13137191753496213585

Names of 13137191753496213585

• Cardinal: 13137191753496213585 can be written as Thirteen quintillion, one hundred thirty-seven quadrillion, one hundred ninety-one trillion, seven hundred fifty-three billion, four hundred ninety-six million, two hundred thirteen thousand, five hundred eighty-five.

Scientific notation

• Scientific notation: 1.3137191753496213585 × 10¹⁹

Factors of 13137191753496213585

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 970956

Divisors of 13137191753496213585

• Number of divisors d(n): 256
• Complete list of divisors:
  1 3 5 7 13 15 21 35 39 65 73 91 105 195 219 273 365 455 511 949 1093 1095 1365 1533 2555 2847 3279 4745 5465 6643 7651 7665 14209 14235 16395 19929 22953 33215 38255 42627 71045 79789 99463 99645 114765 146521 213135 239367 298389 398945 439563 497315 558523 732605 823241 1025647 1037257 1196835 1491945 1675569 1904773 2197815 2469723 2792615 3076941 3111771 4116205 5128235 5186285 5714319 5762687 7260799 8377845 9523865 10696033 10702133 12348615 13333411 15384705 15558855 17288061 21782397 28571595 28813435 32088099 32106399 36303995 40000233 53480165 53510665 60096593 66667055 74872231 74914931 86440305 108911985 139048429 160147453 160440495 160531995 180289779 200001165 224616693 224744793 300482965 374361155 374574655 417145287 420676151 480442359 695242145 781255709 800737265 899802413 901448895 973339003 1121032171 1123083465 1123723965 1262028453 2081916889 2085726435 2103380755 2343767127 2402211795 2699407239 2920017009 3363096513 3906278545 4499012065 4866695015 5468789963 5605160855 6245750667 6298616891 6310142265 10409584445 11690764069 11697431369 11718835635 13497036195 14573418223 14600085045 16406369889 16815482565 18895850673 27343949815 31228753335 31493084455 35072292207 35092294107 43720254669 58453820345 58487156845 65685576149 72867091115 81835348483 81882019583 82031849445 94479253365 120622094561 151979932897 175361461035 175461470535 197056728447 218601273345 245506045449 245646058749 328427880745 361866283683 409176742415 409410097915 455939798691 459799033043 603110472805 759899664485 844354661927 853912489937 985283642235 1063859530279 1227530227245 1228230293745 1379397099129 1568087229293 1809331418415 2279698993455 2298995165215 2533063985781 2561737469811 3191578590837 4221773309635 4269562449685 4704261687879 5319297651395 5977387429559 6896985495645 7840436146465 8805412902953 10976610605051 12665319928905 12808687349055 15957892954185 17932162288677 23521308439395 26416238708859 29886937147795 32929831815153 44027064514765 54883053025255 61637890320671 89660811443385 114470367738389 131839949355173 132081193544295 164649159075765 184913670962013 308189451603355 343411103215167 395519848065519 572351838691945 659199746775865 801292574168723 922879645486211 924568354810065 1713919341617249 1717055516075835 1977599240327595 2403877722506169 2768638936458633 4006462870843615 4614398227431055 5141758024851747 8569596708086245 9624316302927629 11997435391320743 12019388612530845 13843194682293165 25708790124258735 28872948908782887 35992306173962229 48121581514638145 59987176956603715 67370214120493403 125116111938059177 144364744543914435 179961530869811145 202110642361480209 336851070602467015 375348335814177531 625580559690295885 875812783566414239 1010553211807401045 1876741679070887655 2627438350699242717 4379063917832071195 13137191753496213585
• Sum of all divisors σ(n): 26248752218072143872
• Sum of proper divisors (its aliquot sum) s(n): 13111560464575930287
• 13137191753496213585 is a deficient number, because the sum of its proper divisors (13111560464575930287) is less than itself. Its deficiency is 25631288920283298

Bases of 13137191753496213585

• Binary: 1011011001010000101011100100101111000101010101010011100001010001₂
• Hexadecimal: 0xB650AE4BC5553851
• Base-36: 2RT61TBGG6ZBL

Squares and roots of 13137191753496213585

• 13137191753496213585 squared (13137191753496213585²) is 172585807168128919042423356931938552225
• 13137191753496213585 cubed (13137191753496213585³) is 2267292842699630941779944730481054191623961630424276976625
• The square root of 13137191753496213585 is 3624526417.8229151907
• The cube root of 13137191753496213585 is 2359577.1382494519

Scales and comparisons

• 13,137,191,753,496,213,585 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 13,137,191,753,496,213,585 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13137191753496213585 cubic inches would be around 196631.4 feet tall.

Recreational maths with 13137191753496213585

• 13137191753496213585 backwards is 58531269435719173131
• The number of decimal digits it has is: 20
• The sum of 13137191753496213585's digits is 84
• More coming soon!