83942428313124864

Names of 83942428313124864

• Cardinal: 83942428313124864 can be written as Eighty-three quadrillion, nine hundred forty-two trillion, four hundred twenty-eight billion, three hundred thirteen million, one hundred twenty-four thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 8.3942428313124864 × 10¹⁶

Factors of 83942428313124864

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 763

Divisors of 83942428313124864

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 751 756 768 864 896 1008 1024 1152 1344 1502 1512 1536 1728 1792 2016 2048 2253 2304 2688 3004 3024 3072 3456 3584 4032 4096 4506 4608 5257 5376 6008 6048 6144 6759 6912 7168 8064 8192 9012 9216 10514 10752 12016 12096 12288 13518 13824 14336 15771 16128 16384 18024 18432 20277 21028 21504 24032 24192 24576 27036 27648 28672 31542 32256 32768 36048 36864 40554 42056 43008 47313 48064 48384 49152 54072 55296 57344 63084 64512 65536 72096 73728 81108 84112 86016 94626 96128 96768 98304 108144 110592 114688 126168 129024 131072 141939 144192 147456 162216 168224 172032 189252 192256 193536 196608 216288 221184 229376 252336 258048 262144 283878 288384 294912 324432 336448 344064 378504 384512 387072 393216 432576 442368 458752 504672 516096 524288 564001 567756 576768 589824 648864 672896 688128 757008 769024 774144 786432 865152 884736 917504 1009344 1032192 1048576 1128002 1135512 1153536 1179648 1297728 1345792 1376256 1514016 1538048 1548288 1572864 1692003 1730304 1769472 1835008 2018688 2064384 2256004 2271024 2307072 2359296 2595456 2691584 2752512 3028032 3076096 3096576 3145728 3384006 3460608 3538944 3670016 3948007 4037376 4128768 4512008 4542048 4614144 4718592 5076009 5190912 5383168 5505024 6056064 6152192 6193152 6768012 6921216 7077888 7340032 7896014 8074752 8257536 9024016 9084096 9228288 9437184 10152018 10381824 10766336 11010048 11844021 12112128 12304384 12386304 13536024 13842432 14155776 15228027 15792028 16149504 16515072 18048032 18168192 18456576 20304036 20763648 21532672 22020096 23688042 24224256 24608768 24772608 27072048 27684864 28311552 30456054 31584056 32299008 33030144 35532063 36096064 36336384 36913152 40608072 41527296 43065344 47376084 48448512 49217536 49545216 54144096 55369728 60912108 63168112 64598016 66060288 71064126 72192128 72672768 73826304 81216144 83054592 86130688 94752168 96897024 98435072 99090432 106596189 108288192 110739456 121824216 126336224 129196032 142128252 144384256 145345536 147652608 162432288 166109184 172261376 189504336 193794048 196870144 198180864 213192378 216576384 221478912 243648432 252672448 258392064 284256504 288768512 290691072 295305216 324864576 332218368 344522752 379008672 387588096 393740288 423564751 426384756 433152768 442957824 487296864 505344896 516784128 568513008 577537024 581382144 590610432 649729152 664436736 689045504 758017344 775176192 787480576 847129502 852769512 866305536 885915648 974593728 1010689792 1033568256 1137026016 1155074048 1162764288 1181220864 1270694253 1299458304 1328873472 1378091008 1516034688 1550352384 1694259004 1705539024 1732611072 1771831296 1949187456 2021379584 2067136512 2274052032 2310148096 2325528576 2362441728 2541388506 2598916608 2657746944 2756182016 2964953257 3032069376 3100704768 3388518008 3411078048 3465222144 3543662592 3812082759 3898374912 4042759168 4134273024 4548104064 4620296192 4651057152 5082777012 5197833216 5315493888 5512364032 5929906514 6064138752 6201409536 6777036016 6822156096 6930444288 7087325184 7624165518 7796749824 8085518336 8268546048 8894859771 9096208128 9240592384 9302114304 10165554024 10395666432 10630987776 11436248277 11859813028 12128277504 12402819072 13554072032 13644312192 13860888576 15248331036 15593499648 16171036672 16537092096 17789719542 18192416256 18481184768 18604228608 20331108048 20791332864 21261975552 22872496554 23719626056 24256555008 24805638144 26684579313 27108144064 27288624384 27721777152 30496662072 31186999296 32342073344 35579439084 36384832512 36962369536 37208457216 40662216096 41582665728 45744993108 47439252112 48513110016 49611276288 53369158626 54216288128 54577248768 55443554304 60993324144 62373998592 64684146688 71158878168 72769665024 73924739072 