13356969326217216

Names of 13356969326217216

• Cardinal: 13356969326217216 can be written as Thirteen quadrillion, three hundred fifty-six trillion, nine hundred sixty-nine billion, three hundred twenty-six million, two hundred seventeen thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.3356969326217216 × 10¹⁶

Factors of 13356969326217216

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 461022

Divisors of 13356969326217216

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 61 63 64 72 84 87 96 112 116 122 126 127 128 144 168 174 183 192 203 224 232 244 252 254 256 261 288 336 348 366 381 384 406 427 448 464 488 504 508 512 522 549 576 609 672 696 732 762 768 812 854 889 896 928 976 1008 1016 1024 1044 1098 1143 1152 1218 1281 1344 1392 1464 1524 1536 1624 1708 1769 1778 1792 1827 1856 1952 2016 2032 2048 2088 2196 2286 2304 2436 2562 2667 2688 2784 2928 3048 3072 3248 3416 3538 3556 3584 3654 3683 3712 3843 3904 4032 4064 4176 4392 4572 4608 4872 5124 5307 5334 5376 5568 5856 6096 6144 6496 6832 7076 7112 7168 7308 7366 7424 7686 7747 7808 8001 8064 8128 8352 8784 9144 9216 9744 10248 10614 10668 10752 11049 11136 11712 12192 12383 12992 13664 14152 14224 14336 14616 14732 14848 15372 15494 15616 15921 16002 16128 16256 16704 17568 18288 18432 19488 20496 21228 21336 21504 22098 22272 23241 23424 24384 24766 25781 25984 27328 28304 28448 29232 29464 29696 30744 30988 31232 31842 32004 32256 32512 33147 33408 35136 36576 37149 38976 40992 42456 42672 43008 44196 44544 46482 46848 48768 49532 51562 51968 54229 54656 56608 56896 58464 58928 59392 61488 61976 62464 63684 64008 64512 65024 66294 66816 69723 70272 73152 74298 77343 77952 81984 84912 85344 88392 89088 92964 93696 97536 99064 103124 103936 108458 109312 111447 113216 113792 116928 117856 122976 123952 124928 127368 128016 129024 130048 132588 133632 139446 140544 146304 148596 154686 155904 162687 163968 169824 170688 176784 178176 185928 187392 195072 198128 206248 207872 216916 218624 222894 224663 226432 227584 232029 233856 235712 245952 247904 254736 256032 260096 265176 267264 278892 281088 292608 297192 309372 311808 325374 327936 339648 341376 353568 371856 374784 390144 396256 412496 415744 433832 437248 445788 449326 452864 455168 460793 464058 467712 471424 488061 491904 495808 509472 512064 530352 534528 557784 562176 585216 594384 618744 623616 650748 655872 673989 679296 682752 707136 743712 780288 792512 824992 867664 874496 891576 898652 905728 910336 921586 928116 935424 942848 976122 983808 991616 1018944 1024128 1060704 1115568 1124352 1170432 1188768 1237488 1247232 1301496 1311744 1347978 1358592 1365504 1382379 1414272 1487424 1572641 1585024 1649984 1735328 1783152 1797304 1811456 1820672 1843172 1856232 1870848 1885696 1952244 1967616 1983232 2021967 2037888 2048256 2121408 2231136 2340864 2377536 2474976 2602992 2623488 2695956 2717184 2731008 2764758 2828544 2974848 3145282 3170048 3225551 3299968 3470656 3566304 3594608 3622912 3686344 3712464 3741696 3771392 3904488 3935232 3966464 4043934 4075776 4096512 4147137 4242816 4462272 4717923 4755072 4949952 5205984 5391912 5434368 5462016 5529516 5657088 5949696 6290564 6340096 6451102 6599936 6941312 7132608 7189216 7372688 7424928 7542784 7808976 7870464 7932928 8087868 8151552 8193024 8294274 8485632 8924544 9435846 9510144 9676653 9899904 10411968 10783824 10868736 11059032 11314176 11899392 12581128 12680192 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78253710432 78651835584 81460829712 82102253568 85674320904 86348921856 89887812096 91295995504 95037634664 95785962496 99953374388 100740408832 102707994942 103523137759 104338280576 104869114112 106917338997 107759207808 108614439616 113332959936 114232427872 117380565648 117977753376 119850416128 122191244568 123153380352 128511481356 129523382784 134831718144 136943993256 142556451996 143678943744 149930061582 151110613248 156507420864 157303671168 162921659424 171348641808 172697843712 179775624192 182591991008 190075269328 191571924992 199906748776 201480817664 205415989884 207046275518 208676561152 209738228224 213834677994 215518415616 217228879232 224895092373 226665919872 228464855744 234761131296 235955506752 244382489136 246306760704 257022962712 259046765568 269663436288 273887986512 285112903992 287357887488 299860123164 302221226496 310569413277 313014841728 314607342336 325843318848 342697283616 359551248384 365183982016 380150538656 399813497552 402961635328 