3983968345117851648
3,983,968,345,117,851,648 is an even composite number composed of four prime numbers multiplied together.
What does the number 3983968345117851648 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1152 divisors.
3983968345117851648 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 3983968345117851648:
215 × 35 × 712 × 4633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 71 × 71 × 463 × 463 × 463)See below for interesting mathematical facts about the number 3983968345117851648 from the Numbermatics database.
Names of 3983968345117851648
- Cardinal: 3983968345117851648 can be written as Three quintillion, nine hundred eighty-three quadrillion, nine hundred sixty-eight trillion, three hundred forty-five billion, one hundred seventeen million, eight hundred fifty-one thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 3.983968345117851648 × 1018
Factors of 3983968345117851648
Divisors of 3983968345117851648
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 128 142 144 162 192 213 216 243 256 284 288 324 384 426 432 463 486 512 568 576 639 648 768 852 864 926 972 1024 1136 1152 1278 1296 1389 1536 1704 1728 1852 1917 1944 2048 2272 2304 2556 2592 2778 3072 3408 3456 3704 3834 3888 4096 4167 4544 4608 5041 5112 5184 5556 5751 6144 6816 6912 7408 7668 7776 8192 8334 9088 9216 10082 10224 10368 11112 11502 12288 12501 13632 13824 14816 15123 15336 15552 16384 16668 17253 18176 18432 20164 20448 20736 22224 23004 24576 25002 27264 27648 29632 30246 30672 31104 32768 32873 33336 34506 36352 36864 37503 40328 40896 41472 44448 45369 46008 49152 50004 54528 55296 59264 60492 61344 62208 65746 66672 69012 72704 73728 75006 80656 81792 82944 88896 90738 92016 98304 98619 100008 109056 110592 112509 118528 120984 122688 124416 131492 133344 136107 138024 145408 147456 150012 161312 163584 165888 177792 181476 184032 197238 200016 214369 218112 221184 225018 237056 241968 245376 248832 262984 266688 272214 276048 290816 294912 295857 300024 322624 327168 331776 355584 362952 368064 394476 400032 408321 428738 436224 442368 450036 474112 483936 490752 497664 525968 533376 544428 552096 581632 591714 600048 643107 645248 654336 663552 711168 725904 736128 788952 800064 816642 857476 872448 884736 887571 900072 948224 967872 981504 995328 1051936 1066752 1088856 1104192 1163264 1183428 1200096 1224963 1286214 1290496 1308672 1327104 1422336 1451808 1472256 1577904 1600128 1633284 1714952 1744896 1775142 1800144 1896448 1929321 1935744 1963008 1990656 2103872 2133504 2177712 2208384 2326528 2333983 2366856 2400192 2449926 2572428 2580992 2617344 2654208 2662713 2844672 2903616 2944512 3155808 3200256 3266568 3429904 3489792 3550284 3600288 3792896 3858642 3871488 3926016 3981312 4207744 4267008 4355424 4416768 4667966 4733712 4800384 4899852 5144856 5161984 5234688 5325426 5689344 5787963 5807232 5889024 6311616 6400512 6533136 6859808 6979584 7001949 7100568 7200576 7585792 7717284 7742976 7852032 7962624 7988139 8415488 8534016 8710848 8833536 9335932 9467424 9600768 9799704 10289712 10323968 10469376 10650852 11378688 11575926 11614464 11778048 12623232 12801024 13066272 13719616 14003898 14201136 14401152 15171584 15220199 15434568 15485952 15704064 15976278 16830976 17068032 17363889 17421696 17667072 18671864 18934848 19201536 19599408 20579424 20647936 20938752 21005847 21301704 22757376 23151852 23228928 23556096 25246464 25602048 26132544 27439232 28007796 28402272 28802304 30440398 30869136 30971904 31408128 31952556 33661952 34136064 34727778 34843392 35334144 37343728 37869696 38403072 39198816 41158848 41295872 42011694 42603408 45514752 45660597 46303704 46457856 47112192 50492928 51204096 52091667 52265088 54878464 56015592 56804544 57604608 60880796 61738272 61943808 62816256 63017541 63905112 67323904 68272128 69455556 69686784 70668288 74687456 75739392 76806144 78397632 82317696 82591744 84023388 85206816 91321194 92607408 