642213919085273508960
642,213,919,085,273,508,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 642213919085273508960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
642213919085273508960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 642213919085273508960:
25 × 32 × 5 × 7 × 19 × 501223 × 6690130501
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 501223 × 6690130501)See below for interesting mathematical facts about the number 642213919085273508960 from the Numbermatics database.
Names of 642213919085273508960
- Cardinal: 642213919085273508960 can be written as Six hundred forty-two quintillion, two hundred thirteen quadrillion, nine hundred nineteen trillion, eighty-five billion, two hundred seventy-three million, five hundred eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 6.4221391908527350896 × 1020
Factors of 642213919085273508960
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 6690631760
Divisors of 642213919085273508960
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 45 48 56 57 60 63 70 72 76 80 84 90 95 96 105 112 114 120 126 133 140 144 152 160 168 171 180 190 210 224 228 240 252 266 280 285 288 304 315 336 342 360 380 399 420 456 480 504 532 560 570 608 630 665 672 684 720 760 798 840 855 912 1008 1064 1120 1140 1197 1260 1330 1368 1440 1520 1596 1680 1710 1824 1995 2016 2128 2280 2394 2520 2660 2736 3040 3192 3360 3420 3990 4256 4560 4788 5040 5320 5472 5985 6384 6840 7980 9120 9576 10080 10640 11970 12768 13680 15960 19152 21280 23940 27360 31920 38304 47880 63840 95760 191520 501223 1002446 1503669 2004892 2506115 3007338 3508561 4009784 4511007 5012230 6014676 7017122 7518345 8019568 9022014 9523237 10024460 10525683 12029352 14034244 15036690 16039136 17542805 18044028 19046474 20048920 21051366 22555035 24058704 28068488 28569711 30073380 31577049 35085610 36088056 38092948 40097840 42102732 45110070 47616185 48117408 52628415 56136976 57139422 60146760 63154098 66662659 70171220 72176112 76185896 80195680 84205464 85709133 90220140 95232370 105256830 112273952 114278844 120293520 126308196 133325318 140342440 142848555 144352224 152371792 157885245 168410928 171418266 180440280 190464740 199987977 210513660 228557688 240587040 252616392 266650636 280684880 285697110 304743584 315770490 333313295 336821856 342836532 360880560 380929480 399975954 421027320 428545665 457115376 505232784 533301272 561369760 571394220 599963931 631540980 666626590 685673064 721761120 761858960 799951908 842054640 857091330 914230752 999939885 1010465568 1066602544 1142788440 1199927862 1263081960 1333253180 1371346128 1523717920 1599903816 1684109280 1714182660 1999879770 2133205088 2285576880 2399855724 2526163920 2666506360 2742692256 2999819655 3199807632 3428365320 3999759540 4571153760 4799711448 5052327840 5333012720 5999639310 6399615264 6690130501 6856730640 7999519080 9599422896 10666025440 11999278620 13380261002 13713461280 15999038160 19198845792 20070391503 23998557240 26760522004 31998076320 33450652505 40140783006 46830913507 47997114480 53521044008 60211174509 66901305010 80281566012 93661827014 95994228960 100351957515 107042088016 120422349018 127112479519 133802610020 140492740521 160563132024 187323654028 200703915030 214084176032 234154567535 240844698036 254224959038 267605220040 280985481042 301055872545 321126264048 374647308056 381337438557 401407830060 421478221563 468309135070 481689396072 508449918076 535210440080 561970962084 602111745090 635562397595 642252528096 702463702605 749294616112 762674877114 802815660120 842956443126 889787356633 936618270140 963378792144 1016899836152 1070420880160 1123941924168 1144012315671 1204223490180 1271124795190 1404927405210 1498589232224 1525349754228 1605631320240 1685912886252 1779574713266 1873236540280 1906687192785 1926757584288 2033799672304 2107391107815 2247883848336 2288024631342 2408446980360 2542249590380 2669362069899 2809854810420 3050699508456 3211262640480 3371825772504 3559149426532 3746473080560 3813374385570 4067599344608 4214782215630 4448936783165 4495767696672 4576049262684 4816893960720 5084499180760 5338724139798 5619709620840 5720061578355 6101399016912 6743651545008 7118298853064 7492946161120 7626748771140 8008086209697 8429564431260 8897873566330 9152098525368 9633787921440 10168998361520 10677448279596 11239419241680 11440123156710 12202798033824 13346810349495 13487303090016 14236597706128 15253497542280 16016172419394 16859128862520 17795747132660 18304197050736 20337996723040 21354896559192 22478838483360 22880246313420 26693620698990 28473195412256 30506995084560 32032344838788 33718257725040 35591494265320 36608394101472 40040431048485 42709793118384 45760492626840 53387241397980 61013990169120 