42323822144875238968
42,323,822,144,875,238,968 is an even composite number composed of six prime numbers multiplied together.
What does the number 42323822144875238968 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
42323822144875238968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42323822144875238968:
23 × 73 × 113 × 132 × 41 × 11873
(2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 11 × 13 × 13 × 41 × 1187 × 1187 × 1187)See below for interesting mathematical facts about the number 42323822144875238968 from the Numbermatics database.
Names of 42323822144875238968
- Cardinal: 42323822144875238968 can be written as Forty-two quintillion, three hundred twenty-three quadrillion, eight hundred twenty-two trillion, one hundred forty-four billion, eight hundred seventy-five million, two hundred thirty-eight thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2323822144875238968 × 1019
Factors of 42323822144875238968
Divisors of 42323822144875238968
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 7 8 11 13 14 22 26 28 41 44 49 52 56 77 82 88 91 98 104 121 143 154 164 169 182 196 242 286 287 308 328 338 343 364 392 451 484 533 539 572 574 616 637 676 686 728 847 902 968 1001 1066 1078 1144 1148 1183 1187 1274 1331 1352 1372 1573 1694 1804 1859 2002 2009 2132 2156 2296 2366 2374 2548 2662 2744 3146 3157 3388 3608 3718 3731 3773 4004 4018 4264 4312 4459 4732 4748 4961 5096 5324 5863 5929 6292 6314 6776 6929 7007 7436 7462 7546 8008 8036 8281 8309 8918 9317 9464 9496 9922 10648 11011 11726 11858 12584 12628 13013 13057 13858 14014 14063 14872 14924 15092 15431 16072 16562 16618 17303 17836 18634 19844 20449 22022 22099 23452 23716 25256 26026 26114 26117 27716 28028 28126 29848 30184 30862 33124 33236 34606 34727 35672 37268 39688 40898 41041 41503 44044 44198 46904 47432 48503 48667 49049 52052 52228 52234 54571 55432 56056 56252 57967 58163 61724 64493 65219 66248 66472 69212 69454 74536 76219 77077 81796 82082 83006 88088 88396 91091 91399 97006 97334 98098 104104 104456 104468 108017 109142 112504 115934 116326 121121 123448 128986 130438 138424 138908 143143 143627 152438 154154 154693 163592 164164 166012 169741 176792 182182 182798 182819 194012 194668 196196 200603 208936 216034 218284 224939 231868 232652 242242 243089 257972 260876 277816 286286 287254 287287 304876 308308 309386 328328 332024 339482 339521 340669 364364 365596 365638 381997 388024 389336 392392 401206 407141 432068 436568 449878 451451 456533 463736 465304 484484 486178 515944 521752 533533 535337 539539 572572 574508 574574 609752 616616 618772 632671 637637 639793 678964 679042 681338 709423 728728 731192 731276 756119 763994 802412 814282 838409 847847 864136 899756 902902 913066 968968 972356 1002001 1005389 1067066 1070674 1079078 1145144 1149016 1149148 1188187 1237544 1265342 1275274 1279586 1357928 1358084 1362676 1404221 1408969 1418846 1462552 1512238 1527988 1574573 1579897 1604824 1628564 1676818 1695694 1701623 1799512 1805804 1826132 1867151 1944712 2004002 2010778 2011009 2134132 2141348 2158156 2206633 2298296 2376374 2376647 2384683 2530684 2550548 2559172 2673979 2716168 2725352 2808442 2817938 2837692 3024476 3055976 3149146 3159794 3160157 3257128 3353636 3391388 3403246 3611608 3652264 3734302 3734731 3747359 4008004 4021556 4022018 4268264 4282696 4316312 4413266 4428697 4478551 4752748 4753294 4769366 4965961 5061368 5101096 5118344 5292833 5347958 5616884 5635876 5675384 5868863 5888707 5934929 6048952 6298292 6319588 6320314 6707272 6782776 6806492 6959381 7014007 7037723 7468604 7469462 7494718 8016008 8043112 8044036 8224723 8317309 8826532 8857394 8957102 9222499 9505496 9506588 9538732 9829547 9862783 9931922 10585666 10695916 11022011 11059279 11233768 11271752 11737726 11777414 11869858 12596584 12639176 12640628 13070057 13612984 13918762 14028014 14075446 14937208 14938924 14989436 15446431 15498659 16088072 16449446 16634618 16692781 17653064 17714788 17914204 18316597 18444998 18717853 19013176 19077464 19659094 19725566 19863844 20538661 21171332 21391832 22044022 22118558 22121099 23475452 23554828 23739716 24272963 25281256 26140114 26143117 26231513 27837524 28056028 28150892 29877848 29978872 30892862 30997318 31000879 32898892 33269236 33385562 34761727 35429576 35828408 36633194 36889996 37435706 39318188 39451132 39727688 41077322 41082041 41220949 42342664 44088044 44237116 44242198 46950904 47109656 47479432 48545926 48715667 49264061 52280228 52286234 52463026 55675048 56112056 56301784 57573061 57767729 58221163 61785724 61994636 62001758 64557493 64775777 65797784 66538472 66771124 68806829 69039481 69523454 73266388 73779992 74871412 76553191 77154077 77414953 78636376 78902264 82154644 82164082 82441898 88176088 88474232 88484396 90471953 91490399 