42542520730440480
42,542,520,730,440,480 is an even composite number composed of five prime numbers multiplied together.
What does the number 42542520730440480 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
42542520730440480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 42542520730440480:
25 × 36 × 5 × 1573 × 3072
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 157 × 157 × 157 × 307 × 307)See below for interesting mathematical facts about the number 42542520730440480 from the Numbermatics database.
Names of 42542520730440480
- Cardinal: 42542520730440480 can be written as Forty-two quadrillion, five hundred forty-two trillion, five hundred twenty billion, seven hundred thirty million, four hundred forty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.254252073044048 × 1016
Factors of 42542520730440480
Divisors of 42542520730440480
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 157 160 162 180 216 240 243 270 288 307 314 324 360 405 432 471 480 486 540 614 628 648 720 729 785 810 864 921 942 972 1080 1215 1228 1256 1296 1413 1440 1458 1535 1570 1620 1842 1884 1944 2160 2355 2430 2456 2512 2592 2763 2826 2916 3070 3140 3240 3645 3684 3768 3888 4239 4320 4605 4710 4860 4912 5024 5526 5652 5832 6140 6280 6480 7065 7290 7368 7536 7776 8289 8478 9210 9420 9720 9824 11052 11304 11664 12280 12560 12717 12960 13815 14130 14580 14736 15072 16578 16956 18420 18840 19440 21195 22104 22608 23328 24560 24649 24867 25120 25434 27630 28260 29160 29472 33156 33912 36840 37680 38151 38880 41445 42390 44208 45216 48199 49120 49298 49734 50868 55260 56520 58320 63585 66312 67824 73680 73947 74601 75360 76302 82890 84780 88416 94249 96398 98596 99468 101736 110520 113040 114453 116640 123245 124335 127170 132624 135648 144597 147360 147894 149202 152604 165780 169560 188498 190755 192796 197192 198936 203472 221040 221841 223803 226080 228906 240995 246490 248670 254340 265248 282747 289194 295788 298404 305208 331560 339120 369735 373005 376996 381510 385592 394384 397872 406944 433791 442080 443682 447606 457812 471245 481990 492980 497340 508680 565494 572265 578388 591576 596808 610416 663120 665523 678240 722985 739470 746010 753992 763020 771184 788768 795744 848241 867582 887364 895212 915624 942490 963980 985960 994680 1017360 1109205 1119015 1130988 1144530 1156776 1183152 1193616 1220832 1301373 1326240 1331046 1413735 1445970 1478940 1492020 1507984 1526040 1542368 1696482 1735164 1774728 1790424 1831248 1884980 1927960 1971920 1989360 1996569 2034720 2168955 2218410 2238030 2261976 2289060 2313552 2366304 2387232 2544723 2602746 2662092 2827470 2891940 2957880 2984040 3015968 3052080 3327615 3392964 3470328 3549456 3580848 3662496 3769960 3855920 3869893 3904119 3943840 3978720 3993138 4241205 4337910 4436820 4476060 4523952 4578120 4627104 5089446 5205492 5324184 5654940 5783880 5915760 5968080 5989707 6104160 6506865 6655230 6785928 6940656 7098912 7161696 7539920 7567243 7634169 7711840 7739786 7808238 7986276 8482410 8675820 8873640 8952120 9047904 9156240 9982845 10178892 10410984 10648368 11309880 11567760 11609679 11712357 11831520 11936160 11979414 12723615 13013730 13310460 13571856 13881312 14797093 15079840 15134486 15268338 15479572 15616476 15972552 16964820 17351640 17747280 17904240 17969121 18312480 19349465 19520595 19965690 20357784 20821968 21296736 22619760 22701729 22902507 23135520 23219358 23424714 23958828 25447230 26027460 26620920 27143712 29594186 29948535 30268972 30536676 30959144 31232952 31945104 33929640 34703280 34829037 35137071 35494560 35808480 35938242 37836215 38170845 38698930 39041190 39931380 40715568 41643936 44391279 45239520 45403458 45805014 46438716 46849428 47917656 50894460 52054920 53241840 58048395 58561785 59188372 59897070 60537944 61073352 61918288 62465904 63890208 67859280 68105187 68707521 69406560 69658074 70274142 71876484 73985465 75672430 76341690 77397860 78082380 79862760 81431136 88782558 89845605 90806916 91610028 92877432 93698856 95835312 101788920 104109840 104487111 106483680 113508645 114512535 116096790 117123570 118376744 119794140 121075888 122146704 