64064689677576 67436515450080 71182988530640 80080862096970 85419586236768 91520985253680 106774482795960 128129379355152 142365977061280 160161724193940 183041970507360 213548965591920 256258758710304 320323448387880 427097931183840 640646896775760 1281293793551520 3353247280102723 6706494560205446 10059741840308169 13412989120410892 16766236400513615 20119483680616338 23472730960719061 26825978240821784 30179225520924507 33532472801027230 40238967361232676 46945461921438122 50298709201540845 53651956481643568 60358451041849014 63711698321951737 67064945602054460 70418192882157183 80477934722465352 93890923842876244 100597418403081690 107303912963287136 117363654803595305 120716902083698028 127423396643903474 134129891204108920 140836385764314366 150896127604622535 160955869444930704 187781847685752488 191135094965855211 201194836806163380 211254578646471549 234727309607190610 241433804167396056 254846793287806948 268259782408217840 281672771528628732 301792255209245070 318558491609758685 321911738889861408 352090964410785915 375563695371504976 382270189931710422 402389673612326760 422509157292943098 445981888253662159 469454619214381220 482867608334792112 509693586575613896 536519564816435680 563345543057257464 573405284897565633 603584510418490140 637116983219517370 704181928821571830 751127390743009952 764540379863420844 804779347224653520 845018314585886196 891963776507324318 938909238428762440 955675474829276055 965735216669584224 1019387173151227792 1056272893232357745 1126691086114514928 1146810569795131266 1207169020836980280 1274233966439034740 1337945664760986477 1408363857643143660 1529080759726841688 1609558694449307040 1690036629171772392 1783927553014648636 1877818476857524880 1911350949658552110 2038774346302455584 2112545786464715490 2229909441268310795 2253382172229029856 2293621139590262532 2414338041673960560 2548467932878069480 2675891329521972954 2816727715286287320 2867026424487828165 3058161519453683376 3380073258343544784 3567855106029297272 3755636953715049760 3822701899317104220 4013836994282959431 4225091572929430980 4459818882536621590 4587242279180525064 4828676083347921120 5096935865756138960 5351782659043945908 5633455430572574640 5734052848975656330 6116323038907366752 6689728323804932385 6760146516687089568 7135710212058594544 7645403798634208440 8027673988565918862 8450183145858861960 8919637765073243180 9174484558361050128 10193871731512277920 10703565318087891816 11266910861145149280 11468105697951312660 13379456647609864770 14271420424117189088 15290807597268416880 16055347977131837724 16900366291717723920 17839275530146486360 18348969116722100256 20069184971414797155 21407130636175783632 22936211395902625320 26758913295219729540 30581615194536833760 32110695954263675448 33800732583435447840 35678551060292972720 40138369942829594310 42814261272351567264 45872422791805250640 53517826590439459080 64221391908527350896 71357102120585945440 80276739885659188620 91744845583610501280 107035653180878918160 128442783817054701792 160553479771318377240 214071306361757836320 321106959542636754480 642213919085273508960
- Sum of all divisors σ(n): 2636462401950252395520
- Sum of proper divisors (its aliquot sum) s(n): 1994248482864978886560
- 642213919085273508960 is an abundant number, because the sum of its proper divisors (1994248482864978886560) is greater than itself. Its abundance is 1352034563779705377600
Bases of 642213919085273508960
- Binary: 10001011010000100000100010110011010000000110010010111101101100011000002
- Hexadecimal: 0x22D0822CD0192F6C60
- Base-36: 3RJ8NEHTOCG2G0
Squares and roots of 642213919085273508960
- 642213919085273508960 squared (6422139190852735089602) is 412438717866866229759437999810351200281600
- 642213919085273508960 cubed (6422139190852735089603) is 264873885383785578366034234626239756020592700968359772123136000
-
The
square root of 642213919085273508960 is 25341939923.4800789345 -
The
cube root of 642213919085273508960 is 8627664.2907807599
Scales and comparisons
How big is 642213919085273508960?- 642,213,919,085,273,508,960 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 642,213,919,085,273,508,960 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 642213919085273508960 cubic inches would be around 718972 feet tall.
Recreational maths with 642213919085273508960
- 642213919085273508960 backwards is 069805372580919312246
- 642213919085273508960 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 642213919085273508960's digits is 90
- More coming soon!
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The information we have on file for 642213919085273508960 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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