138008363719867515

Names of 138008363719867515

• Cardinal: 138008363719867515 can be written as One hundred thirty-eight quadrillion, eight trillion, three hundred sixty-three billion, seven hundred nineteen million, eight hundred sixty-seven thousand, five hundred fifteen.

Scientific notation

• Scientific notation: 1.38008363719867515 × 10¹⁷

Factors of 138008363719867515

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1744

Divisors of 138008363719867515

• Number of divisors d(n): 324
• Complete list of divisors:
  1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 823 841 877 1015 1305 1827 2469 2523 2631 3045 4115 4205 4385 5761 5887 6139 7407 7569 7893 9135 12345 12615 13155 17283 17661 18417 23867 25433 28805 29435 30695 37035 37845 39465 51849 52983 55251 71601 76299 86415 88305 92085 119335 127165 167069 178031 214803 228897 259245 264915 276255 358005 381495 501207 534093 677329 692143 721771 737557 769129 835345 890155 1074015 1144485 1503621 1602279 2031987 2076429 2165313 2212671 2307387 2506035 2670465 3386645 3460715 3608855 3687785 3845645 4741303 4845001 5052397 5162899 5383903 6095961 6229287 6495939 6638013 6922161 7518105 8011395 10159935 10382145 10826565 11063355 11536935 14223909 14535003 15157191 15488697 16151709 19642541 20931359 22304741 23706515 24225005 25261985 25814495 26919515 30479805 31146435 32479695 33190065 34610805 42671727 43605009 45471573 46466091 48455127 58927623 62794077 66914223 71119545 72675015 75785955 77443485 80758545 98212705 104656795 111523705 137497787 146519513 156133187 176782869 188382231 200742669 213358635 218025045 227357865 232330455 242275635 294638115 313970385 334571115 412493361 439558539 468399561 569633689 594017533 607009411 632993167 646837489 687488935 732597565 780665935 883914345 941911155 1003713345 1237480083 1318675617 1405198683 1708901067 1782052599 1821028233 1898979501 1940512467 2062466805 2197792695 2341997805 2848168445 2970087665 3035047055 3164965835 3234187445 3987435823 4158122731 4249065877 4430952169 4527862423 5126703201 5346157797 5463084699 5696938503 5821537401 6187400415 6593378085 7025993415 8544505335 8910262995 9105141165 9494897505 9702562335 11962307469 12474368193 12747197631 13292856507 13583587269 17226508457 18356801843 19937179115 20790613655 21245329385 22154760845 22639312115 25633516005 26730788985 27315423495 28484692515 29107687005 35886922407 37423104579 38241592893 39878569521 40750761807 51679525371 55070405529 59811537345 62371840965 63735988155 66464282535 67917936345 86132542285 91784009215 120585559199 128497612901 155038576113 165211216587 179434612035 187115522895 191207964465 199392847605 203753809035 258397626855 275352027645 361756677597 385492838703 499568745253 520953376441 532347253447 602927795995 642488064505 775192880565 826056082935 1085270032791 1156478516109 1498706235759 1562860129323 1597041760341 1808783387985 1927464193515 2497843726265 2604766882205 2661736267235 3496981216771 3646673635087 3726430774129 4496118707277 4688580387969 4791125281023 5426350163955 5782392580545 7493531178795 7814300646615 7985208801705 10490943650313 10940020905261 11179292322387 15107647916789 17484906083855 18233368175435 18632153870645 22480593536385 23442901939845 23955626405115 31472830950939 32820062715783 33537876967161 45322943750367 52454718251565 54700104526305 55896461611935 75538239583945 105753535417523 135968831251101 157364154754695 164100313578915 167689384835805 226614718751835 317260606252569 438121789586881 528767677087615 679844156255505 951781818757707 1314365368760643 1586303031262845 2190608947934405 3066852527108167 3943096106281929 4758909093788535 6571826843803215 9200557581324501 15334262635540835 19715480531409645 27601672743973503 46002787906622505 138008363719867515
• Sum of all divisors σ(n): 283808308498316784
• Sum of proper divisors (its aliquot sum) s(n): 145799944778449269
• 138008363719867515 is an abundant number, because the sum of its proper divisors (145799944778449269) is greater than itself. Its abundance is 7791581058581754

Bases of 138008363719867515

• Binary: 111101010010011011110000000100111100011100011110001111011₂
• Hexadecimal: 0x1EA4DE0278E3C7B
• Base-36: 11QVVR1KG9KR

Squares and roots of 138008363719867515

• 138008363719867515 squared (138008363719867515²) is 19046308456635244162265129152275225
• 138008363719867515 cubed (138008363719867515³) is 2628549865004105273541015322797136821709097816815875
• The square root of 138008363719867515 is 371494769.4381005885
• The cube root of 138008363719867515 is 516775.3648251531

Scales and comparisons

• 138,008,363,719,867,515 seconds is equal to 4,388,239,078 years, 20 weeks, 3 days, 12 hours, 5 minutes, 15 seconds.
• To count from 1 to 138,008,363,719,867,515 would take you about thirteen billion, one hundred sixty-four million, seven hundred seventeen thousand, two hundred thirty-five 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 138008363719867515 cubic inches would be around 43064.6 feet tall.

Recreational maths with 138008363719867515

• 138008363719867515 backwards is 515768917363800831
• The number of decimal digits it has is: 18
• The sum of 138008363719867515's digits is 81
• More coming soon!