34040728393861267728
34,040,728,393,861,267,728 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34040728393861267728 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
34040728393861267728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 34040728393861267728:
24 × 35 × 13 × 89 × 499 × 64399 × 235483
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 89 × 499 × 64399 × 235483)See below for interesting mathematical facts about the number 34040728393861267728 from the Numbermatics database.
Names of 34040728393861267728
- Cardinal: 34040728393861267728 can be written as Thirty-four quintillion, forty quadrillion, seven hundred twenty-eight trillion, three hundred ninety-three billion, eight hundred sixty-one million, two hundred sixty-seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 3.4040728393861267728 × 1019
Factors of 34040728393861267728
Divisors of 34040728393861267728
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 89 104 108 117 144 156 162 178 208 216 234 243 267 312 324 351 356 432 468 486 499 534 624 648 702 712 801 936 972 998 1053 1068 1157 1296 1404 1424 1497 1602 1872 1944 1996 2106 2136 2314 2403 2808 2994 3159 3204 3471 3888 3992 4212 4272 4491 4628 4806 5616 5988 6318 6408 6487 6942 7209 7984 8424 8982 9256 9612 10413 11976 12636 12816 12974 13473 13884 14418 16848 17964 18512 19224 19461 20826 21627 23952 25272 25948 26946 27768 28836 31239 35928 38448 38922 40419 41652 43254 44411 50544 51896 53892 55536 57672 58383 62478 64399 71856 77844 80838 83304 86508 88822 93717 103792 107784 115344 116766 121257 124956 128798 133233 155688 161676 166608 173016 175149 177644 187434 193197 215568 233532 235483 242514 249912 257596 266466 281151 311376 323352 346032 350298 355288 374868 386394 399699 467064 470966 485028 499824 515192 525447 532932 562302 577343 579591 646704 700596 706449 710576 749736 772788 799398 837187 934128 941932 970056 1030384 1050894 1065864 1124604 1154686 1159182 1199097 1401192 1412898 1499472 1545576 1576341 1598796 1674374 1732029 1738773 1883864 1940112 2101788 2119347 2131728 2249208 2309372 2318364 2398194 2511561 2802384 2825796 3061279 3091152 3152682 3197592 3348748 3464058 3477546 3597291 3767728 4203576 4238694 4498416 4618744 4636728 4796388 5023122 5196087 5216319 5651592 5731511 6122558 6305364 6358041 6395184 6697496 6928116 6955092 7194582 7534683 8407152 8477388 9183837 9237488 9273456 9592776 10046244 10392174 10432638 10791873 11303184 11463022 12245116 12610728 12716082 13394992 13856232 13910184 14389164 15069366 15588261 15648957 16954776 17194533 18367674 19074123 19185552 20092488 20784348 20865276 20957987 21583746 22604049 22926044 24490232 25221456 25432164 27551511 27712464 27820368 28778328 30138732 31176522 31297914 32135101 33909552 34389066 36735348 38148246 40184976 41568696 41730552 41915974 43167492 45208098 45852088 46764783 48980464 50864328 51583599 55103022 57222369 57556656 60277464 62353044 62595828 62873961 64270202 67812147 68778132 73470696 74509643 76296492 82654533 83137392 83461104 83831948 86334984 90416196 91704176 93529566 96405303 101728656 103167198 110206044 114444738 117506017 120554928 124706088 125191656 125747922 128540404 135624294 137556264 140294349 146941392 149019286 152592984 154750797 165309066 167663896 172669968 180832392 187059132 188621883 192810606 203436441 206334396 220412088 223528929 228889476 235012034 247963599 249412176 250383312 251495844 257080808 271248588 272453831 275112528 280588698 289215909 298038572 305185968 309501594 330618132 335327792 352518051 361664784 374118264 377243766 385621212 406872882 412668792 417756313 440824176 447057858 457778952 464252391 470024068 495927198 502991688 514161616 542497176 544907662 561177396 565865649 578431818 596077144 619003188 661236264 670586787 705036102 743890797 748236528 754487532 771242424 813745764 817361493 825337584 835512626 867647727 894115716 915557904 928504782 940048136 991854396 1005983376 1057554153 1084994352 1089815324 1122354792 1131731298 1156863636 1192154288 1238006376 1253268939 1322472528 1341173574 1392757173 1410072204 1487781594 1508975064 1527578221 1542484848 1627491528 1634722986 1671025252 1697596947 1735295454 1788231432 1857009564 1880096272 1983708792 2011760361 2115108306 2179630648 2244709584 2263462596 2313727272 2452084479 2476012752 2506537878 2602943181 2682347148 2785514346 2820144408 2860023989 2975563188 3017950128 3055156442 3172662459 3254983056 3269445972 3342050504 3395193894 3470590908 3576462864 3714019128 3759806817 3967417584 4023520722 4230216612 4359261296 4526925192 4582734663 4627454544 4904168958 5013075756 5092790841 5205886362 5364694296 5571028692 