138967136704800

Names of 138967136704800

• Cardinal: 138967136704800 can be written as One hundred thirty-eight trillion, nine hundred sixty-seven billion, one hundred thirty-six million, seven hundred four thousand, eight hundred.

Scientific notation

• Scientific notation: 1.389671367048 × 10¹⁴

Factors of 138967136704800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 980

Divisors of 138967136704800

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 72 75 80 87 90 96 100 116 120 144 145 150 160 174 180 200 225 232 240 261 288 290 300 348 360 400 435 450 464 480 522 580 600 696 720 725 800 841 870 900 928 941 1044 1160 1200 1305 1392 1440 1450 1682 1740 1800 1882 2088 2175 2320 2400 2523 2610 2784 2823 2900 3364 3480 3600 3764 4176 4205 4350 4640 4705 5046 5220 5646 5800 6525 6728 6960 7200 7528 7569 8352 8410 8469 8700 9410 10092 10440 11292 11600 12615 13050 13456 13920 14115 15056 15138 16820 16938 17400 18820 20184 20880 21025 22584 23200 23525 24389 25230 26100 26912 27289 28230 30112 30276 33640 33876 34800 37640 37845 40368 41760 42050 42345 45168 47050 48778 50460 52200 54578 56460 60552 63075 67280 67752 69600 70575 73167 75280 75690 80736 81867 84100 84690 90336 94100 97556 100920 104400 109156 112920 121104 121945 126150 134560 135504 136445 141150 146334 150560 151380 163734 168200 169380 188200 189225 195112 201840 208800 211725 218312 219501 225840 242208 243890 245601 252300 271008 272890 282300 292668 302760 327468 336400 338760 365835 376400 378450 390224 403680 409335 423450 436624 439002 451680 487780 491202 504600 545780 564600 585336 605520 609725 654936 672800 677520 682225 707281 731670 752800 756900 780448 791381 818670 846900 873248 878004 975560 982404 1009200 1091560 1097505 1129200 1170672 1211040 1219450 1228005 1309872 1355040 1364450 1414562 1463340 1513800 1582762 1637340 1693800 1756008 1829175 1951120 1964808 2018400 2046675 2121843 2183120 2195010 2258400 2341344 2374143 2438900 2456010 2619744 2728900 2829124 2926680 3027600 3165524 3274680 3387600 3512016 3536405 3658350 3902240 3929616 3956905 4093350 4243686 4366240 4390020 4748286 4877800 4912020 5457800 5487525 5658248 5853360 6055200 6140025 6331048 6365529 6549360 6775200 7024032 7072810 7122429 7316700 7859232 7913810 8186700 8487372 8780040 9496572 9755600 9824040 10609215 10915600 10975050 11316496 11706720 11870715 12280050 12662096 12731058 13098720 14145620 14244858 14633400 15827620 16373400 16974744 17560080 17682025 18993144 19511200 19648080 19784525 20511149 21218430 21831200 21950100 22632992 22950049 23741430 24560100 25324192 25462116 28291240 28489716 29266800 31655240 31827645 32746800 33949488 35120160 35364050 35612145 37986288 39296160 39569050 41022298 42436860 43900200 45900098 47482860 49120200 50924232 53046075 56582480 56979432 58533600 59353575 61533447 63310480 63655290 65493600 67898976 68850147 70728100 71224290 75972576 79138100 82044596 84873720 87800400 91800196 94965720 98240400 101848464 102555745 106092150 113164960 113958864 114750245 118707150 123066894 126620960 127310580 137700294 141456200 142448580 158276200 159138225 164089192 169747440 175600800 178060725 183600392 184600341 189931440 196480800 203696928 205111490 206550441 212184300 227917728 229500490 237414300 246133788 254621160 275400588 282912400 284897160 307667235 316552400 318276450 328178384 339494880 344250735 356121450 367200784 369200682 379862880 410222980 413100882 424368600 459000980 474828600 492267576 509242320 512778725 550801176 565824800 569794320 573751225 615334470 633104800 636552900 656356768 665551421 