146315367990607536

Names of 146315367990607536

• Cardinal: 146315367990607536 can be written as One hundred forty-six quadrillion, three hundred fifteen trillion, three hundred sixty-seven billion, nine hundred ninety million, six hundred seven thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 1.46315367990607536 × 10¹⁷

Factors of 146315367990607536

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2536681

Divisors of 146315367990607536

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 109 112 126 144 147 168 196 218 252 294 327 336 392 436 441 504 588 654 763 784 872 882 981 1008 1176 1308 1526 1744 1764 1962 2289 2352 2616 3052 3528 3924 4578 5232 5341 6104 6867 7056 7848 9156 10682 12208 13734 15696 16023 18312 21364 27468 32046 36624 42728 48069 54936 64092 77359 85456 96138 109872 128184 154718 192276 232077 256368 309436 384552 464154 541513 618872 696231 769104 928308 1083026 1237744 1392462 1624539 1856616 2166052 2459201 2784924 3249078 3713232 3790591 4332104 4873617 4918402 5569848 6498156 7377603 7581182 8432131 8664208 9747234 9836804 11139696 11371773 12996312 14755206 15162364 16864262 17214407 19494468 19673608 22132809 22743546 25296393 25992624 29510412 30324728 33728524 34115319 34428814 38988936 39347216 44265618 45487092 50592786 51643221 59020824 59024917 60649456 67457048 68230638 68857628 75889179 77977872 88531236 90974184 101185572 103286442 118041648 118049834 120500849 134914096 136461276 137715256 151778358 154929663 177062472 177074751 181948368 202371144 206572884 236099668 241001698 268052909 272922552 275430512 303556716 309859326 354124944 354149502 361502547 404742288 413145768 413174419 472199336 482003396 531224253 536105818 545845104 607113432 619718652 708299004 723005094 804158727 826291536 826348838 944398672 964006792 1062448506 1072211636 1084507641 1214226864 1239437304 1239523257 1416598008 1446010188 1608317454 1652697676 1876370363 1928013584 2124897012 2144423272 2169015282 2412476181 2478874608 2479046514 2833196016 2892020376 3216634908 3305395352 3718569771 3752740726 4249794024 4288846544 4338030564 4824952362 4958093028 5629111089 5784040752 6433269816 6610790704 7437139542 7505481452 8499588048 8676061128 9649904724 9916186056 11258222178 12866539632 13134592541 14874279084 15010962904 16887333267 17352122256 19299809448 19832372112 22516444356 26269185082 29748558168 30021925808 33774666534 38599618896 39403777623 45032888712 52538370164 59497116336 67549333068 78807555246 90065777424 105076740328 118211332869 135098666136 157615110492 190241330159 210153480656 236422665738 270197332272 315230220984 380482660318 472845331476 570723990477 630460441968 760965320636 945690662952 1141447980954 1331689311113 1521930641272 1712171971431 1891381325904 2282895961908 2663378622226 3043861282544 3424343942862 3995067933339 4565791923816 5326757244452 6848687885724 7990135866678 9131583847632 9321825177791 10653514488904 11985203800017 13697375771448 15980271733356 18643650355582 20736304987331 21307028977808 23970407600034 27394751542896 27965475533373 31960543466712 37287300711164 41472609974662 47940815200068 55930951066746 62208914961993 63921086933424 74574601422328 82945219949324 83896426600119 95881630400136 111861902133492 124417829923986 145154134911317 149149202844656 165890439898648 167792853200238 186626744885979 191763260800272 223723804266984 248835659847972 290308269822634 331780879797296 335585706400476 373253489771958 435462404733951 447447608533968 497671319695944 580616539645268 671171412800952 746506979543916 870924809467902 995342639391888 1016078944379219 1161233079290536 1306387214201853 1342342825601904 1493013959087832 1741849618935804 2032157888758438 2322466158581072 2612774428403706 2986027918175664 3048236833137657 3483699237871608 4064315777516876 5225548856807412 6096473666275314 6967398475743216 8128631555033752 9144710499412971 10451097713614824 12192947332550628 16257263110067504 18289420998825942 20902195427229648 24385894665101256 36578841997651884 48771789330202512 73157683995303768 146315367990607536
• Sum of all divisors σ(n): 480710104866763200
• Sum of proper divisors (its aliquot sum) s(n): 334394736876155664
• 146315367990607536 is an abundant number, because the sum of its proper divisors (334394736876155664) is greater than itself. Its abundance is 188079368885548128

Bases of 146315367990607536

• Binary: 1000000111110100010000110101001110010000101011111010110000₂
• Hexadecimal: 0x207D10D4E42BEB0
• Base-36: 140OGW4ER7W0

Squares and roots of 146315367990607536

• 146315367990607536 squared (146315367990607536²) is 21408186910226900346914714379991296
• 146315367990607536 cubed (146315367990607536³) is 3132346745781556262898576705783334345152577432006656
• The square root of 146315367990607536 is 382511918.7562755357
• The cube root of 146315367990607536 is 526942.6056609241

Scales and comparisons

• 146,315,367,990,607,536 seconds is equal to 4,652,376,118 years, 49 weeks, 3 days, 16 hours, 45 minutes, 36 seconds.
• To count from 1 to 146,315,367,990,607,536 would take you about thirteen billion, nine hundred fifty-seven million, one hundred twenty-eight thousand, three hundred fifty-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 146315367990607536 cubic inches would be around 43911.9 feet tall.

Recreational maths with 146315367990607536

• 146315367990607536 backwards is 635706099763513641
• The number of decimal digits it has is: 18
• The sum of 146315367990607536's digits is 81
• More coming soon!