138794229761798800

Names of 138794229761798800

• Cardinal: 138794229761798800 can be written as One hundred thirty-eight quadrillion, seven hundred ninety-four trillion, two hundred twenty-nine billion, seven hundred sixty-one million, seven hundred ninety-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.387942297617988 × 10¹⁷

Factors of 138794229761798800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 88014337

Divisors of 138794229761798800

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 49 50 56 68 70 80 85 98 100 112 119 136 140 170 175 196 200 238 245 272 280 340 350 392 400 425 476 490 560 595 680 700 784 833 850 952 980 1190 1225 1360 1400 1666 1700 1904 1960 2380 2450 2800 2975 3332 3400 3920 4165 4733 4760 4900 5950 6664 6800 8330 9466 9520 9800 11900 13328 16660 18932 19600 20825 23665 23800 33131 33320 37864 41650 47330 47600 66262 66640 75728 80461 83300 94660 118325 132524 160922 165655 166600 189320 231917 236650 265048 321844 331310 333200 378640 402305 463834 473300 530096 563227 643688 662620 804610 828275 927668 946600 1126454 1159585 1287376 1325240 1609220 1656550 1855336 1893200 2011525 2252908 2319170 2650480 2816135 3218440 3313100 3710672 3942589 4023050 4505816 4638340 5632270 5797925 6436880 6626200 7885178 8046100 9011632 9276680 11264540 11595850 13252400 14080675 15770356 16092200 18553360 19712945 22529080 23191700 28161350 31540712 32184400 39425890 45058160 46383400 56322700 63081424 78851780 88009573 92766800 98564725 112645400 157703560 176019146 197129450 225290800 315407120 352038292 394258900 440047865 616067011 704076584 788517800 880095730 1232134022 1408153168 1496162741 1577035600 1760191460 2200239325 2464268044 2992325482 3080335055 3520382920 4312469077 4400478650 4928536088 5984650964 6160670110 7040765840 7480813705 8624938154 8800957300 9857072176 10473139187 11969301928 12321340220 14961627410 15401675275 17249876308 17601914600 20946278374 21562345385 23938603856 24642680440 29923254820 30803350550 34499752616 35203829200 37404068525 41892556748 43124690770 49285360880 52365695935 59846509640 61606701100 68999505232 73311974309 74808137050 83785113496 86249381540 104731391870 107811726925 119693019280 123213402200 146623948618 149616274100 167570226992 172498763080 209462783740 215623453850 246426804400 261828479675 293247897236 299232548200 344997526160 366559871545 416549309009 418925567480 431246907700 523656959350 586495794472 598465096400 733119743090 833098618018 837851134960 862493815400 1047313918700 1172991588944 1466239486180 1666197236036 1724987630800 1832799357725 2082746545045 2094627837400 2915845163063 2932478972360 3332394472072 3665598715450 4165493090090 4189255674800 5831690326126 5864957944720 6664788944144 7081338253153 7331197430900 8330986180180 10413732725225 11663380652252 14162676506306 14579225815315 14662394861800 16661972360360 20410916141441 20827465450450 23326761304504 28325353012612 29158451630630 29324789723600 33323944720720 35406691265765 40821832282882 41654930900900 46653522609008 49569367772071 56650706025224 58316903261260 70813382531530 72896129076575 81643664565764 83309861801800 99138735544142 102054580707205 113301412050448 116633806522520 141626765063060 145792258153150 163287329131528 166619723603600 177033456328825 198277471088284 204109161414410 233267613045040 247846838860355 283253530126120 291584516306300 326574658263056 346985574404497 354066912657650 396554942176568 408218322828820 495693677720710 510272903536025 566507060252240 583169032612600 693971148808994 708133825315300 793109884353136 816436645657640 991387355441420 1020545807072050 1166338065225200 1239234194301775 1387942297617988 1416267650630600 1632873291315280 1734927872022485 1982774710882840 2041091614144100 2478468388603550 2775884595235976 2832535301261200 3469855744044970 3965549421765680 4082183228288200 4956936777207100 5551769190471952 6939711488089940 8164366456576400 8674639360112425 9913873554414200 13879422976179880 17349278720224850 19827747108828400 27758845952359760 34698557440449700 69397114880899400 138794229761798800
• Sum of all divisors σ(n): 410798567867049576
• Sum of proper divisors (its aliquot sum) s(n): 272004338105250776
• 138794229761798800 is an abundant number, because the sum of its proper divisors (272004338105250776) is greater than itself. Its abundance is 133210108343451976

Bases of 138794229761798800

• Binary: 111101101000110001001110111011001110100110111001010010000₂
• Hexadecimal: 0x1ED189DD9D37290
• Base-36: 11YMG4X3CVPS

Squares and roots of 138794229761798800

• 138794229761798800 squared (138794229761798800²) is 19263838215170995778587811681440000
• 138794229761798800 cubed (138794229761798800³) is 2673709587330563297962756410055919043306974272000000
• The square root of 138794229761798800 is 372550976.0580406801
• The cube root of 138794229761798800 is 517754.4064206303

Scales and comparisons

• 138,794,229,761,798,800 seconds is equal to 4,413,227,187 years, 35 weeks, 4 days, 2 hours, 46 minutes, 40 seconds.
• To count from 1 to 138,794,229,761,798,800 would take you about thirteen billion, two hundred thirty-nine million, six hundred eighty-one thousand, five hundred sixty-three 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 138794229761798800 cubic inches would be around 43146.2 feet tall.

Recreational maths with 138794229761798800

• 138794229761798800 backwards is 008897167922497831
• The number of decimal digits it has is: 18
• The sum of 138794229761798800's digits is 91
• More coming soon!