42426101808288
42,426,101,808,288 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42426101808288 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
42426101808288 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42426101808288:
25 × 32 × 11 × 19 × 29 × 37 × 601 × 1093
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 19 × 29 × 37 × 601 × 1093)See below for interesting mathematical facts about the number 42426101808288 from the Numbermatics database.
Names of 42426101808288
- Cardinal: 42426101808288 can be written as Forty-two trillion, four hundred twenty-six billion, one hundred one million, eight hundred eight thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 4.2426101808288 × 1013
Factors of 42426101808288
Divisors of 42426101808288
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 29 32 33 36 37 38 44 48 57 58 66 72 74 76 87 88 96 99 111 114 116 132 144 148 152 171 174 176 198 209 222 228 232 261 264 288 296 304 319 333 342 348 352 396 407 418 444 456 464 522 528 551 592 601 608 627 638 666 684 696 703 792 814 836 888 912 928 957 1044 1056 1073 1093 1102 1184 1202 1221 1254 1276 1332 1368 1392 1406 1584 1628 1653 1672 1776 1803 1824 1881 1914 2088 2109 2146 2186 2204 2404 2442 2508 2552 2664 2736 2784 2812 2871 3168 3219 3256 3279 3306 3344 3552 3606 3663 3762 3828 4176 4218 4292 4372 4408 4808 4884 4959 5016 5104 5328 5409 5472 5624 5742 6061 6327 6438 6512 6558 6611 6612 6688 7212 7326 7524 7656 7733 8352 8436 8584 8744 8816 9616 9657 9768 9837 9918 10032 10208 10656 10818 11248 11419 11484 11803 12023 12122 12654 12876 13024 13116 13222 13224 14424 14652 15048 15312 15466 16872 17168 17429 17488 17632 18183 19232 19314 19536 19674 19833 19836 20064 20387 20767 21636 22237 22496 22838 22968 23199 23606 24046 24244 25308 25752 26232 26444 26448 28848 29304 30096 30624 30932 31697 33744 34257 34336 34858 34976 35409 36069 36366 38628 39072 39348 39666 39672 40441 40774 41534 43272 44474 45676 45936 46398 47212 48092 48488 50616 51504 52287 52464 52888 52896 54549 57696 58608 59499 60192 61161 61864 62301 63394 66711 67488 68514 69597 69716 70818 72138 72732 77256 78696 79332 79344 80882 81548 83068 86544 88948 91352 91872 92796 94424 95091 96184 96976 101232 102771 103008 104574 104928 105776 106227 108207 109098 117216 118998 121323 122322 123728 124602 125609 126788 133422 137028 139194 139432 141636 144276 145464 154512 156861 157392 158664 158688 161764 163096 166136 173088 177896 182704 183483 185592 186903 188848 190182 191719 192368 193952 200133 202464 205542 209148 211552 212454 216414 218196 224257 228437 237996 242646 244607 244644 247456 249204 251218 253576 266844 274056 278388 278864 283272 285273 288552 290928 309024 313722 314784 317328 323528 326192 331151 332272 348667 355792 363969 365408 366966 371184 373806 376827 377696 380364 383438 384736 400266 411084 418296 422503 424908 432828 436392 444851 448514 456874 475992 485292 489214 489288 498408 502436 507152 533688 548112 556776 557728 566544 570546 575157 577104 581856 602243 627444 634656 644873 647056 652384 656893 662302 664544 672771 685311 697334 711584 727938 733821 733932 742368 747612 753654 760728 766876 768379 800532 822168 836592 845006 849816 865656 872784 889702 897028 913748 951984 970584 978428 978576 993453 996816 1004872 1014304 1046001 1067376 1096224 1113552 1130481 1133088 1141092 1150314 1154208 1172789 1204486 1254888 1267509 1289746 1294112 1313786 1324604 1334553 1345542 1370622 1394668 1455876 1467642 1467864 1495224 1507308 1521456 1533752 1536758 1601064 1644336 1673184 1690012 1699632 1725471 1731312 1745568 1779404 1794056 1806729 1827496 1903968 1934619 1941168 1956856 1957152 1970679 1986906 1993632 2009744 2018313 2055933 2092002 2134752 2201463 2227104 2260962 2282184 2300628 2305137 2345578 2408972 2509776 2535018 2579492 2627572 2649208 2669106 2691084 2741244 2789336 2911752 2935284 2935728 2980359 2990448 3014616 3042912 3067504 3073516 3138003 3202128 3288672 3380024 3399264 