138778442032896

Names of 138778442032896

• Cardinal: 138778442032896 can be written as One hundred thirty-eight trillion, seven hundred seventy-eight billion, four hundred forty-two million, thirty-two thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 1.38778442032896 × 10¹⁴

Factors of 138778442032896

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 198

Divisors of 138778442032896

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 53 64 72 86 96 97 106 128 129 144 159 172 192 194 212 256 258 288 291 318 344 384 387 388 424 477 516 576 582 636 688 768 774 776 848 873 954 1032 1152 1164 1272 1376 1548 1552 1696 1746 1908 2064 2279 2304 2328 2544 2752 2809 3096 3104 3392 3492 3816 4128 4171 4558 4656 5088 5141 5504 5618 6192 6208 6784 6837 6984 7632 8256 8342 8427 9116 9312 9409 10176 10282 11008 11236 12384 12416 12513 13568 13674 13968 15264 15423 16512 16684 16854 18232 18624 18818 20352 20511 20564 22472 24768 24832 25026 25281 27348 27936 28227 30528 30846 33024 33368 33708 36464 37248 37539 37636 40704 41022 41128 44944 46269 49536 50052 50562 54696 55872 56454 61056 61692 66736 67416 72928 74496 75078 75272 82044 82256 84681 89888 92538 99072 100104 101124 109392 111744 112908 120787 122112 123384 133472 134832 145856 148877 150156 150544 164088 164512 169362 179776 185076 200208 202248 218784 221063 223488 225816 241574 246768 266944 269664 272473 291712 297754 300312 301088 328176 329024 338724 359552 362361 370152 400416 404496 404587 437568 442126 446631 451632 483148 493536 498677 533888 539328 544946 583424 595508 600624 602176 656352 658048 663189 677448 719104 724722 740304 800832 808992 809174 817419 875136 884252 893262 903264 966296 987072 997354 1067776 1078656 1087083 1089892 1191016 1201248 1204352 1213761 1312704 1316096 1326378 1339893 1354896 1449444 1480608 1496031 1601664 1617984 1618348 1634838 1750272 1768504 1786524 1806528 1932592 1974144 1989567 1994708 2157312 2174166 2179784 2382032 2402496 2408704 2427522 2452257 2625408 2652756 2679786 2709792 2898888 2961216 2992062 3203328 3235968 3236696 3269676 3537008 3573048 3613056 3641283 3865184 3948288 3979134 3989416 4348332 4359568 4488093 4764064 4804992 4855044 4904514 5250816 5305512 5359572 5419584 5797776 5922432 5984124 6401711 6471936 6473392 6539352 7074016 7146096 7226112 7282566 7730368 7958268 7978832 8696664 8719136 8976186 9528128 9609984 9710088 9809028 10611024 10719144 10839168 11595552 11716339 11844864 11968248 12803422 12946784 13078704 14148032 14292192 14441069 14565132 15460736 15916536 15957664 17393328 17438272 17952372 19056256 19205133 19420176 19618056 21222048 21438288 21443111 21678336 23191104 23432678 23936496 25606844 25893568 26157408 26429881 28296064 28584384 28882138 29130264 30921472 31833072 31915328 34786656 34876544 35149017 35904744 38112512 38410266 38840352 39236112 42444096 42876576 42886222 43323207 46382208 46865356 47872992 51213688 51787136 52314816 52859762 56592128 57168768 57615399 57764276 58260528 63666144 63830656 64329333 69573312 69753088 70298034 71809488 76820532 77680704 78472224 79289643 84888192 85753152 85772444 86646414 92764416 93730712 95745984 102427376 103574272 104629632 105447051 105719524 114337536 115230798 115528552 116521056 127332288 127661312 128658666 129969621 139146624 140596068 143618976 153641064 155361408 156944448 158579286 169776384 171506304 171544888 173292828 187461424 191491968 192987999 204854752 209259264 210894102 211439048 230461596 231057104 233042112 237868929 254664576 257317332 259939242 278293248 281192136 287237952 307282128 310722816 313888896 317158572 343012608 343089776 346585656 