138972273181166304

Names of 138972273181166304

• Cardinal: 138972273181166304 can be written as One hundred thirty-eight quadrillion, nine hundred seventy-two trillion, two hundred seventy-three billion, one hundred eighty-one million, one hundred sixty-six thousand, three hundred four.

Scientific notation

• Scientific notation: 1.38972273181166304 × 10¹⁷

Factors of 138972273181166304

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 216654617

Divisors of 138972273181166304

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 79 88 96 99 121 132 144 158 176 198 233 237 242 264 288 316 352 363 396 466 474 484 528 632 699 711 726 792 869 932 948 968 1056 1089 1264 1398 1422 1452 1584 1738 1864 1896 1936 2097 2178 2528 2563 2607 2796 2844 2904 3168 3476 3728 3792 3872 4194 4356 5126 5214 5592 5688 5808 6952 7456 7584 7689 7821 8388 8712 9559 10252 10428 11184 11376 11616 13904 15378 15642 16776 17424 18407 19118 20504 20856 22368 22752 23067 27808 28193 28677 30756 31284 33552 34848 36814 38236 41008 41712 46134 55221 56386 57354 61512 62568 67104 73628 76472 82016 83424 84579 86031 92268 110442 112772 114708 123024 125136 147256 152944 165663 169158 172062 184536 202477 220884 225544 229416 246048 250272 253737 294512 305888 331326 338316 344124 369072 404954 441768 451088 458832 507474 589024 607431 662652 676632 688248 738144 809908 883536 902176 917664 1014948 1214862 1325304 1353264 1376496 1619816 1767072 1822293 2029896 2227247 2429724 2650608 2706528 2752992 3239632 3644586 4059792 4454494 4859448 5301216 6479264 6681741 7289172 8119584 8908988 9718896 13363482 14578344 17817976 19437792 20045223 26726964 29156688 35635952 40090446 53453928 58313376 71271904 80180892 106907856 160361784 213815712 216654289 320723568 433308578 641447136 649962867 866617156 1299925734 1733234312 1949888601 2383197179 2599851468 3466468624 3899777202 4766394358 5199702936 6932937248 7149591537 7799554404 9532788716 10399405872 14299183074 15599108808 17115688831 19065577432 20798811744 21448774611 26215168969 28598366148 31198217616 34231377662 38131154864 42897549222 50480449337 51347066493 52430337938 57196732296 62396435232 68462755324 76262309728 78645506907 85795098444 100960898674 102694132986 104860675876 114393464592 136925510648 151441348011 154041199479 157291013814 171590196888 188272577141 201921797348 205388265972 209721351752 228786929184 235936520721 273851021296 302882696022 308082398958 314582027628 343180393776 376545154282 403843594696 410776531944 419442703504 454324044033 471873041442 547702042592 555284942707 564817731423 605765392044 616164797916 629164055256 686360787552 753090308564 807687189392 821553063888 838885407008 908648088066 943746082884 1110569885414 1129635462846 1211530784088 1232329595832 1258328110512 1506180617128 1615374378784 1643106127776 1665854828121 1694453194269 1817296176132 1887492165768 2070998348551 2221139770828 2259270925692 2423061568176 2464659191664 2516656221024 3012361234256 3331709656242 3388906388538 3634592352264 3774984331536 3987955497623 4141996697102 4442279541656 4518541851384 4846123136352 4929318383328 4997564484363 6024722468512 6108134369777 6212995045653 6663419312484 6777812777076 7269184704528 7549968663072 7975910995246 8283993394204 8884559083312 9037083702768 9995128968726 11963866492869 12216268739554 12425990091306 13326838624968 13555625554152 14538369409056 15951821990492 16567986788408 17769118166624 18074167405536 18324403109331 18638985136959 19990257937452 23927732985738 24432537479108 24851980182612 26653677249936 27111251108304 31903643980984 33135973576816 35891599478607 36648806218662 37277970273918 39980515874904 43867510473853 47855465971476 48865074958216 49703960365224 53307354499872 54222502216608 54973209327993 63807287961968 66271947153632 71783198957214 73297612437324 74555940547836 79961031749808 87735020947706 95710931942952 97730149916432 99407920730448 109946418655986 127614575923936 131602531421559 143566397914428 146595224874648 149111881095672 159922063499616 175470041895412 191421863885904 195460299832864 198815841460896 219892837311972 263205062843118 287132795828856 293190449749296 298223762191344 350940083790824 382843727771808 394807594264677 439785674623944 482542615212383 526410125686236 574265591657712 586380899498592 596447524382688 701880167581648 789615188529354 879571349247888 965085230424766 1052820251372472 1148531183315424 1403760335163296 1447627845637149 1579230377058708 1759142698495776 1930170460849532 2105640502744944 2895255691274298 3158460754117416 3860340921699064 4211281005489888 4342883536911447 5790511382548596 6316921508234832 7720681843398128 8685767073822894 11581022765097192 12633843016469664 15441363686796256 17371534147645788 23162045530194384 34743068295291576 46324091060388768 69486136590583152 138972273181166304
• Sum of all divisors σ(n): 441782674572657600
• Sum of proper divisors (its aliquot sum) s(n): 302810401391491296
• 138972273181166304 is an abundant number, because the sum of its proper divisors (302810401391491296) is greater than itself. Its abundance is 163838128210324992

Bases of 138972273181166304

• Binary: 111101101101110101000101111010000100101111000101011100000₂
• Hexadecimal: 0x1EDBA8BD0978AE0
• Base-36: 120DK4XQAYG0

Squares and roots of 138972273181166304

• 138972273181166304 squared (138972273181166304²) is 19313292713140715148599213705020416
• 138972273181166304 cubed (138972273181166304³) is 2684012190958420011956201089987969047170263011262464
• The square root of 138972273181166304 is 372789851.2314495721
• The cube root of 138972273181166304 is 517975.7013457125

Scales and comparisons

• 138,972,273,181,166,304 seconds is equal to 4,418,888,417 years, 36 weeks, 1 day, 6 hours, 38 minutes, 24 seconds.
• To count from 1 to 138,972,273,181,166,304 would take you about thirteen billion, two hundred fifty-six million, six hundred sixty-five thousand, two hundred fifty-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 138972273181166304 cubic inches would be around 43164.6 feet tall.

Recreational maths with 138972273181166304

• 138972273181166304 backwards is 403661181372279831
• 138972273181166304 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138972273181166304's digits is 72
• More coming soon!