74416914432 80053737939 81324432192 83165331456 91489986216 94878504224 97026220032 106738317252 108432576256 109154497536 110887108608 121986648288 124747997184 129368293376 142317756336 145539330048 147849478144 148833828864 160107475878 162648864384 166330662912 182979972432 189757008448 194052440064 213476634504 216865152512 218308995072 221774217216 243973296576 249495994368 258736586752 284635512672 291078660096 295698956288 320214951756 325297728768 332661325824 365959944864 379514016896 388104880128 426953269008 433730305024 436617990144 443548434432 487946593152 498991988736 517473173504 569271025344 582157320192 591397912576 640429903512 650595457536 665322651648 731919889728 759028033792 776209760256 853906538016 867460610048 873235980288 887096868864 975893186304 997983977472 1034946347008 1138542050688 1164314640384 1280859807024 1301190915072 1330645303296 1463839779456 1518056067584 1552419520512 1707813076032 1734921220096 1746471960576 1774193737728 1951786372608 1995967954944 2069892694016 2277084101376 2328629280768 2561719614048 2602381830144 2661290606592 2927679558912 3036112135168 3104839041024 3415626152064 3469842440192 3492943921152 3903572745216 3991935909888 4139785388032 4554168202752 4657258561536 5123439228096 5204763660288 5322581213184 5855359117824 6072224270336 6209678082048 6831252304128 6939684880384 6985887842304 7807145490432 7983871819776 9108336405504 9314517123072 10246878456192 10409527320576 11710718235648 12144448540672 12419356164096 13662504608256 13879369760768 13971775684608 15614290980864 15967743639552 18216672811008 18629034246144 20493756912384 20819054641152 23421436471296 24288897081344 27325009216512 27758739521536 27943551369216 31228581961728 36433345622016 37258068492288 40987513824768 41638109282304 46842872942592 48577794162688 54650018433024 55517479043072 55887102738432 62457163923456 72866691244032 81975027649536 83276218564608 93685745885184 97155588325376 109300036866048 111034958086144 111774205476864 124914327846912 145733382488064 163950055299072 166552437129216 187371491770368 194311176650752 218600073732096 222069916172288 249828655693824 291466764976128 327900110598144 333104874258432 374742983540736 388622353301504 437200147464192 444139832344576 499657311387648 582933529952256 655800221196288 666209748516864 749485967081472 777244706603008 874400294928384 999314622775296 1165867059904512 1311600442392576 1332419497033728 1498971934162944 1554489413206016 1748800589856768 1998629245550592 2331734119809024 2623200884785152 2997943868325888 3108978826412032 3497601179713536 3997258491101184 4663468239618048 5246401769570304 5995887736651776 6995202359427072 9326936479236096 10492803539140608 11991775473303552 13990404718854144 20985607078281216 27980809437708288 41971214156562432 83942428313124864
• Sum of all divisors σ(n): 284628356301793280
• Sum of proper divisors (its aliquot sum) s(n): 200685927988668416
• 83942428313124864 is an abundant number, because the sum of its proper divisors (200685927988668416) is greater than itself. Its abundance is 116743499675543552

Bases of 83942428313124864

• Binary: 100101010001110010011000110011101001100000000000000000000₂
• Hexadecimal: 0x12A39319D300000
• Base-36: MYJ3V7CD1C0

Squares and roots of 83942428313124864

• 83942428313124864 squared (83942428313124864²) is 7046331271104106800706764455018496
• 83942428313124864 cubed (83942428313124864³) is 591486157595186486586058496191130063005988677484544
• The square root of 83942428313124864 is 289728197.3041713867
• The cube root of 83942428313124864 is 437851.8370326955

Scales and comparisons

• 83,942,428,313,124,864 seconds is equal to 2,669,109,569 years, 19 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 83,942,428,313,124,864 would take you about eight billion, seven million, three hundred twenty-eight thousand, seven hundred 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 83942428313124864 cubic inches would be around 36487.7 feet tall.

Recreational maths with 83942428313124864

• 83942428313124864 backwards is 46842131382424938
• 83942428313124864 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 83942428313124864's digits is 72
• More coming soon!