138863769731641129536

Names of 138863769731641129536

• Cardinal: 138863769731641129536 can be written as One hundred thirty-eight quintillion, eight hundred sixty-three quadrillion, seven hundred sixty-nine trillion, seven hundred thirty-one billion, six hundred forty-one million, one hundred twenty-nine thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 1.38863769731641129536 × 10²⁰

Factors of 138863769731641129536

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 552

Divisors of 138863769731641129536

• Number of divisors d(n): 245
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 547 576 648 864 1094 1296 1641 1728 2188 2592 3282 4376 4923 5184 6564 8752 9846 13128 14769 17504 19692 26256 29538 35008 39384 44307 52512 59076 78768 88614 105024 118152 157536 177228 236304 299209 315072 354456 472608 598418 708912 897627 945216 1196836 1417824 1795254 2393672 2692881 2835648 3590508 4787344 5385762 7181016 8078643 9574688 10771524 14362032 16157286 19149376 21543048 24235929 28724064 32314572 43086096 48471858 57448128 64629144 86172192 96943716 129258288 163667323 172344384 193887432 258516576 327334646 387774864 491001969 517033152 654669292 775549728 982003938 1309338584 1473005907 1551099456 1964007876 2618677168 2946011814 3928015752 4419017721 5237354336 5892023628 7856031504 8838035442 10474708672 11784047256 13257053163 15712063008 17676070884 23568094512 26514106326 31424126016 35352141768 47136189024 53028212652 70704283536 89526025681 94272378048 106056425304 141408567072 179052051362 212112850608 268578077043 282817134144 358104102724 424225701216 537156154086 716208205448 805734231129 848451402432 1074312308172 1432416410896 1611468462258 2148624616344 2417202693387 2864832821792 3222936924516 4297249232688 4834405386774 5729665643584 6445873849032 7251608080161 8594498465376 9668810773548 12891747698064 14503216160322 17188996930752 19337621547096 25783495396128 29006432320644 38675243094192 48970736047507 51566990792256 58012864641288 77350486188384 97941472095014 116025729282576 146912208142521 154700972376768 195882944190028 232051458565152 293824416285042 391765888380056 440736624427563 464102917130304 587648832570084 783531776760112 881473248855126 1175297665140168 1322209873282689 1567063553520224 1762946497710252 2350595330280336 2644419746565378 3134127107040448 3525892995420504 3966629619848067 4701190660560672 5288839493130756 7051785990841008 7933259239696134 9402381321121344 10577678986261512 14103571981682016 15866518479392268 21155357972523024 26786992617986329 28207143963364032 31733036958784536 42310715945046048 53573985235972658 63466073917569072 80360977853958987 84621431890092096 107147970471945316 126932147835138144 160721955707917974 214295940943890632 241082933561876961 253864295670276288 321443911415835948 428591881887781264 482165867123753922 642887822831671896 723248800685630883 857183763775562528 964331734247507844 1285775645663343792 1446497601371261766 1714367527551125056 1928663468495015688 2169746402056892649 2571551291326687584 2892995202742523532 3857326936990031376 4339492804113785298 5143102582653375168 5785990405485047064 7714653873980062752 8678985608227570596 11571980810970094128 15429307747960125504 17357971216455141192 23143961621940188256 34715942432910282384 46287923243880376512 69431884865820564768 138863769731641129536
• Sum of all divisors σ(n): 412389627127556716099
• Sum of proper divisors (its aliquot sum) s(n): 273525857395915586563
• 138863769731641129536 is an abundant number, because the sum of its proper divisors (273525857395915586563) is greater than itself. Its abundance is 134662087664274457027

Bases of 138863769731641129536

• Binary: 1111000011100011111001101101101011011010010000111000011101001000000₂
• Hexadecimal: 0x7871F36D6D21C3A40
• Base-36: TB0SA3ODP4400

Squares and roots of 138863769731641129536

• 138863769731641129536 squared (138863769731641129536²) is 19283146544082251140871104796713931575296
• 138863769731641129536 cubed (138863769731641129536³) is 2677730421398929157946464596462235121805718409440981273542656
• 138863769731641129536 is a perfect square number. Its square root is 11784047256
• The cube root of 138863769731641129536 is 5178408.6201853123
• Being both a perfect square and a perfect cube, 138863769731641129536 is also a perfect sixth number.

Scales and comparisons

• 138,863,769,731,641,129,536 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,863,769,731,641,129,536 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138863769731641129536 cubic inches would be around 431534.1 feet tall.

Recreational maths with 138863769731641129536

• 138863769731641129536 backwards is 635921146137967368831
• The number of decimal digits it has is: 21
• The sum of 138863769731641129536's digits is 99
• More coming soon!