34149925744627121229893760
34,149,925,744,627,121,229,893,760 is an even composite number composed of six prime numbers multiplied together.
What does the number 34149925744627121229893760 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 640 divisors.
34149925744627121229893760 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 34149925744627121229893760:
27 × 34 × 5 × 223 × 491 × 6016423731691273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 223 × 491 × 6016423731691273)See below for interesting mathematical facts about the number 34149925744627121229893760 from the Numbermatics database.
Names of 34149925744627121229893760
- Cardinal: 34149925744627121229893760 can be written as Thirty-four septillion, one hundred forty-nine sextillion, nine hundred twenty-five quintillion, seven hundred forty-four quadrillion, six hundred twenty-seven trillion, one hundred twenty-one billion, two hundred twenty-nine million, eight hundred ninety-three thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 3.414992574462712122989376 × 1025
Factors of 34149925744627121229893760
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 6016423731691997
Divisors of 34149925744627121229893760
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 223 240 270 288 320 324 360 384 405 432 446 480 491 540 576 640 648 669 720 810 864 892 960 982 1080 1115 1152 1296 1338 1440 1473 1620 1728 1784 1920 1964 2007 2160 2230 2455 2592 2676 2880 2946 3240 3345 3456 3568 3928 4014 4320 4419 4460 4910 5184 5352 5760 5892 6021 6480 6690 7136 7365 7856 8028 8640 8838 8920 9820 10035 10368 10704 11784 12042 12960 13257 13380 14272 14730 15712 16056 17280 17676 17840 18063 19640 20070 21408 22095 23568 24084 25920 26514 26760 28544 29460 30105 31424 32112 35352 35680 36126 39280 39771 40140 42816 44190 47136 48168 51840 53028 53520 58920 60210 62848 64224 66285 70704 71360 72252 78560 79542 80280 85632 88380 90315 94272 96336 106056 107040 109493 117840 120420 128448 132570 141408 142720 144504 157120 159084 160560 176760 180630 188544 192672 198855 212112 214080 218986 235680 240840 256896 265140 282816 289008 314240 318168 321120 328479 353520 361260 385344 397710 424224 428160 437972 471360 481680 530280 547465 565632 578016 636336 642240 656958 707040 722520 770688 795420 848448 875944 942720 963360 985437 1060560 1094930 1156032 1272672 1284480 1313916 1414080 1445040 1590840 1642395 1696896 1751888 1926720 1970874 2121120 2189860 2312064 2545344 2627832 2828160 2890080 2956311 3181680 3284790 3503776 3853440 3941748 4242240 4379720 4927185 5090688 5255664 5780160 5912622 6363360 6569580 7007552 7883496 8484480 8759440 8868933 9854370 10511328 11560320 11825244 12726720 13139160 14015104 14781555 15766992 17518880 17737866 19708740 21022656 23650488 25453440 26278320 29563110 31533984 35037760 35475732 39417480 42045312 44344665 47300976 52556640 59126220 63067968 70075520 70951464 78834960 88689330 94601952 105113280 118252440 126135936 141902928 157669920 177378660 189203904 210226560 236504880 283805856 315339840 354757320 378407808 473009760 567611712 630679680 709514640 946019520 1135223424 1419029280 1892039040 2838058560 5676117120 6016423731691273 12032847463382546 18049271195073819 24065694926765092 30082118658456365 36098542390147638 48131389853530184 54147813585221457 60164237316912730 72197084780295276 90246355975369095 96262779707060368 108295627170442914 120328474633825460 144394169560590552 162443440755664371 180492711950738190 192525559414120736 216591254340885828 240656949267650920 270739067926107285 288788339121181104 324886881511328742 360985423901476380 385051118828241472 433182508681771656 481313898535301840 487330322266993113 541478135852214570 577576678242362208 649773763022657484 721970847802952760 770102237656482944 812217203778321855 866365017363543312 962627797070603680 974660644533986226 1082956271704429140 1155153356484724416 1299547526045314968 1341662492167153879 1443941695605905520 1624434407556643710 1732730034727086624 1925255594141207360 1949321289067972452 2165912543408858280 2310306712969448832 2436651611334965565 2599095052090629936 2683324984334307758 2887883391211811040 2954064052260415043 3248868815113287420 3465460069454173248 3850511188282414720 3898642578135944904 4024987476501461637 4331825086817716560 4873303222669931130 5198190104181259872 5366649968668615516 5775766782423622080 5908128104520830086 6497737630226574840 6708312460835769395 6930920138908346496 7797285156271889808 8049974953002923274 8663650173635433120 8862192156781245129 9746606445339862260 10396380208362519744 10733299937337231032 11551533564847244160 11816256209041660172 12074962429504384911 12995475260453149680 13416624921671538790 14770320261302075215 15594570312543779616 16099949906005846548 17327300347270866240 17724384313562490258 19493212890679724520 20124937382507308185 20792760416725039488 21466599874674462064 23632512418083320344 24149924859008769822 25990950520906299360 26586576470343735387 26833249843343077580 29540640522604150430 31189140625087559232 32199899812011693096 34654600694541732480 35448768627124980516 36224887288513154733 38986425781359449040 40249874765014616370 42933199749348924128 44310960783906225645 47265024836166640688 48299849718017539644 51981901041812598720 53173152940687470774 53666499686686155160 59081281045208300860 60374812147521924555 62378281250175118464 64399799624023386192 70897537254249961032 72449774577026309466 77972851562718898080 79759729411031206161 80499749530029232740 85866399498697848256 88621921567812451290 94530049672333281376 96599699436035079288 103963802083625197440 106346305881374941548 107332999373372310320 108674661865539464199 118162562090416601720 120749624295043849110 128799599248046772384 132932882351718676935 141795074508499922064 144899549154052618932 155945703125437796160 159519458822062412322 160999499060058465480 171732798997395696512 177243843135624902580 181124436442565773665 189060099344666562752 193199398872070158576 212692611762749883096 