138646477651968

Names of 138646477651968

• Cardinal: 138646477651968 can be written as One hundred thirty-eight trillion, six hundred forty-six billion, four hundred seventy-seven million, six hundred fifty-one thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38646477651968 × 10¹⁴

Factors of 138646477651968

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 44307

Divisors of 138646477651968

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 64 66 72 78 88 96 99 104 117 128 132 143 144 149 156 176 192 198 208 234 256 264 286 288 298 312 352 384 396 416 429 447 468 512 528 572 576 596 624 704 768 792 832 858 894 936 1024 1056 1144 1152 1192 1248 1287 1341 1408 1536 1584 1639 1664 1716 1788 1872 1937 2048 2112 2288 2304 2384 2496 2574 2682 2816 3072 3168 3278 3328 3432 3576 3744 3874 4096 4224 4576 4608 4768 4917 4992 5148 5364 5632 5811 6144 6336 6556 6656 6864 7152 7488 7748 8192 8448 9152 9216 9536 9834 9984 10296 10728 11264 11622 12288 12672 13112 13312 13728 14304 14751 14976 15496 16384 16896 17433 18304 18432 19072 19668 19968 20592 21307 21456 22528 23244 24576 25344 26224 26624 27456 28608 29502 29952 30992 33792 34866 36608 36864 38144 39336 39936 41184 42614 42912 44129 45056 46488 49152 50688 52448 53248 54912 57216 59004 59904 61984 63921 67584 69732 73216 73728 76288 78672 79872 82368 85228 85824 88258 90112 92976 101376 104896 106496 109824 114432 118008 119808 123968 127842 132387 135168 139464 146432 147456 152576 157344 159744 164736 170456 171648 176516 180224 185952 191763 202752 209792 212992 219648 228864 236016 239616 247936 255684 264774 270336 278928 292864 305152 314688 319488 329472 340912 343296 353032 371904 383526 397161 405504 419584 439296 457728 472032 479232 485419 495872 511368 529548 540672 557856 573677 585728 610304 629376 638976 658944 681824 686592 706064 743808 767052 794322 811008 839168 878592 915456 944064 958464 970838 991744 1022736 1059096 1115712 1147354 1171456 1220608 1258752 1317888 1363648 1373184 1412128 1456257 1487616 1534104 1588644 1622016 1678336 1721031 1757184 1830912 1888128 1916928 1941676 1983488 2045472 2118192 2231424 2294708 2342912 2441216 2517504 2635776 2727296 2746368 2824256 2912514 2975232 3068208 3177288 3356672 3442062 3514368 3661824 3776256 3883352 3966976 4090944 4236384 4368771 4462848 4589416 5035008 5163093 5271552 5454592 5492736 5648512 5825028 5950464 6136416 6310447 6354576 6575221 6713344 6884124 7028736 7323648 7552512 7766704 7933952 8181888 8472768 8737542 8925696 9178832 10070016 10326186 10543104 10909184 10985472 11297024 11650056 11900928 12272832 12620894 12709152 13150442 13426688 13768248 15105024 15533408 15867904 16363776 16945536 17475084 17851392 18357664 18931341 19725663 20140032 20652372 21086208 21818368 21970944 22594048 23300112 23801856 24545664 25241788 25418304 26300884 26853376 27536496 30210048 31066816 31735808 32727552 33891072 34950168 35702784 36715328 37862682 39451326 40280064 41304744 43636736 45188096 46600224 47603712 49091328 50483576 50836608 52601768 55072992 56794023 59176989 60420096 62133632 65455104 67782144 69900336 71405568 72327431 73430656 75725364 78902652 80560128 82609488 85477873 87273472 90376192 93200448 95207424 98182656 100967152 101673216 105203536 110145984 113588046 118353978 120840192 124267264 130910208 135564288 139800672 142811136 144654862 146861312 151450728 157805304 165218976 170955746 174546944 180752384 186400896 196365312 201934304 203346432 210407072 216982293 220291968 227176092 236707956 241680384 248534528 256433619 261820416 271128576 279601344 285622272 289309724 293722624 302901456 315610608 330437952 341911492 349093888 361504768 372801792 392730624 403868608 406692864 420814144 433964586 440583936 454352184 473415912 497069056 512867238 523640832 542257152 559202688 578619448 587445248 605802912 631221216 650946879 660875904 683822984 723009536 745603584 769300857 785461248 807737216 813385728 