5640288816 5720047978 5951126376 6035281083 6110312884 6345324918 6538891944 6684101008 6790387788 6941181816 7356253437 7428038256 7519613634 7808829543 8047041444 8460433224 8580071967 9053850384 9165469326 9517987377 9808337916 10026151512 10185581682 10411772724 10458035513 10729388592 11142057384 11279420451 11440095956 11902252752 12070562166 12220625768 12690649836 13077783888 13580775576 13748203989 13882363632 14712506874 15039227268 15164869717 15617659086 16094082888 16920866448 17160143934 18105843249 18330938652 19035974754 19616675832 20052303024 20371163364 20823545448 20916071026 22068760311 22284114768 22558840902 22880191912 24141124332 24441251536 25381299672 25740215901 27161551152 27496407978 28553962131 29425013748 30078454536 30329739434 31235318172 31374106539 32188165776 33838261353 34320287868 36211686498 36661877304 37180311857 38071949508 39233351664 40742326728 41244611967 41647090896 41832142052 44137520622 45117681804 45494609151 45760383824 48282248664 50762599344 51480431802 54992815956 57107924262 58850027496 60156909072 60659478868 62470636344 62748213078 66206280933 67676522706 68640575736 72423372996 73323754608 74360623714 76143899016 77220647703 81484653456 82489223934 83664284104 88275041244 90235363608 90989218302 94122319617 96564497328 101514784059 102960863604 109985631912 111540935571 114215848524 117700054992 121318957736 123733835901 124941272688 125496426156 132412561866 135353045412 135954461669 136483827453 137281151472 144846745992 148721247428 152287798032 154441295406 164978447868 167328568208 176550082488 180470727216 181978436604 188244639234 197143306321 203029568118 205921727208 219971263824 223081871142 228431697048 231661943109 242637915472 247467671802 250992852312 264825123732 270706090824 271908923338 272967654906 282366958851 289693491984 297442494856 308882590812 329956895736 334622806713 353100164976 363956873208 371201507703 376489278468 394286612642 406059136236 407863385007 409451482359 411843454416 446163742284 456863394096 463323886218 494935343604 501985704624 529650247464 541412181648 543817846676 545935309812 564733917702 591429918963 594884989712 617765181624 659913791472 669245613426 694985829327 727913746416 742403015406 752978556936 788573225284 812118272472 815726770014 818902964718 847100876553 892327484568 926647772436 989870687208 1003868420139 1059300494928 1087635693352 1091870619624 1129467835404 1182859837926 1223590155021 1228354447077 1235530363248 1338491226852 1349673404813 1389971658654 1484806030812 1505957113872 1577146450568 1624236544944 1631453540028 1637805929436 1694201753106 1774289756889 1784654969136 1853295544872 1979741374416 2007736840278 2175271386704 2183741239248 2258935670808 2365719675852 2447180310042 2456708894154 2541302629659 2676982453704 2699346809626 2779943317308 2969612061624 3011605260417 3154292901136 3262907080056 3275611858872 3388403506212 3548579513778 3670770465063 3685063341231 3706591089744 4015473680556 4049020214439 4517871341616 4731439351704 4894360620084 4913417788308 5082605259318 5322869270667 5353964907408 5398693619252 5559886634616 5939224123248 6023210520834 6525814160112 6551223717744 6776807012424 7097159027556 7341540930126 7370126682462 7567269988783 8030947361112 8098040428878 9034815781251 9462878703408 9788721240168 9826835576616 10165210518636 10645738541334 10797387238504 11012311395189 11119773269232 12046421041668 12147060643317 13553614024848 14194318055112 14683081860252 14740253364924 15134539977566 15968607812001 16061894722224 16196080857756 17545754262569 18069631562502 19577442480336 19653671153232 20330421037272 21291477082668 21594774477008 22024622790378 22701809966349 24092842083336 24294121286634 28388636110224 29366163720504 29480506729848 30269079955132 31937215624002 32392161715512 33036934185567 35091508525138 36139263125004 36441181929951 40660842074544 42582954165336 44049245580756 45403619932698 47905823436003 48185684166672 48588242573268 52637262787707 58732327441008 58961013459696 60538159910264 63874431248004 64784323431024 66073868371134 68105429899047 70183017050276 72278526250008 72882363859902 85165908330672 88098491161512 90807239865396 95811646872006 97176485146536 98374509854179 105274525575414 109323545789853 121076319820528 127748862496008 132147736742268 136210859798094 140366034100552 144557052500016 145764727719804 157911788363121 176196982323024 181614479730792 191623293744012 194352970293072 196749019708358 204316289697141 210549051150828 218647091579706 255497724992016 264295473484536 272421719596188 280732068201104 291529455439608 295123529562537 315823576726242 327970637369559 363228959461584 383246587488024 