214665998746744620640 217349323731078928398 236325124180833203440 239279188233093618483 241499248590087698220 257599198496093544768 265865764703437353870 283590149016999844128 289799098308105237864 311891406250875592320 319038917644124824644 321998998120116930960 354487686271249805160 362248872885131547330 378120198689333125504 386398797744140317152 398798647055156030805 425385223525499766192 429331997493489241280 434698647462157856796 472650248361666406880 478558376466187236966 482998497180175396440 515198396992187089536 531731529406874707740 543373309327697320995 567180298033999688256 579598196616210475728 638077835288249649288 643997996240233861920 658756283654072554589 708975372542499610320 724497745770263094660 772797595488280634304 797597294110312061610 850770447050999532384 858663994986978482560 869397294924315713592 945300496723332813760 957116752932374473932 965996994360350792880 1063463058813749415480 1086746618655394641990 1134360596067999376512 1159196393232420951456 1196395941165468092415 1276155670576499298576 1287995992480467723840 1317512567308145109178 1417950745084999220640 1448995491540526189320 1545595190976561268608 1595194588220624123220 1701540894101999064768 1738794589848631427184 1890600993446665627520 1914233505864748947864 1931993988720701585760 1976268850962217663767 2126926117627498830960 2173493237310789283980 2318392786464841902912 2392791882330936184830 2552311341152998597152 2575991984960935447680 2635025134616290218356 2835901490169998441280 2897990983081052378640 3190389176441248246440 3293781418270362772945 3403081788203998129536 3477589179697262854368 3828467011729497895728 3863987977441403171520 3952537701924435327534 4253852235254997661920 4346986474621578567960 4636785572929683805824 4785583764661872369660 5104622682305997194304 5270050269232580436712 5671802980339996882560 5795981966162104757280 5928806552886652991301 6380778352882496492880 6587562836540725545890 6955178359394525708736 7656934023458995791456 7727975954882806343040 7905075403848870655068 8507704470509995323840 8693972949243157135920 9571167529323744739320 9881344254811088318835 10209245364611994388608 10540100538465160873424 11591963932324209514560 11857613105773305982602 12761556705764992985760 13175125673081451091780 13910356718789051417472 15313868046917991582912 15810150807697741310136 17015408941019990647680 17387945898486314271840 17786419658659958973903 19142335058647489478640 19762688509622176637670 21080201076930321746848 23183927864648419029120 23715226211546611965204 25523113411529985971520 26350251346162902183560 29644032764433264956505 30627736093835983165824 31620301615395482620272 34775891796972628543680 35572839317319917947806 38284670117294978957280 39525377019244353275340 42160402153860643493696 47430452423093223930408 51046226823059971943040 52700502692325804367120 53359258975979876921709 59288065528866529913010 63240603230790965240544 69551783593945257087360 71145678634639835895612 76569340234589957914560 79050754038488706550680 84320804307721286987392 88932098293299794869515 94860904846186447860816 105401005384651608734240 106718517951959753843418 118576131057733059826020 126481206461581930481088 142291357269279671791224 153138680469179915829120 158101508076977413101360 177864196586599589739030 189721809692372895721632 210802010769303217468480 213437035903919507686836 237152262115466119652040 252962412923163860962176 266796294879899384608545 284582714538559343582448 316203016153954826202720 355728393173199179478060 379443619384745791443264 421604021538606434936960 426874071807839015373672 474304524230932239304080 533592589759798769217090 569165429077118687164896 632406032307909652405440 711456786346398358956120 758887238769491582886528 853748143615678030747344 948609048461864478608160 1067185179519597538434180 1138330858154237374329792 1264812064615819304810880 1422913572692796717912240 1707496287231356061494688 1897218096923728957216320 2134370359039195076868360 2276661716308474748659584 2845827145385593435824480 3414992574462712122989376 3794436193847457914432640 4268740718078390153736720 5691654290771186871648960 6829985148925424245978752 8537481436156780307473440 11383308581542373743297920 17074962872313560614946880 34149925744627121229893760
- Sum of all divisors σ(n): 122751932468573796273768960
- Sum of proper divisors (its aliquot sum) s(n): 88602006723946675043875200
- 34149925744627121229893760 is an abundant number, because the sum of its proper divisors (88602006723946675043875200) is greater than itself. Its abundance is 54452080979319553813981440
Bases of 34149925744627121229893760
- Binary: 11100001111111000011100101111001000101111010101001001101101000111101110010000100000002
- Hexadecimal: 0x1C3F872F22F549B47B9080
- Base-36: 4AH0UTX8ISHU3K800
Squares and roots of 34149925744627121229893760
- 34149925744627121229893760 squared (341499257446271212298937602) is 1166217428363546240403108995054898342181060886937600
- 34149925744627121229893760 cubed (341499257446271212298937603) is 39826238580705103254275429873717371845174397758300734947822282736619749376000
-
The
square root of 34149925744627121229893760 is 5843793780124.9558835287 -
The
cube root of 34149925744627121229893760 is 324436659.5811843345
Scales and comparisons
How big is 34149925744627121229893760?- 34,149,925,744,627,121,229,893,760 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 34,149,925,744,627,121,229,893,760 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 34149925744627121229893760 cubic inches would be around 27036388.3 feet tall.
Recreational maths with 34149925744627121229893760
- 34149925744627121229893760 backwards is 06739892212172644752994143
- The number of decimal digits it has is: 26
- The sum of 34149925744627121229893760's digits is 117
- More coming soon!
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The information we have on file for 34149925744627121229893760 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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