92915712 94224384 99252847 100985856 102408192 104183334 104530176 109756928 112031184 113609088 115209216 121761592 123476544 123887616 126035082 127810224 134647808 136544256 136981791 138911112 139373568 141336576 149374912 151478784 153612288 156795264 164635392 165183488 168046776 170413632 182642388 185214816 185831424 188448768 189052623 198505694 201971712 204816384 208366668 209060352 219513856 224062368 227218176 230418432 243523184 246953088 247775232 252070164 255620448 269295616 273963582 277822224 278747136 282673152 297758541 298749824 302957568 307224576 313590528 329270784 336093552 340827264 365284776 370429632 371662848 378105246 397011388 403943424 409632768 410945373 416733336 418120704 439027712 448124736 454436352 460836864 487046368 493906176 495550464 504140328 511240896 538591232 547927164 555644448 557494272 565346304 567157869 595517082 597499648 605915136 614449152 627181056 658541568 672187104 681654528 730569552 740859264 743325696 756210492 794022776 807886848 821890746 833466672 836241408 878055424 893275623 896249472 908872704 921673728 974092736 987812352 1008280656 1022481792 1077182464 1080634129 1095854328 1111288896 1114988544 1134315738 1191034164 1194999296 1211830272 1228898304 1232836119 1254362112 1317083136 1344374208 1363309056 1461139104 1481718528 1486651392 1512420984 1588045552 1615773696 1643781492 1666933344 1672482816 1756110848 1786551246 1792498944 1817745408 1843347456 1948185472 1975624704 2016561312 2044963584 2161268258 2191708656 2222577792 2229977088 2268631476 2382068328 2389998592 2423660544 2465672238 2508724224 2634166272 2679826869 2688748416 2726618112 2922278208 2963437056 3024841968 3176091104 3231547392 3241902387 3287562984 3333866688 3344965632 3512221696 3573102492 3584997888 3635490816 3686694912 3698508357 3896370944 3951249408 4033122624 4089927168 4322536516 4383417312 4445155584 4459954176 4537262952 4764136656 4779997184 4847321088 4931344476 5017448448 5268332544 5359653738 5377496832 5453236224 5844556416 5926874112 6049683936 6352182208 6483804774 6575125968 6667733376 6689931264 7024443392 7046952137 7146204984 7169995776 7270981632 7397016714 7792741888 7902498816 8039480607 8066245248 8179854336 8645073032 8766834624 8890311168 9074525904 9528273312 9559994368 9694642176 9725707161 9862688952 10034896896 10536665088 10719307476 10754993664 10906472448 11689112832 11853748224 12099367872 12704364416 12967609548 13150251936 13335466752 13379862528 14093904274 14292409968 14339991552 14541963264 14794033428 15585483776 15804997632 16078961214 16132490496 16359708672 17290146064 17533669248 17780622336 18149051808 19056546624 19119988736 19451414322 19725377904 20069793792 21073330176 21140856411 21438614952 21509987328 21812944896 23378225664 23707496448 24118441821 24198735744 25408728832 25935219096 26300503872 26670933504 28187808548 28584819936 28679983104 29083926528 29177121483 29588066856 31170967552 31609995264 32157922428 32264980992 32719417344 34580292128 35067338496 35561244672 36298103616 38113093248 38239977472 38902828644 39450755808 40139587584 42281712822 42877229904 43019974656 43625889792 46756451328 47414992896 48236883642 48397471488 50817457664 51870438192 52601007744 53341867008 56375617096 57169639872 57359966208 58354242966 59176133712 62341935104 63219990528 63422569233 64315844856 64529961984 65438834688 69160584256 70134676992 71122489344 72596207232 76226186496 76479954944 77805657288 78901511616 84563425644 85754459808 86039949312 87251779584 87531364449 93512902656 94829985792 96473767284 96794942976 101634915328 103740876384 105202015488 106683734016 112751234192 114339279744 114719932416 116708485932 118352267424 124683870208 126845138466 128631689712 129059923968 130877669376 138321168512 140269353984 142244978688 145192414464 152452372992 155611314576 157803023232 169126851288 171508919616 172079898624 175062728898 187025805312 189659971584 