13738904048823552
13,738,904,048,823,552 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13738904048823552 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
13738904048823552 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13738904048823552:
28 × 34 × 53 × 137 × 149 × 757 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 53 × 137 × 149 × 757 × 809)See below for interesting mathematical facts about the number 13738904048823552 from the Numbermatics database.
Names of 13738904048823552
- Cardinal: 13738904048823552 can be written as Thirteen quadrillion, seven hundred thirty-eight trillion, nine hundred four billion, forty-eight million, eight hundred twenty-three thousand, five hundred fifty-two.
Scientific notation
- Scientific notation: 1.3738904048823552 × 1016
Factors of 13738904048823552
Divisors of 13738904048823552
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 137 144 149 159 162 192 212 216 256 274 288 298 318 324 384 411 424 432 447 477 548 576 596 636 648 757 768 809 822 848 864 894 954 1096 1152 1192 1233 1272 1296 1341 1431 1514 1618 1644 1696 1728 1788 1908 2192 2271 2304 2384 2427 2466 2544 2592 2682 2862 3028 3236 3288 3392 3456 3576 3699 3816 4023 4293 4384 4542 4768 4854 4932 5088 5184 5364 5724 6056 6472 6576 6784 6813 6912 7152 7261 7281 7398 7632 7897 8046 8586 8768 9084 9536 9708 9864 10176 10368 10728 11097 11448 12069 12112 12944 13152 13568 13626 14304 14522 14562 14796 15264 15794 16092 17172 17536 18168 19072 19416 19728 20352 20413 20439 20736 21456 21783 21843 22194 22896 23691 24138 24224 25888 26304 27252 28608 29044 29124 29592 30528 31588 32184 34344 35072 36336 38144 38832 39456 40121 40704 40826 40878 42877 42912 43566 43686 44388 45792 47382 48276 48448 51776 52608 54504 57216 58088 58248 59184 61056 61239 61317 63176 64368 65349 65529 68688 71073 72672 77664 78912 80242 81652 81756 85754 85824 87132 87372 88776 91584 94764 96552 96896 103552 103709 105216 109008 110833 112793 114432 116176 116496 118368 120363 120541 122112 122478 122634 126352 128631 128736 130698 131058 137376 142146 145344 155328 157824 160484 163304 163512 171508 171648 174264 174744 177552 183168 183717 189528 193104 193792 196047 207104 207418 213219 218016 221666 225586 232352 232992 236736 240726 241082 244956 245268 252704 257262 257472 261396 262116 274752 284292 290688 310656 311127 315648 320968 326608 327024 332499 338379 343016 343296 348528 349488 355104 361089 361623 366336 367434 379056 385893 386208 392094 414836 426438 436032 443332 451172 464704 465984 473472 481452 482164 489912 490536 505408 514524 514944 522792 524232 549504 551151 568584 581376 588141 612413 621312 622254 639657 641936 653216 654048 664998 676758 686032 697056 698976 710208 722178 723246 734868 758112 771786 772416 784188 829672 852876 872064 886664 902344 929408 931968 933381 946944 962904 964328 979824 981072 997497 1010816 1015137 1029048 1029888 1045584 1048464 1081889 1083267 1084869 1099008 1102302 1137168 1157679 1176282 1224826 1244508 1279314 1283872 1306432 1308096 1329996 1353516 1372064 1394112 1397952 1420416 1444356 1446492 1469736 1516224 1543572 1544832 1568376 1653453 1659344 1705752 1744128 1773328 1804688 1837239 1858816 1863936 1866762 1925808 1928656 1959648 1962144 1994994 2021632 2030274 2058096 2091168 2096928 2163778 2166534 2169738 2204604 2274336 2315358 2352564 2449652 2489016 2558628 2567744 2612864 2616192 2659992 2707032 2744128 2788224 2795904 2800143 2840832 2888712 2892984 2939472 2992491 3032448 3045411 3087144 3089664 3136752 3245667 3249801 3254607 3306906 3318688 3411504 3473037 3546656 3609376 3674478 3733524 3851616 3857312 3919296 3924288 3989988 4060548 4116192 4182336 4193856 4327556 4333068 4339476 4409208 4548672 4630716 4705128 4899304 4978032 5117256 5135488 5225728 5232384 5319984 5414064 5488256 5496577 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1056903488 1058249664 1075254912 1094994444 1112590152 1127836608 1147781568 1149116544 1168484004 1169437824 1187260632 1189016424 1226625216 1246336128 1249769088 1251663921 1268816184 1291254264 1337643477 1342409296 1379953368 1402128144 1407123712 1410999552 1459992592 1483453536 1503782144 