137331757012103199

Names of 137331757012103199

• Cardinal: 137331757012103199 can be written as One hundred thirty-seven quadrillion, three hundred thirty-one trillion, seven hundred fifty-seven billion, twelve million, one hundred three thousand, one hundred ninety-nine.

Scientific notation

• Scientific notation: 1.37331757012103199 × 10¹⁷

Factors of 137331757012103199

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 12025

Divisors of 137331757012103199

• Number of divisors d(n): 324
• Complete list of divisors:
  1 3 7 9 13 21 27 39 49 63 79 81 91 117 147 189 237 243 273 351 441 553 567 637 711 819 1027 1053 1323 1659 1701 1911 2133 2457 3081 3159 3871 3969 4977 5733 6241 6399 7189 7371 9243 11613 11907 11923 14931 17199 18723 19197 21567 22113 27729 34839 35769 43687 44793 50323 51597 56169 64701 81133 83187 83461 104517 107307 131061 134379 150969 154791 154999 168507 194103 243399 249561 250383 305809 313551 321921 393183 452907 464997 505521 567931 582309 584227 730197 751149 917427 940653 941917 965763 1084993 1179549 1358721 1394991 1516563 1703793 1746927 1752681 2190591 2253447 2752281 2825751 2897289 3254979 3538647 3975517 4076163 4184973 5111379 5258043 6571773 6593419 6760341 7594951 8256843 8477253 9764937 10615941 11926551 12228489 12244921 12554919 15334137 15774129 19715319 19780257 20281023 22784853 24770529 25431759 29294811 35779653 36734763 37664757 46002411 46153933 47322387 59340771 68354559 74311587 74411443 76295277 85714447 87884433 107338959 110204289 138007233 138461799 141967161 142157929 178022313 205063677 223234329 228885831 257143341 263653299 322016877 330612867 415385397 426473787 520880101 534066939 600001129 615191031 669702987 771430023 966050631 967348759 991838601 995105503 1246156191 1279421361 1562640303 1602200817 1800003387 1845573093 1848053077 2009108961 2314290069 2902046277 2975515803 2985316509 3646160707 3738468573 3838264083 4687920909 5400010161 5544159231 6027326883 6771441313 6942870207 6965738521 8706138831 8955949527 10938482121 11215405719 11230476391 11514792249 12936371539 14063762727 16200030483 16632477693 18081980649 20314323939 20828610621 20897215563 26118416493 26867848581 32815446363 33691429173 34544376747 38809114617 42191288181 47400089191 48600091449 49897433079 60942971817 62691646689 78355249479 78613334737 80603545743 90554600773 98446339089 101074287519 116427343851 126573864543 142200267573 145800274347 145996193083 149692299237 182828915451 188074940067 235065748437 235840004211 241810637229 271663802319 295339017267 303222862557 349282031553 426600802719 437988579249 449076897711 548486746353 550293343159 564224820201 707520012633 814991406957 886017051801 887207634889 909668587671 1021973351581 1047846094659 1279802408157 1313965737747 1645460239059 1650880029477 1692674460603 2122560037899 2444974220871 2661622904667 2729005763013 3065920054743 3143538283977 3839407224471 3941897213241 4952640088431 6210453444223 6367680113697 7153813461067 7334922662613 7984868714001 9197760164229 11518221673413 11533699253557 11825691639723 14857920265293 18631360332669 19103040341091 21461440383201 22004767987839 23954606142003 27593280492687 34601097760671 35477074919169 43473174109561 44573760795879 55894080998007 64384321149603 71863818426009 80735894774899 82779841478061 103803293282013 130419522328683 133721282387637 167682242994021 193152963448809 215591455278027 242207684324697 248339524434183 311409879846039 391258566986049 503046728982063 565151263424293 579458890346427 726623052974091 934229639538117 1173775700958147 1509140186946189 1695453790272879 1738376671039281 2179869158922273 2802688918614351 3521327102874441 5086361370818637 6539607476766819 10563981308623323 15259084112455911 19618822430300457 45777252337367733 137331757012103199
• Sum of all divisors σ(n): 261034301298233736
• Sum of proper divisors (its aliquot sum) s(n): 123702544286130537
• 137331757012103199 is a deficient number, because the sum of its proper divisors (123702544286130537) is less than itself. Its deficiency is 13629212725972662

Bases of 137331757012103199

• Binary: 111100111111001101000000101100001000101100011000000011111₂
• Hexadecimal: 0x1E7E6816116301F
• Base-36: 11K81M7O46XR

Squares and roots of 137331757012103199

• 137331757012103199 squared (137331757012103199²) is 18860011484031356168127773426033601
• 137331757012103199 cubed (137331757012103199³) is 2590078514370470057795291351037831865569153453589599
• The square root of 137331757012103199 is 370582996.1184177147
• The cube root of 137331757012103199 is 515929.4580019953

Scales and comparisons

• 137,331,757,012,103,199 seconds is equal to 4,366,725,077 years, 50 weeks, 2 days, 19 hours, 46 minutes, 39 seconds.
• To count from 1 to 137,331,757,012,103,199 would take you about thirteen billion, one hundred million, one hundred seventy-five thousand, two hundred thirty-three 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 137331757012103199 cubic inches would be around 42994.1 feet tall.

Recreational maths with 137331757012103199

• 137331757012103199 backwards is 991301210757133731
• 137331757012103199 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137331757012103199's digits is 63
• More coming soon!