138378032314585014805

Names of 138378032314585014805

• Cardinal: 138378032314585014805 can be written as One hundred thirty-eight quintillion, three hundred seventy-eight quadrillion, thirty-two trillion, three hundred fourteen billion, five hundred eighty-five million, fourteen thousand, eight hundred five.

Scientific notation

• Scientific notation: 1.38378032314585014805 × 10²⁰

Factors of 138378032314585014805

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 180

Divisors of 138378032314585014805

• Number of divisors d(n): 288
• Complete list of divisors:
  1 5 7 35 49 71 97 245 343 355 485 497 679 1715 2401 2485 3395 3479 4753 5041 6887 9409 12005 16807 17395 23765 24353 25205 33271 34435 35287 47045 48209 65863 84035 121765 166355 170471 176435 232897 241045 247009 329315 337463 357911 461041 488977 668039 852355 912673 1164485 1193297 1235045 1630279 1687315 1729063 1789555 2305205 2362241 2444885 2505377 3227287 3340195 3422839 4563365 4676273 5966485 6388711 8151395 8645315 11811205 12103441 12526885 16136435 16535687 17114195 17537639 22591009 23381365 23959873 25411681 31943555 32733911 34717367 44720977 47430769 60517205 64799783 82678435 84724087 87688195 112955045 115749809 119799365 122763473 127058405 158137063 163669555 167719111 173586835 177881767 223604885 229137377 237153845 243021569 313046839 323998915 332015383 423620435 453598481 578749045 613817365 790685315 838595555 859344311 889408835 1145686885 1174033777 1215107845 1245172369 1565234195 1603961639 1660076915 1701150983 1804229351 2191327873 2267992405 2324107681 2464933057 3175189367 3367584599 4296721555 4600784593 5870168885 6015410177 6225861845 8019808195 8218236439 8505754915 8716206583 9021146755 10956639365 11227731473 11620538405 11908056881 12324665285 12629605457 15339295111 15875946835 16268753767 16837922995 17254531399 22226325569 23003922965 23573092193 30077050885 32205492151 41091182195 43581032915 56138657365 59540284405 61013446081 63148027285 76696475555 81343768835 83356398167 86272656995 88407238199 111131627845 113881276369 117865460965 120781719793 155584278983 161027460755 165011645351 175010247047 225438445057 239098506529 305067230405 326655706103 416781990835 427094122567 442036190995 569406381845 583494787169 603908598965 618850667393 777921394915 797168934583 825058226755 845472038551 875051235235 1089089952881 1127192225285 1155081517457 1195492532645 1225071729329 1578069115399 1633278530515 1673689545703 2135470612835 2286589942721 2917473935845 3094253336965 3985844672915 4227360192755 4331954671751 5445449764405 5775407587285 5918304269857 6125358646645 7890345576995 8085570622199 8368447728515 8575502105303 11046483807793 11432949713605 11715826819921 16006129599047 16975993963559 21659773358755 23192555133313 29591521349285 30323682702257 40427853110995 41428129888999 42877510526515 55232419038965 56598994355393 58579134099605 60028514737121 77325386654551 80030647995235 82010787739447 84879969817795 112042907193329 115962775666565 118831957744913 151618413511285 162347885933191 207140649444995 282994971776965 300142573685605 386626933272755 410053938697235 420199603159847 560214535966645 574075514176129 594159788724565 784300350353303 811739429665955 831823704214391 1136435201532337 1646671414465223 2100998015799235 2870377570880645 2941397222118929 3921501751766515 4018528599232903 4159118521071955 5490102452473121 5682176007661685 5822765929500737 7955046410726359 8233357072326115 11526699901256561 14706986110594645 20092642996164515 27450512262365605 29113829647503685 39775232053631795 40759361506505159 55685324875084513 57633499506282805 80686899308795927 203796807532525795 278426624375422565 285315530545536113 389797274125591591 403434496543979635 564808295161571489 1426577652727680565 1948986370627957955 2824041475807857445 3953658066131000423 19768290330655002115 27675606462917002961 138378032314585014805
• Sum of all divisors σ(n): 198541957777317987840
• Sum of proper divisors (its aliquot sum) s(n): 60163925462732973035
• 138378032314585014805 is a deficient number, because the sum of its proper divisors (60163925462732973035) is less than itself. Its deficiency is 78214106851852041770

Bases of 138378032314585014805

• Binary: 1111000000001100001100001110011101101011100010111010110001000010101₂
• Hexadecimal: 0x78061873B5C5D6215
• Base-36: T7BXIK3J6CZRP

Squares and roots of 138378032314585014805

• 138378032314585014805 squared (138378032314585014805²) is 19148479827256334589777259059862069188025
• 138378032314585014805 cubed (138378032314585014805³) is 2649728960311256350017582286512995968685766883572778953710125
• The square root of 138378032314585014805 is 11763419244.1902288431
• The cube root of 138378032314585014805 is 5172363.6419762779

Scales and comparisons

• 138,378,032,314,585,014,805 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,378,032,314,585,014,805 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 138378032314585014805 cubic inches would be around 431030.3 feet tall.

Recreational maths with 138378032314585014805

• 138378032314585014805 backwards is 508410585413230873831
• The number of decimal digits it has is: 21
• The sum of 138378032314585014805's digits is 79
• More coming soon!