13680941260800
13,680,941,260,800 is an even composite number composed of six prime numbers multiplied together.
13680941260800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 13680941260800:
213 × 3 × 52 × 11 × 293 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 29 × 29 × 29 × 83)See below for interesting mathematical facts about the number 13680941260800 from the Numbermatics database.
Names of 13680941260800
- Cardinal: 13680941260800 can be written as Thirteen trillion, six hundred eighty billion, nine hundred forty-one million, two hundred sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36809412608 × 1013
Factors of 13680941260800
Divisors of 13680941260800
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 29 30 32 33 40 44 48 50 55 58 60 64 66 75 80 83 87 88 96 100 110 116 120 128 132 145 150 160 165 166 174 176 192 200 220 232 240 249 256 264 275 290 300 319 320 330 332 348 352 384 400 415 435 440 464 480 498 512 528 550 580 600 638 640 660 664 696 704 725 768 800 825 830 841 870 880 913 928 957 960 996 1024 1056 1100 1160 1200 1245 1276 1280 1320 1328 1392 1408 1450 1536 1595 1600 1650 1660 1682 1740 1760 1826 1856 1914 1920 1992 2048 2075 2112 2175 2200 2320 2400 2407 2490 2523 2552 2560 2640 2656 2739 2784 2816 2900 3072 3190 3200 3300 3320 3364 3480 3520 3652 3712 3828 3840 3984 4096 4150 4205 4224 4350 4400 4565 4640 4785 4800 4814 4980 5046 5104 5120 5280 5312 5478 5568 5632 5800 6144 6225 6380 6400 6600 6640 6728 6960 7040 7221 7304 7424 7656 7680 7968 7975 8192 8300 8410 8448 8700 8800 9130 9251 9280 9570 9600 9628 9960 10092 10208 10240 10560 10624 10956 11136 11264 11600 12035 12288 12450 12615 12760 12800 13200 13280 13456 13695 13920 14080 14442 14608 14848 15312 15360 15936 15950 16600 16820 16896 17400 17600 18260 18502 18560 19140 19200 19256 19920 20184 20416 20480 21025 21120 21248 21912 22272 22528 22825 23200 23925 24070 24389 24576 24900 25230 25520 25600 26400 26477 26560 26912 27390 27753 27840 28160 28884 29216 29696 30624 30720 31872 31900 33200 33640 33792 34800 35200 36105 36520 37004 37120 38280 38400 38512 39840 40368 40832 40960 42050 42240 42496 43824 44544 45056 45650 46255 46400 47850 48140 48778 49800 50460 51040 51200 52800 52954 53120 53824 54780 55506 55680 56320 57768 58432 59392 60175 61248 61440 63075 63744 63800 66400 67280 67584 68475 69600 69803 70400 72210 73040 73167 74008 74240 76560 76800 77024 79431 79680 80736 81664 84100 84480 84992 87648 89088 90112 91300 92510 92800 95700 96280 97556 99600 100920 102080 102400 105600 105908 106240 107648 109560 111012 111360 112640 115536 116864 118784 120350 121945 122496 122880 126150 127488 127600 132385 132800 134560 135168 136950 138765 139200 139606 140800 144420 146080 146334 148016 148480 153120 153600 154048 158862 159360 161472 163328 168200 168960 169984 175296 178176 180525 182600 185020 185600 191400 192560 195112 199200 201840 204160 204800 209409 211200 211816 212480 215296 219120 222024 222720 225280 231072 231275 233728 237568 240700 243890 244992 252300 254976 255200 264770 265600 268279 269120 270336 273900 277530 278400 279212 281600 288840 292160 292668 296032 296960 306240 307200 308096 317724 318720 322944 326656 336400 337920 339968 349015 350592 356352 361050 365200 365835 370040 371200 382800 385120 390224 397155 398400 403680 408320 418818 422400 423632 424960 430592 438240 444048 445440 450560 462144 462550 467456 481400 487780 489984 504600 509952 510400 529540 531200 536558 538240 547800 555060 556800 558424 563200 577680 584320 585336 592064 593920 609725 612480 614400 616192 635448 637440 645888 653312 661925 672800 675840 679936 693825 698030 701184 712704 722100 730400 731670 740080 742400 765600 767833 770240 780448 794310 796800 804837 807360 816640 837636 844800 847264 849920 861184 876480 888096 890880 924288 925100 934912 962800 975560 979968 1009200 1019904 1020800 1047045 1059080 1062400 1073116 1076480 1095600 1110120 1113600 1116848 1126400 1155360 1168640 1170672 1184128 1187840 1219450 1224960 1232384 1270896 1274880 1291776 1306624 1323850 1341395 1345600 1351680 1387650 1396060 1402368 1444200 1460800 1463340 1480160 1484800 1531200 1535666 1540480 1560896 1588620 1593600 1609674 1614720 1633280 1675272 1689600 1694528 1699840 1722368 1745075 1752960 1776192 1781760 1829175 1848576 1850200 1869824 