1510210458 1530375424 1557978672 1583014176 1585355232 1587374496 1635500288 1637979946 1642491666 1668885228 1691754912 1721672352 1750496402 1752726006 1780890948 1783524636 1839937824 1869504192 1903224276 1936881396 1977938048 2013613944 2069930052 2077304896 2110685568 2113806976 2116499328 2150509824 2189988888 2225180304 2255673216 2265315687 2295563136 2298233088 2336968008 2338875648 2374521264 2378032848 2453250432 2456969919 2463737499 2492672256 2499538176 2503327842 2537632368 2582508528 2625744603 2629089009 2675286954 2684818592 2759906736 2804256288 2919985184 2966907072 3020420916 3115957344 3166028352 3170710464 3174748992 3275959892 3284983332 3337770456 3383509824 3443344704 3500992804 3505452012 3561781896 3567049272 3679875648 3739008384 3806448552 3873762792 3955876096 4027227888 4139860104 4154609792 4221371136 4227613952 4232998656 4379977776 4446730793 4450360608 4511346432 4530631374 4591126272 4673936016 4749042528 4756065696 4836225461 4906500864 4913939838 4927474998 5006655684 5075264736 5165017056 5251489206 5258178018 5350573908 5369637184 5519813472 5608512576 5839970368 5933814144 6040841832 6231914688 6332056704 6341420928 6349497984 6551919784 6569966664 6675540912 6767019648 6795947061 6886689408 7001985608 7010904024 7123563792 7134098544 7359751296 7370909757 7391212497 7478016768 7612897104 7747525584 7877233809 8054455776 8279720208 8309219584 8759955552 8893461586 8900721216 9061262748 9347872032 9498085056 9512131392 9672450922 9827879676 9854949996 10013311368 10150529472 10330034112 10502978412 10516356036 10701147816 10739274368 11039626944 11217025152 11679940736 11867628288 12081683664 12463829376 12501186569 12664113408 12682841856 12698995968 13103839568 13139933328 13340192379 13351081824 13534039296 13591894122 13773378816 14003971216 14021808048 14247127584 14268197088 14508676383 14719502592 14741819514 14782424994 15225794208 15495051168 15754467618 16108911552 16559440416 17519911104 17786923172 17801442432 18122525496 18695744064 18996170112 19024262784 19344901844 19655759352 19709899992 20026622736 20301058944 20660068224 21005956824 21032712072 21402295632 21478548736 22079253888 22112729271 22434050304 23359881472 23631701427 24163367328 24927658752 25002373138 26207679136 26279866656 26680384758 26702163648 27183788244 28007942432 28043616096 28494255168 28536394176 29017352766 29483639028 29564849988 30451588416 30990102336 31508935236 32217823104 33118880832 35039822208 35573846344 35602884864 36245050992 37391488128 37503559707 37992340224 38048525568 38689803688 39311518704 39419799984 40020577137 40053245472 40602117888 41320136448 42011913648 42065424144 42804591264 43526029149 44158507776 44225458542 47263402854 48326734656 50004746276 52415358272 52559733312 53360769516 53404327296 54367576488 56015884864 56087232192 56988510336 57072788352 58034705532 58967278056 59129699976 60903176832 61980204672 63017870472 64435646208 66237761664 66338187813 70079644416 70895104281 71147692688 72490101984 74782976256 75007119414 77379607376 78623037408 78839599968 80041154274 80106490944 84023827296 84130848288 85609182528 87052058298 88450917084 94526805708 96653469312 100009492552 104830716544 105119466624 106721539032 106808654592 108735152976 112031769728 112174464384 112510679121 113977020672 114145576704 116069411064 117934556112 118259399952 120061731411 121806353664 123960409344 126035740944 130578087447 132475523328 132676375626 141790208562 142295385376 144980203968 150014238828 154759214752 157246074816 157679199936 160082308548 160212981888 168047654592 168261696576 171218365056 174104116596 176901834168 189053611416 193306938624 200018985104 209661433088 210238933248 213443078064 217470305952 224063539456 224348928768 225021358242 232138822128 235869112224 236518799904 240123462822 252071481888 261156174894 265352751252 283580417124 284590770752 289960407936 300028477656 309518429504 314492149632 315358399872 320164617096 320425963776 336095309184 336523393152 337532037363 342436730112 348208233192 353803668336 360185194233 378107222832 391734262341 400037970208 426886156128 434940611904 450042716484 464277644256 471738224448 473037599808 