42201513007680
42,201,513,007,680 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42201513007680 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1344 divisors.
42201513007680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42201513007680:
26 × 3 × 5 × 132 × 31 × 37 × 241 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 31 × 37 × 241 × 941)See below for interesting mathematical facts about the number 42201513007680 from the Numbermatics database.
Names of 42201513007680
- Cardinal: 42201513007680 can be written as Forty-two trillion, two hundred one billion, five hundred thirteen million, seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.220151300768 × 1013
Factors of 42201513007680
Divisors of 42201513007680
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 32 37 39 40 48 52 60 62 64 65 74 78 80 93 96 104 111 120 124 130 148 155 156 160 169 185 186 192 195 208 222 240 241 248 260 296 310 312 320 338 370 372 390 403 416 444 465 480 481 482 496 507 520 555 592 620 624 676 723 740 744 780 806 832 845 888 930 941 960 962 964 992 1014 1040 1110 1147 1184 1205 1209 1240 1248 1352 1443 1446 1480 1488 1560 1612 1690 1776 1860 1882 1924 1928 1984 2015 2028 2080 2220 2294 2368 2405 2410 2418 2480 2496 2535 2704 2823 2886 2892 2960 2976 3120 3133 3224 3380 3441 3552 3615 3720 3764 3848 3856 4030 4056 4160 4440 4588 4705 4810 4820 4836 4960 5070 5239 5408 5646 5735 5772 5784 5920 5952 6045 6240 6253 6266 6448 6760 6882 7104 7215 7230 7440 7471 7528 7696 7712 8060 8112 8880 8917 9176 9399 9410 9620 9640 9672 9920 10140 10478 10816 11292 11470 11544 11568 11840 12090 12233 12480 12506 12532 12896 13520 13764 14115 14430 14460 14880 14911 14942 15056 15392 15424 15665 15717 16120 16224 17205 17760 17834 18352 18759 18798 18820 19240 19280 19344 20280 20956 22413 22584 22940 23088 23136 24180 24466 25012 25064 25792 26195 26751 27040 27528 28230 28860 28920 29171 29760 29822 29884 30112 30784 31265 31330 31434 32240 32448 34410 34817 35520 35668 36699 36704 37355 37518 37596 37640 38480 38560 38688 40560 40729 41912 44585 44733 44826 45168 45880 46176 46272 46995 48360 48932 50024 50128 52390 53502 54080 55056 56460 57720 57840 58342 59644 59768 60224 61165 62530 62660 62868 64480 68820 69634 71336 73398 73408 74555 74710 75036 75192 75280 76960 77120 77376 78585 81120 81458 83824 87513 89170 89466 89652 90336 91760 92352 93795 93990 96720 97123 97864 100048 100256 104451 104780 107004 110112 112065 112920 115440 115680 115921 116684 119288 119536 122187 122330 125060 125320 125736 128960 133755 137640 139268 142672 145855 146796 149110 149420 150072 150384 150560 153920 157170 159029 162240 162916 167648 174085 175026 178340 178932 179304 180672 183495 183520 187590 187980 193440 193843 194246 195728 200096 200512 203645 208902 209560 214008 220224 223665 224130 225840 226781 230880 231360 231842 233368 238576 239072 244374 244660 250120 250640 251472 267510 275280 276427 278536 285344 291369 291710 293592 298220 298840 300144 300768 301120 314340 318058 325832 335296 347763 348170 350052 356680 357864 358608 366990 367040 375180 375960 379223 386880 387686 388492 391456 400192 407290 417804 419120 428016 437565 447330 448260 451680 452621 453562 461760 463684 466736 477087 477152 478144 485615 488748 489320 500240 501280 502944 522255 535020 550560 552854 557072 570688 579605 581529 582738 583420 587184 596440 597680 600288 601536 610935 628680 636116 651664 680343 695526 696340 700104 713360 715728 717216 733980 750360 751920 758446 775372 776984 782912 795145 814580 829281 835608 838240 856032 875130 894660 896520 903360 905242 907124 927368 933472 954174 954304 969215 971230 977496 978640 1000480 1002560 1005888 1044510 1070040 1079327 1101120 1105708 1114144 1133905 1137669 1159210 1163058 1165476 1166840 1174368 1192880 1195360 1200576 1221870 1257360 1262599 1272232 1303328 1357863 1360686 1382135 1391052 1392680 1400208 1426720 1431456 1434432 1456845 1467960 1500720 1503840 1506973 1516892 1550744 1553968 1590290 1629160 1658562 1671216 1676480 1712064 1738815 1750260 1789320 1793040 1810484 1814248 1854736 1866944 1896115 1908348 1938430 1942460 1954992 1957280 2000960 2089020 2140080 2158654 2211416 2228288 2263105 2267810 2275338 2318420 2326116 2330952 2333680 2348736 2385435 2385760 2390720 2443740 2514720 2525198 2544464 2606656 2715726 2721372 2764270 2782104 2785360 2800416 2853440 2862912 2907645 2913690 2935920 2948153 3001440 3007680 3013946 3033784 3101488 3107936 3180580 3237981 3258320 3317124 3342432 3401715 3477630 3500520 3578640 3586080 3593551 3620968 3628496 3709472 3787797 3792230 3816696 3876860 