841628288 867929172 881167872 908704368 940256603 946831824 994138112 1025734476 1047281664 1084514304 1118405376 1157238896 1174890496 1211605824 1262442432 1301893758 1321751808 1367645968 1491207168 1538601714 1570922496 1615474432 1626771456 1683256576 1735858344 1762335744 1817408736 1880513206 1893663648 1988276224 2051468952 2169028608 2236810752 2314477792 2349780992 2423211648 2524884864 2603787516 2643503616 2735291936 2820769809 2982414336 3077203428 3141844992 3230948864 3253542912 3366513152 3471716688 3524671488 3634817472 3761026412 3787327296 3976552448 4102937904 4473621504 4628955584 4699561984 4846423296 5049769728 5207575032 5287007232 5470583872 5641539618 5964828672 6154406856 6461897728 6507085824 6733026304 6943433376 7049342976 7269634944 7522052824 7574654592 7953104896 8205875808 8462309427 8947243008 9257911168 9399123968 9692846592 10099539456 10415150064 10574014464 10941167744 11283079236 11929657344 12308813712 12923795456 13466052608 13886866752 14098685952 14539269888 15044105648 15149309184 16411751616 16924618854 17894486016 18515822336 19385693184 20199078912 20830300128 21148028928 21882335488 22566158472 23859314688 24617627424 25847590912 26932105216 27773733504 28197371904 29078539776 30088211296 30298618368 32823503232 33849237708 35788972032 37031644672 38771386368 40398157824 41660600256 42296057856 43764670976 45132316944 49235254848 51695181824 53864210432 55547467008 58157079552 60176422592 60597236736 65647006464 67698475416 71577944064 74063289344 77542772736 80796315648 83321200512 84592115712 87529341952 90264633888 98470509696 103390363648 107728420864 111094934016 116314159104 120352845184 121194473472 131294012928 135396950832 148126578688 155085545472 161592631296 166642401024 175058683904 180529267776 196941019392 222189868032 232628318208 240705690368 242388946944 262588025856 270793901664 296253157376 310171090944 323185262592 333284802048 350117367808 361058535552 393882038784 444379736064 465256636416 481411380736 484777893888 525176051712 541587803328 592506314752 666569604096 700234735616 722117071104 787764077568 888759472128 930513272832 962822761472 969555787776 1050352103424 1083175606656 1185012629504 1333139208192 1400469471232 1444234142208 1575528155136 1777518944256 1925645522944 2100704206848 2166351213312 2666278416384 2888468284416 3151056310272 3555037888512 3851291045888 4201408413696 4332702426624 5332556832768 5776936568832 6302112620544 7702582091776 8665404853248 10665113665536 11553873137664 12604225241088 15405164183552 17330809706496 23107746275328 34661619412992 46215492550656 69323238825984 138646477651968
• Sum of all divisors σ(n): 473712125796000
• Sum of proper divisors (its aliquot sum) s(n): 335065648144032
• 138646477651968 is an abundant number, because the sum of its proper divisors (335065648144032) is greater than itself. Its abundance is 196419170492064

Bases of 138646477651968

• Binary: 11111100001100100100110000011001100000000000000₂
• Hexadecimal: 0x7E19260CC000
• Base-36: 1D59B91Q80

Squares and roots of 138646477651968

• 138646477651968 squared (138646477651968²) is 19222845765297662058534273024
• 138646477651968 cubed (138646477651968³) is 2665179855805570008661930875512209362911232
• The square root of 138646477651968 is 11774823.8904863457
• The cube root of 138646477651968 is 51757.0617638099

Scales and comparisons

• 138,646,477,651,968 seconds is equal to 4,408,529 years, 6 weeks, 4 days, 10 hours, 52 minutes, 48 seconds.
• To count from 1 to 138,646,477,651,968 would take you about eleven million, twenty-one thousand, three hundred twenty-two 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 138646477651968 cubic inches would be around 4313.1 feet tall.

Recreational maths with 138646477651968

• 138646477651968 backwards is 869156774646831
• The number of decimal digits it has is: 15
• The sum of 138646477651968's digits is 81
• More coming soon!