979200 89208714278400 91290250944896 102701532313008 104663981975040 106980762826050 114112813681120 128376915391260 130829977468800 133813071417600 136935376417344 142641017101400 160471144239075 171169220521680 174439969958400 182580501889792 205403064626016 213961525652100 228225627362240 256753830782520 261659954937600 267626142835200 273870752834688 285282034202800 320942288478150 342338441043360 365161003779584 410806129252032 427923051304200 456451254724480 513507661565040 523319909875200 547741505669376 570564068405600 641884576956300 684676882086720 821612258504064 855846102608400 912902509448960 1027015323130080 1095483011338752 1141128136811200 1283769153912600 1369353764173440 1643224517008128 1711692205216800 1825805018897920 2054030646260160 2282256273622400 2567538307825200 2738707528346880 3286449034016256 3423384410433600 4108061292520320 4564512547244800 5135076615650400 5477415056693760 6846768820867200 8216122585040640 9129025094489600 10270153231300800 13693537641734400 16432245170081280 20540306462601600 27387075283468800 41080612925203200 82161225850406400
• Sum of all divisors σ(n): 296884142962407000
• Sum of proper divisors (its aliquot sum) s(n): 214722917112000600
• 82161225850406400 is an abundant number, because the sum of its proper divisors (214722917112000600) is greater than itself. Its abundance is 132561691261594200

Bases of 82161225850406400

• Binary: 100100011111001010011001100011001000111111100011000000000₂
• Hexadecimal: 0x123E533191FC600
• Base-36: MGZQ237CE80

Squares and roots of 82161225850406400

• 82161225850406400 squared (82161225850406400²) is 6750467033241488866871045160960000
• 82161225850406400 cubed (82161225850406400³) is 554626646513876814183561865370680555569414144000000
• The square root of 82161225850406400 is 286637795.5720536167
• The cube root of 82161225850406400 is 434732.6949833663

Scales and comparisons

• 82,161,225,850,406,400 seconds is equal to 2,612,472,840 years, 35 weeks, 4 days, 8 hours.
• To count from 1 to 82,161,225,850,406,400 would take you about seven billion, eight hundred thirty-seven million, four hundred eighteen thousand, five hundred twenty-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 82161225850406400 cubic inches would be around 36227.7 feet tall.

Recreational maths with 82161225850406400

• 82161225850406400 backwards is 00460405852216128
• The number of decimal digits it has is: 17
• The sum of 82161225850406400's digits is 54
• More coming soon!