138375293359025424

Names of 138375293359025424

• Cardinal: 138375293359025424 can be written as One hundred thirty-eight quadrillion, three hundred seventy-five trillion, two hundred ninety-three billion, three hundred fifty-nine million, twenty-five thousand, four hundred twenty-four.

Scientific notation

• Scientific notation: 1.38375293359025424 × 10¹⁷

Factors of 138375293359025424

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 3955

Divisors of 138375293359025424

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 151 156 208 302 312 353 453 604 624 706 906 1059 1208 1412 1812 1963 2118 2416 2824 3433 3624 3926 4236 4589 5648 5889 6866 7248 7852 8472 9178 10299 11778 13732 13767 15704 16944 18356 20598 23556 27464 27534 31408 36712 41196 44629 47112 53303 54928 55068 73424 82392 89258 94224 106606 110136 124609 133887 159909 164784 178516 213212 220272 249218 267774 319818 357032 373827 426424 498436 518383 535548 639636 692939 714064 747654 852848 996872 1036766 1071096 1211849 1279272 1385878 1495308 1555149 1619917 1993744 2073532 2078817 2142192 2423698 2558544 2771756 2990616 3110298 3239834 3635547 4147064 4157634 4847396 4859751 5543512 5981232 6220596 6479668 6738979 7271094 8294128 8315268 9694792 9719502 11087024 11785489 12441192 12959336 13477958 14542188 15754037 16630536 18815959 19389584 19439004 20216937 23570978 24882384 25918672 26955916 29084376 31508074 33261072 35356467 37631918 38878008 40433874 47141956 47262111 53911832 56447877 58168752 63016148 70712934 75263836 77756016 80867748 94283912 94524222 107823664 112895754 126032296 141425868 150527672 153211357 161735496 182989199 188567824 189048444 225791508 244607467 252064592 282851736 301055344 306422714 323470992 365978398 378096888 427782697 451583016 459634071 489214934 548967597 565703472 612845428 731956796 733822401 756193776 855565394 903166032 919268142 978429868 1097935194 1225690856 1283348091 1463913592 1467644802 1711130788 1779608839 1838536284 1956859736 2195870388 2378859587 2451381712 2566696182 2927827184 2935289604 3422261576 3559217678 3677072568 3913719472 4160277617 4391740776 4757719174 5133392364 5338826517 5561175061 5870579208 6844523152 7118435356 7136578761 7354145136 8320555234 8783481552 9515438348 10266784728 10677653034 11122350122 11741158416 12480832851 14236870712 14273157522 16641110468 16683525183 19030876696 20533569456 21355306068 22244700244 23134914907 24961665702 28473741424 28546315044 33282220936 33367050366 38061753392 42710612136 44489400488 46269829814 49923331404 54083609021 57092630088 64595187247 66564441872 66734100732 69404744721 85421224272 88978800976 92539659628 99846662808 108167218042 114185260176 129190374494 133468201464 138809489442 162250827063 185079319256 193785561741 199693325616 216334436084 258380748988 266936402928 277618978884 324501654126 370158638512 387571123482 432668872168 516761497976 555237957768 628201920167 649003308252 775142246964 839737434211 865337744336 1033522995952 1110475915536 1256403840334 1298006616504 1468577998801 1550284493928 1679474868422 1884605760501 2512807680668 2519212302633 2596013233008 2937155997602 3100568987856 3358949736844 3769211521002 4405733996403 5025615361336 5038424605266 5874311995204 6717899473688 7538423042004 8166624962171 8811467992806 10051230722672 10076849210532 11748623990408 13435798947376 15076846084008 16333249924342 17622935985612 19091513984413 20153698421064 23497247980816 24499874886513 30153692168016 32666499848684 35245871971224 38183027968826 40307396842128 48999749773026 57274541953239 65332999697368 70491743942448 76366055937652 97999499546052 114549083906478 130665999394736 152732111875304 195998999092104 221755277818951 229098167812956 305464223750608 391997998184208 443510555637902 458196335625912 665265833456853 887021111275804 916392671251824 1330531666913706 1774042222551608 2661063333827412 2882818611646363 3548084445103216 5322126667654824 5765637223292726 8648455834939089 10644253335309648 11531274446585452 17296911669878178 23062548893170904 34593823339756356 46125097786341808 69187646679512712 138375293359025424
• Sum of all divisors σ(n): 388730737864475328
• Sum of proper divisors (its aliquot sum) s(n): 250355444505449904
• 138375293359025424 is an abundant number, because the sum of its proper divisors (250355444505449904) is greater than itself. Its abundance is 111980151146424480

Bases of 138375293359025424

• Binary: 111101011100110111001100010011110010110101110110100010000₂
• Hexadecimal: 0x1EB9B989E5AED10
• Base-36: 11UHY46XRI1C

Squares and roots of 138375293359025424

• 138375293359025424 squared (138375293359025424²) is 19147721812196345609797719078379776
• 138375293359025424 cubed (138375293359025424³) is 2649571622919679239542864402010656115622556311425024
• The square root of 138375293359025424 is 371988297.3414962473
• The cube root of 138375293359025424 is 517232.9515731943

Scales and comparisons

• 138,375,293,359,025,424 seconds is equal to 4,399,906,305 years, 48 weeks, 3 days, 2 hours, 10 minutes, 24 seconds.
• To count from 1 to 138,375,293,359,025,424 would take you about thirteen billion, one hundred ninety-nine million, seven hundred eighteen thousand, nine hundred seventeen 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 138375293359025424 cubic inches would be around 43102.7 feet tall.

Recreational maths with 138375293359025424

• 138375293359025424 backwards is 424520953392573831
• The number of decimal digits it has is: 18
• The sum of 138375293359025424's digits is 75
• More coming soon!