138307513657313

Names of 138307513657313

• Cardinal: 138307513657313 can be written as One hundred thirty-eight trillion, three hundred seven billion, five hundred thirteen million, six hundred fifty-seven thousand, three hundred thirteen.

Scientific notation

• Scientific notation: 1.38307513657313 × 10¹⁴

Factors of 138307513657313

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 150

Divisors of 138307513657313

• Number of divisors d(n): 648
• Complete list of divisors:
  1 7 11 13 17 31 49 71 77 91 119 121 143 169 187 217 221 289 341 343 403 497 527 539 637 781 833 847 923 961 1001 1183 1207 1309 1519 1547 1573 1859 2023 2057 2201 2387 2431 2821 2873 3179 3479 3689 3751 3757 3773 4433 4459 5239 5467 5797 5831 5929 6461 6727 6851 7007 8281 8449 8591 8959 9163 10153 10571 10633 10829 11011 11999 12493 13013 13277 14161 14399 15407 15691 16337 16709 17017 19747 20111 20449 20519 22253 24211 24353 25823 26257 26299 26741 28613 31031 31603 34969 36673 37417 38269 40579 41327 41503 45227 47089 47957 48763 48841 49049 57629 57967 59143 60137 62713 63767 64141 68231 71071 73997 75361 75803 77077 83993 87451 89063 91091 92939 98549 99127 100793 107849 109837 111683 114359 116281 116467 116963 119119 131989 137423 138229 140777 143143 143633 146047 155771 162409 169477 172601 179707 180761 183799 184093 187187 200291 203983 212381 217217 221221 225709 244783 256711 261919 266321 266747 267883 277729 284053 289289 314743 316589 329623 335699 341341 341887 347633 371969 403403 411587 414001 420959 438991 446369 454597 477617 486421 497497 517979 527527 537251 539539 587951 612157 623441 633919 636089 637637 650573 689843 705551 750541 754943 768859 781781 800513 813967 815269 828971 833833 887003 923923 961961 979693 985439 1002001 1005431 1022329 1084039 1090397 1136863 1159927 1186339 1208207 1257949 1281137 1286593 1288651 1310309 1402037 1427881 1451879 1486667 1511653 1514071 1520519 1548547 1579963 1713481 1786499 1796977 1833433 1864247 1867229 1898611 1944103 1976777 1988371 2025023 2203201 2243813 2336191 2349893 2389387 2393209 2433431 2482799 2603783 2760953 2823821 2881109 2934217 2946713 3055019 3072937 3124583 3182179 3343319 3404947 3462173 3467711 3482479 3610477 3625853 3692689 3760757 4091659 4115657 4285099 4364087 4437433 4452623 4527457 4554011 4828901 5253787 5350631 5382013 5472467 5603591 5697769 5706883 5802797 5909761 6209021 6323473 6467461 6733727 6857851 6996979 7014007 7038017 7156303 7588273 7958041 8119489 8255951 8269157 8304373 8457449 8805643 8967959 9172163 9757033 9814259 9995167 10163153 10406669 10581571 10598497 10776623 10839829 11059741 11531039 11994367 12505493 12759197 12834031 13049729 13070603 13290277 13608721 13837439 14092507 14175161 15079051 15422407 15706691 16353337 16654781 16725709 16752463 17034017 17379593 18226481 19326671 19651489 19718759 19766747 20167763 20539519 21385133 21872081 22275253 23403233 23834629 24235211 24273977 24681943 25273339 25698101 25848823 26325299 28641613 30370483 30548609 31062031 31168361 31692199 32276387 33605209 33802307 36776509 37454417 38144821 38307269 39715247 39884383 39948181 40619579 41368327 43463147 44264311 45008249 45272227 46936201 47136089 48004957 48978853 50094121 53117911 55706287 56836423 57791657 57884099 58856941 59202143 61639501 62775713 68299231 69558203 69966169 71142071 72846683 74070997 74189479 75436361 76966769 77418187 80717273 87538451 89314379 90960727 91348103 91494221 93031939 95261047 96862073 98647549 105553357 107327363 107499041 107956849 109946837 114473359 116583467 119238119 121657151 126841429 127585367 135286697 137560423 138031313 140351167 141174341 143776633 149695931 155926771 