34382084993989040
34,382,084,993,989,040 is an even composite number composed of five prime numbers multiplied together.
34382084993989040 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred divisors.
Prime factorization of 34382084993989040:
24 × 5 × 73 × 116 × 294
(2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 11 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 34382084993989040 from the Numbermatics database.
Names of 34382084993989040
- Cardinal: 34382084993989040 can be written as Thirty-four quadrillion, three hundred eighty-two trillion, eighty-four billion, nine hundred ninety-three million, nine hundred eighty-nine thousand and forty.
Scientific notation
- Scientific notation: 3.438208499398904 × 1016
Factors of 34382084993989040
Divisors of 34382084993989040
- Number of divisors d(n): 1400
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 29 35 40 44 49 55 56 58 70 77 80 88 98 110 112 116 121 140 145 154 176 196 203 220 232 242 245 280 290 308 319 343 385 392 406 440 464 484 490 539 560 580 605 616 638 686 770 784 812 841 847 880 968 980 1015 1078 1160 1210 1232 1276 1331 1372 1421 1540 1595 1624 1682 1694 1715 1936 1960 2030 2156 2233 2320 2420 2552 2662 2695 2744 2842 3080 3190 3248 3364 3388 3430 3509 3773 3920 4060 4205 4235 4312 4466 4840 5104 5324 5390 5488 5684 5887 5929 6160 6380 6655 6728 6776 6860 7018 7105 7546 8120 8410 8470 8624 8932 9251 9317 9680 9947 10648 10780 11165 11368 11774 11858 12760 13310 13456 13552 13720 14036 14210 14641 15092 15631 16240 16820 16940 17545 17864 18502 18634 18865 19894 21296 21560 22330 22736 23548 23716 24389 24563 25520 26620 27440 28072 28420 29282 29435 29645 30184 31262 33640 33880 35090 35728 37004 37268 37730 38599 39788 41209 41503 43120 44660 46255 46585 47096 47432 48778 49126 49735 53240 56144 56840 58564 58870 59290 60368 62524 64757 65219 67280 67760 70180 73205 74008 74536 75460 77198 78155 79576 82418 83006 89320 92510 93170 94192 94864 97556 98252 99470 101761 102487 106480 109417 113680 117128 117740 118580 121945 122815 125048 129514 130438 140360 146410 148016 149072 150920 154396 156310 159152 161051 164836 166012 170723 171941 178640 185020 186340 192995 195112 196504 198940 203522 204974 206045 207515 218834 234256 235480 237160 243890 245630 250096 259028 260876 268279 270193 280720 288463 292820 301840 308792 312620 322102 323785 326095 329672 332024 341446 343882 370040 372680 385990 390224 393008 397880 407044 409948 412090 415030 424589 437668 453299 456533 470960 474320 487780 491260 508805 512435 518056 521752 536558 540386 547085 576926 585640 617584 625240 644204 647570 652190 659344 664048 682892 687764 707281 712327 717409 740080 745360 771980 795760 805255 814088 819896 824180 830060 849178 853615 859705 875336 906598 913066 975560 982520 1017610 1024870 1036112 1043504 1073116 1080772 1094170 1119371 1127357 1153852 1171280 1195061 1203587 1250480 1288408 1295140 1304380 1341395 1350965 1365784 1375528 1414562 1424654 1434818 1442315 1543960 1610510 1628176 1639792 1648360 1660120 1698356 1707230 1719410 1750672 1771561 1813196 1826132 1877953 1891351 1951120 1965040 2035220 2049740 2122945 2146232 2161544 2188340 2238742 2254714 2266495 2282665 2307704 2390122 2407174 2576816 2590280 2608760 2682790 2701930 2731568 2751056 2829124 2849308 2869636 2884630 2951069 2972123 3087920 3173093 3221020 3296720 3320240 3396712 3414460 3438820 3536405 3543122 3561635 3587045 3626392 3652264 3755906 3782702 4070440 4099480 4245890 4292464 4323088 4376680 4477484 4509428 4532990 4565330 4615408 4670479 4780244 4814348 4950967 4986289 5021863 5180560 5217520 5365580 5403860 5596855 5636785 5658248 5698616 5739272 5769260 5902138 5944246 5975305 6017935 6346186 6442040 6793424 6828920 6877640 7072810 7086244 7123270 7174090 7252784 7304528 7511812 7565404 7780091 7835597 7891499 8140880 8198960 8365427 8491780 8753360 8857805 8954968 9018856 9065980 9130660 9340958 9389765 9456755 9560488 9628696 9901934 9972578 10043726 10731160 10807720 11193710 11273570 11316496 11397232 11478544 11538520 11804276 11888492 11950610 12035870 12313081 12400927 12692372 12884080 13145671 13239457 13657840 13755280 14145620 14172488 14246540 14348180 14755345 14860615 15023624 15130808 15560182 15671194 15782998 15865465 16730854 16983560 17715610 17909936 18037712 18131960 18261320 18681916 18779530 18913510 19120976 19257392 19803868 19945156 20087452 20657483 20804861 21462320 21615440 22387420 22547140 23077040 23352395 23608552 23776984 23901220 24071740 24626162 24754835 24801854 24931445 25109315 25384744 26291342 26478914 28291240 28344976 28493080 28696360 29510690 29721230 30047248 30261616 31120364 31342388 31565996 31730930 32461759 32693353 33461708 33967120 34656769 34904023 35431220 36263920 36522640 37363832 37559060 37827020 38900455 