13008321760896
13,008,321,760,896 is an even composite number composed of six prime numbers multiplied together.
What does the number 13008321760896 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13008321760896 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 13008321760896:
27 × 33 × 72 × 11 × 372 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 37 × 37 × 5101)See below for interesting mathematical facts about the number 13008321760896 from the Numbermatics database.
Names of 13008321760896
- Cardinal: 13008321760896 can be written as Thirteen trillion, eight billion, three hundred twenty-one million, seven hundred sixty thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.3008321760896 × 1013
Factors of 13008321760896
Divisors of 13008321760896
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 37 42 44 48 49 54 56 63 64 66 72 74 77 84 88 96 98 99 108 111 112 126 128 132 144 147 148 154 168 176 189 192 196 198 216 222 224 231 252 259 264 288 294 296 297 308 333 336 352 378 384 392 396 407 432 441 444 448 462 504 518 528 539 576 588 592 594 616 666 672 693 704 756 777 784 792 814 864 882 888 896 924 999 1008 1036 1056 1078 1152 1176 1184 1188 1221 1232 1323 1332 1344 1369 1386 1408 1512 1554 1568 1584 1617 1628 1728 1764 1776 1813 1848 1998 2016 2072 2079 2112 2156 2331 2352 2368 2376 2442 2464 2646 2664 2688 2738 2772 2849 3024 3108 3136 3168 3234 3256 3456 3528 3552 3626 3663 3696 3996 4032 4107 4144 4158 4224 4312 4662 4704 4736 4752 4851 4884 4928 5101 5292 5328 5439 5476 5544 5698 6048 6216 6272 6336 6468 6512 6993 7056 7104 7252 7326 7392 7992 8064 8214 8288 8316 8547 8624 9324 9408 9504 9583 9702 9768 9856 10202 10584 10656 10878 10952 10989 11088 11396 12096 12321 12432 12672 12936 13024 13986 14112 14208 14504 14553 14652 14784 15059 15303 15984 16317 16428 16576 16632 17094 17248 18648 18816 19008 19166 19404 19536 19943 20404 21168 21312 21756 21904 21978 22176 22792 24192 24642 24864 25641 25872 26048 27972 28224 28749 29008 29106 29304 29568 30118 30606 31968 32634 32856 33152 33264 34188 34496 35707 36963 37296 38016 38332 38808 39072 39886 40808 42336 42624 43512 43808 43956 44352 45177 45584 45909 48951 49284 49728 51282 51744 52096 55944 56111 56448 57498 58016 58212 58608 59829 60236 61212 63936 65268 65712 66528 67081 68376 68992 71414 73926 74592 76664 76923 77616 78144 79772 81616 84672 86247 87024 87616 87912 88704 90354 91168 91818 97902 98568 99456 102564 103488 105413 107121 111888 112222 114996 116032 116424 117216 119658 120472 122424 127872 130536 131424 133056 134162 135531 136752 137727 142828 147852 149184 153328 153846 155232 156288 159544 163232 168333 169344 172494 174048 175232 175824 179487 180708 182336 183636 188737 195804 197136 201243 205128 206976 210826 214242 223776 224444 229992 232064 232848 234432 239316 240944 244848 249949 258741 261072 262848 266112 268324 271062 273504 275454 285656 295704 298368 306656 307692 310464 316239 319088 321363 326464 336666 344988 348096 351648 358974 361416 364672 367272 377474 391608 392777 394272 402486 406593 410256 421652 428484 447552 448888 459984 465696 468864 478632 481888 489696 499898 504999 517482 522144 525696 536648 538461 542124 547008 550908 566211 571312 591408 603729 613312 615384 620928 632478 638176 642726 652928 673332 689976 696192 703296 717948 722832 734544 737891 749847 754948 783216 785554 788544 804972 813186 820512 843304 856968 895104 897776 919968 931392 948717 957264 963776 964089 979392 999796 1009998 1034964 1044288 1073296 1076922 1084248 1094016 1101816 1132422 1142624 1178331 1182816 1207458 1226624 1230768 1264956 1276352 1285452 1321159 1346664 1379952 1406592 1435896 1445664 1469088 1475782 1499694 1509896 1514997 1566432 1571108 1577088 1609944 1626372 1641024 1686608 1698633 1713936 1795552 1811187 1839936 1862784 1897434 1914528 1927552 1928178 1958784 