138768579414144

Names of 138768579414144

• Cardinal: 138768579414144 can be written as One hundred thirty-eight trillion, seven hundred sixty-eight billion, five hundred seventy-nine million, four hundred fourteen thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.38768579414144 × 10¹⁴

Factors of 138768579414144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 35404

Divisors of 138768579414144

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 547 576 1094 1152 1641 2188 3282 4376 4923 6564 8291 8752 9846 13128 16582 17504 19692 24873 26256 26561 33164 35008 39384 49746 52512 53122 66328 70016 74619 78768 79683 99492 105024 106244 132656 149238 157536 159366 198984 210048 212488 239049 265312 298476 315072 318732 397968 424976 478098 530624 596952 630144 637464 795936 849952 956196 1061248 1193904 1274928 1591872 1699904 1912392 2387808 2549856 3183744 3399808 3824784 4535177 4775616 5099712 7649568 9070354 9551232 10199424 13605531 14528867 15299136 18140708 27211062 29057734 30598272 36281416 40816593 43586601 54422124 58115468 72562832 81633186 87173202 108844248 116230936 130759803 145125664 163266372 174346404 217688496 220217251 232461872 261519606 290251328 326532744 348692808 435376992 440434502 464923744 523039212 580502656 653065488 660651753 697385616 870753984 880869004 929847488 1046078424 1306130976 1321303506 1394771232 1741507968 1761738008 1859694976 1981955259 2092156848 2612261952 2642607012 2789542464 3523476016 3963910518 4184313696 5224523904 5285214024 5579084928 7046952032 7927821036 8368627392 10570428048 14093904064 15855642072 16737254784 21140856096 28187808128 31711284144 42281712192 63422568288 84563424384 120458836297 126845136576 240917672594 253690273152 361376508891 481835345188 722753017782 963670690376 1084129526673 1445506035564 1927341380752 2168259053346 2891012071128 3854682761504 4336518106692 5782024142256 7709365523008 8673036213384 11564048284512 15418731046016 17346072426768 23128096569024 34692144853536 46256193138048 69384289707072 138768579414144
• Sum of all divisors σ(n): 400114377168480
• Sum of proper divisors (its aliquot sum) s(n): 261345797754336
• 138768579414144 is an abundant number, because the sum of its proper divisors (261345797754336) is greater than itself. Its abundance is 122577218340192

Bases of 138768579414144

• Binary: 11111100011010110010011111000011100100010000000₂
• Hexadecimal: 0x7E3593E1C880
• Base-36: 1D6TELA8W0

Squares and roots of 138768579414144

• 138768579414144 squared (138768579414144²) is 19256718632619589934267252736
• 138768579414144 cubed (138768579414144³) is 2672227488826498024128577522145759261097984
• The square root of 138768579414144 is 11780007.6151988967
• The cube root of 138768579414144 is 51772.2509324349

Scales and comparisons

• 138,768,579,414,144 seconds is equal to 4,412,411 years, 30 weeks, 3 days, 7 hours, 2 minutes, 24 seconds.
• To count from 1 to 138,768,579,414,144 would take you about eleven million, thirty-one thousand and twenty-eight 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 138768579414144 cubic inches would be around 4314.4 feet tall.

Recreational maths with 138768579414144

• 138768579414144 backwards is 441414975867831
• 138768579414144 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138768579414144's digits is 72
• More coming soon!