39177985 39457495 39607736 39890312 40174904 41314966 41609722 41827135 44774840 45094280 46704790 47217104 47553968 47802440 48143480 49252324 49509670 49603708 49862890 50218630 50769488 51375269 52582684 52957828 54460637 54849179 55240493 56582480 56986160 57392720 59021380 59442460 61565405 62004635 62240728 62684776 63131992 63461860 64923518 65386706 65728355 66197285 66923416 69313538 69808046 70862440 74727664 75118120 75654040 77800910 78355970 78914990 79215472 79780624 80349808 82629932 83219444 83654270 85581001 86191567 86806489 89549680 90188560 92019697 93409580 95604880 96286960 98504648 99019340 99207416 99725780 100437260 102750538 103287415 104024305 105165368 105915656 108921274 109698358 110480986 118042760 118884920 123130810 124009270 124481456 125369552 126263984 126923720 129847036 130773412 131456710 132394570 133846832 135443891 138627076 139616092 141724880 144602381 145634027 150236240 151308080 155601820 156711940 157829980 162308795 163466765 165259864 166438888 167308540 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2499555443 2517388181 2596940720 2615468240 2668571213 2708877820 2772541520 2792321840 2856634792 2877015064 2892047620 2912680540 2979765602 2995335035 3016704845 3038227115 3049795672 3071554024 3181252382 3203948594 3423240040 3447662680 3472259560 3570793490 3596268830 3635717008 3661655536 3680787880 3765564044 3792428948 3812244590 3839442530 3881558128 3927872839 4048866668 4110021520 4193469049 4223386783 4356850960 4387934320 4419239440 4544646260 4577069420 4706955055 4740536185 4792536056 4826727752 4851947660 4861163384 4999110886 5034776362 5061083335 5337142426 5417755640 5713269584 5754030128 5784095240 5825361080 5959531204 5990670070 6033409690 6076454230 6099591344 6143108048 6362504764 6407897188 6589737077 6636750659 6846480080 6895325360 6944519120 7141586980 7192537660 7361575760 7449414005 7531128088 7584857896 7624489180 7678885060 7855745678 7953130955 8009871485 8097733336 8386938098 8446773566 9089292520 9154138840 9413910110 9481072370 9585072112 9653455504 9703895320 9722326768 9998221772 10069552724 10122166670 10355301121 10429179607 10674284852 10835511280 11134383337 11568190480 11650722160 11919062408 11981340140 12066819380 12152908460 12497777215 12586940905 12725009528 12815794376 13179474154 13273501318 13342856065 14283173960 14385075320 14898828010 15062256176 15169715792 15248978360 15357770120 15711491356 15906261910 16019742970 16195466672 16773876196 16893547132 17496888101 17621717267 18178585040 18308277680 18827820220 18962144740 19407790640 19639364195 19996443544 20139105448 20244333340 20710602242 20858359214 20967345245 21116933915 21348569704 22268766674 23838124816 23962680280 24133638760 24305816920 24995554430 25173881810 25450019056 25631588752 26358948308 26547002636 26685712130 27495109873 28566347920 28770150640 29354283343 29797656020 30497956720 30715540240 31422982712 31812523820 32039485940 32948685385 33183753295 33547752392 33787094264 34993776202 35243434534 37655640440 37924289480 39278728390 39992887088 40278210896 40488666680 41421204484 41716718428 41934690490 42233867830 42697139408 43206601229 44537533348 46128159539 46457254613 47925360560 48267277520 48611633840 49991108860 50347763620 51776505605 52145898035 52717896616 53094005272 53371424260 54990219746 55671916685 58708566686 59595312040 62845965424 63625047640 64078971880 65897370770 66367506590 67095504784 67574188528 69987552404 70486869068 72487107847 73004257249 75311280880 75848578960 78557456780 80977333360 82842408968 83433436856 83869380980 84467735660 86413202458 87484440505 88108586335 89075066696 92256319078 92914509226 99982217720 100695527240 103553011210 104291796070 105435793232 106188010544 106742848520 109980439492 111343833370 113908312331 117417133372 119190624080 122478216707 127250095280 128157943760 131794741540 132735013180 137475549365 139975104808 140973738136 144974215694 146008514498 146771416715 157114913560 165684817936 166866873712 167738761960 168935471320 172826404916 174968881010 176217172670 178150133392 184512638156 185829018452 192465769111 199964435440 201391054480 207106022420 208583592140 213485697040 216033006145 219960878984 222687666740 227816624662 230640797695 232286273065 234834266744 244956433414 263589483080 265470026360 274951098730 279950209616 281947476272 289948431388 292017028996 293542833430 302446208603 314229827120 322897116773 335477523920 337870942640 345652809832 349937762020 352434345340 362435539235 365021286245 369025276312 371658036904 384931538222 414212044840 417167184280 432066012290 439921757968 445375333480 455633249324 461281595390 464572546130 469668533488 489912866828 507409754929 511029800743 527178966160 530940052720 549902197460 569541561655 579896862776 584034057992 587085666860 