13680588627922093488
13,680,588,627,922,093,488 is an even composite number composed of five prime numbers multiplied together.
13680588627922093488 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 13680588627922093488:
24 × 32 × 133 × 315 × 12292
(2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 31 × 31 × 31 × 31 × 31 × 1229 × 1229)See below for interesting mathematical facts about the number 13680588627922093488 from the Numbermatics database.
Names of 13680588627922093488
- Cardinal: 13680588627922093488 can be written as Thirteen quintillion, six hundred eighty quadrillion, five hundred eighty-eight trillion, six hundred twenty-seven billion, nine hundred twenty-two million, ninety-three thousand, four hundred eighty-eight.
Scientific notation
- Scientific notation: 1.3680588627922093488 × 1019
Factors of 13680588627922093488
Divisors of 13680588627922093488
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 169 186 208 234 248 279 312 338 372 403 468 496 507 558 624 676 744 806 936 961 1014 1116 1209 1229 1352 1488 1521 1612 1872 1922 2028 2197 2232 2418 2458 2704 2883 3042 3224 3627 3687 3844 4056 4394 4464 4836 4916 5239 5766 6084 6448 6591 7254 7374 7688 8112 8649 8788 9672 9832 10478 11061 11532 12168 12493 13182 14508 14748 15376 15717 15977 17298 17576 19344 19664 19773 20956 22122 23064 24336 24986 26364 29016 29496 29791 31434 31954 34596 35152 37479 38099 39546 41912 44244 46128 47151 47931 49972 52728 58032 58992 59582 62868 63908 68107 69192 74958 76198 79092 83824 88488 89373 94302 95862 99944 105456 112437 114297 119164 125736 127816 136214 138384 143793 149916 152396 158184 162409 176976 178746 188604 191724 199888 204321 207701 224874 228594 238328 251472 255632 268119 272428 287586 299832 304792 316368 324818 342891 357492 377208 383448 387283 408642 415402 449748 457188 476656 487227 495287 536238 544856 575172 599664 609584 612963 623103 649636 685782 714984 754416 766896 774566 817284 830804 899496 914376 923521 974454 990574 1072476 1089712 1150344 1161849 1181069 1225926 1246206 1299272 1371564 1429968 1461681 1485861 1510441 1549132 1634568 1661608 1798992 1828752 1847042 1869309 1948908 1981148 2111317 2144952 2300688 2323698 2362138 2451852 2492412 2598544 2700113 2743128 2770563 2923362 2971722 3020882 3098264 3269136 3323216 3485547 3543207 3694084 3738618 3897816 3962296 4222634 4289904 4457583 4531323 4647396 4724276 4903704 4984824 5034679 5400226 5486256 5541126 5846724 5943444 6041764 6196528 6333951 6438731 6971094 7086414 7388168 7477236 7795632 7924592 8100339 8311689 8445268 8915166 9062646 9294792 9448552 9807408 9969648 10069358 10629621 10800452 11082252 11693448 11886888 12005773 12083528 12667902 12877462 13593969 13942188 14172828 14776336 14954472 15104037 15353897 16200678 16623378 16890536 17830332 18125292 18589584 18897104 19001853 19316193 19635733 20138716 21259242 21600904 22164504 23386896 23773776 24011546 24167056 24301017 25335804 25754924 27187938 27884376 28345656 28629151 29908944 30208074 30707794 32401356 33246756 33781072 35660664 36017319 36250584 36613139 38003706 38632386 39271466 40277432 42518484 43201808 44329008 45312111 46061691 46823671 48023092 48602034 50671608 51509848 54375876 55768752 56691312 57258302 57948579 58907199 60416148 61415588 64802712 65450827 66493512 71321328 72034638 72501168 73226278 76007412 77264772 78542932 80554864 83703503 85036968 85887453 90624222 92123382 93647342 96046184 97204068 101343216 103019696 108051957 108751752 109839417 114516604 115897158 117814398 120832296 122831176 129605424 130901654 132987024 138185073 140471013 144069276 146452556 152014824 154529544 156075049 157085864 167407006 170073936 171774906 176721597 181248444 184246764 187294684 192092368 194408136 196352481 199600661 216103914 217503504 219678834 229033208 231794316 235628796 241664592 245662352 251110509 255264529 257662359 261803308 276370146 280942026 288138552 292905112 304029648 309059088 312150098 314171728 329518251 334814012 343549812 353443194 362496888 368493528 372178963 374589368 388816272 392704962 399201322 421413039 432207828 439357668 458066416 463588632 468225147 471257592 475970807 502221018 510529058 515324718 523606616 552740292 561884052 576277104 585810224 589057443 598801983 608707723 624300196 659036502 669628024 687099624 706886388 724993776 736987056 744357926 749178736 753331527 765793587 785409924 798402644 842826078 864415656 878715336 927177264 936450294 942515184 951941614 1004442036 1021058116 1030649436 1047213232 1105480584 1116536889 1123768104 1135007309 1178114886 1197603966 1217415446 1248600392 1318073004 1339256048 1374199248 1404675441 1413772776 1427912421 1451533801 1488715852 1506663054 1531587174 1570819848 1596805288 1685652156 1728831312 1757430672 1796405949 1826123169 1872900588 1903883228 2008884072 2028975637 2042116232 2061298872 2210961168 2233073778 2247536208 2270014618 2297380761 2356229772 2395207932 2434830892 2497200784 2594808593 