138021982171840

Names of 138021982171840

• Cardinal: 138021982171840 can be written as One hundred thirty-eight trillion, twenty-one billion, nine hundred eighty-two million, one hundred seventy-one thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3802198217184 × 10¹⁴

Factors of 138021982171840

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 973125

Divisors of 138021982171840

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 26 32 40 43 52 61 64 65 80 86 104 122 130 160 169 172 208 215 244 260 305 320 338 344 416 430 488 520 559 610 676 688 793 832 845 860 976 1040 1118 1220 1352 1376 1586 1690 1720 1952 2080 2236 2440 2623 2704 2752 2795 3172 3380 3440 3904 3965 4160 4472 4880 5246 5408 5590 6344 6760 6880 7267 7930 8944 9760 10309 10492 10816 11180 12688 13115 13520 13760 14534 15860 17888 19520 20618 20984 22360 25376 26230 27040 29068 31720 34099 35776 36335 41236 41968 44720 50752 51545 52460 54080 58136 63440 68198 72670 82472 83936 89440 103090 104920 116272 126880 136396 145340 164944 167872 170495 178880 206180 209840 232544 253760 272792 290680 329888 340990 412360 419680 443287 465088 545584 581360 659776 681980 824720 839360 886574 973001 1091168 1162720 1363960 1649440 1773148 1946002 2182336 2216435 2325440 2727920 3298880 3546296 3892004 4432870 4865005 5455840 7092592 7784008 8865740 9730010 10911680 12649013 14185184 15568016 17731480 19460020 25298026 28370368 31136032 35462960 38920040 41839043 50596052 59353061 62272064 63245065 70925920 77840080 83678086 101192104 118706122 126490130 141851840 155680160 164437169 167356172 202384208 209195215 237412244 252980260 296765305 311360320 328874338 334712344 404768416 418390430 474824488 505960520 543907559 593530610 657748676 669424688 771589793 809536832 822185845 836780860 949648976 1011921040 1087815118 1187061220 1315497352 1338849376 1543179586 1644371690 1673561720 1899297952 2023842080 2175630236 2374122440 2552181623 2630994704 2677698752 2719537795 3086359172 3288743380 3347123440 3798595904 3857948965 4047684160 4351260472 4748244880 5104363246 5261989408 5439075590 6172718344 6577486760 6694246880 7070798267 7715897930 8702520944 9496489760 10030667309 10208726492 10523978816 10878151180 12345436688 12760908115 13154973520 13388493760 14141596534 15431795860 17405041888 18992979520 20061334618 20417452984 21756302360 24690873376 25521816230 26309947040 28283193068 30863591720 33178361099 34810083776 35353991335 40122669236 40834905968 43512604720 49381746752 50153336545 51043632460 52619894080 56566386136 61727183440 66356722198 70707982670 80245338472 81669811936 87025209440 100306673090 102087264920 113132772272 123454366880 132713444396 141415965340 160490676944 163339623872 165891805495 174050418880 200613346180 204174529840 226265544544 246908733760 265426888792 282831930680 320981353888 331783610990 401226692360 408349059680 431318694287 452531089088 530853777584 565663861360 641962707776 663567221980 802453384720 816698119360 862637388574 1061707555168 1131327722720 1327134443960 1604906769440 1725274777148 2123415110336 2156593471435 2262655445440 2654268887920 3209813538880 3450549554296 4313186942870 5308537775840 6901099108592 8626373885740 10617075551680 13802198217184 17252747771480 27604396434368 34505495542960 69010991085920 138021982171840
• Sum of all divisors σ(n): 370138414241376
• Sum of proper divisors (its aliquot sum) s(n): 232116432069536
• 138021982171840 is an abundant number, because the sum of its proper divisors (232116432069536) is greater than itself. Its abundance is 94094449897696

Bases of 138021982171840

• Binary: 11111011000011110111111001101111111001011000000₂
• Hexadecimal: 0x7D87BF37F2C0
• Base-36: 1CXAF8K9TS

Squares and roots of 138021982171840

• 138021982171840 squared (138021982171840²) is 19050067562643718803288985600
• 138021982171840 cubed (138021982171840³) is 2629328085503558839045310550438638485504000
• The square root of 138021982171840 is 11748275.7105815319
• The cube root of 138021982171840 is 51679.2362464091

Scales and comparisons

• 138,021,982,171,840 seconds is equal to 4,388,672 years, 5 weeks, 2 days, 12 hours, 10 minutes, 40 seconds.
• To count from 1 to 138,021,982,171,840 would take you about ten million, nine hundred seventy-one thousand, six hundred eighty 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 138021982171840 cubic inches would be around 4306.6 feet tall.

Recreational maths with 138021982171840

• 138021982171840 backwards is 048171289120831
• The number of decimal digits it has is: 15
• The sum of 138021982171840's digits is 55
• More coming soon!