1925600 1951120 1959936 1985775 2018400 2024287 2039808 2041600 2094090 2118160 2124800 2146232 2152960 2191200 2220240 2227200 2233696 2252800 2303499 2310720 2337280 2341344 2368256 2438900 2449920 2464768 2541792 2549760 2583552 2613248 2647700 2682790 2691200 2775300 2792120 2804736 2888400 2921600 2926680 2960320 2969600 3062400 3071332 3080960 3121792 3177240 3187200 3219348 3229440 3266560 3350544 3379200 3389056 3399680 3444736 3490150 3505920 3552384 3563520 3658350 3697152 3700400 3739648 3839165 3851200 3902240 3919872 3971550 4024185 4036800 4048574 4083200 4188180 4236320 4249600 4292464 4305920 4382400 4440480 4454400 4467392 4606998 4621440 4674560 4682688 4736512 4877800 4899840 4929536 5083584 5099520 5167104 5235225 5295400 5365580 5382400 5550600 5584240 5609472 5776800 5843200 5853360 5920640 5939200 6072861 6124800 6142664 6161920 6243584 6354480 6374400 6438696 6458880 6533120 6701088 6706975 6758400 6778112 6889472 6980300 7011840 7104768 7316700 7394304 7400800 7479296 7678330 7702400 7804480 7839744 7943100 8048370 8073600 8097148 8166400 8376360 8472640 8499200 8584928 8611840 8764800 8880960 8908800 8934784 9213996 9242880 9349120 9365376 9473024 9755600 9799680 9859072 10121435 10167168 10199040 10334208 10470450 10590800 10731160 10764800 11101200 11168480 11218944 11517495 11553600 11686400 11706720 11841280 12145722 12249600 12285328 12323840 12487168 12708960 12748800 12877392 12917760 13066240 13402176 13413950 13556224 13960600 14023680 14209536 14633400 14788608 14801600 15356660 15404800 15608960 15886200 16096740 16147200 16194296 16332800 16752720 16945280 16998400 17169856 17223680 17529600 17761920 17817600 17869568 18427992 18485760 18698240 18730752 18946048 19195825 19511200 19599360 19718144 20120925 20242870 20334336 20668416 20940900 21181600 21462320 21529600 22202400 22267157 22336960 22437888 23034990 23107200 23372800 23413440 23682560 24291444 24499200 24570656 24647680 24974336 25417920 25497600 25754784 25835520 26804352 26827900 27112448 27921200 28047360 28419072 29266800 29577216 29603200 30364305 30713320 30809600 31217920 31772400 32193480 32294400 32388592 32665600 33505440 33890560 34339712 34447360 35059200 35523840 35739136 36855984 36971520 37396480 37461504 37892096 38391650 39022400 39198720 40241850 40485740 40668672 41881800 42363200 42924640 43059200 44404800 44534314 44673920 46069980 46214400 46745600 46826880 47365120 48582888 48998400 49141312 49295360 49948672 50607175 50835840 50995200 51509568 51671040 53608704 53655800 54224896 55842400 56094720 56838144 57587475 58533600 59154432 59206400 60728610 61426640 61619200 62435840 63544800 64386960 64588800 64777184 65331200 66801471 67010880 67781120 68679424 70118400 71047680 71478272 73711968 73943040 74923008 75784192 76783300 78044800 80483700 80971480 81337344 83763600 84726400 85849280 86118400 88809600 89068628 89347840 92139960 92428800 93491200 93653760 94730240 97165776 97996800 98282624 98590720 99897344 101214350 101671680 103019136 103342080 107217408 107311600 108449792 111335785 111684800 112189440 113676288 115174950 117067200 118412800 121457220 122853280 123238400 124871680 127089600 128773920 129177600 129554368 133602942 134021760 135562240 137358848 140236800 142095360 142956544 147423936 147886080 149846016 151821525 153566600 156089600 160967400 161942960 162674688 167527200 169452800 171698560 172236800 177619200 178137256 178695680 184279920 184857600 186982400 187307520 189460480 194331552 195993600 196565248 199794688 202428700 203343360 206038272 214434816 214623200 216899584 222671570 223369600 227352576 230349900 234134400 236825600 242914440 245706560 246476800 249743360 254179200 257547840 258355200 259108736 267205884 268043520 271124480 274717696 280473600 284190720 285913088 294847872 295772160 299692032 303643050 307133200 312179200 321934800 323885920 325349376 334007355 335054400 338905600 343397120 355238400 356274512 357391360 368559840 369715200 374615040 378920960 388663104 393130496 404857400 406686720 412076544 428869632 429246400 445343140 446739200 460699800 468268800 473651200 485828880 491413120 492953600 499486720 508358400 515095680 516710400 518217472 534411768 536087040 542248960 549435392 556678925 560947200 568381440 571826176 589695744 599384064 607286100 614266400 624358400 643869600 