13345867618720
13,345,867,618,720 is an even composite number composed of six prime numbers multiplied together.
What does the number 13345867618720 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13345867618720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13345867618720:
25 × 5 × 73 × 132 × 293 × 59
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 13 × 13 × 29 × 29 × 29 × 59)See below for interesting mathematical facts about the number 13345867618720 from the Numbermatics database.
Names of 13345867618720
- Cardinal: 13345867618720 can be written as Thirteen trillion, three hundred forty-five billion, eight hundred sixty-seven million, six hundred eighteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.334586761872 × 1013
Factors of 13345867618720
Divisors of 13345867618720
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 29 32 35 40 49 52 56 58 59 65 70 80 91 98 104 112 116 118 130 140 145 160 169 182 196 203 208 224 232 236 245 260 280 290 295 338 343 364 377 392 406 413 416 455 464 472 490 520 560 580 590 637 676 686 728 754 767 784 812 826 841 845 910 928 944 980 1015 1040 1120 1160 1180 1183 1274 1352 1372 1421 1456 1508 1534 1568 1624 1652 1682 1690 1711 1715 1820 1885 1888 1960 2030 2065 2080 2320 2360 2366 2548 2639 2704 2744 2842 2891 2912 3016 3068 3185 3248 3304 3364 3380 3422 3430 3640 3770 3835 3920 4060 4130 4205 4459 4640 4720 4732 4901 5096 5278 5369 5408 5488 5684 5782 5887 5915 6032 6136 6370 6496 6608 6728 6760 6844 6860 7105 7280 7540 7670 7840 8120 8260 8281 8410 8555 8918 9440 9464 9802 9947 9971 10192 10556 10738 10933 10976 11368 11564 11774 11830 11977 12064 12272 12740 13195 13216 13456 13520 13688 13720 14210 14455 14560 15080 15340 16240 16520 16562 16820 17110 17836 18473 18928 19604 19894 19942 20237 20384 21112 21476 21866 22243 22295 22736 23128 23548 23660 23954 24389 24505 24544 25480 26390 26845 26912 27040 27376 27440 28420 28910 29435 30160 30680 32480 33040 33124 33640 34220 34307 35672 36946 37583 37856 39208 39788 39884 40474 41209 41405 42224 42952 43732 44486 44590 45472 46256 47096 47320 47908 48778 49010 49619 49735 49855 50960 52780 53690 54665 54752 54880 56840 57820 57967 58870 59885 60320 61360 66080 66248 67280 68440 68614 69797 71344 73892 75166 76531 78416 79576 79768 80948 82418 82810 83839 84448 85904 87464 88972 89180 92365 92512 94192 94640 95816 97556 98020 99238 99470 99710 101185 101920 105560 107380 109330 111215 113680 115640 115934 117740 119770 121945 122720 129311 132496 134560 136880 137228 139594 142129 142688 147784 150332 153062 155701 156832 159152 159536 161896 164836 165620 167678 170723 171535 171808 174928 177944 178360 184730 187915 188384 189280 191632 195112 196040 198476 198940 199420 202370 206045 211120 214760 218660 222430 227360 231280 231868 235480 239540 240149 243890 248095 258622 263081 264992 273760 274456 279188 284258 288463 289159 289835 295568 300664 306124 311402 317057 318304 319072 323792 329672 331240 335356 341446 343070 347333 348985 349856 355888 356720 369460 375830 382655 383264 390224 392080 396952 397880 398840 404740 412090 419195 422240 429520 437320 444860 462560 463736 470960 479080 480298 487780 488579 496190 517244 526162 535717 548912 558376 568516 576926 578318 579670 586873 591136 601328 612248 622804 634114 645047 646555 647584 659344 662480 670712 682892 686140 694666 697970 710645 711776 713440 738920 751660 765310 778505 780448 784160 793904 795760 797680 809480 824180 838390 853615 859040 874640 889720 927472 941920 958160 960596 975560 977158 992380 994903 1034488 1052324 1071434 1089907 1097824 1116752 1137032 1153852 1156636 1159340 1173746 1195061 1200745 1202656 1224496 1245608 1268228 1290094 1293110 1315405 1318688 1324960 1341424 1365784 1372280 1389332 1395940 1421290 1438951 1442315 1445795 1477840 1503320 1530620 1557010 1585285 1587808 1591520 