123836576 124931808 133173837 135718560 136210374 137415042 139316148 140548284 143752968 147970930 151344860 152683380 154795720 156164760 159725520 174145185 175685355 177565116 179691210 181613832 183220056 185754864 187397712 191670624 203577840 204315561 208219680 208974222 221956395 227017290 229025070 232193580 234247140 236753488 239588280 242151776 244293408 266347674 272420748 274830084 278632296 281096568 287505936 295941860 302689720 305366760 309591440 312329520 313461333 319451040 340525935 343537605 348290370 351370710 355130232 359382420 363227664 366440112 371509728 374795424 399521511 407155680 408631122 417948444 443912790 454034580 458050140 464387160 468494280 473506976 479176560 522435555 532695348 544841496 549660168 557264592 562193136 575011872 591883720 605379440 610733520 612946683 619182880 624659040 626922666 665869185 681051870 687075210 696580740 702741420 710260464 718764840 726455328 732880224 799043022 817262244 835896888 887825580 908069160 916100280 928774320 936988560 940383999 958353120 1021577805 1044871110 1065390696 1089682992 1099320336 1114529184 1124386272 1183767440 1188057151 1198564533 1210758880 1221467040 1225893366 1253845332 1331738370 1362103740 1374150420 1393161480 1405482840 1420520928 1437529680 1567306665 1598086044 1634524488 1671793776 1775651160 1816138320 1832200560 1838840049 1857548640 1873977120 1880767998 1997607555 2043155610 2089742220 2130781392 2179365984 2198640672 2323143601 2367534880 2376114302 2397129066 2451786732 2507690664 2663476740 2724207480 2748300840 2786322960 2810965680 2821151997 2875059360 3064733415 3134613330 3196172088 3269048976 3343587552 3551302320 3564171453 3595693599 3632276640 3664401120 3677680098 3761535996 3995215110 4086311220 4179484440 4261562784 4646287202 4701919995 4752228604 4794258132 4903573464 5015381328 5326953480 5448414960 5496601680 5516520147 5572645920 5621931360 5642303994 5940285755 5992822665 6129466830 6269226660 6392344176 6538097952 6969430803 7102604640 7128342906 7191387198 7355360196 7523071992 7990430220 8172622440 8358968880 9194200245 9292574404 9403839990 9504457208 9588516264 9807146928 10030762656 10653906960 10692514359 10787080797 10896829920 10993203360 11033040294 11284607988 11615718005 11880571510 11985645330 12258933660 12538453320 12784688352 13938861606 14105759985 14256685812 14382774396 14710720392 15046143984 15980860440 16345244880 16717937760 17820857265 17978467995 18388400490 18585148808 18807679980 19008914416 19177032528 19614293856 20908292409 21307813920 21385028718 21574161594 22066080588 22569215976 23231436010 23761143020 23971290660 24517867320 25076906640 27582600735 27877723212 28211519970 28513371624 28765548792 29421440784 30092287968 31961720880 32077543077 32690489760 34847154015 35641714530 35956935990 36776800980 37170297616 37615359960 38017828832 38354065056 41816584818 42770057436 43148323188 44132161176 45138431952 46462872020 47522286040 47942581320 49035734640 50153813280 53462571795 53935403985 55165201470 55755446424 56423039940 57026743248 57531097584 58842881568 62724877227 63923441760 64155086154 69694308030 71283429060 71913871980 73553601960 74340595232 75230719920 83633169636 85540114872 86296646376 88264322352 90276863904 92925744040 95044572080 95885162640 96232629231 98071469280 104541462045 106925143590 107870807970 110330402940 111510892848 112846079880 114053486496 115062195168 125449754454 128310172308 139388616060 142566858120 143827743960 147107203920 150461439840 160387715385 167266339272 171080229744 172593292752 176528644704 185851488080 188174631681 190089144160 191770325280 192465258462 209082924090 213850287180 215741615940 220660805880 223021785696 225692159760 250899508908 256620344616 278777232120 285133716240 287655487920 288697887693 294214407840 313624386135 320775430770 334532678544 342160459488 345186585504 364733545357 371702976160 376349263362 384930516924 418165848180 427700574360 431483231880 441321611760 451384319520 481163146155 501799017816 513240689232 557554464240 564523895043 570267432480 575310975840 577395775386 627248772270 641550861540 