647771840 650698752 668014710 670108800 677811200 686794240 710476800 712549024 714782720 737119680 739430400 749230080 777326208 786260992 809714800 813373440 824153088 857739264 858492800 890686280 893478400 921399600 936537600 947302400 971657760 982826240 998973440 1016716800 1030191360 1036434944 1068823536 1072174080 1084497920 1098870784 1113357850 1136762880 1179391488 1214572200 1228532800 1248716800 1287739200 1295543680 1336029420 1340217600 1355622400 1373588480 1420953600 1425098048 1429565440 1474239360 1478860800 1498460160 1554652416 1572521984 1619429600 1626746880 1648306176 1670036775 1715478528 1716985600 1781372560 1786956800 1842799200 1873075200 1894604800 1943315520 1965652480 2033433600 2060382720 2072869888 2137647072 2144348160 2197741568 2226715700 2358782976 2429144400 2457065600 2497433600 2575478400 2591087360 2672058840 2680435200 2711244800 2747176960 2841907200 2850196096 2859130880 2948478720 2996920320 3109304832 3145043968 3238859200 3253493760 3296612352 3340073550 3433971200 3562745120 3573913600 3685598400 3746150400 3886631040 3931304960 4066867200 4120765440 4145739776 4275294144 4288696320 4453431400 4717565952 4858288800 4914131200 4994867200 5150956800 5182174720 5344117680 5360870400 5422489600 5494353920 5683814400 5700392192 5896957440 6218609664 6290087936 6477718400 6593224704 6680147100 6867942400 7125490240 7147827200 7371196800 7492300800 7773262080 7862609920 8133734400 8241530880 8291479552 8550588288 8577392640 8906862800 9435131904 9716577600 9828262400 10301913600 10364349440 10688235360 10721740800 10988707840 11400784384 11793914880 12437219328 12955436800 13360294200 13735884800 14250980480 14295654400 14742393600 14984601600 15546524160 15725219840 16267468800 16483061760 16582959104 17101176576 17813725600 18870263808 19433155200 19656524800 20603827200 20728698880 21376470720 21443481600 22801568768 23587829760 24874438656 25910873600 26720588400 27471769600 28501960960 29484787200 31093048320 31450439680 32966123520 34202353152 35627451200 38866310400 39313049600 41207654400 41457397760 42752941440 42886963200 45603137536 47175659520 49748877312 51821747200 53441176800 54943539200 57003921920 58969574400 62186096640 68404706304 71254902400 77732620800 78626099200 82415308800 82914795520 85505882880 91206275072 94351319040 103643494400 106882353600 114007843840 117939148800 124372193280 136809412608 142509804800 155465241600 157252198400 164830617600 171011765760 182412550144 207286988800 213764707200 228015687680 235878297600 248744386560 273618825216 285019609600 310930483200 342023531520 414573977600 427529414400 456031375360 471756595200 547237650432 570039219200 621860966400 684047063040 855058828800 912062750720 1140078438400 1243721932800 1368094126080 1710117657600 2280156876800 2736188252160 3420235315200 4560313753600 6840470630400 13680941260800
- Sum of all divisors σ(n): 51726011823360
- Sum of proper divisors (its aliquot sum) s(n): 38045070562560
- 13680941260800 is an abundant number, because the sum of its proper divisors (38045070562560) is greater than itself. Its abundance is 24364129301760
Bases of 13680941260800
- Binary: 110001110001010101111010010011100000000000002
- Hexadecimal: 0xC7157A4E000
- Base-36: 4UKXR711C
Squares and roots of 13680941260800
- 13680941260800 squared (136809412608002) is 187168153781459893616640000
- 13680941260800 cubed (136809412608003) is 2560636517776534204640268713459712000000
-
The
square root of 13680941260800 is 3698775.6434798801 -
The
cube root of 13680941260800 is 23916.9241429971
Scales and comparisons
How big is 13680941260800?- 13,680,941,260,800 seconds is equal to 435,011 years, 31 weeks, 6 days, 13 hours, 20 minutes.
-
To count from 1 to 13,680,941,260,800 would take you about one million, eighty-seven thousand, five hundred twenty-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 13680941260800 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13680941260800
- 13680941260800 backwards is 00806214908631
- 13680941260800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13680941260800's digits is 48
- More coming soon!
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The information we have on file for 13680941260800 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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