331201540272256641

Names of 331201540272256641

• Cardinal: 331201540272256641 can be written as Three hundred thirty-one quadrillion, two hundred one trillion, five hundred forty billion, two hundred seventy-two million, two hundred fifty-six thousand, six hundred forty-one.

Scientific notation

• Scientific notation: 3.31201540272256641 × 10¹⁷

Factors of 331201540272256641

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1699

Divisors of 331201540272256641

• Number of divisors d(n): 405
• Complete list of divisors:
  1 3 9 13 27 39 43 73 81 117 129 169 219 351 387 507 559 657 949 1053 1161 1521 1567 1677 1849 1971 2847 3139 3483 4563 4701 5031 5329 5547 5913 7267 8541 9417 12337 13689 14103 15093 15987 16641 20371 21801 24037 25623 28251 37011 40807 42309 45279 47961 49923 61113 65403 67381 69277 72111 76869 84753 111033 114391 122421 126927 134977 143883 149769 183339 196209 202143 207831 216333 229147 254259 264823 312481 333099 343173 367263 404931 431649 530491 550017 588627 606429 623493 648999 687441 794469 875953 900601 937443 999297 1029519 1101789 1214793 1487083 1591473 1650051 1754701 1819287 1870479 1946997 2062323 2383407 2455489 2627859 2701803 2812329 2897383 2978911 3088557 3305367 3644379 4461249 4774419 4918813 5264103 5457861 5611437 6186969 7150221 7366467 7883577 8105409 8350543 8436987 8692149 8936733 9265671 9853321 10933137 11387389 13383747 14323257 14756439 15792309 18560907 19332079 21450663 22099401 22811113 23650731 24316227 25051629 25310961 26076447 26810199 29559963 31921357 34162167 37665979 38725843 40151241 42969771 44269317 47376927 57996237 63944569 66298203 68433339 70952193 72948681 75154887 78229341 80430597 88679889 95764071 102486501 105586027 108557059 112997937 116177529 120453723 128093173 132807951 142130781 173988711 179250697 191833707 198894609 205300017 211508959 225464661 234688023 241291791 266039667 287292213 307459503 316758081 325671177 338993811 348532587 359073349 384279519 398423853 414977641 489657727 521966133 537752091 575501121 615900051 634526877 676393983 798119001 831279397 861876639 922378509 950274243 977013531 1016981433 1045597761 1077220047 1152838557 1244932923 1372618351 1411241767 1468973181 1565898399 1613256273 1665211249 1726503363 1847700153 1903580631 2330259061 2493838191 2585629917 2749616467 2850822729 2931040593 3050944299 3136793283 3231660141 3458515671 3734798769 4117855053 4233725301 4406919543 4540199161 4667953537 4839768819 4995633747 5179510089 5710741893 6990777183 7481514573 7707779971 8248849401 8552468187 8793121779 9694980423 10375547013 11204396307 12353565159 12701175903 13085300881 13220758629 13620597483 14003860611 14519306457 14986901241 15440154007 17132225679 17844038563 20972331549 22444543719 23123339913 24746548203 29084941269 30293367793 33613188921 35745014071 37060695477 38103527709 39255902643 39662275887 40861792449 42011581833 44960703723 46320462021 53532115689 59022589093 60683395981 62916994647 67333631157 69370019739 74239644609 90880103379 100201139623 107235042213 111182086431 114310583127 117767707929 122585377347 126034745499 134882111169 138961386063 160596347067 170108911453 177067767279 182050187943 188750983941 200722002091 208110059217 222718933827 272640310137 300603418869 321705126639 331434538753 353303123787 367756132041 378104236497 416884158189 481789041201 510326734359 531203301837 546150563829 562667937883 602166006273 624330177651 767293658209 817920930411 901810256607 965115379917 994303616259 1059909371361 1250652474567 1302614815099 1445367123603 1530980203077 1593609905511 1638451691487 1688003813649 1806498018819 2211415848889 2301880974627 2453762791233 2609386027183 2705430769821 2895346139751 2982910848777 3907844445297 4308649003789 4592940609231 4780829716533 4915355074461 5064011440947 5419494056457 6634247546667 6905642923881 7314683192479 7828158081549 8116292309463 8948732546331 11723533335891 12925947011367 13778821827693 15192034322841 16258482169371 19902742640001 20716928771643 21944049577437 23484474244647 24194721328969 26846197638993 35170600007673 38777841034101 45576102968523 56012437049257 59708227920003 62150786314929 65832148732311 70453422733941 72584163986907 95090881502227 105511800023019 116333523102303 168037311147771 179124683760009 197496446196933 211360268201823 217752491960721 285272644506681 314531377276597 349000569306909 504111933443313 592489338590799 653257475882163 855817933520043 943594131829791 1512335800329939 1959772427646489 2567453800560129 2830782395489373 4088907904595761 4537007400989817 7702361401680387 8492347186468119 12266723713787283 25477041559404357 36800171141361849 110400513424085547 331201540272256641
• Sum of all divisors σ(n): 556464256108236729
• Sum of proper divisors (its aliquot sum) s(n): 225262715835980088
• 331201540272256641 is a deficient number, because the sum of its proper divisors (225262715835980088) is less than itself. Its deficiency is 105938824436276553

Bases of 331201540272256641

• Binary: 10010011000101010100000101111001100111111010111011010000001₂
• Hexadecimal: 0x498AA0BCCFD7681
• Base-36: 2IL55B4BQR29

Squares and roots of 331201540272256641

• 331201540272256641 squared (331201540272256641²) is 109694460278715237622977958568602881
• 331201540272256641 cubed (331201540272256641³) is 36330974203644361213987173654726273252561728443982721
• 331201540272256641 is a perfect square number. Its square root is 575501121
• The cube root of 331201540272256641 is 691880.0093445041

Scales and comparisons

• 331,201,540,272,256,641 seconds is equal to 10,531,184,507 years, 1 week, 3 days, 12 hours, 37 minutes, 21 seconds.
• To count from 1 to 331,201,540,272,256,641 would take you about thirty-one billion, five hundred ninety-three million, five hundred fifty-three thousand, five 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 331201540272256641 cubic inches would be around 57656.7 feet tall.

Recreational maths with 331201540272256641

• 331201540272256641 backwards is 146652272045102133
• The number of decimal digits it has is: 18
• The sum of 331201540272256641's digits is 54
• More coming soon!