12840742435389440
12,840,742,435,389,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 12840742435389440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
12840742435389440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12840742435389440:
215 × 5 × 11 × 132 × 432 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 13 × 43 × 43 × 151 × 151)See below for interesting mathematical facts about the number 12840742435389440 from the Numbermatics database.
Names of 12840742435389440
- Cardinal: 12840742435389440 can be written as Twelve quadrillion, eight hundred forty trillion, seven hundred forty-two billion, four hundred thirty-five million, three hundred eighty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.284074243538944 × 1016
Factors of 12840742435389440
Divisors of 12840742435389440
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 40 43 44 52 55 64 65 80 86 88 104 110 128 130 143 151 160 169 172 176 208 215 220 256 260 286 302 320 338 344 352 416 430 440 473 512 520 559 572 604 640 676 688 704 715 755 832 845 860 880 946 1024 1040 1118 1144 1208 1280 1352 1376 1408 1430 1510 1661 1664 1690 1720 1760 1849 1859 1892 1963 2048 2080 2236 2288 2365 2416 2560 2704 2752 2795 2816 2860 3020 3322 3328 3380 3440 3520 3698 3718 3784 3926 4096 4160 4472 4576 4730 4832 5120 5408 5504 5590 5632 5720 6040 6149 6493 6644 6656 6760 6880 7040 7267 7396 7436 7568 7852 8192 8305 8320 8944 9152 9245 9295 9460 9664 9815 10240 10816 11008 11180 11264 11440 12080 12298 12986 13288 13312 13520 13760 14080 14534 14792 14872 15136 15704 16384 16610 16640 17888 18304 18490 18590 18920 19328 19630 20339 20480 21593 21632 22016 22360 22528 22801 22880 24037 24160 24596 25519 25972 26576 26624 27040 27520 28160 29068 29584 29744 30272 30745 31408 32465 32768 33220 33280 35776 36335 36608 36980 37180 37840 38656 39260 40678 40960 43186 43264 44032 44720 45056 45602 45760 48074 48320 49192 51038 51944 53152 53248 54080 55040 56320 58136 59168 59488 60544 61490 62816 64930 66440 66560 71423 71552 72670 73216 73960 74360 75680 77312 78520 79937 81356 81920 84409 86372 86528 88064 89440 90112 91204 91520 96148 96640 98384 101695 102076 103888 106304 106496 107965 108160 110080 112640 114005 116272 118336 118976 120185 121088 122980 125632 127595 129860 132880 133120 142846 143104 145340 146432 147920 148720 151360 154624 157040 159874 162712 163840 168818 172744 173056 176128 178880 180224 182408 183040 192296 193280 196768 203390 204152 207776 212608 212992 215930 216320 220160 225280 228010 232544 236672 237952 240370 242176 245960 250811 251264 255190 259720 264407 265760 266240 279199 280709 285692 286208 290680 292864 295840 296413 297440 302720 309248 312481 314080 319748 325424 337636 345488 346112 352256 357115 357760 360448 364816 366080 384592 386560 393536 399685 406780 408304 415552 422045 425216 425984 431860 432640 440320 450560 456020 465088 473344 475904 480740 484352 491920 501622 502528 510380 519440 528814 531520 532480 558398 561418 571384 572416 581360 585728 591680 592826 594880 605440 618496 624962 628160 639496 650848 675272 690976 692224 704512 714230 715520 729632 732160 769184 773120 787072 799370 813560 816608 831104 844090 850432 863720 865280 880640 901120 912040 928499 930176 946688 951808 961480 968704 980443 983840 1003244 1005056 1020760 1038880 1057628 1063040 1064960 1097317 1116796 1122836 1142768 1144832 1162720 1171456 1183360 1185652 1189760 1210880 1236992 1249924 1254055 1256320 1278992 1301696 1322035 1350544 1381952 1384448 1395995 1403545 1409024 1428460 1431040 1459264 1464320 1482065 1538368 1546240 1562405 1574144 1598740 1627120 1633216 1662208 1688180 1700864 1727440 1730560 1761280 1802240 1824080 1856998 1860352 1893376 1903616 1922960 1937408 1960886 1967680 2006488 2010112 2041520 2077760 2115256 2126080 2129920 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42417885952 43170866176 43320442880 43404348416 43845410960 44174839808 44865071680 44946104320 45743964160 45991362560 48229952056 48317062144 48564305920 49440714752 50318360576 51104584960 51196887040 52206628864 53022357440 53420736512 53963582720 54255435520 55218549760 56316575744 56999034248 58324593184 59359940992 59467153408 60287440070 60396327680 61800893440 62897950720 63133597696 65258286080 66435960448 66775920640 70152657536 70395719680 71248792810 71784114688 72905741480 74199926240 74333941760 76062638080 78373672091 78916997120 80317890560 81767335936 83044950560 84835771904 86341732352 86808696832 87690821920 88349679616 89730143360 89892208640 96459904112 96634124288 98881429504 100636721152 102209169920 104413257728 106044714880 106841473024 107927165440 108510871040 110437099520 112633151488 113998068496 116649186368 118719881984 118934306816 120574880140 120792655360 123601786880 125795901440 126267195392 130516572160 132871920896 133551841280 140305315072 140791439360 142497585620 143568229376 