3884920 3909984 3914560 4146405 4178040 4280160 4317308 4422832 4520919 4526210 4535620 4550676 4636840 4652232 4661904 4667360 4770870 4771520 4887480 4929899 5029440 5050396 5088928 5396635 5431452 5442744 5528540 5564208 5570720 5600832 5688345 5815290 5827380 5871840 5884073 5896306 6002880 6027892 6067568 6202976 6215872 6312995 6361160 6475962 6516640 6634248 6684864 6789315 6803430 6955260 7001040 7030211 7157280 7172160 7187102 7241936 7256992 7418944 7534865 7575594 7584460 7633392 7753720 7769840 7819968 8292810 8356080 8390897 8560320 8634616 8844459 8845664 9041838 9052420 9071240 9101352 9273680 9304464 9323808 9334720 9541740 9774960 9859798 10100792 10177856 10780653 10793270 10862904 10885488 11057080 11128416 11141440 11376690 11630580 11654760 11743680 11768146 11792612 12055784 12135136 12405952 12625990 12722320 12951924 13033280 13268496 13578630 13606860 13910520 14002080 14031251 14060422 14314560 14374204 14483872 14513984 14740765 14789697 15069730 15151188 15168920 15266784 15507440 15539680 16189905 16585620 16712160 16781794 17269232 17652219 17688918 17691328 17967755 18083676 18104840 18142480 18202704 18547360 18608928 18647616 18938985 19083480 19549920 19719596 20201584 21090633 21561306 21586540 21725808 21770976 22114160 22256832 22604595 22753380 23261160 23309520 23536292 23585224 24111568 24270272 24649495 25172691 25251980 25444640 25903848 26536992 27157260 27213720 27821040 28004160 28062502 28120844 28748408 28967744 29420365 29481530 29579394 30139460 30302376 30337840 30533568 31014880 31079360 32379810 33171240 33424320 33563588 34538464 35151055 35304438 35377836 35935510 36167352 36209680 36284960 36405408 37094720 37217856 37877970 38166960 38325989 39099840 39439192 40403168 41954485 42093753 42181266 43122612 43173080 43451616 43541952 44222295 44228320 45209190 45506760 46522320 46619040 46716163 47072584 47170448 48223136 49298990 50345382 50503960 50889280 51807696 53073984 53903265 54314520 54427440 55642080 56125004 56241688 57496816 58840730 58963060 59158788 60278920 60604752 60675680 62029760 64759620 66342480 67127176 69076928 70156255 70302110 70608876 70755672 71871020 72334704 72419360 72569920 72810816 73948485 75755940 76333920 76651978 78878384 80806336 83908970 84187506 84362532 86245224 86346160 86903232 88261095 88444590 88456640 90418380 91013520 91392743 93044640 93238080 93432326 94145168 94340896 96446272 98597980 100690764 101007920 103615392 105453165 107806530 108629040 108854880 109081661 111284160 112250008 112483376 114977967 114993632 117681460 117926120 118317576 120557840 121209504 121351360 125863455 129519240 132684960 134254352 140148489 140312510 140604220 141217752 141511344 143742040 144669408 144838720 147896970 151511880 152667840 153303956 157756768 167817940 168375012 168725064 172490448 172692320 176522190 176889180 180836760 182027040 182406263 182785486 186089280 186864652 188290336 188681792 191629945 197195960 201381528 202015840 207230784 210468765 210906330 215613060 217258080 217709760 218163322 224500016 224966752 229955934 229987264 233580815 235362920 235852240 236635152 241115680 242419008 251726910 259038480 260117807 265369920 268508704 274178229 280296978 280625020 281208440 282435504 283022688 287484080 289338816 295793940 303023760 306607912 315513536 327244983 335635880 336750024 337450128 344980896 345384640 353044380 353778360 361673520 364054080 364812526 365570972 373729304 376580672 383259890 394391920 402763056 404031680 420937530 421812660 431226120 434516160 436326644 449000032 449933504 456963715 459911868 467161630 470725840 471704480 473270304 482231360 503453820 518076960 520235614 537017408 545408305 547218789 548356458 560593956 561250040 562416880 564871008 566045376 574889835 574968160 591587880 606047520 613215824 654489966 671271760 673500048 674900256 689961792 700742445 706088760 707556720 723347040 729625052 731141944 747458608 766519780 780353421 788783840 805526112 841875060 843625320 862452240 872653288 898000064 912031315 913927430 919823736 934323260 941451680 943408960 946540608 1006907640 1036153920 1040471228 1090816610 1094437578 1096712916 1121187912 1122500080 1124833760 1129742016 1149779670 1149936320 1183175760 1188105659 1212095040 1226431648 1300589035 1308979932 1342543520 1347000096 1349800512 1370891145 1401484890 1412177520 1415113440 1418061593 1446694080 1459250104 1462283888 1494917216 1533039560 1560706842 1577567680 1611052224 1636224915 1683750120 1687250640 1724904480 1745306576 1824062630 1827854860 1839647472 1868646520 1882903360 2013815280 2080942456 2181633220 2188875156 2193425832 