190267707699 192947534568 193589885952 203269830656 207481752768 210404030976 213367468032 225502468384 228678559488 229439864832 233416971864 236704534848 249367740416 253690276932 257263379424 258119847936 261755338752 262594093347 276642337024 280538707968 284489957376 290384828928 304904745984 311222629152 315606046464 338253702576 343017839232 344159797248 350125457796 374051610624 380535415398 385895069136 387179771904 406539661312 414963505536 420808061952 426734936064 451004936768 457357118976 466833943728 473409069696 498735480832 500333601727 507380553864 514526758848 516239695872 525188186694 553284674048 561077415936 568979914752 570803123097 580769657856 609809491968 622445258304 631212092928 676507405152 686035678464 688319594496 700250915592 748103221248 761070830796 771790138272 774359543808 813079322624 829927011072 841616123904 853469872128 902009873536 914714237952 933667887456 946818139392 1000667203454 1014761107728 1029053517696 1032479391744 1050376373388 1106569348096 1122154831872 1141606246194 1161539315712 1219618983936 1244890516608 1262424185856 1353014810304 1372071356928 1400501831184 1496206442496 1501000805181 1522141661592 1543580276544 1548719087616 1626158645248 1659854022144 1683232247808 1706939744256 1712409369291 1804019747072 1829428475904 1867335774912 1893636278784 2001334406908 2029522215456 2058107035392 2064958783488 2100752746776 2213138696192 2244309663744 2283212492388 2323078631424 2439237967872 2489781033216 2524848371712 2706029620608 2744142713856 2801003662368 3002001610362 3044283323184 3087160553088 3097438175232 3252317290496 3319708044288 3366464495616 3424818738582 3608039494144 3658856951808 3734671549824 3787272557568 4002668813816 4059044430912 4116214070784 4201505493552 4426277392384 4488619327488 4503002415543 4566424984776 4646157262848 4878475935744 4979562066432 5049696743424 5412059241216 5488285427712 5602007324736 6004003220724 6088566646368 6174321106176 6194876350464 6639416088576 6732928991232 6849637477164 7216078988288 7317713903616 7469343099648 7574545115136 8005337627632 8118088861824 8232428141568 8403010987104 8852554784768 9006004831086 9132849969552 9292314525696 9756951871488 9959124132864 10099393486848 10824118482432 10976570855424 11204014649472 12008006441448 12177133292736 12348642212352 13278832177152 13465857982464 13509007246629 13699274954328 14432157976576 14635427807232 14938686199296 15149090230272 16010675255264 16236177723648 16464856283136 16806021974208 17705109569536 18012009662172 18265699939104 18584629051392 19918248265728 20198786973696 21648236964864 21953141710848 22408029298944 24016012882896 24354266585472 24697284424704 26557664354304 27018014493258 27398549908656 28864315953152 29270855614464 29877372398592 30298180460544 32021350510528 32472355447296 32929712566272 33612043948416 35410219139072 36024019324344 36531399878208 39836496531456 40397573947392 40527021739887 43296473929728 43906283421696 44816058597888 48032025765792 48708533170944 49394568849408 53115328708608 54036028986516 54797099817312 57728631906304 59754744797184 60596360921088 64042701021056 64944710894592 65859425132544 67224087896832 72048038648688 73062799756416 79672993062912 81054043479774 86592947859456 87812566843392 89632117195776 96064051531584 97417066341888 98789137698816 106230657417216 108072057973032 109594199634624 115457263812608 119509489594368 121192721842176 121581065219661 128085402042112 129889421789184 131718850265088 134448175793664 144096077297376 146125599512832 159345986125824 162108086959548 173185895718912 179264234391552 192128103063168 194834132683776 197578275397632 216144115946064 219188399269248 230914527625216 239018979188736 243162130439322 256170804084224 259778843578368 263437700530176 268896351587328 288192154594752 292251199025664 318691972251648 324216173919096 346371791437824 358528468783104 384256206126336 389668265367552 395156550795264 432288231892128 