1999592 2019996 2069928 2076107 2088576 2146592 2153844 2168496 2203632 2213673 2249541 2264844 2285248 2356662 2365632 2414916 2461536 2529912 2552704 2570904 2642318 2693328 2749439 2759904 2846151 2871792 2891328 2938176 2951564 2999388 3019792 3029994 3132864 3142216 3219888 3252744 3282048 3373216 3397266 3427872 3534993 3591104 3622374 3679872 3794868 3829056 3856356 3963477 3999184 4039992 4139856 4152214 4293184 4307688 4336992 4407264 4427346 4499082 4529688 4570496 4713324 4731264 4829832 4923072 5059824 5095899 5141808 5284636 5386656 5498878 5519808 5692302 5743584 5782656 5876352 5903128 5998776 6039584 6059988 6228321 6265728 6284432 6439776 6505488 6641019 6746432 6748623 6794532 6855744 6983269 7069986 7182208 7244748 7589736 7658112 7712712 7926954 7998368 8079984 8248317 8279712 8304428 8586368 8615376 8673984 8814528 8854692 8998164 9059376 9248113 9426648 9659664 9846144 10119648 10191798 10283616 10569272 10604979 10773312 10997756 11039616 11384604 11487168 11806256 11890431 11997552 12079168 12119976 12456642 12568864 12879552 13010976 13282038 13492864 13497246 13589064 13711488 13966538 14139972 14489496 14532749 15179472 15425424 15853908 15996736 16159968 16496634 16559424 16608856 17230752 17347968 17629056 17709384 17996328 18118752 18496226 18684963 18853296 19319328 19923057 20239296 20383596 20567232 20949807 21138544 21209958 21546624 21995512 22769208 22974336 23612512 23780862 23995104 24158336 24239952 24744951 24913284 25137728 25759104 26021952 26564076 26994492 27178128 27744339 27933076 28279944 28978992 29065498 30358944 30850848 31707816 31993472 32319936 32993268 33118848 33217712 34461504 35418768 35671293 35992656 36237504 36992452 37369926 37706592 38638656 39846114 40478592 40767192 41134464 41899614 42277088 42419916 43598247 43991024 45538416 47225024 47561724 47990208 48479904 48882883 49489902 49826568 50275456 52043904 53128152 53988984 54356256 55488678 55866152 56054889 56559888 57957984 58130996 60717888 61701696 62849421 63415632 64639872 65986536 66435424 68923008 70837536 71342586 71985312 72475008 73984904 74234853 74739852 75413184 76815959 77277312 79692228 81534384 83233017 83799228 84554176 84839832 87196494 87982048 91076832 94450048 95123448 95980416 96959808 97765766 98979804 99653136 101729243 106256304 107977968 108712512 110977356 111732304 112109778 113119776 115915968 116261992 121435776 123403392 125698842 126831264 130794741 131973072 132870848 141675072 142685172 143970624 146648649 147969808 148469706 149479704 150826368 153631918 159384456 163068768 166466034 167598456 169108352 169679664 174392988 175964096 182153664 188548263 190246896 193919616 195531532 197959608 199306272 203458486 212512608 215955936 217425024 221954712 223464608 224219556 226239552 230447877 231831936 232523984 249699051 251397684 253662528 261589482 263946144 265741696 283350144 285370344 287941248 293297298 295939616 296939412 298959408 305187729 307263836 318768912 326137536 332932068 335196912 339359328 342180181 348785976 351928192 364307328 377096526 380493792 391063064 392384223 395919216 398612544 406916972 425025216 431911872 439945947 443909424 446929216 448439112 452479104 460895754 465047968 499398102 502795368 507325056 523178964 527892288 537711713 570740688 586594596 591879232 593878824 597918816 610375458 614527672 637537824 652275072 665864136 670393824 678718656 684360362 691343631 697571952 754193052 760987584 782126128 784768446 791838432 797225088 813833944 850050432 863823744 879891894 887818848 893858432 896878224 915563187 921791508 930095936 998796204 1005590736 1026540543 1046357928 1055784576 1075423426 1141481376 1173189192 1183758464 1187757648 1195837632 1220750916 1229055344 1275075648 1319837841 1331728272 1340787648 1357437312 1368720724 1382687262 1395143904 1508386104 1521975168 1564252256 1569536892 1583676864 