480246925644 504142963776 522312349788 530705502504 567160834248 569181541504 579920815872 600056955312 619036859008 628984299264 630716799744 640329234192 662562888157 672190618368 673046786304 675064074726 696416466384 707607336672 720370388466 756214445664 783468524682 800075940416 853772312256 869881223808 900085432968 928555288512 943476448896 946075199616 960493851288 1008285927552 1012596112089 1044624699576 1061411005008 1134321668496 1138363083008 1200113910624 1238073718016 1280658468384 1325125776314 1350128149452 1392832932768 1415214673344 1440740776932 1512428891328 1566937049364 1600151880832 1707544624512 1739762447616 1800170865936 1857110577024 1886952897792 1892150399232 1920987702576 1987688664471 2016571855104 2025192224178 2089249399152 2122822010016 2268643336992 2400227821248 2561316936768 2650251552628 2700256298904 2785665865536 2830429346688 2881481553864 3024857782656 3133874098728 3200303761664 3415089249024 3600341731872 3714221154048 3841975405152 3975377328942 4050384448356 4178498798304 4245644020032 4537286673984 4800455642496 5122633873536 5300503105256 5400512597808 5571331731072 5660858693376 5762963107728 5963065993413 6049715565312 6267748197456 7200683463744 7683950810304 7950754657884 8100768896712 8356997596608 8491288040064 9074573347968 9600911284992 10245267747072 10601006210512 10801025195616 11142663462144 11525926215456 11926131986826 12535496394912 14401366927488 15367901620608 15901509315768 16201537793424 16713995193216 16982576080128 17889197980239 18149146695936 21202012421024 21602050391232 23051852430912 23852263973652 25070992789824 28802733854976 30735803241216 31803018631536 32403075586848 33427990386432 35778395960478 42404024842048 43204100782464 46103704861824 47704527947304 50141985579648 53667593940717 63606037263072 64806151173696 71556791920956 84808049684096 86408201564928 92207409723648 95409055894608 100283971159296 107335187881434 127212074526144 129612302347392 143113583841912 169616099368192 190818111789216 214670375762868 254424149052288 259224604694784 286227167683824 381636223578432 429340751525736 508848298104576 572454335367648 763272447156864 858681503051472 1144908670735296 1526544894313728 1717363006102944 2289817341470592 3434726012205888 4579634682941184 6869452024411776 13738904048823552
- Sum of all divisors σ(n): 42435038471364000
- Sum of proper divisors (its aliquot sum) s(n): 28696134422540448
- 13738904048823552 is an abundant number, because the sum of its proper divisors (28696134422540448) is greater than itself. Its abundance is 14957230373716896
Bases of 13738904048823552
- Binary: 1100001100111101110101110111110110111011101101000000002
- Hexadecimal: 0x30CF75DF6EED00
- Base-36: 3RA19DYOG00
Squares and roots of 13738904048823552
- 13738904048823552 squared (137389040488235522) is 188757484462780190117755229896704
- 13738904048823552 cubed (137389040488235523) is 2593320967531439463187328475832854762549682372608
-
The
square root of 13738904048823552 is 117213071.1517429357 -
The
cube root of 13738904048823552 is 239506.5326491251
Scales and comparisons
How big is 13738904048823552?- 13,738,904,048,823,552 seconds is equal to 436,854,651 years, 27 weeks, 4 days, 16 hours, 19 minutes, 12 seconds.
-
To count from 1 to 13,738,904,048,823,552 would take you about one billion, three hundred ten million, five hundred sixty-three thousand, nine hundred fifty-four 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 13738904048823552 cubic inches would be around 19958.9 feet tall.
Recreational maths with 13738904048823552
- 13738904048823552 backwards is 25532884040983731
- 13738904048823552 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13738904048823552's digits is 72
- More coming soon!
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"Number 13738904048823552 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13738904048823552 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13738904048823552/
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The information we have on file for 13738904048823552 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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