97091852 97431334 98528122 104560456 104572468 104926052 108125017 108490613 115146122 115535458 116442326 123571448 123989272 124003516 128216179 129114986 129551554 133542248 137613658 138078962 139046908 143770627 146532776 149742824 153106382 154308154 154829906 164309288 164328164 164883796 169910741 170485249 176968792 180943906 182980798 183620591 194183704 194862668 197056244 201482567 209144936 209852104 216250034 216981226 217006153 230292244 231070916 232884652 238115761 243332089 248007032 256432358 258229972 259103108 267002593 275227316 276157924 278093816 287541254 287574287 288546643 306212764 308616308 309659812 328656328 329767592 339821482 340970498 341009669 361887812 365961596 367241182 389725336 394112488 402965134 403011427 404374103 432500068 433962452 434012306 451902451 453430439 460584488 462141832 465769304 476231522 483276367 486664178 512864716 516459944 518206216 534005186 535872337 541904671 550454632 552315848 575082508 575148574 577093286 612425528 617232616 619319624 633303671 635445019 640432793 679642964 681940996 682019338 723775624 731923192 734482364 750980477 756875119 759434291 805930268 806022854 808748206 842085101 865000136 867924904 868024612 897513253 903804902 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1913498255396 1919968241044 1978503858149 1999110029774 2060690428888 2130696462622 2145632837348 2152887724372 2218524545237 2226025896193 2261147266456 2294596190516 2310681517144 2362584580642 2389180279486 2397534056687 2535456623128 2544321856076 2572963377908 2630757877319 2730805429352 2740038921928 2823576693938 2833123867882 2833449339721 3006925829908 3017092950212 3040774901164 3109077491377 3238227816824 3348237298406 3348621946943 3359944421827 3565655304796 3593643065012 3605794013668 3754857465359 3767553517651 3826996510792 3839936482088 3957007716298 3998220059548 4261392925244 4291265674696 4305775448744 4437049090474 4452051792386 4452563248133 4589192381032 4725169161284 4778360558972 4795068113374 5088643712152 5145926755816 5261515754638 5262120202339 5279912662871 5647153387876 5666247735764 5666898679442 6013851659816 6034185900424 6081549802328 6218154982754 6239896783393 6310139523919 6696474596812 6697243893886 6719888843654 6996885104209 7131310609592 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26879555374616 27699054014086 27987540416836 28938336650509 29829750476708 30038859722872 30140428141208 31059343633318 31164362546702 31167942736931 33076184128988 33188022452332 33448523912804 34199852405147 35620505985064 36830610282466 36834841416373 36959388640097 39222208352756 39530073715132 39663734150348 42096961618712 42239301302968 43527084879278 43679277483751 46353518962348 46875322177684 47039221905578 48978195729463 49919174267144 50481116191352 51976860774124 52745749247114 55398108028172 55975080833672 57876673301018 57883322225729 58079039291581 59659500953416 62118687266636 62328725093404 62335885473862 66152368257976 66376044904664 66897047825608 68399704810294 68638864617323 69411534763109 73661220564932 73669682832746 73918777280194 78444416705512 79060147430264 79327468300696 81118658184109 82031813810947 87054169758556 87358554967502 90959506354717 91267061743913 92707037924696 93750644355368 94078443811156 96946689049301 97956391458926 103953721548248 105491498494228 107861072970079 108707702716613 109075268913457 110796216056344 115753346602036 115766644451458 116158078583162 124237374533272 124657450186808 124671770947724 127472177146457 128907135988631 136799409620588 137277729234646 138823069526218 147322441129864 147339365665492 147837554560388 152344797077473 162237316368218 164063627621894 174108339517112 174717109935004 181919012709434 182534123487826 188156887622312 193893378098602 195912782917852 202568356553563 210982996988456 215722145940158 217415405433226 218150537826914 231506693204072 231533288902916 232316157166324 239398966836029 249343541895448 254944354292914 257814271977262 258715720480679 273598819241176 274555458469292 277646139052436 294678731330984 295675109120776 304689594154946 305754942386257 324474632736436 328127255243788 342847370106241 349434219870008 363838025418868 365068246975652 376198376456617 387786756197204 391825565835704 405136713107126 405183255580103 406553275041067 431444291880316 434830810866452 436301075653828 463066577805832 464632314332648 478797933672058 480472052321261 509888708585828 515628543954524 517431440961358 549110916938584 555292278104872 567830607288763 609379188309892 611509884772514 636716544483019 638869432207391 648949265472872 656254510487576 685694740212482 727676050837736 730136493951304 752396752913234 755027510790553 763526882394199 775573512394408 810273426214252 810366511160206 813106550082134 862888583760632 869661621732904 