21358768380224000

Names of 21358768380224000

• Cardinal: 21358768380224000 can be written as Twenty-one quadrillion, three hundred fifty-eight trillion, seven hundred sixty-eight billion, three hundred eighty million, two hundred twenty-four thousand.

Scientific notation

• Scientific notation: 2.1358768380224 × 10¹⁶

Factors of 21358768380224000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 119917668

Divisors of 21358768380224000

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 110 115 121 125 128 160 176 184 200 220 230 242 250 253 256 275 320 352 368 400 440 460 484 500 506 512 550 575 605 640 704 736 800 880 920 968 1000 1012 1100 1150 1210 1265 1280 1375 1408 1472 1600 1760 1840 1936 2000 2024 2200 2300 2420 2530 2560 2750 2783 2816 2875 2944 3025 3200 3520 3680 3872 4000 4048 4400 4600 4840 5060 5500 5566 5632 5750 5888 6050 6325 6400 7040 7360 7744 8000 8096 8800 9200 9680 10120 11000 11132 11500 11776 12100 12650 12800 13915 14080 14720 15125 15488 16000 16192 17600 18400 19360 20240 22000 22264 23000 24200 25300 27830 28160 29440 30250 30976 31625 32000 32384 35200 36800 38720 40480 44000 44528 46000 48400 50600 55660 58880 60500 61952 63250 64000 64768 69575 70400 73600 77440 80960 88000 89056 92000 96800 101200 111320 121000 126500 129536 139150 140800 147200 154880 161920 176000 178112 184000 193600 202400 222640 242000 253000 278300 294400 309760 323840 347875 352000 356224 368000 387200 404800 445280 484000 506000 556600 647680 695750 704000 712448 736000 774400 809600 890560 968000 1012000 1113200 1391500 1424896 1472000 1548800 1619200 1781120 1936000 2024000 2226400 2783000 3238400 3562240 3872000 4048000 4452800 5566000 7124480 7744000 8096000 8905600 11132000 16192000 17811200 22264000 35622400 44528000 89056000 119917627 178112000 239835254 479670508 599588135 959341016 1199176270 1319093897 1918682032 2398352540 2638187794 2758105421 2997940675 3837364064 4796705080 5276375588 5516210842 5995881350 6595469485 7674728128 9593410160 10552751176 11032421684 11991762700 13190938970 13790527105 14510032867 14989703375 15349456256 19186820320 21105502352 22064843368 23983525400 26381877940 27581054210 29020065734 29979406750 30339159631 30698912512 32977347425 38373640640 42211004704 44129686736 47967050800 52763755880 55162108420 58040131468 59958813500 60678319262 61397825024 65954694850 68952635525 72550164335 76747281280 84422009408 88259373472 95934101600 105527511760 110324216840 116080262936 119917627000 121356638524 131909389700 137905271050 145100328670 151695798155 153494562560 164886737125 168844018816 176518746944 191868203200 211055023520 220648433680 232160525872 239835254000 242713277048 263818779400 275810542100 290200657340 303391596310 306989125120 329773474250 333730755941 337688037632 344763177625 353037493888 362750821675 383736406400 422110047040 441296867360 464321051744 479670508000 485426554096 527637558800 551621084200 580401314680 606783192620 659546948500 667461511882 675376075264 689526355250 706074987776 725501643350 758478990775 767472812800 844220094080 882593734720 928642103488 959341016000 970853108192 1055275117600 1103242168400 1160802629360 1213566385240 1319093897000 1334923023764 1379052710500 1412149975552 1451003286700 1516957981550 1534945625600 1668653779705 1688440188160 1765187469440 1813754108375 1857284206976 1918682032000 1941706216384 2110550235200 2206484336800 2321605258720 2427132770480 2638187794000 2669846047528 2758105421000 2902006573400 3033915963100 3337307559410 3376880376320 3530374938880 3627508216750 3714568413952 3792394953875 3837364064000 3883412432768 4221100470400 4412968673600 4643210517440 4854265540960 5276375588000 5339692095056 5516210842000 5804013146800 6067831926200 6674615118820 7060749877760 7255016433500 7429136827904 7584789907750 7674728128000 7766824865536 8343268898525 8442200940800 8825937347200 9286421034880 9708531081920 10552751176000 10679384190112 11032421684000 11608026293600 12135663852400 13349230237640 14510032867000 15169579815500 15533649731072 16686537797050 16884401881600 17651874694400 18572842069760 19417062163840 21105502352000 21358768380224 22064843368000 23216052587200 24271327704800 26698460475280 29020065734000 30339159631000 33373075594100 35303749388800 37145684139520 38834124327680 41716344492625 42211004704000 42717536760448 44129686736000 46432105174400 48542655409600 53396920950560 58040131468000 60678319262000 66746151188200 77668248655360 83432688985250 84422009408000 85435073520896 88259373472000 92864210348800 97085310819200 106793841901120 116080262936000 121356638524000 133492302376400 166865377970500 170870147041792 176518746944000 185728420697600 194170621638400 213587683802240 232160525872000 242713277048000 266984604752800 333730755941000 388341243276800 427175367604480 464321051744000 485426554096000 533969209505600 667461511882000 854350735208960 928642103488000 970853108192000 1067938419011200 1334923023764000 1941706216384000 2135876838022400 2669846047528000 4271753676044800 5339692095056000 10679384190112000 21358768380224000
• Sum of all divisors σ(n): 61086626819906688
• Sum of proper divisors (its aliquot sum) s(n): 39727858439682688
• 21358768380224000 is an abundant number, because the sum of its proper divisors (39727858439682688) is greater than itself. Its abundance is 18369090059458688

Bases of 21358768380224000

• Binary: 1001011111000011010111111001010001001001010001000000000₂
• Hexadecimal: 0x4BE1AFCA24A200
• Base-36: 5UB1UQIJ08W

Squares and roots of 21358768380224000

• 21358768380224000 squared (21358768380224000²) is 456196986720056552634290176000000
• 21358768380224000 cubed (21358768380224000³) is 9743805775109811933242375382683515879424000000000
• The square root of 21358768380224000 is 146146393.6613695575
• The cube root of 21358768380224000 is 277454.6889424257

Scales and comparisons

• 21,358,768,380,224,000 seconds is equal to 679,142,767 years, 25 weeks, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 21,358,768,380,224,000 would take you about two billion, thirty-seven million, four hundred twenty-eight thousand, three hundred two 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 21358768380224000 cubic inches would be around 23121.2 feet tall.

Recreational maths with 21358768380224000

• 21358768380224000 backwards is 00042208386785312
• The number of decimal digits it has is: 17
• The sum of 21358768380224000's digits is 59
• More coming soon!