688501470 712242900 734401568 738401364 820445960 826201764 848737200 918001960 923001705 949657200 984535152 1018484640 1025557450 1032752205 1101602352 1139588640 1147502450 1230668940 1273105800 1331102842 1377002940 1424485800 1476802728 1538336175 1640891920 1652403528 1697474400 1721253675 1836003920 1846003410 1899314400 1969070304 1996654263 2051114900 2065504410 2203204704 2295004900 2461337880 2546211600 2662205684 2754005880 2848971600 2953605456 3076672350 3281783840 3304807056 3327757105 3442507350 3672007840 3692006820 3993308526 4102229800 4131008820 4590009800 4615008525 4922675760 5092423200 5163761025 5324411368 5508011760 5697943200 5907210912 5989962789 6153344700 6609614112 6655514210 6885014700 7384013640 7986617052 8204459600 8262017640 9180019600 9230017050 9845351520 9983271315 10327522050 10648822736 11016023520 11979925578 12306689400 13311028420 13770029400 14768027280 15973234104 16408919200 16524035280 16638785525 18360039200 18460034100 19300991209 19966542630 20655044100 21297645472 23959851156 24613378800 26622056840 27540058800 29536054560 29949813945 31946468208 33048070560 33277571050 36920068200 38601982418 39933085260 41310088200 47919702312 49226757600 49916356575 53244113680 55080117600 57902973627 59899627890 63892936416 66555142100 73840136400 77203964836 79866170520 82620176400 95839404624 96504956045 99832713150 106488227360 115805947254 119799255780 133110284200 147680272800 149749069725 154407929672 159732341040 165240352800 173708920881 191678809248 193009912090 199665426300 231611894508 239598511560 266220568400 289514868135 299498139450 308815859344 319464682080 347417841762 386019824180 399330852600 463223789016 479197023120 482524780225 532441136800 579029736270 598996278900 617631718688 694835683524 772039648360 798661705200 868544604405 926447578032 958394046240 965049560450 1158059472540 1197992557800 1389671367048 1447574340675 1544079296720 1597323410400 1737089208810 1852895156064 1930099120900 2316118945080 2395985115600 2779342734096 2895148681350 3088158593440 3474178417620 3860198241800 4342723022025 4632237890160 4791970231200 5558685468192 5790297362700 6948356835240 7720396483600 8685446044050 9264475780320 11580594725400 13896713670480 15440792967200 17370892088100 23161189450800 27793427340960 34741784176200 46322378901600 69483568352400 138967136704800
• Sum of all divisors σ(n): 508073394776220
• Sum of proper divisors (its aliquot sum) s(n): 369106258071420
• 138967136704800 is an abundant number, because the sum of its proper divisors (369106258071420) is greater than itself. Its abundance is 230139121366620

Bases of 138967136704800

• Binary: 11111100110001111001110110100011001100100100000₂
• Hexadecimal: 0x7E63CED19920
• Base-36: 1D9CMD62W0

Squares and roots of 138967136704800

• 138967136704800 squared (138967136704800²) is 19311865083930571402343040000
• 138967136704800 cubed (138967136704800³) is 2683714595143233641781382682704814592000000
• The square root of 138967136704800 is 11788432.3260050147
• The cube root of 138967136704800 is 51796.9319730479

Scales and comparisons

• 138,967,136,704,800 seconds is equal to 4,418,725 years, 4 weeks, 6 days, 2 hours.
• To count from 1 to 138,967,136,704,800 would take you about eleven million, forty-six 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 138967136704800 cubic inches would be around 4316.4 feet tall.

Recreational maths with 138967136704800

• 138967136704800 backwards is 008407631769831
• The number of decimal digits it has is: 15
• The sum of 138967136704800's digits is 63
• More coming soon!