3450942 3462624 3518367 3558808 3588112 3613458 3642661 3654992 3802527 3869238 3882336 3913712 3941358 3973812 4003659 4019488 4036626 4111866 4184004 4402926 4521924 4564368 4601256 4610274 4647533 4691156 4817944 5019552 5070036 5158984 5255144 5298416 5338212 5382168 5420187 5482488 5578672 5803857 5823504 5870568 5871456 5912037 5960718 5980896 6029232 6135008 6147032 6276006 6404256 6624673 6760048 6901884 6915411 7036734 7093603 7117616 7176224 7225823 7226916 7285322 7309984 7605054 7738476 7827424 7882716 7947624 8007318 8073252 8223732 8368008 8452169 8805852 9043848 9128736 9202512 9220548 9295066 9382312 9635888 10140072 10317968 10510288 10555101 10596832 10676424 10764336 10840374 10927983 10964976 11157344 11607714 11647008 11741136 11824074 11921436 12058464 12252587 12294064 12480967 12552012 12900679 13249346 13520096 13803768 13830822 13942599 14073468 14187206 14235232 14451646 14453832 14570644 15210108 15476952 15765432 15895248 16014636 16146504 16447464 16736016 16904338 17611704 18087696 18405024 18441096 18590132 18764624 19049897 19271776 19874019 20280144 20635936 21020576 21110202 21280809 21352848 21528672 21677469 21680748 21855966 21929952 22282991 23215428 23482272 23648148 23842872 24305041 24505174 24588128 24961934 25104024 25356507 25801358 26498692 27607536 27661644 27885198 28146936 28374412 28903292 28907664 29141288 30420216 30953904 31530864 31790496 32029272 32293008 32783949 32894928 33472032 33808676 35223408 36175392 36757761 36882192 37180264 37442901 37529248 38099794 38702037 39748038 40560288 41827797 42220404 42561618 42705696 43354938 43361496 43711932 44565982 46430856 47296296 47685744 48610082 49010348 49923868 50208048 50713014 51602716 52997384 55215072 55323288 55770396 56293872 56748824 57149691 57806584 57815328 58282576 59622057 60840432 61907808 63061728 63842427 64058544 64586016 65032407 65567898 65789856 66848973 67617352 70446816 72915123 73515522 73764384 74360528 74885802 76069521 76199588 77404074 79496076 83655594 84440808 85123236 86709876 86722992 87423864 89131964 92861712 94592592 95371488 97220164 98020696 99847736 100416096 101426028 103205432 105994768 110273283 110646576 111540792 112328703 112587744 113497648 114299382 115613168 116106111 116565152 119244114 121680864 127684854 128117088 130064814 131135796 133697946 134778457 135234704 137290637 145830246 147031044 148721056 149771604 152139042 152399176 154808148 158992152 167311188 168881616 170246472 171449073 173419752 173445984 174847728 178263928 185723424 189185184 194440328 196041392 199695472 200546919 202852056 206410864 209548867 211989536 218745369 220546566 221293152 223081584 224657406 226995296 228598764 231226336 232212222 238488228 245112901 255369708 260129628 262271592 267355451 267395892 269556914 270469408 274581274 291660492 294062088 299543208 304278084 304798352 309616296 317984304 334622376 337763232 340492944 342898146 346839504 349695456 356527856 361948043 388880656 392082784 399390944 401093838 404335371 405704112 411871911 412821728 419097734 437490738 441093132 446163168 449314812 457197528 461795779 464424444 476976456 490225802 510739416 520259256 524543184 534710902 534791784 539113828 549162548 583320984 588124176 599086416 608556168 609596704 619232592 628646601 635968608 669244752 680985888 685796292 693679008 704846189 713055712 723896086 735338703 777761312 802066353 802187676 808670742 811408224 823743822 838195468 874981476 882186264 898629624 914395056 923591558 928848888 953952912 980451604 1021478832 1040518512 1049086368 1069421804 1069583568 1078227656 1085844129 1098325096 1166641968 1176248352 1198172832 1213006113 1217112336 1235615733 1238465184 1257293202 1338489504 1371592584 1385387337 1409692378 1447792172 1470677406 1604132706 1604375352 1617341484 1647487644 1676390936 1749962952 1764372528 1797259248 1828790112 1847183116 1857697776 1885939803 1907905824 1960903208 2042957664 2081037024 2114538567 2138843608 2139167136 2156455312 