1613135139 1627667888 1759783788 1775637696 1793756448 1831126374 1843583016 1860191872 1997592408 2011181472 2053081086 2074030893 2092715856 2150846852 2282962752 2346378384 2375515296 2391675264 2441501832 2458110688 2550151296 2639675682 2663456544 2681575296 2737441448 2746689561 2765374524 2790287808 3016772208 3079621629 3128504512 3139073784 3167353728 3226270278 3255335776 3519567576 3551275392 3587512896 3662252748 3687166032 3763981991 3995184816 4022362944 4106162172 4148061786 4185431712 4301693704 4565925504 4692756768 4751030592 4839405417 4883003664 4916221376 5279351364 5326913088 5474882896 5493379122 5530749048 5580575616 6033544416 6159243258 6257009024 6278147568 6452540556 6510671552 7039135152 7175025792 7324505496 7374332064 7527963982 7990369632 8044725888 8212324344 8296123572 8370863424 8603387408 9238864887 9385513536 9502061184 9678810834 9766007328 9832442752 10558702728 10653826176 10949765792 10986758244 11061498096 11291945973 12067088832 12318486516 12556295136 12905081112 13021343104 14078270304 14518216251 14649010992 14748664128 15055927964 15980739264 16424648688 16592247144 16741726848 17206774816 18477729774 18771027072 19357621668 19532014656 21117405456 21899531584 21973516488 22122996192 22583891946 24134177664 24636973032 25112590272 25810162224 28156540608 29036432502 29298021984 29497328256 30111855928 31961478528 32849297376 33184494288 33875837919 34413549632 36955459548 38715243336 39064029312 42234810912 43799063168 43947032976 44245992384 45167783892 49273946064 50225180544 51620324448 56313081216 58072865004 58596043968 60223711856 65698594752 66368988576 67751675838 68827099264 73910919096 77430486672 84469621824 87894065952 88491984768 90335567784 98547892128 101627513757 103240648896 116145730008 117192087936 120447423712 131397189504 132737977152 135503351676 147821838192 154860973344 168939243648 175788131904 180671135568 197095784256 203255027514 206481297792 232291460016 240894847424 265475954304 271006703352 295643676384 309721946688 351576263808 361342271136 394191568512 406510055028 464582920032 481789694848 542013406704 591287352768 619443893376 722684542272 813020110056 929165840064 1084026813408 1182574705536 1445369084544 1626040220112 1858331680128 2168053626816 3252080440224 4336107253632 6504160880448 13008321760896
- Sum of all divisors σ(n): 50083056475200
- Sum of proper divisors (its aliquot sum) s(n): 37074734714304
- 13008321760896 is an abundant number, because the sum of its proper divisors (37074734714304) is greater than itself. Its abundance is 24066412953408
Bases of 13008321760896
- Binary: 101111010100101111000110010111001110100000002
- Hexadecimal: 0xBD4BC65CE80
- Base-36: 4LZXUWTC0
Squares and roots of 13008321760896
- 13008321760896 squared (130083217608962) is 169216435035000410194722816
- 13008321760896 cubed (130083217608963) is 2201221834167040123336299012075747803136
-
The
square root of 13008321760896 is 3606705.1114411891 -
The
cube root of 13008321760896 is 23518.3630493391
Scales and comparisons
How big is 13008321760896?- 13,008,321,760,896 seconds is equal to 413,624 years, 20 weeks, 3 days, 15 hours, 21 minutes, 36 seconds.
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To count from 1 to 13,008,321,760,896 would take you about one million, thirty-four thousand and sixty 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 13008321760896 cubic inches would be around 1959.9 feet tall.
Recreational maths with 13008321760896
- 13008321760896 backwards is 69806712380031
- 13008321760896 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13008321760896's digits is 54
- More coming soon!
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The information we have on file for 13008321760896 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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