138016324628224

Names of 138016324628224

• Cardinal: 138016324628224 can be written as One hundred thirty-eight trillion, sixteen billion, three hundred twenty-four million, six hundred twenty-eight thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.38016324628224 × 10¹⁴

Factors of 138016324628224

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 135561

Divisors of 138016324628224

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 128 133 136 152 224 238 256 266 272 304 323 448 476 532 544 608 646 896 952 1064 1088 1216 1292 1783 1792 1904 2128 2176 2261 2432 2584 3566 3808 4256 4352 4522 4864 5168 7132 7616 8512 9044 10336 12481 14264 15232 17024 18088 20672 24962 28528 30311 30464 33877 34048 36176 41344 49924 57056 60622 67754 72352 82688 99848 114112 121244 133733 135508 144704 199696 212177 228224 237139 242488 267466 271016 289408 399392 424354 456448 474278 484976 534932 542032 575909 578816 798784 848708 936131 948556 969952 1069864 1084064 1151818 1597568 1697416 1872262 1897112 1939904 2139728 2168128 2273461 2303636 2540927 3195136 3394832 3744524 3794224 3879808 4031363 4279456 4336256 4546922 4607272 5081854 6789664 7489048 7588448 7759616 8062726 8558912 8672512 9093844 9214544 10163708 13579328 14978096 15176896 15914227 16125452 17117824 17786489 18187688 18429088 20327416 27158656 29956192 30353792 31828454 32250904 34235648 35572978 36375376 36858176 40654832 43195759 54317312 59912384 60707584 63656908 64501808 71145956 72750752 73716352 81309664 86391518 119824768 127313816 129003616 142291912 145501504 147432704 162619328 172783036 238445939 239649536 254627632 258007232 284583824 291003008 302370313 325238656 345566072 476891878 509255264 516014464 569167648 582006016 604740626 650477312 691132144 953783756 1018510528 1032028928 1138335296 1209481252 1382264288 1669121573 1907567512 2037021056 2276670592 2418962504 2764528576 3338243146 3815135024 4053580963 4074042112 4530472841 4553341184 4837925008 5529057152 6676486292 7630270048 8107161926 9060945682 9675850016 11058114304 13352972584 15260540096 16214323852 18121891364 19351700032 26705945168 28375066741 30521080192 31713309887 32428647704 36243782728 38703400064 53411890336 56750133482 61042160384 63426619774 64857295408 72487565456 77018038297 77406800128 106823780672 113500266964 126853239548 129714590816 144975130912 154036076594 213647561344 227000533928 253706479096 259429181632 289950261824 308072153188 427295122688 454001067856 507412958192 518858363264 539126268079 579900523648 616144306376 908002135712 1014825916384 1037716726528 1078252536158 1159801047296 1232288612752 1816004271424 2029651832768 2156505072316 2464577225504 3632008542848 4059303665536 4313010144632 4929154451008 7264017085696 8118607331072 8626020289264 9858308902016 17252040578528 19716617804032 34504081157056 69008162314112 138016324628224
• Sum of all divisors σ(n): 351115557166080
• Sum of proper divisors (its aliquot sum) s(n): 213099232537856
• 138016324628224 is an abundant number, because the sum of its proper divisors (213099232537856) is greater than itself. Its abundance is 75082907909632

Bases of 138016324628224

• Binary: 11111011000011001101110000000001010111100000000₂
• Hexadecimal: 0x7D866E00AF00
• Base-36: 1CX7TO7H8G

Squares and roots of 138016324628224

• 138016324628224 squared (138016324628224²) is 19048505863883310651817394176
• 138016324628224 cubed (138016324628224³) is 2629004768992347448946109614357859662823424
• The square root of 138016324628224 is 11748034.9262429417
• The cube root of 138016324628224 is 51678.5301233131

Scales and comparisons

• 138,016,324,628,224 seconds is equal to 4,388,492 years, 10 weeks, 6 days, 16 hours, 17 minutes, 4 seconds.
• To count from 1 to 138,016,324,628,224 would take you about ten million, nine hundred seventy-one thousand, two hundred thirty 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 138016324628224 cubic inches would be around 4306.5 feet tall.

Recreational maths with 138016324628224

• 138016324628224 backwards is 422826423610831
• The number of decimal digits it has is: 15
• The sum of 138016324628224's digits is 52
• More coming soon!