2171688258 2196650192 2206016109 2333283936 2406199059 2426012226 2434224672 2471231466 2514586404 2743185168 2770774674 2819384756 2895584344 2941354812 3208265412 3208750704 3234682968 3257532387 3294975288 3352781872 3499925904 3528745056 3594518496 3694366232 3715395552 3771879606 3921806416 3981428473 4156162011 4229077134 4277687216 4312910624 4343376516 4393300384 4412032218 4812398118 4852024452 4942462932 5029172808 5079753569 5486370336 5541549348 5638769512 5791168688 5882709624 6343615701 6416530824 6417501408 6469365936 6515064774 6589950576 6705563744 6999851808 7388732464 7543759212 7753308079 7843612832 7962856946 8312324022 8458154268 8555374432 8686753032 8824064436 9624796236 9704048904 9884925864 10058345616 10159507138 11083098696 11277539024 11582337376 11765419248 11944285419 12687231402 12833061648 12938731872 13030129548 13179901152 13392077591 14777464928 15087518424 15239260707 15506616158 15925713892 16624648044 16916308536 17373506064 17648128872 19249592472 19408097808 19769851728 20116691232 20319014276 22166197392 22555078048 23259924237 23530838496 23888570838 25374462804 25666123296 26060259096 26784155182 30175036848 30478521414 31013232316 31851427784 33249296088 33832617072 34747012128 35296257744 35832856257 38499184944 38816195616 39539703456 40176232773 40638028552 44332394784 45717782121 46519848474 47777141676 50748925608 52120518192 53568310364 60350073696 60957042828 62026464632 63702855568 66498592176 67665234144 69779772711 70592515488 71665712514 76998369888 80352465546 81276057104 91435564242 93039696948 95554283352 101497851216 104241036384 107136620728 120528698319 121914085656 124052929264 127405711136 132997184352 139559545422 143331425028 147312853501 160704931092 162552114208 182871128484 186079393896 191108566704 202995702432 214273241456 241057396638 243828171312 248105858528 279119090844 286662850056 294625707002 321409862184 365742256968 372158787792 382217133408 428546482912 441938560503 482114793276 487656342624 558238181688 573325700112 589251414004 642819724368 731484513936 744317575584 883877121006 964229586552 1116476363376 1146651400224 1178502828008 1285639448736 1325815681509 1462969027872 1767754242012 1928459173104 2232952726752 2357005656016 2651631363018 3535508484024 3856918346208 4714011312032 5303262726036 7071016968048 10606525452072 14142033936096 21213050904144 42426101808288
- Sum of all divisors σ(n): 147575345299200
- Sum of proper divisors (its aliquot sum) s(n): 105149243490912
- 42426101808288 is an abundant number, because the sum of its proper divisors (105149243490912) is greater than itself. Its abundance is 62723141682624
Bases of 42426101808288
- Binary: 10011010010110000110001011101000111100101000002
- Hexadecimal: 0x269618BA3CA0
- Base-36: F1EA5LUW0
Squares and roots of 42426101808288
- 42426101808288 squared (424261018082882) is 1799974114647218303505490944
- 42426101808288 cubed (424261018082883) is 76365885040305940293543400948575608143872
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The
square root of 42426101808288 is 6513532.2067437419 -
The
cube root of 42426101808288 is 34877.4220374397
Scales and comparisons
How big is 42426101808288?- 42,426,101,808,288 seconds is equal to 1,349,018 years, 41 weeks, 6 days, 4 minutes, 48 seconds.
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To count from 1 to 42,426,101,808,288 would take you about three million, three hundred seventy-two thousand, five hundred forty-seven 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 42426101808288 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42426101808288
- 42426101808288 backwards is 88280810162424
- The number of decimal digits it has is: 14
- The sum of 42426101808288's digits is 54
- More coming soon!
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The information we have on file for 42426101808288 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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