2242375824 2245000160 2249667520 2299559340 2366351520 2376211318 2452863296 2601178070 2617959864 2685087040 2694000192 2736093945 2741782290 2802969780 2824355040 2830226880 2836123186 2918500208 2924567776 2989834432 3066079120 3121413684 3272449830 3367500240 3374501280 3381531491 3449808960 3490613152 3564316977 3648125260 3655709720 3679294944 3737293040 3901767105 4027630560 4161884912 4254184779 4363266440 4377750312 4386851664 4484751648 4490000320 4599118680 4732703040 4752422636 5202356140 5235919728 5472187890 5483564580 5605939560 5648710080 5672246372 5837000416 5849135552 5940528295 6132158240 6242827368 6544899660 6735000480 6749002560 6763062982 6981226304 7090307965 7128633954 7296250520 7311419440 7358589888 7474586080 7803534210 8055261120 8323769824 8508369558 8726532880 8755500624 8773703328 8969503296 9198237360 9504845272 10144594473 10404712280 10471839456 10944375780 10967129160 11211879120 11344492744 11674000832 11881056590 12264316480 12485654736 13089799320 13470000960 13526125964 14180615930 14257267908 14592501040 14622838880 14949172160 15607068420 16647539648 16907657455 17016739116 17453065760 17511001248 17547406656 17821584885 18396474720 19009690544 20289188946 20809424560 20943678912 21270923895 21888751560 21934258320 22423758240 22688985488 23762113180 24971309472 26179598640 27052251928 28361231860 28514535816 29185002080 29245677760 31214136840 33815314910 34033478232 34906131520 35022002496 35643169770 36792949440 38019381088 40578377892 41618849120 42541847790 43777503120 43868516640 43959909383 44847516480 45377970976 47524226360 49942618944 50722972365 52359197280 54104503856 56722463720 57029071632 58370004160 62428273680 67630629820 68066956464 71286339540 76038762176 81156755784 83237698240 85083695580 87555006240 87737033280 87919818766 90755941952 95048452720 101445944730 104718394560 108209007712 113444927440 114058143264 124856547360 131879728149 135261259640 136133912928 142572679080 162313511568 170167391160 175110012480 175839637532 190096905440 202891889460 216418015424 219799546915 226889854880 228116286528 249713094720 263759456298 270522519280 272267825856 285145358160 324627023136 340334782320 351679275064 380193810880 405783778920 439599093830 453779709760 527518912596 541045038560 570290716320 649254046272 659398640745 680669564640 703358550128 811567557840 879198187660 1055037825192 1082090077120 1140581432640 1318797281490 1361339129280 1406717100256 1623135115680 1758396375320 2110075650384 2637594562980 2813434200512 3246270231360 3516792750640 4220151300768 5275189125960 7033585501280 8440302601536 10550378251920 14067171002560 21100756503840 42201513007680
- Sum of all divisors σ(n): 154620080879616
- Sum of proper divisors (its aliquot sum) s(n): 112418567871936
- 42201513007680 is an abundant number, because the sum of its proper divisors (112418567871936) is greater than itself. Its abundance is 70217054864256
Bases of 42201513007680
- Binary: 10011001100001110011100011000100011010010000002
- Hexadecimal: 0x2661CE311A40
- Base-36: EYJ3V8F9C
Squares and roots of 42201513007680
- 42201513007680 squared (422015130076802) is 1780967700137384239738982400
- 42201513007680 cubed (422015130076803) is 75159531563605754716394893321566584832000
-
The
square root of 42201513007680 is 6496269.1606552141 -
The
cube root of 42201513007680 is 34815.7702028975
Scales and comparisons
How big is 42201513007680?- 42,201,513,007,680 seconds is equal to 1,341,877 years, 29 weeks, 6 days, 14 hours, 8 minutes.
-
To count from 1 to 42,201,513,007,680 would take you about three million, three hundred fifty-four thousand, six hundred ninety-three 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 42201513007680 cubic inches would be around 2901.3 feet tall.
Recreational maths with 42201513007680
- 42201513007680 backwards is 08670031510224
- 42201513007680 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42201513007680's digits is 39
- More coming soon!
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"Number 42201513007680 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 42201513007680 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/42201513007680/
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The information we have on file for 42201513007680 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 42201513007680, math, Factors of 42201513007680, curriculum, school, college, exams, university, Prime factorization of 42201513007680, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, two hundred one billion, five hundred thirteen million, seven thousand, six hundred eighty.