2636146008 2809350882 2827545552 2855824842 2903067602 2977431704 3013326108 3063174348 3141639696 3193610576 3318438877 3349610667 3371304312 3405021927 3592811898 3652246338 3745801176 3807766456 4017768144 4057951274 4084232464 4122597744 4283737263 4354601403 4466147556 4540029236 4594761522 4712459544 4790415864 4838326519 4869661784 5189617186 5272292016 5478369507 5618701764 5711649684 5806135204 5954863408 6026652216 6086926911 6126348696 6187620491 6636877754 6699221334 6742608624 6810043854 7185623796 7304492676 7491602352 7615532912 7784425779 7913200399 8115902548 8567474526 8709202806 8932295112 9080058472 9189523044 9424919088 9580831728 9676653038 9739323568 9955316631 10215065781 10379234372 10956739014 11237403528 11423299368 11612270408 12053304432 12173853822 12252697392 12375240982 13063804209 13273755508 13398442668 13620087708 14371247592 14514979557 14608985352 14755095017 15568851558 15826400798 16231805096 17134949052 17418405612 17864590224 18160116944 18260780733 18379046088 18562861473 18869939413 19353306076 19910633262 20430131562 20758468744 21913478028 22474807056 22846598736 23224540816 23353277337 23739601197 24347707644 24750481964 26127608418 26547511016 26796885336 27240175416 28742495184 29029959114 29217970704 29510190034 29865949893 31137703116 31652801596 32463610192 34269898104 34836811224 35185226579 36521561466 36758092176 37125722946 37739878826 38706612152 39821266524 40860263124 41516937488 43544938671 43826956056 44265285051 44997547831 46706554674 47479202394 48695415288 49500963928 52255216836 53095022032 53593770672 54480350832 55688584419 56609818239 58059918228 59020380068 59731899786 62275406232 62898244747 63305603192 68539796208 69673622448 70370453158 71218803591 73043122932 74251445892 75479757652 77413224304 79642533048 80439066383 81720526248 87089877342 87653912112 88530570102 89995095662 93413109348 94958404788 97390830576 99001927856 102871605187 104510433672 105555679737 111377168838 113219636478 116119836456 118040760136 119463799572 124550812464 125796489494 126611206384 132795855153 134992643493 140740906316 142437607182 146086245864 148502891784 150959515304 159285066096 160878132766 163441052496 169829454717 174179754684 177061140204 179990191324 186826218696 188694734241 189916809576 191816235221 205743210374 209020867344 211111359474 222754337676 226439272956 232239672912 236081520272 238927599144 241317199149 245309212369 251592978988 265591710306 269985286986 281481812632 284875214364 292172491728 297005783568 301919030608 308614815561 316667039211 321756265532 339658909434 348359509368 354122280408 359980382648 373652437392 377389468482 379833619152 383632470442 404977930479 411486420748 422222718948 445508675352 452878545912 457407945527 477855198288 482634398298 490618424738 503185957976 531183420612 539970573972 562963625264 566084202723 569750428728 575448705663 584968121803 617229631122 633334078422 643512531064 679317818868 696719018736 708244560816 719960765296 723951597447 735927637107 754778936964 767264940884 809955860958 822972841496 844445437896 891017350704 905757091824 914815891054 925844446683 965268796596 981236849476 1006371915952 1062366841224 1079941147944 1132168405446 1139500857456 1150897411326 1169936243606 1234459262244 1266668156844 1287025062128 1358635637736 1372223836581 1394923982761 1447903194894 1471855274214 1509557873928 1534529881768 1619911721916 1645945682992 1688890875792 1726346116989 1754904365409 1829631782108 1851688893366 1930537593192 1962473698952 2124733682448 2159882295888 2207782911321 2264336810892 2301794822652 2339872487212 2468918524488 2493611057873 2533336313688 2717271275472 2744447673162 2789847965522 2895806389788 2943710548428 3019115747856 3069059763536 3189019760797 3239823443832 3452692233978 3509808730818 3659263564216 3703377786732 3861075186384 3924947397904 4116671509743 4184771948283 4415565822642 4528673621784 4603589645304 4679744974424 4937837048976 4987222115746 5066672627376 5264713096227 5488895346324 5579695931044 5791612779576 5887421096856 5946303291851 6378039521594 6479646887664 6905384467956 7019617461636 7318527128432 7406755573464 7480833173619 7604585583439 8233343019486 8369543896566 8831131645284 9057347243568 9207179290608 9359489948848 9567059282391 9974444231492 10529426192454 10977790692648 11159391862088 11583225559152 11774842193712 11892606583702 12554315844849 12756079043188 13810768935912 14039234923272 14813511146928 14961666347238 15209171166878 16466686038972 16739087793132 17662263290568 17838909875553 18134011775893 19134118564782 19948888462984 21058852384908 21955581385296 22318783724176 22442499520857 22813756750317 23785213167404 25108631689698 25512158086376 27621537871824 28078469846544 28701177847173 29923332694476 30418342333756 32933372077944 33478175586264 35324526581136 35677819751106 36268023551786 38268237129564 39897776925968 42117704769816 43242643465591 44884999041714 45627513500634 47570426334808 50217263379396 