872602151307656 892305240025199 902349951920417 957595867344116 960944104642522 1019777417171656 1031257087909048 1034862881922716 1066413579542311 1135661214577526 1186471802670869 1218758376619784 1223019769545028 1273433088966038 1277738864414782 1371389480424964 1402193948611027 1417978495874941 1504793505826468 1510055021581106 1527053764788398 1620546852428504 1620733022320412 1626213100164268 1675792767852203 1784610480050398 1804699903840834 1915191734688232 1921888209285044 2069725763845432 2132827159084622 2271322429155052 2372943605341738 2446039539090056 2546866177932076 2555477728829564 2633388635196319 2742778960849928 2804387897222054 2835956991749882 2845872925287469 3009587011652936 3020110043162212 3054107529576796 3241466044640824 3252426200328536 3351585535704406 3363304366248827 3569220960100796 3609399807681668 3843776418570088 3974814251021341 4265654318169244 4457015811381133 4472086025451737 4542644858310104 4745887210683476 5093732355864152 5110955457659128 5266777270392638 5285192575533871 5608775794444108 5671913983499764 5691745850574938 6040220086324424 6108215059153592 6246136680176393 6703171071408812 6726608732497654 7138441920201592 7218799615363336 7949628502042682 8305302618696083 8531308636338488 8914031622762266 8944172050903474 9491774421366952 9815357640277189 9925849471124587 10533554540785276 10570385151067742 11217551588888216 11343827966999528 11383491701149876 11730549374965421 12492273360352786 13406342142817624 13453217464995308 15424133434721297 15899257004085364 16610605237392166 17828063245524532 17888344101806948 18433720446374233 19630715280554378 19851698942249174 21067109081570552 21140770302135484 22766983402299752 23461098749930842 24984546720705572 26906434929990616 30848266869442594 31304602178162159 31798514008170728 33221210474784332 35656126491049064 35776688203613896 36867440892748466 36996348028737097 39261430561108756 39703397884498348 42281540604270968 43722956761234751 46922197499861684 49969093441411144 58137118330872581 61696533738885188 62609204356324318 66442420949568664 68707503481940323 73734881785496932 73992696057474194 78522861122217512 79406795768996696 87445913522469502 93844394999723368 107968934043049079 116274236661745162 123393067477770376 125218408712648636 129036043124619631 137415006963880646 147469763570993864 147985392114948388 174891827044939004 215937868086098158 232548473323490324 250436817425297272 258072086249239262 274830013927761292 295970784229896776 349783654089878008 406959828316108067 431875736172196316 465096946646980648 480952524373582261 516144172498478524 549660027855522584 755782538301343553 813919656632216134 863751472344392632 961905048747164522 1032288344996957048 1511565076602687106 1627839313264432268 1923810097494329044 3023130153205374212 3255678626528864536 3847620194988658088 5290477768109404871 6046260306410748424 10580955536218809742 21161911072437619484 42323822144875238968
- Sum of all divisors σ(n): 113008443690320640000
- Sum of proper divisors (its aliquot sum) s(n): 70684621545445401032
- 42323822144875238968 is an abundant number, because the sum of its proper divisors (70684621545445401032) is greater than itself. Its abundance is 28360799400570162064
Bases of 42323822144875238968
- Binary: 1001001011010111000110101111111111111000100001100110010110001110002
- Hexadecimal: 0x24B5C6BFFE2199638
- Base-36: 8XK1ASZKY1OVS
Squares and roots of 42323822144875238968
- 42323822144875238968 squared (423238221448752389682) is 1791305920951031673567026258035105705024
- 42323822144875238968 cubed (423238221448752389683) is 75814913205393408630986955948563781708587050876492118175232
-
The
square root of 42323822144875238968 is 6505676148.1705526845 -
The
cube root of 42323822144875238968 is 3484937.2312625931
Scales and comparisons
How big is 42323822144875238968?- 42,323,822,144,875,238,968 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,323,822,144,875,238,968 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 42323822144875238968 cubic inches would be around 290411.4 feet tall.
Recreational maths with 42323822144875238968
- 42323822144875238968 backwards is 86983257844122832324
- 42323822144875238968 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42323822144875238968's digits is 91
- More coming soon!
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MLA style:
"Number 42323822144875238968 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 42323822144875238968 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/42323822144875238968/
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Numbermatics. 2024. "Number 42323822144875238968 - Facts about the integer". https://numbermatics.com/n/42323822144875238968/
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