1595360 1618960 1648360 1676780 1681043 1707230 1736665 1749280 1779440 1854944 1916320 1921192 1951120 1954316 1984760 1989806 2024113 2068976 2104648 2142868 2179814 2219399 2233504 2274064 2307704 2313272 2318680 2347492 2390122 2401490 2431331 2442895 2448992 2491216 2536456 2580188 2586220 2630810 2678585 2682848 2731568 2744560 2778664 2791880 2842580 2877902 2884630 2891590 2934365 2955680 3006640 3061240 3114020 3170570 3225235 3237920 3296720 3353560 3362086 3414460 3420053 3473330 3558880 3750019 3842384 3902240 3908632 3969520 3979612 4048226 4121741 4137952 4209296 4285736 4359628 4438798 4515329 4548128 4615408 4626544 4637360 4694984 4780244 4802980 4862662 4885790 4974515 4982432 5072912 5160376 5172440 5261620 5357170 5449535 5463136 5489120 5557328 5583760 5685160 5755804 5769260 5783180 5868730 5975305 6013280 6122480 6228040 6341140 6450470 6593440 6707120 6724172 6828920 6840106 6946660 6964321 7194755 7500038 7629349 7684768 7817264 7939040 7959224 8096452 8243482 8365427 8385611 8405215 8418592 8571472 8719256 8877596 9030658 9230816 9253088 9274720 9389968 9560488 9605960 9725324 9771580 9949030 10072657 10120565 10145824 10320752 10344880 10523240 10714340 10899070 11096995 11114656 11167520 11370320 11511608 11538520 11566360 11737460 11950610 12156655 12244960 12456080 12682280 12900940 13414240 13448344 13657840 13680212 13893320 13928642 14168791 14389510 15000076 15258698 15535793 15634528 15918448 16192904 16486964 16730854 16771222 16810430 17019317 17100265 17142944 17438512 17755192 18061316 18706363 18750095 18779936 19120976 19211920 19450648 19543160 19898060 20145314 20241130 20608705 20641504 20689760 21046480 21428680 21798140 22193990 22576645 22740640 23023216 23077040 23132720 23474920 23901220 24313310 24912160 25364560 25801880 26896688 27315680 27360424 27786640 27857284 28337582 28779020 28852187 30000152 30517396 31071586 31607303 31836896 32385808 32973928 33461708 33542444 33620860 34038634 34200530 34821605 34877024 35510384 36122632 37412726 37500190 38146745 38241952 38423840 38901296 39086320 39796120 40290628 40482260 41217410 41827135 41928055 42092960 42857360 43596280 44387980 45153290 46046432 46154080 46265440 46949840 47802440 48626620 48750247 50363285 50729120 51603760 53793376 54720848 55573280 55714568 56675164 57558040 57704374 58699277 60000304 61034792 62143172 63214606 64771616 65947856 66923416 67084888 67241720 68077268 68401060 69643210 70508599 70843955 71020768 72245264 74825452 75000380 76293490 77678965 77802592 78172640 79592240 80581256 80964520 82434820 83654270 83856110 85096585 85714720 87192560 88775960 90306580 93531815 93899680 95604880 97253240 97500494 99181537 100726570 103207520 108750551 109441696 111429136 113350328 115116080 115408748 117398554 120000608 122069584 124286344 126429212 130944541 131895712 133846832 134169776 134483440 136154536 136802120 139286420 141017198 141687910 144260935 144490528 149650904 150000760 152586980 155357930 158036515 159184480 161162512 161929040 164869640 167308540 167712220 170193170 174385120 177551920 180613160 187063630 191209760 194506480 195000988 198363074 201453140 201965309 217501102 221251121 222858272 226700656 230232160 230817496 234797108 243182719 243751235 244139168 248572688 252858424 261889082 267693664 268339552 268966880 272309072 273604240 278572840 282034396 283375820 288521870 293496385 299301808 300001520 305173960 310715860 316073030 322325024 323858080 329739280 334617080 335424440 340386340 352542995 355103840 361226320 374127260 389012960 390001976 396726148 402906280 403930618 410894939 435002204 442502242 453401312 461634992 469594216 486365438 487502470 493560193 495907685 497145376 505716848 523778164 543752755 544618144 547208480 557145680 564068792 566751640 577043740 586992770 598603616 600003040 610347920 621431720 632146060 654722705 