393498039416716 408632579394282 421098102301656 437294183159412 473735365089363 528590946969072 544843439192376 583058910879216 590247059125074 612948869091423 631647153452484 655941274739118 673487029001687 766493174976048 786996078833432 817265158788564 842196204603312 874588366318824 885370588687611 947470730178726 1089686878384752 1180494118250148 1225897738182846 1263294306904968 1311882549478236 1346974058003374 1421206095268089 1573992157666864 1634530317577128 1749176732637648 1770741177375222 1838846607274269 1894941460357452 2020461087005061 2360988236500296 2451795476365692 2526588613809936 2623765098956472 2656111766062833 2693948116006748 2842412190536178 3269060635154256 3541482354750444 3677693214548538 3789882920714904 4040922174010122 4263618285804267 4721976473000592 4903590952731384 5247530197912944 5312223532125666 5387896232013496 5684824381072356 6061383261015183 7082964709500888 7355386429097076 7579765841429808 7968335298188499 8081844348020244 8527236571608534 8755331377021931 9807181905462768 10624447064251332 10775792464026992 11369648762144712 12122766522030366 14165929419001776 14710772858194152 15936670596376998 16163688696040488 17054473143217068 17510662754043862 18184149783045549 21248894128502664 22739297524289424 23905005894565497 24245533044060732 26265994131065793 29421545716388304 31873341192753996 32327377392080976 34108946286434136 35021325508087724 36368299566091098 42497788257005328 47810011789130994 48491066088121464 52531988262131586 54552449349136647 63746682385507992 68217892572868272 70042651016175448 72736599132182196 78797982393197379 95620023578261988 96982132176242928 105063976524263172 109104898698273294 127493364771015984 140085302032350896 145473198264364392 157595964786394758 163657348047409941 191240047156523976 210127953048526344 218209797396546588 236393947179592137 290946396528728784 315191929572789516 327314696094819882 382480094313047952 420255906097052688 436419594793093176 472787894359184274 630383859145579032 654629392189639764 709181841538776411 872839189586186352 945575788718368548 1260767718291158064 1309258784379279528 1418363683077552822 1891151577436737096 2127545524616329233 2618517568758559056 2836727366155105644 3782303154873474192 4255091049232658466 5673454732310211288 8510182098465316932 11346909464620422576 17020364196930633864 34040728393861267728
- Sum of all divisors σ(n): 107807977472832000000
- Sum of proper divisors (its aliquot sum) s(n): 73767249078970732272
- 34040728393861267728 is an abundant number, because the sum of its proper divisors (73767249078970732272) is greater than itself. Its abundance is 39726520685109464544
Bases of 34040728393861267728
- Binary: 111011000011010001111011000011110011000111010011110000001000100002
- Hexadecimal: 0x1D868F61E63A78110
- Base-36: 76MIN4HRJCX00
Squares and roots of 34040728393861267728
- 34040728393861267728 squared (340407283938612677282) is 1158771189584632724054750184307294281984
- 34040728393861267728 cubed (340407283938612677283) is 39445415335282005275932882575432381140585221771783751012352
-
The
square root of 34040728393861267728 is 5834443280.5419633907 -
The
cube root of 34040728393861267728 is 3240904.8555459855
Scales and comparisons
How big is 34040728393861267728?- 34,040,728,393,861,267,728 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 34,040,728,393,861,267,728 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 34040728393861267728 cubic inches would be around 270075.4 feet tall.
Recreational maths with 34040728393861267728
- 34040728393861267728 backwards is 82776216839382704043
- The number of decimal digits it has is: 20
- The sum of 34040728393861267728's digits is 90
- More coming soon!
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"Number 34040728393861267728 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 34040728393861267728 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/34040728393861267728/
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Numbermatics. 2024. "Number 34040728393861267728 - Facts about the integer". https://numbermatics.com/n/34040728393861267728/
The information we have on file for 34040728393861267728 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 34040728393861267728, math, Factors of 34040728393861267728, curriculum, school, college, exams, university, Prime factorization of 34040728393861267728, STEM, science, technology, engineering, physics, economics, calculator, thirty-four quintillion, forty quadrillion, seven hundred twenty-eight trillion, three hundred ninety-three billion, eight hundred sixty-one million, two hundred sixty-seven thousand, seven hundred twenty-eight.