13824545984806375

Names of 13824545984806375

• Cardinal: 13824545984806375 can be written as Thirteen quadrillion, eight hundred twenty-four trillion, five hundred forty-five billion, nine hundred eighty-four million, eight hundred six thousand, three hundred seventy-five.

Scientific notation

• Scientific notation: 1.3824545984806375 × 10¹⁶

Factors of 13824545984806375

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 215

Divisors of 13824545984806375

• Number of divisors d(n): 384
• Complete list of divisors:
  1 5 7 13 25 35 65 89 91 101 125 169 175 325 445 455 505 623 707 845 875 1157 1183 1313 1625 2197 2225 2275 2525 3115 3535 4225 5785 5915 6565 7921 8099 8989 9191 10201 10985 11125 11375 12625 15041 15379 15575 17069 17675 21125 28925 29575 32825 39605 40495 44945 45955 51005 54925 55447 62923 71407 75205 76895 77875 85345 88375 102973 105287 116857 119483 132613 144625 147875 164125 195533 198025 202475 221897 224725 229775 255025 274625 277235 314615 357035 376025 384475 426725 514865 526435 584285 597415 663065 704969 720811 800021 817999 907889 928291 977665 990125 1012375 1109485 1123625 1148875 1275125 1338649 1368731 1386175 1519141 1553279 1573075 1723969 1785175 1880125 1922375 2133625 2574325 2632175 2921425 2987075 3315325 3524845 3604055 4000105 4089995 4539445 4641455 4888325 4934783 5547425 5600147 6355223 6693245 6843655 6930875 7595705 7766395 7865375 8619845 8925875 9164597 9370543 10400273 10633987 11802557 12067783 12871625 13160875 14607125 14935375 16576625 17402437 17624225 18020275 19748833 20000525 20449975 22411597 22697225 23207275 24441625 24673915 27737125 28000735 31776115 33466225 34218275 37978525 38831975 43099225 45822985 46852715 52001365 53169935 59012785 60338915 64152179 71201869 72801911 80802121 82617899 87012185 88121125 90101375 98744165 100002625 102249875 112057985 113486125 116036375 119139761 121817059 123369575 135203549 138241831 140003675 153433241 156881179 158880575 167331125 171091375 189892625 194159875 215496125 229114925 234263575 260006825 265849675 295063925 301694575 320760895 356009345 364009555 404010605 413089495 435060925 493720825 498413083 560289925 565614847 595698805 609085295 616847875 676017745 691209155 700018375 767166205 784405895 794402875 833978327 925624297 946424843 1050427573 1074032687 1145574625 1171317875 1300034125 1329248375 1475319625 1508472875 1548816893 1603804475 1757646137 1780046725 1820047775 1994632133 2020053025 2065447475 2175304625 2468604125 2492065415 2801449625 2828074235 2978494025 3045426475 3380088725 3456045775 3835831025 3922029475 4169891635 4628121485 4732124215 5252137865 5370163435 6479370079 7191388769 7352993011 7744084465 8019022375 8788230685 8900233625 9100238875 9973160665 10100265125 10327237375 10841718251 12033115861 12303522959 12460327075 13655558449 13962424931 14140371175 14892470125 15227132375 16900443625 17280228875 19179155125 19610147375 20849458175 23140607425 23660621075 26260689325 26850817175 32396850395 35956943845 36764965055 38720422325 43941153425 49865803325 50339721383 54208591255 60165579305 61517614795 62301635375 68277792245 69812124655 70701855875 84231811027 93488053997 95588909143 104247290875 115703037125 118303105375 131303446625 134254085875 156430506193 161984251975 177522259837 179784719225 183824825275 193602111625 219705767125 249329016625 251698606915 271042956275 300827896525 307588073975 341388961225 349060623275 421159055135 467440269985 477944545715 654416377979 782152530965 809921259875 887611299185 898923596125 919124126375 1095013543351 1215344701961 1242655818859 1258493034575 1355214781375 1504139482625 1537940369875 1706944806125 1745303116375 2105795275675 2337201349925 2389722728575 3272081889895 3910762654825 4438056495925 5475067716755 6076723509805 6213279094295 6292465172875 8507412913727 10528976378375 11686006749625 11948613642875 15799481125493 16360409449475 19553813274125 22190282479625 27375338583775 30383617549025 31066395471475 42537064568635 78997405627465 81802047247375 110596367878451 136876692918875 151918087745125 155331977357375 212685322843175 394987028137325 552981839392255 1063426614215875 1974935140686625 2764909196961275 13824545984806375
• Sum of all divisors σ(n): 21818886831705600
• Sum of proper divisors (its aliquot sum) s(n): 7994340846899225
• 13824545984806375 is a deficient number, because the sum of its proper divisors (7994340846899225) is less than itself. Its deficiency is 5830205137907150

Bases of 13824545984806375

• Binary: 110001000111010101100111110000100110101111110111100111₂
• Hexadecimal: 0x311D59F09AFDE7
• Base-36: 3S4E4R05JHJ

Squares and roots of 13824545984806375

• 13824545984806375 squared (13824545984806375²) is 191118071686026064792346240640625
• 13824545984806375 cubed (13824545984806375³) is 2642120570550988578000173282982778130796583984375
• The square root of 13824545984806375 is 117577829.4782072213
• The cube root of 13824545984806375 is 240003.1595927001

Scales and comparisons

• 13,824,545,984,806,375 seconds is equal to 439,577,800 years, 9 weeks, 5 days, 14 hours, 12 minutes, 55 seconds.
• To count from 1 to 13,824,545,984,806,375 would take you about one billion, three hundred eighteen million, seven hundred thirty-three thousand, four hundred 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 13824545984806375 cubic inches would be around 20000.3 feet tall.

Recreational maths with 13824545984806375

• 13824545984806375 backwards is 57360848954542831
• The number of decimal digits it has is: 17
• The sum of 13824545984806375's digits is 82
• More coming soon!