410831979768 414092551036 417353122304 419476456448 427669355988 431036831232 434457758464 449790184746 453331839744 456929711488 469522262592 471911013504 488764978272 514045925424 518093531136 539326872576 547775973024 570225807984 574715774976 599720246328 604442452992 621138826554 626029683456 629214684672 651686637696 685394567232 724661964313 730367964032 760301077312 799626995104 821663959536 828185102072 834706244608 838952912896 855338711976 862073662464 868915516928 899580369492 906663679488 913859422976 931708239831 939044525184 943822027008 977529956544 1028091850848 1078653745152 1095551946048 1140451615968 1199440492656 1208884905984 1242277653108 1252059366912 1258429369344 1303373275392 1370789134464 1449323928626 1460735928064 1520602154624 1599253990208 1643327919072 1656370204144 1669412489216 1710677423952 1724147324928 1737831033856 1799160738984 1813327358976 1827718845952 1863416479662 1878089050368 1887644054016 1955059913088 2056183701696 2173985892939 2191103892096 2280903231936 2398880985312 2484555306216 2504118733824 2516858738688 2606746550784 2741578268928 2898647857252 2921471856128 3041204309248 3198507980416 3286655838144 3312740408288 3421354847904 3475662067712 3598321477968 3626654717952 3655437691904 3726832959324 3756178100736 3775288108032 3910119826176 4112367403392 4347971785878 4382207784192 4561806463872 4797761970624 4969110612432 5008237467648 5213493101568 5483156537856 5797295714504 5842943712256 6082408618496 6397015960832 6521957678817 6573311676288 6625480816576 6842709695808 7196642955936 7310875383808 7453665918648 7512356201472 7550576216064 7820239652352 8224734806784 8695943571756 8764415568384 9123612927744 9595523941248 9938221224864 10426986203136 10966313075712 11594591429008 11685887424512 12164817236992 12794031921664 13043915357634 13146623352576 13250961633152 13685419391616 14393285911872 14907331837296 15024712402944 15640479304704 16449469613568 17391887143512 17528831136768 18247225855488 19191047882496 19876442449728 21932626151424 23189182858016 24329634473984 25588063843328 26087830715268 26293246705152 26501923266304 27370838783232 28786571823744 29814663674592 31280958609408 32898939227136 34783774287024 35057662273536 36494451710976 38382095764992 39752884899456 46378365716032 51176127686656 52175661430536 52586493410304 53003846532608 54741677566464 57573143647488 59629327349184 65797878454272 69567548574048 72988903421952 76764191529984 79505769798912 92756731432064 104351322861072 105172986820608 106007693065216 109483355132928 115146287294976 119258654698368 139135097148096 153528383059968 159011539597824 185513462864128 208702645722144 212015386130432 218966710265856 230292574589952 238517309396736 278270194296192 318023079195648 371026925728256 417405291444288 460585149179904 477034618793472 556540388592384 636046158391296 742053851456512 834810582888576 954069237586944 1113080777184768 1484107702913024 1669621165777152 1908138475173888 2226161554369536 3339242331554304 4452323108739072 6678484663108608 13356969326217216
• Sum of all divisors σ(n): 46721521231257600
• Sum of proper divisors (its aliquot sum) s(n): 33364551905040384
• 13356969326217216 is an abundant number, because the sum of its proper divisors (33364551905040384) is greater than itself. Its abundance is 20007582578823168

Bases of 13356969326217216

• Binary: 101111011101000001011111000011111101110000100000000000₂
• Hexadecimal: 0x2F7417C3F70800
• Base-36: 3NINEZY3NK0

Squares and roots of 13356969326217216

• 13356969326217216 squared (13356969326217216²) is 178408629581507589174280014790656
• 13356969326217216 cubed (13356969326217216³) is 2382998592852646294320244578183698911110623133696
• The square root of 13356969326217216 is 115572355.3719366577
• The cube root of 13356969326217216 is 237266.2554265629

Scales and comparisons

• 13,356,969,326,217,216 seconds is equal to 424,710,308 years, 39 weeks, 1 day, 18 hours, 33 minutes, 36 seconds.
• To count from 1 to 13,356,969,326,217,216 would take you about one billion, two hundred seventy-four million, one hundred thirty thousand, nine hundred twenty-six 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 13356969326217216 cubic inches would be around 19772.2 feet tall.

Recreational maths with 13356969326217216

• 13356969326217216 backwards is 61271262396965331
• 13356969326217216 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13356969326217216's digits is 72
• More coming soon!