374922848 382983936 385975998 409709504 421788204 422878096 460923192 462114208 466084224 475737858 509329152 514634664 519878484 562384272 574475904 614564256 620965967 627777792 634317144 686179552 693171312 749845696 771951996 819419008 843576408 845756192 921846384 924228416 932168448 951475716 1029269328 1039756968 1124768544 1136484883 1148951808 1229128512 1241931934 1268634288 1372359104 1386342624 1400783693 1499691392 1543903992 1638838016 1687152816 1691512384 1843692768 1848456832 1862897901 1902951432 2058538656 2079513936 2249537088 2272969766 2458257024 2483863868 2537268576 2744718208 2772685248 2801567386 2999382784 3087807984 3374305632 3383024768 3409454649 3687385536 3696913664 3725795802 3805902864 4117077312 4159027872 4202351079 4499074176 4545939532 4916514048 4967727736 5074537152 5489436416 5545370496 5588693703 5603134772 6175615968 6748611264 6766049536 6818909298 7374771072 7451591604 7611805728 8234154624 8318055744 8404702158 8998148352 9091879064 9935455472 10149074304 10228363947 11090740992 11177387406 11206269544 12351231936 12607053237 13497222528 13637818596 14749542144 14903183208 15223611456 16468309248 16636111488 16809404316 18183758128 19870910944 20298148608 20456727894 22354774812 22412539088 24702463872 25214106474 26994445056 27275637192 29806366416 30447222912 33272222976 33618808632 36367516256 39741821888 40913455788 44709549624 44825078176 49404927744 50428212948 54551274384 59612732832 60233698799 60894445824 67237617264 72735032512 79483643776 81826911576 89419099248 89650156352 100856425896 109102548768 119225465664 120467397598 134475234528 145470065024 158967287552 163653823152 178838198496 179300312704 180701096397 201712851792 218205097536 238450931328 240934795196 268950469056 290940130048 327307646304 357676396992 358600625408 361402192794 403425703584 436410195072 476901862656 481869590392 537900938112 542103289191 654615292608 715352793984 722804385588 806851407168 872820390144 963739180784 1075801876224 1084206578382 1309230585216 1430705587968 1445608771176 1613702814336 1927478361568 2168413156764 2618461170432 2891217542352 3227405628672 3854956723136 4336826313528 5782435084704 7709913446272 8673652627056 11564870169408 15419826892544 17347305254112 23129740338816 34694610508224 46259480677632 69389221016448 138778442032896
• Sum of all divisors σ(n): 421658153476560
• Sum of proper divisors (its aliquot sum) s(n): 282879711443664
• 138778442032896 is an abundant number, because the sum of its proper divisors (282879711443664) is greater than itself. Its abundance is 144101269410768

Bases of 138778442032896

• Binary: 11111100011011111011111101111010110011100000000₂
• Hexadecimal: 0x7E37DFBD6700
• Base-36: 1D6XXP8E80

Squares and roots of 138778442032896

• 138778442032896 squared (138778442032896²) is 19259455973077875257146146816
• 138778442032896 cubed (138778442032896³) is 2672797294344900536547461405886820317659136
• The square root of 138778442032896 is 11780426.2245852547
• The cube root of 138778442032896 is 51773.4774297653

Scales and comparisons

• 138,778,442,032,896 seconds is equal to 4,412,725 years, 9 weeks, 4 days, 23 hours, 21 minutes, 36 seconds.
• To count from 1 to 138,778,442,032,896 would take you about eleven million, thirty-one thousand, eight hundred twelve 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 138778442032896 cubic inches would be around 4314.5 feet tall.

Recreational maths with 138778442032896

• 138778442032896 backwards is 698230244877831
• 138778442032896 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138778442032896's digits is 72
• More coming soon!