659478560 669234160 670848880 680772680 705085990 722452640 748254520 780003952 793452296 805812560 807861236 821789878 870004408 885004484 916611787 923269984 939188432 972730876 975004940 987120386 991815370 1009826545 1011433696 1047556328 1087505510 1106255605 1114291360 1128137584 1133503280 1154087480 1173985540 1215913595 1220695840 1242863440 1264292120 1309445410 1338468320 1341697760 1361545360 1410171980 1413757163 1496509040 1560007904 1586904592 1611625120 1615722472 1643579756 1702279033 1740008816 1770008968 1833223574 1878376864 1945461752 1950009880 1974240772 1983630740 2019653090 2054474695 2095112656 2175011020 2212511210 2256275168 2267006560 2308174960 2347971080 2431827190 2467800965 2485726880 2528584240 2618890820 2723090720 2820343960 2827514326 2876264573 2993018080 3173809184 3231444944 3287159512 3404558066 3480017632 3540017936 3666447148 3890923504 3900019760 3948481544 3967261480 4039306180 4108949390 4190225312 4350022040 4425022420 4583058935 4616349920 4695942160 4863654380 4935601930 5057168480 5237781640 5640687920 5655028652 5752529146 6416282509 6462889888 6574319024 6809116132 7068785815 7080035872 7332894296 7781847008 7800039520 7896963088 7934522960 8078612360 8217898780 8511395165 8700044080 8850044840 9166117870 9391884320 9727308760 9871203860 10475563280 11281375840 11310057304 11505058292 11915953231 12832565018 13148638048 13618232264 14137571630 14381322865 14665788592 15793926176 15869045920 16157224720 16435797560 17022790330 17400088160 17700089680 18332235740 19454617520 19742407720 20951126560 22620114608 23010116584 23831906462 25665130036 27236464528 28275143260 28762645730 29331577184 32081412545 32314449440 32871595120 34045580660 35400179360 36664471480 38909235040 39484815440 45240229216 46020233168 47663812924 51330260072 54472929056 56550286520 57525291460 59579766155 64162825090 65743190240 68091161320 73328942960 78969630880 83411672617 92040466336 95327625848 102660520144 113100573040 115050582920 119159532310 128325650180 136182322640 146657885920 166823345234 190655251696 205321040288 226201146080 230101165840 238319064620 256651300360 272364645280 333646690468 381310503392 417058363085 460202331680 476638129240 513302600720 667293380936 834116726170 953276258480 1026605201440 1334586761872 1668233452340 1906552516960 2669173523744 3336466904680 6672933809360 13345867618720
- Sum of all divisors σ(n): 41936045760000
- Sum of proper divisors (its aliquot sum) s(n): 28590178141280
- 13345867618720 is an abundant number, because the sum of its proper divisors (28590178141280) is greater than itself. Its abundance is 15244310522560
Bases of 13345867618720
- Binary: 110000100011010100111011001011011001101000002
- Hexadecimal: 0xC2353B2D9A0
- Base-36: 4QB09004G
Squares and roots of 13345867618720
- 13345867618720 squared (133458676187202) is 178112182496399043294438400
- 13345867618720 cubed (133458676187203) is 2377061608878239164906832793227726848000
-
The
square root of 13345867618720 is 3653199.6412350639 -
The
cube root of 13345867618720 is 23720.0502220375
Scales and comparisons
How big is 13345867618720?- 13,345,867,618,720 seconds is equal to 424,357 years, 16 weeks, 9 hours, 38 minutes, 40 seconds.
-
To count from 1 to 13,345,867,618,720 would take you about one million, sixty thousand, eight hundred ninety-three 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 13345867618720 cubic inches would be around 1976.7 feet tall.
Recreational maths with 13345867618720
- 13345867618720 backwards is 02781676854331
- The number of decimal digits it has is: 14
- The sum of 13345867618720's digits is 61
- More coming soon!
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The information we have on file for 13345867618720 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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