604892417206 612391083535 645794233546 691305619664 699875524040 704868690680 724871078470 730042572490 738050552624 743316073808 769863076444 797358186317 828424089680 834334368560 864132024580 890750666960 911266498648 922563190780 929145092260 962328845555 979825733656 1014819509858 1022059601486 1099804394920 1139083123310 1159793725552 1168068115984 1174171333720 1209784834412 1224782167070 1252991435641 1291588467092 1347260383777 1399751048080 1409737381360 1449742156940 1460085144980 1512231043015 1539726152888 1594716372634 1614485583865 1728264049160 1822532997296 1845126381560 1858290184520 1924657691110 1959651467312 2029639019716 2044119202972 2117123460221 2199608789840 2278166246620 2348342667440 2419569668824 2449564334140 2505982871282 2537048774645 2555149003715 2583176934184 2694520767554 2899484313880 2920170289960 3024462086030 3079452305776 3189432745268 3228971167730 3456528098320 3551868284503 3690252763120 3716580369040 3849315382220 3986790931585 4059278039432 4088238405944 4234246920442 4556332493240 4839139337648 4899128668280 5011965742564 5074097549290 5110298007430 5166353868368 5389041535108 5581507304219 5798968627760 5840340579920 6048924172060 6264957178205 6378865490536 6457942335460 6736301918885 7103736569006 7698630764440 7973581863170 8118556078864 8176476811888 8468493840884 8770940049487 9112664986480 9798257336560 10023931485128 10148195098580 10220596014860 10585617301105 10778083070216 11163014608438 12097848344120 12529914356410 12757730981072 12915884670920 13472603837770 14207473138012 14819864221547 15397261528880 15947163726340 16936987681768 17541880098974 17759341422515 20047862970256 20296390197160 20441192029720 21171234602210 21556166140432 22326029216876 24195696688240 25059828712820 25831769341840 26945207675540 27907536521095 28414946276024 29639728443094 31894327452680 33873975363536 35083760197948 35518682845030 39070551129533 40592780394320 40882384059440 42342469204420 43854700247435 44652058433752 50119657425640 53890415351080 55815073042190 56829892552048 59279456886188 61396580346409 63788654905360 70167520395896 71037365690060 74099321107735 78141102259066 84684938408840 87709400494870 89304116867504 100239314851280 107780830702160 111630146084380 118558913772376 122793160692818 140335040791792 142074731380120 148198642215470 156282204518132 169369876817680 175418800989740 195352755647665 223260292168760 237117827544752 245586321385636 284149462760240 296397284430940 306982901732045 312564409036264 350837601979480 390705511295330 429776062424863 446520584337520 491172642771272 592794568861880 613965803464090 625128818072528 701675203958960 781411022590660 859552124849726 982345285542544 1185589137723760 1227931606928180 1562822045181320 1719104249699452 2148880312124315 2455863213856360 3125644090362640 3438208499398904 4297760624248630 4911726427712720 6876416998797808 8595521248497260 17191042496994520 34382084993989040
- Sum of all divisors σ(n): 106207123432336800
- Sum of proper divisors (its aliquot sum) s(n): 71825038438347760
- 34382084993989040 is an abundant number, because the sum of its proper divisors (71825038438347760) is greater than itself. Its abundance is 37442953444358720
Bases of 34382084993989040
- Binary: 11110100010011001010010111110101011010000111001101100002
- Hexadecimal: 0x7A2652FAB439B0
- Base-36: 9EJFJSMAJZK
Squares and roots of 34382084993989040
- 34382084993989040 squared (343820849939890402) is 1182127768533886324732931640121600
- 34382084993989040 cubed (343820849939890403) is 40644017411486682265758808607333598764494667264000
-
The
square root of 34382084993989040 is 185424068.0008640085 -
The
cube root of 34382084993989040 is 325170.1988027365
Scales and comparisons
How big is 34382084993989040?- 34,382,084,993,989,040 seconds is equal to 1,093,243,952 years, 1 week, 6 days, 12 hours, 57 minutes, 20 seconds.
-
To count from 1 to 34,382,084,993,989,040 would take you about three billion, two hundred seventy-nine million, seven hundred thirty-one thousand, eight hundred fifty-six 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 34382084993989040 cubic inches would be around 27097.5 feet tall.
Recreational maths with 34382084993989040
- 34382084993989040 backwards is 04098939948028343
- The number of decimal digits it has is: 17
- The sum of 34382084993989040's digits is 83
- More coming soon!
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"Number 34382084993989040 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 34382084993989040 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/34382084993989040/
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The information we have on file for 34382084993989040 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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