13688637261138007949312

Names of 13688637261138007949312

• Cardinal: 13688637261138007949312 can be written as Thirteen sextillion, six hundred eighty-eight quintillion, six hundred thirty-seven quadrillion, two hundred sixty-one trillion, one hundred thirty-eight billion, seven million, nine hundred forty-nine thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.3688637261138007949312 × 10²²

Factors of 13688637261138007949312

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 1916

Divisors of 13688637261138007949312

• Number of divisors d(n): 525
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 1907 2048 2401 2744 3136 3584 3814 4096 4802 5488 6272 7168 7628 8192 9604 10976 12544 13349 14336 15256 16384 16807 19208 21952 25088 26698 28672 30512 32768 33614 38416 43904 50176 53396 57344 61024 65536 67228 76832 87808 93443 100352 106792 114688 117649 122048 131072 134456 153664 175616 186886 200704 213584 229376 235298 244096 262144 268912 307328 351232 373772 401408 427168 458752 470596 488192 524288 537824 614656 654101 702464 747544 802816 854336 917504 941192 976384 1048576 1075648 1229312 1308202 1404928 1495088 1605632 1708672 1835008 1882384 1952768 2097152 2151296 2458624 2616404 2809856 2990176 3211264 3417344 3636649 3670016 3764768 3905536 4194304 4302592 4578707 4917248 5232808 5619712 5980352 6422528 6834688 7273298 7340032 7529536 7811072 8388608 8605184 9157414 9834496 10465616 11239424 11960704 12845056 13669376 14546596 14680064 15059072 15622144 16777216 17210368 18314828 19668992 20931232 22478848 23921408 25456543 25690112 27338752 29093192 29360128 30118144 31244288 32050949 34420736 36629656 39337984 41862464 44957696 47842816 50913086 51380224 54677504 58186384 58720256 60236288 62488576 64101898 68841472 73259312 78675968 83724928 89915392 95685632 101826172 102760448 109355008 116372768 117440512 120472576 124977152 128203796 137682944 146518624 157351936 167449856 178195801 179830784 191371264 203652344 205520896 218710016 224356643 232745536 240945152 249954304 256407592 275365888 293037248 314703872 334899712 356391602 359661568 382742528 407304688 411041792 437420032 448713286 465491072 481890304 499908608 512815184 550731776 586074496 629407744 669799424 712783204 719323136 765485056 814609376 822083584 874840064 897426572 930982144 963780608 999817216 1025630368 1101463552 1172148992 1247370607 1258815488 1339598848 1425566408 1438646272 1530970112 1629218752 1749680128 1794853144 1861964288 1927561216 1999634432 2051260736 2202927104 2344297984 2494741214 2517630976 2679197696 2851132816 2877292544 3061940224 3258437504 3499360256 3589706288 3723928576 3855122432 3999268864 4102521472 4405854208 4688595968 4989482428 5035261952 5358395392 5702265632 5754585088 6123880448 6516875008 6998720512 7179412576 7447857152 7710244864 7998537728 8205042944 8731594249 8811708416 9377191936 9978964856 10070523904 10716790784 11404531264 12247760896 13033750016 13997441024 14358825152 14895714304 15420489728 15997075456 16410085888 17463188498 17623416832 18754383872 19957929712 20141047808 21433581568 22809062528 24495521792 26067500032 27994882048 28717650304 29791428608 30840979456 31994150912 32820171776 34926376996 35246833664 37508767744 39915859424 40282095616 42867163136 45618125056 48991043584 52135000064 55989764096 57435300608 59582857216 61121159743 61681958912 65640343552 69852753992 70493667328 75017535488 79831718848 85734326272 91236250112 97982087168 104270000128 111979528192 114870601216 119165714432 122242319486 123363917824 131280687104 139705507984 140987334656 150035070976 159663437696 171468652544 182472500224 195964174336 208540000256 223959056384 229741202432 238331428864 244484638972 246727835648 262561374208 279411015968 281974669312 300070141952 319326875392 342937305088 364945000448 391928348672 417080000512 427848118201 