669065357088 729467090714 752698526724 769861033848 836331696360 855401148720 862966463760 866093663079 882643223520 940873158405 962326292310 1003598035632 1026481378464 1094200636071 1115108928480 1129047790086 1154791550772 1254497544540 1283101723080 1443489438465 1458934181428 1505397053448 1539722067696 1672663392720 1693571685129 1710802297440 1725932927520 1732187326158 1823667726785 1881746316810 1924652584620 2007196071264 2188401272142 2258095580172 2309583101544 2508995089080 2566203446160 2822619475215 2886978876930 2917868362856 3010794106896 3079444135392 3282601908213 3345326785440 3387143370258 3464374652316 3647335453570 3763492633620 3849305169240 4330468315395 4376802544284 4516191160344 4619166203088 5017990178160 5132406892320 5471003180355 5645238950430 5773957753860 5835736725712 6021588213792 6565203816426 6774286740516 6928749304632 7294670907140 7526985267240 7698610338480 8467858425645 8660936630790 8753605088568 9032382320688 9238332406176 9847805724639 10035980356320 10942006360710 11290477900860 11547915507720 11671473451424 13130407632852 13548573481032 13857498609264 14589341814280 15053970534480 15397220676960 16413009541065 16935716851290 17321873261580 17507210177136 18064764641376 19695611449278 21884012721420 22580955801720 23095831015440 26260815265704 27097146962064 27714997218528 29178683628560 29543417173917 30107941068960 32826019082130 33871433702580 34643746523160 35014420354272 39391222898556 43768025442840 45161911603440 46191662030880 49239028623195 52521630531408 54194293924128 58357367257120 59086834347834 65652038164260 67742867405160 69287493046320 78782445797112 87536050885680 88630251521751 90323823206880 98478057246390 105043261062816 118173668695668 131304076328520 135485734810320 138574986092640 147717085869585 157564891594224 175072101771360 177260503043502 196956114492780 236347337391336 262608152657040 265890754565253 270971469620640 295434171739170 315129783188448 354521006087004 393912228985560 443151257608755 472694674782672 525216305314080 531781509130506 590868343478340 709042012174008 787824457971120 886302515217510 945389349565344 1063563018261012 1181736686956680 1329453772826265 1418084024348016 1575648915942240 1772605030435020 2127126036522024 2363473373913360 2658907545652530 2836168048696032 3545210060870040 4254252073044048 4726946747826720 5317815091305060 7090420121740080 8508504146088096 10635630182610120 14180840243480160 21271260365220240 42542520730440480
- Sum of all divisors σ(n): 152152697839476600
- Sum of proper divisors (its aliquot sum) s(n): 109610177109036120
- 42542520730440480 is an abundant number, because the sum of its proper divisors (109610177109036120) is greater than itself. Its abundance is 67067656378595640
Bases of 42542520730440480
- Binary: 100101110010010000110010011110111111110011010011001000002
- Hexadecimal: 0x9724327BFCD320
- Base-36: BMW2C7VKI00
Squares and roots of 42542520730440480
- 42542520730440480 squared (425425207304404802) is 1809866070099957991962494822630400
- 42542520730440480 cubed (425425207304404803) is 76996264806548305851751238870571104847664238592000
-
The
square root of 42542520730440480 is 206258383.4185667227 -
The
cube root of 42542520730440480 is 349092.9458287997
Scales and comparisons
How big is 42542520730440480?- 42,542,520,730,440,480 seconds is equal to 1,352,720,566 years, 29 weeks, 4 days, 22 hours, 48 minutes.
-
To count from 1 to 42,542,520,730,440,480 would take you about four billion, fifty-eight million, one hundred sixty-one thousand, six hundred ninety-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 42542520730440480 cubic inches would be around 29091.1 feet tall.
Recreational maths with 42542520730440480
- 42542520730440480 backwards is 08404403702524524
- 42542520730440480 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42542520730440480's digits is 54
- More coming soon!
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The information we have on file for 42542520730440480 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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