105968831982741504

Names of 105968831982741504

• Cardinal: 105968831982741504 can be written as One hundred five quadrillion, nine hundred sixty-eight trillion, eight hundred thirty-one billion, nine hundred eighty-two million, seven hundred forty-one thousand, five hundred four.

Scientific notation

• Scientific notation: 1.05968831982741504 × 10¹⁷

Factors of 105968831982741504

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2445234

Divisors of 105968831982741504

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1024 1152 1344 1512 1536 1728 1792 2016 2048 2304 2688 3024 3072 3456 3584 4032 4608 5376 6048 6144 6912 7168 8064 9216 10752 12096 13824 14336 16128 18432 21504 24192 27648 32256 43008 48384 55296 64512 96768 117619 129024 193536 235238 352857 387072 470476 705714 823333 940952 1058571 1411428 1646666 1881904 2117142 2327603 2469999 2822856 3175713 3293332 3763808 4234284 4655206 4939998 5645712 6351426 6586664 6982809 7409997 7527616 8468568 9310412 9879996 11291424 12702852 13173328 13965618 14819994 15055232 16293221 16937136 18620824 19759992 20948427 22229991 22582848 25405704 26346656 27931236 29639988 30110464 32586442 33874272 37241648 39519984 41896854 44459982 45165696 48879663 50811408 52693312 55862472 59279976 60220928 62845281 65172884 67748544 74483296 79039968 83793708 88919964 90331392 97759326 101622816 105386624 111724944 118559952 120441856 125690562 130345768 135497088 146638989 148966592 158079936 167587416 177839928 180662784 195518652 203245632 210773248 223449888 237119904 240883712 251381124 260691536 270994176 293277978 297933184 316159872 335174832 355679856 361325568 391037304 406491264 421546496 439916967 446899776 474239808 502762248 521383072 541988352 586555956 595866368 632319744 670349664 711359712 722651136 782074608 812982528 843092992 879833934 893799552 948479616 1005524496 1042766144 1083976704 1173111912 1191732736 1264639488 1340699328 1422719424 1564149216 1625965056 1686185984 1759667868 1787599104 1896959232 2011048992 2085532288 2167953408 2346223824 2383465472 2529278976 2681398656 2845438848 3128298432 3251930112 3519335736 3575198208 3793918464 4022097984 4171064576 4692447648 4766930944 5058557952 5362797312 5690877696 6256596864 6503860224 7038671472 7150396416 7587836928 8044195968 8342129152 9384895296 10725594624 11381755392 12513193728 14077342944 14300792832 15175673856 16088391936 16684258304 18769790592 21451189248 22763510784 25026387456 28154685888 32176783872 33368516608 37539581184 42902378496 45527021568 50052774912 56309371776 64353567744 75079162368 100105549824 112618743552 128707135488 150158324736 225237487104 273770337257 300316649472 450474974208 547540674514 821311011771 900949948416 1095081349028 1642622023542 1916392360799 2190162698056 2463933035313 3285244047084 3832784721598 4380325396112 4927866070626 5749177082397 6570488094168 7391799105939 7665569443196 8760650792224 9855732141252 11498354164794 13140976188336 14783598211878 15331138886392 17247531247191 17521301584448 19711464282504 22996708329588 26281952376672 29567196423756 30662277772784 34495062494382 35042603168896 39422928565008 45993416659176 51742593741573 52563904753344 59134392847512 61324555545568 68990124988764 70085206337792 78845857130016 91986833318352 103485187483146 105127809506688 118268785695024 122649111091136 137980249977528 140170412675584 157691714260032 183973666636704 206970374966292 210255619013376 236537571390048 245298222182272 275960499955056 280340825351168 315383428520064 367947333273408 413940749932584 420511238026752 473075142780096 490596444364544 551920999910112 560681650702336 630766857040128 735894666546816 827881499865168 841022476053504 946150285560192 981192888729088 1103841999820224 1261533714080256 1471789333093632 1655762999730336 1682044952107008 1892300571120384 1962385777458176 2207683999640448 2523067428160512 2943578666187264 3311525999460672 3784601142240768 3924771554916352 4415367999280896 5046134856321024 5887157332374528 6623051998921344 7569202284481536 8830735998561792 11774314664749056 13246103997842688 15138404568963072 17661471997123584 26492207995685376 35322943994247168 52984415991370752 105968831982741504
• Sum of all divisors σ(n): 358751854161792000
• Sum of proper divisors (its aliquot sum) s(n): 252783022179050496
• 105968831982741504 is an abundant number, because the sum of its proper divisors (252783022179050496) is greater than itself. Its abundance is 146814190196308992

Bases of 105968831982741504

• Binary: 101111000011110100001011101011011100110000010100000000000₂
• Hexadecimal: 0x1787A175B982800
• Base-36: SZETDCWD1C0

Squares and roots of 105968831982741504

• 105968831982741504 squared (105968831982741504²) is 11229393351786498673904511684182016
• 105968831982741504 cubed (105968831982741504³) is 1189965697363577937598976102485534791641903413592064
• The square root of 105968831982741504 is 325528542.5008711951
• The cube root of 105968831982741504 is 473215.9588803267

Scales and comparisons

• 105,968,831,982,741,504 seconds is equal to 3,369,481,073 years, 48 weeks, 3 days, 8 hours, 38 minutes, 24 seconds.
• To count from 1 to 105,968,831,982,741,504 would take you about ten billion, one hundred eight million, four hundred forty-three thousand, two hundred twenty-one 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 105968831982741504 cubic inches would be around 39434.7 feet tall.

Recreational maths with 105968831982741504

• 105968831982741504 backwards is 405147289138869501
• The number of decimal digits it has is: 18
• The sum of 105968831982741504's digits is 81
• More coming soon!