138948835727408

Names of 138948835727408

• Cardinal: 138948835727408 can be written as One hundred thirty-eight trillion, nine hundred forty-eight billion, eight hundred thirty-five million, seven hundred twenty-seven thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.38948835727408 × 10¹⁴

Factors of 138948835727408

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 28397

Divisors of 138948835727408

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 349 532 698 1064 1396 2128 2443 2792 4886 5584 6631 9772 10979 13262 17041 19544 21958 26524 34082 39088 43916 46417 53048 68164 76853 87832 92834 106096 119287 136328 153706 175664 185668 208601 238574 272656 307412 323779 371336 417202 477148 614824 647558 742672 834404 954296 1229648 1295116 1460207 1668808 1908592 2266453 2590232 2920414 3337616 3831671 4532906 5180464 5840828 5947309 7663342 9065812 11681656 11894618 15326684 18131624 23363312 23789236 26821697 30653368 36263248 41631163 47578472 53643394 61306736 72801749 83262326 95156944 107286788 112998871 145603498 166524652 187093139 214573576 225997742 291206996 333049304 374186278 429147152 451995484 509612243 582413992 666098608 748372556 790992097 903990968 1019224486 1164827984 1309651973 1496745112 1581984194 1807981936 2038448972 2619303946 2993490224 3163968388 3554769641 4076897944 5238607892 6327936776 7109539282 8153795888 10477215784 12655873552 14219078564 20954431568 24883387487 28438157128 49766774974 56876314256 65295505511 99533549948 130591011022 199067099896 261182022044 398134199792 457068538577 522364044088 914137077154 1044728088176 1240614604709 1828274154308 2481229209418 3656548308616 4962458418836 7313096617232 8684302232963 9924916837672 17368604465926 19849833675344 34737208931852 69474417863704 138948835727408
• Sum of all divisors σ(n): 324842333760000
• Sum of proper divisors (its aliquot sum) s(n): 185893498032592
• 138948835727408 is an abundant number, because the sum of its proper divisors (185893498032592) is greater than itself. Its abundance is 46944662305184

Bases of 138948835727408

• Binary: 11111100101111110001011111111101101100000110000₂
• Hexadecimal: 0x7E5F8BFED830
• Base-36: 1D947P8MCW

Squares and roots of 138948835727408

• 138948835727408 squared (138948835727408²) is 19306778950002213868482398464
• 138948835727408 cubed (138948835727408³) is 2682654456749236326909682870223633941901312
• The square root of 138948835727408 is 11787656.0743605003
• The cube root of 138948835727408 is 51794.6581114747

Scales and comparisons

• 138,948,835,727,408 seconds is equal to 4,418,143 years, 9 weeks, 2 days, 5 hours, 10 minutes, 8 seconds.
• To count from 1 to 138,948,835,727,408 would take you about eleven million, forty-five thousand, three hundred fifty-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 138948835727408 cubic inches would be around 4316.2 feet tall.

Recreational maths with 138948835727408

• 138948835727408 backwards is 804727538849831
• The number of decimal digits it has is: 15
• The sum of 138948835727408's digits is 77
• More coming soon!