459482404864 476662857728 488969277944 493455671296 525122748416 558822031936 600140283904 638653750784 685874610176 729890000896 783856697344 834160001024 855696236402 918964809728 953325715456 977938555888 986911342592 1050245496832 1117644063872 1200280567808 1277307501568 1371749220352 1459780001792 1567713394688 1668320002048 1711392472804 1837929619456 1906651430912 1955877111776 1973822685184 2100490993664 2235288127744 2400561135616 2554615003136 2743498440704 2919560003584 3336640004096 3422784945608 3675859238912 3813302861824 3911754223552 4200981987328 4470576255488 4801122271232 5109230006272 5486996881408 5839120007168 6673280008192 6845569891216 7351718477824 7626605723648 7823508447104 8401963974656 8941152510976 9602244542464 10218460012544 10973993762816 11678240014336 13346560016384 13691139782432 14703436955648 15253211447296 15647016894208 16803927949312 17882305021952 19204489084928 20436920025088 23356480028672 26693120032768 27382279564864 29406873911296 30506422894592 31294033788416 33607855898624 35764610043904 38408978169856 40873840050176 46712960057344 53386240065536 54764559129728 58813747822592 61012845789184 62588067576832 67215711797248 71529220087808 76817956339712 81747680100352 93425920114688 106772480131072 109529118259456 117627495645184 125176135153664 134431423594496 143058440175616 163495360200704 186851840229376 213544960262144 219058236518912 235254991290368 250352270307328 268862847188992 286116880351232 326990720401408 373703680458752 427089920524288 438116473037824 470509982580736 500704540614656 537725694377984 572233760702464 653981440802816 747407360917504 876232946075648 941019965161472 1001409081229312 1144467521404928 1307962881605632 1494814721835008 1752465892151296 1882039930322944 2002818162458624 2288935042809856 2615925763211264 2989629443670016 3504931784302592 3764079860645888 4005636324917248 4577870085619712 5231851526422528 7009863568605184 8011272649834496 9155740171239424 10463703052845056 14019727137210368 16022545299668992 18311480342478848 20927406105690112 28039454274420736 32045090599337984 36622960684957696 56078908548841472 64090181198675968 73245921369915392 112157817097682944 128180362397351936 146491842739830784 224315634195365888 256360724794703872 448631268390731776 512721449589407744 897262536781463552 1025442899178815488 1794525073562927104 3589050147125854208 7178100294251708416
• Sum of all divisors σ(n): 13698216828141235009115
• Sum of proper divisors (its aliquot sum) s(n): 9579567003227059803
• 13688637261138007949312 is a deficient number, because the sum of its proper divisors (9579567003227059803) is less than itself. Its deficiency is 13679057694134780889509

Bases of 13688637261138007949312

• Binary: 10111001100001000000000000110101110111111100011011000000000000000000000000₂
• Hexadecimal: 0x2E61000D77F1B000000
• Base-36: 288VUJOEMY4YVI8

Squares and roots of 13688637261138007949312

• 13688637261138007949312 squared (13688637261138007949312²) is 187378790067015863635551931222937303561273344
• 13688637261138007949312 cubed (13688637261138007949312³) is 2564960287658309800601423704430524026361073134846108952744928739328
• The square root of 13688637261138007949312 is 116998449823.6536805325
• 13688637261138007949312 is a perfect cube number. Its cube root is 23921408

Scales and comparisons

• 13,688,637,261,138,007,949,312 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 13,688,637,261,138,007,949,312 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 13688637261138007949312 cubic inches would be around 1993450.7 feet tall.

Recreational maths with 13688637261138007949312

• 13688637261138007949312 backwards is 21394970083116273688631
• 13688637261138007949312 is a Harshad number.
• The number of decimal digits it has is: 23
• The sum of 13688637261138007949312's digits is 98
• More coming soon!