145811482960 148399852480 148667883520 152125276160 156747344182 157833994240 160635781120 163534671872 166089901120 169671543808 172683464704 173617393664 175381643840 176699359232 179460286720 179784417280 192919808224 193268248576 197762859008 204418339840 208826515456 212089429760 215854330880 217021742080 220874199040 227996136992 233298372736 237439763968 241149760280 241585310720 247203573760 251591802880 261033144320 265743841792 267103682560 280610630144 281582878720 284995171240 287136458752 291622965920 296799704960 297335767040 313494688364 315667988480 327069343744 332179802240 339343087616 345366929408 347234787328 350763287680 353398718464 358920573440 385839616448 386536497152 391868360455 395525718016 408836679680 417653030912 424178859520 431708661760 434043484160 441748398080 455992273984 466596745472 474879527936 482299520560 483170621440 494407147520 503183605760 522066288640 531487683584 534207365120 561221260288 563165757440 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3453669294080 3472347873280 3647938191872 3732773963776 3799036223488 3858396164480 3865364971520 4251901468672 4489770082304 4559922739840 4594183340032 4665967454720 4748795279360 5015915013824 5314876835840 5429489401856 5612212602880 5742729175040 6173433863168 6269893767280 6541386874880 6786861752320 6907338588160 6944695746560 7295876383744 7465547927552 7598072446976 7716792328960 7730729943040 8503802937344 8979540164608 9119845479680 9331934909440 9497590558720 10031830027648 10629753671680 11224425205760 11485458350080 12346867726336 12539787534560 13573723504640 14591752767488 14931095855104 15196144893952 15433584657920 17007605874688 17959080329216 18239690959360 18663869818880 18995181117440 20063660055296 21259507343360 22448850411520 22970916700160 24693735452672 25079575069120 27147447009280 29183505534976 29862191710208 30867169315840 36479381918720 37327739637760 37990362234880 40127320110592 42519014686720 44897700823040 49387470905344 50159150138240 58367011069952 59724383420416 61734338631680 72958763837440 74655479275520 75980724469760 80254640221184 85038029373440 89795401646080 98774941810688 100318300276480 116734022139904 123468677263360 145917527674880 149310958551040 160509280442368 197549883621376 200636600552960 233468044279808 246937354526720 291835055349760 298621917102080 321018560884736 401273201105920 493874709053440 583670110699520 642037121769472 802546402211840 987749418106880 1167340221399040 1284074243538944 1605092804423680 2568148487077888 3210185608847360 6420371217694720 12840742435389440
- Sum of all divisors σ(n): 37518629043185640
- Sum of proper divisors (its aliquot sum) s(n): 24677886607796200
- 12840742435389440 is an abundant number, because the sum of its proper divisors (24677886607796200) is greater than itself. Its abundance is 11837144172406760
Bases of 12840742435389440
- Binary: 1011011001111010010110010100111000001110000000000000002
- Hexadecimal: 0x2D9E9653838000
- Base-36: 3IFNVMZVW8W
Squares and roots of 12840742435389440
- 12840742435389440 squared (128407424353894402) is 164884666292011126692924463513600
- 12840742435389440 cubed (128407424353894403) is 2117241531400854060458757186067985222686736384000
-
The
square root of 12840742435389440 is 113316999.7634487319 -
The
cube root of 12840742435389440 is 234169.3470321905
Scales and comparisons
How big is 12840742435389440?- 12,840,742,435,389,440 seconds is equal to 408,295,890 years, 21 weeks, 6 days, 7 hours, 17 minutes, 20 seconds.
-
To count from 1 to 12,840,742,435,389,440 would take you about one billion, two hundred twenty-four million, eight hundred eighty-seven thousand, six hundred seventy-one 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 12840742435389440 cubic inches would be around 19514.1 feet tall.
Recreational maths with 12840742435389440
- 12840742435389440 backwards is 04498353424704821
- The number of decimal digits it has is: 17
- The sum of 12840742435389440's digits is 68
- More coming soon!
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"Number 12840742435389440 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 12840742435389440 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/12840742435389440/
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Numbermatics. 2024. "Number 12840742435389440 - Facts about the integer". https://numbermatics.com/n/12840742435389440/
The information we have on file for 12840742435389440 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 12840742435389440, math, Factors of 12840742435389440, curriculum, school, college, exams, university, Prime factorization of 12840742435389440, STEM, science, technology, engineering, physics, economics, calculator, twelve quadrillion, eight hundred forty trillion, seven hundred forty-two billion, four hundred thirty-five million, three hundred eighty-nine thousand, four hundred forty.