438376798538496 478037958377472 486324260878644 512341608168448 519557687156736 537792703174656 576384309189504 584502398051328 648432347838192 692743582875648 717056937566208 768512412252672 779336530735104 790313101590528 864576463784256 876753597076992 956075916754944 972648521757288 1024683216336896 1039115374313472 1075585406349312 1152768618379008 1169004796102656 1296864695676384 1434113875132416 1537024824505344 1558673061470208 1729152927568512 1753507194153984 1945297043514576 2049366432673792 2078230748626944 2151170812698624 2305537236758016 2338009592205312 2593729391352768 2868227750264832 3074049649010688 3117346122940416 3458305855137024 3507014388307968 3890594087029152 4098732865347584 4302341625397248 4611074473516032 4676019184410624 5187458782705536 6148099298021376 6234692245880832 6916611710274048 7014028776615936 7781188174058304 8197465730695168 8604683250794496 9222148947032064 9352038368821248 10374917565411072 12296198596042752 13833223420548096 14028057553231872 15562376348116608 16394931461390336 18444297894064128 18704076737642496 20749835130822144 24592397192085504 27666446841096192 28056115106463744 31124752696233216 36888595788128256 41499670261644288 49184794384171008 55332893682192384 56112230212927488 62249505392466432 73777191576256512 82999340523288576 110665787364384768 124499010784932864 147554383152513024 165998681046577152 221331574728769536 248998021569865728 331997362093154304 442663149457539072 497996043139731456 663994724186308608 995992086279462912 1327989448372617216 1991984172558925824 3983968345117851648
- Sum of all divisors σ(n): 12132001871878761600
- Sum of proper divisors (its aliquot sum) s(n): 8148033526760909952
- 3983968345117851648 is an abundant number, because the sum of its proper divisors (8148033526760909952) is greater than itself. Its abundance is 4164065181643058304
Bases of 3983968345117851648
- Binary: 110111010010011110011000011010000101110010011010000000000000002
- Hexadecimal: 0x3749E61A17268000
- Base-36: U9NQWVESQO00
Squares and roots of 3983968345117851648
- 3983968345117851648 squared (39839683451178516482) is 15872003774901073495090054130936315904
- 3983968345117851648 cubed (39839683451178516483) is 63233560612796924112891601130352250560196111492335009792
-
The
square root of 3983968345117851648 is 1995988062.3685732975 -
The
cube root of 3983968345117851648 is 1585277.4902669217
Scales and comparisons
How big is 3983968345117851648?- 3,983,968,345,117,851,648 seconds is equal to 126,677,870,151 years, 28 weeks, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 3,983,968,345,117,851,648 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 3983968345117851648 cubic inches would be around 132106.5 feet tall.
Recreational maths with 3983968345117851648
- 3983968345117851648 backwards is 8461587115438693893
- The number of decimal digits it has is: 19
- The sum of 3983968345117851648's digits is 99
- More coming soon!
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"Number 3983968345117851648 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 3983968345117851648 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/3983968345117851648/
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Numbermatics. 2024. "Number 3983968345117851648 - Facts about the integer". https://numbermatics.com/n/3983968345117851648/
The information we have on file for 3983968345117851648 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!
Keywords: Divisors of 3983968345117851648, math, Factors of 3983968345117851648, curriculum, school, college, exams, university, Prime factorization of 3983968345117851648, STEM, science, technology, engineering, physics, economics, calculator, three quintillion, nine hundred eighty-three quadrillion, nine hundred sixty-eight trillion, three hundred forty-five billion, one hundred seventeen million, eight hundred fifty-one thousand, six hundred forty-eight.