165869561 166842403 169646477 169917839 172773601 176913373 179886707 183202591 184277093 196027663 200491291 212593381 216906349 217434217 218178527 221845393 225934709 235236463 256343867 257435563 262180919 267013747 278006729 284337053 289578289 304242029 309850177 315057743 328553407 334075313 336034699 342851971 371825377 397854961 404541599 405188693 411998587 419593031 436867717 439429991 478094617 486907421 497994497 516298211 518496979 519326353 528054527 538767383 565020911 612769157 625200653 636725089 651223573 678034511 690532843 738873499 751291541 752493287 765140233 769627859 801313513 816084269 851600057 887890003 947006879 962922961 966219191 982458169 1000567997 1006436431 1047871517 1161086927 1182489451 1187525339 1189424873 1209415207 1238393611 1259206949 1282418137 1372193641 1395255719 1403439037 1488153667 1518344443 1552917751 1581542963 1646655241 1794407069 1824565171 1835266433 1869096229 1946047103 2027048023 2156304293 2168951239 2205404201 2299873849 2338527191 2385969839 2399963797 2819782537 2831791193 2836320851 2883990109 2937151217 3058074019 3332470271 3346662319 3408351947 3614087477 3696381689 3771371681 3955146377 4376404571 4457075623 4833729901 5172114493 5259040787 5267453009 5355981631 5679280321 5712589883 6215230021 6740460727 6763534337 6877207183 7003975979 8127608489 8277426157 8465906449 8814448643 8976926959 9605355487 9766790033 10417075669 10628411101 11070800741 11526586687 12560849483 12771956197 13007383961 13083673603 13622329721 15094130051 15437829407 16099116943 16369690337 16701788873 19738477759 20187930763 20560058519 21406518133 23327291897 23719347223 23858463629 25298612339 26399601767 31017607907 31199529361 36657172981 36813285509 36872171063 37491871417 39754962247 43506610147 48140450281 49027831853 56893259423 57941983099 62838488713 67237488409 68367530231 74398877707 87925946381 89403693379 91051687727 105658910357 114587832359 116912522111 138169344313 143920409633 149845626931 163291043279 166035430561 177090286373 217123255349 256600210867 262443099919 278284735729 343194822971 403228902791 405593881693 478572711617 625825853653 637361814089 739612372499 818387654777 967185410191 1143037302953 1162248013927 1519862787443 1796201476069 1947993150103 2822602319537 4461532698623 8135736097489 10639039512101 12573410332483 19758216236759 138307513657313
• Sum of all divisors σ(n): 213689332483200
• Sum of proper divisors (its aliquot sum) s(n): 75381818825887
• 138307513657313 is a deficient number, because the sum of its proper divisors (75381818825887) is less than itself. Its deficiency is 62925694831426

Bases of 138307513657313

• Binary: 11111011100101000111010001110001010011111100001₂
• Hexadecimal: 0x7DCA3A38A7E1
• Base-36: 1D0XLEMY1T

Squares and roots of 138307513657313

• 138307513657313 squared (138307513657313²) is 19128968334067822017198379969
• 138307513657313 cubed (138307513657313³) is 2645680049114393199096473454732125829563297
• The square root of 138307513657313 is 11760421.4914820547
• The cube root of 138307513657313 is 51714.8486541033

Scales and comparisons

• 138,307,513,657,313 seconds is equal to 4,397,751 years, 6 weeks, 2 days, 1 hour, 41 minutes, 53 seconds.
• To count from 1 to 138,307,513,657,313 would take you about ten million, nine hundred ninety-four thousand, three hundred seventy-seven 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 138307513657313 cubic inches would be around 4309.6 feet tall.

Recreational maths with 138307513657313

• 138307513657313 backwards is 313756315703831
• The number of decimal digits it has is: 15
• The sum of 138307513657313's digits is 56
• More coming soon!