51024316172752 53516729626659 54402035327679 57402355694346 59846665388952 60836684667512 65866744155888 66956351172528 68441270250951 71355639502212 72536047103572 76536474259128 77301942794063 84235409539632 86485286931182 89769998083428 91255027001268 95140852669616 98859612584707 100434526758792 107033459253318 108804070655358 114804711388692 119693330777904 121673369335024 129727930396773 136882540501902 142711279004424 145072094207144 153072948518256 154603885588126 163206105983037 172970573862364 179539996166856 182510054002536 197719225169414 200869053517584 214066918506636 217608141310716 229609422777384 231905828382189 235742153086609 259455860793546 273765081003804 285422558008848 290144188414288 296578837754121 309207771176252 326412211966074 345941147724728 359079992333712 365020108005072 389183791190319 395438450338828 428133837013272 435216282621432 459218845554768 463811656764378 471484306173218 518911721587092 547530162007608 562154365052683 593157675508242 618415542352504 652824423932148 691882295449456 695717485146567 707226459259827 778367582380638 790876900677656 856267674026544 870432565242864 889736513262363 927623313528756 942968612346436 1037823443174184 1095060324015216 1124308730105366 1186315351016484 1236831084705008 1305648847864296 1391434970293134 1414452918519654 1556735164761276 1581753801355312 1686463095158049 1779473026524726 1855246627057512 1885937224692872 2075646886348368 2121679377779481 2248617460210732 2372630702032968 2611297695728592 2782869940586268 2828905837039308 3064647990125917 3113470329522552 3372926190316098 3558946053049452 3710493254115024 3771874449385744 4243358755558962 4497234920421464 4745261404065936 5059389285474147 5565739881172536 5657811674078616 6129295980251834 6226940659045104 6745852380632196 7117892106098904 7308006745684879 8486717511117924 8994469840842928 9193943970377751 10118778570948294 11131479762345072 11315623348157232 12258591960503668 13491704761264392 14235784212197808 14616013491369758 16973435022235848 18387887940755502 20237557141896588 21924020237054637 24517183921007336 26983409522528784 27581831911133253 29232026982739516 33946870044471696 36775775881511004 40475114283793176 43848040474109274 49034367842014672 55163663822266506 58464053965479032 65772060711163911 73551551763022008 80950228567586352 87696080948218548 95004087693903427 110327327644533012 116928107930958064 131544121422327822 147103103526044016 175392161896437096 190008175387806854 220654655289066024 263088242844655644 285012263081710281 350784323792874192 380016350775613708 441309310578132048 526176485689311288 570024526163420562 760032701551227416 855036789245130843 1052352971378622576 1140049052326841124 1520065403102454832 1710073578490261686 2280098104653682248 3420147156980523372 4560196209307364496 6840294313961046744 13680588627922093488
- Sum of all divisors σ(n): 42893174825214080640
- Sum of proper divisors (its aliquot sum) s(n): 29212586197291987152
- 13680588627922093488 is an abundant number, because the sum of its proper divisors (29212586197291987152) is greater than itself. Its abundance is 15531997569369893664
Bases of 13680588627922093488
- Binary: 10111101110110110011011011011111110011011000101110000101101100002
- Hexadecimal: 0xBDDB36DFCD8B85B0
- Base-36: 2VXSJXHCDTZG0
Squares and roots of 13680588627922093488
- 13680588627922093488 squared (136805886279220934882) is 187158505206431308499777378352612006144
- 13680588627922093488 cubed (136805886279220934883) is 2560438517946002085193447239609583577025916222943998390272
-
The
square root of 13680588627922093488 is 3698727974.3071256969 -
The
cube root of 13680588627922093488 is 2391671.8651135719
Scales and comparisons
How big is 13680588627922093488?- 13,680,588,627,922,093,488 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,680,588,627,922,093,488 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13680588627922093488 cubic inches would be around 199306 feet tall.
Recreational maths with 13680588627922093488
- 13680588627922093488 backwards is 88439022972688508631
- The number of decimal digits it has is: 20
- The sum of 13680588627922093488's digits is 99
- More coming soon!
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"Number 13680588627922093488 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 13680588627922093488 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/13680588627922093488/
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The information we have on file for 13680588627922093488 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 13680588627922093488, math, Factors of 13680588627922093488, curriculum, school, college, exams, university, Prime factorization of 13680588627922093488, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, six hundred eighty quadrillion, five hundred eighty-eight trillion, six hundred twenty-seven billion, nine hundred twenty-two million, ninety-three thousand, four hundred eighty-eight.