213321944741751000

Names of 213321944741751000

• Cardinal: 213321944741751000 can be written as Two hundred thirteen quadrillion, three hundred twenty-one trillion, nine hundred forty-four billion, seven hundred forty-one million, seven hundred fifty-one thousand.

Scientific notation

• Scientific notation: 2.13321944741751 × 10¹⁷

Factors of 213321944741751000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2223

Divisors of 213321944741751000

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 243 250 270 300 324 360 375 405 450 486 500 540 600 648 675 729 750 810 900 972 1000 1080 1125 1215 1350 1458 1500 1620 1800 1944 2025 2187 2213 2250 2430 2700 2916 3000 3240 3375 3645 4050 4374 4426 4500 4860 5400 5832 6075 6561 6639 6750 7290 8100 8748 8852 9000 9720 10125 10935 11065 12150 13122 13278 13500 14580 16200 17496 17704 18225 19683 19917 20250 21870 22130 24300 26244 26556 27000 29160 30375 32805 33195 36450 39366 39834 40500 43740 44260 48600 52488 53112 54675 55325 59751 60750 65610 66390 72900 78732 79668 81000 87480 88520 91125 98415 99585 109350 110650 119502 121500 131220 132780 145800 157464 159336 164025 165975 179253 182250 196830 199170 218700 221300 239004 243000 262440 265560 273375 276625 298755 328050 331950 358506 364500 393660 398340 437400 442600 478008 492075 497925 537759 546750 553250 597510 656100 663900 717012 729000 787320 796680 820125 829875 896265 984150 995850 1075518 1093500 1106500 1195020 1312200 1327800 1434024 1493775 1613277 1640250 1659750 1792530 1968300 1991700 2151036 2187000 2213000 2390040 2460375 2489625 2688795 2987550 3226554 3280500 3319500 3585060 3936600 3983400 4302072 4481325 4839831 4897369 4920750 4979250 5377590 5975100 6453108 6561000 6639000 7170120 7468875 8066385 8962650 9679662 9794738 9841500 9958500 10755180 11950200 12906216 13443975 14519493 14692107 14937750 16132770 17925300 19359324 19589476 19683000 19917000 21510360 22406625 24199155 24486845 26887950 29038986 29384214 29875500 32265540 35850600 38718648 39178952 40331925 43558479 44076321 44813250 48398310 48973690 53775900 58077972 58768428 59751000 64531080 67219875 72597465 73460535 80663850 87116958 88152642 89626500 96796620 97947380 107551800 116155944 117536856 120995775 122434225 132228963 134439750 145194930 146921070 161327700 174233916 176305284 179253000 193593240 195894760 201659625 217792395 220381605 241991550 244868450 264457926 268879500 290389860 293842140 322655400 348467832 352610568 362987325 367302675 396686889 403319250 435584790 440763210 483983100 489736900 528915852 537759000 580779720 587684280 604978875 612171125 661144815 725974650 734605350 793373778 806638500 871169580 881526420 967966200 979473800 1057831704 1088961975 1101908025 1190060667 1209957750 1224342250 1322289630 1451949300 1469210700 1586747556 1613277000 1742339160 1763052840 1814936625 1836513375 1983434445 2177923950 2203816050 2380121334 2419915500 2448684500 2644579260 2903898600 2938421400 3173495112 3305724075 3570182001 3629873250 3673026750 3966868890 4355847900 4407632100 4760242668 4839831000 4897369000 5289158520 5444809875 5509540125 5950303335 6611448150 7140364002 7259746500 7346053500 7933737780 8711695800 8815264200 9520485336 9917172225 10710546003 10889619750 11019080250 11900606670 13222896300 14280728004 14519493000 14692107000 15867475560 16528620375 17850910005 19834344450 21421092006 21779239500 22038160500 23801213340 26445792600 28561456008 29751516675 32131638009 33057240750 35701820010 39668688900 42842184012 43558479000 44076321000 47602426680 49585861125 53552730015 59503033350 64263276018 66114481500 71403640020 79337377800 85684368024 89254550025 96394914027 99171722250 107105460030 119006066700 128526552036 132228963000 142807280040 148757583375 160658190045 178509100050 192789828054 198343444500 214210920060 238012133400 257053104072 267763650075 297515166750 321316380090 357018200100 385579656108 396686889000 428421840120 446272750125 481974570135 535527300150 595030333500 642632760180 714036400200 771159312216 803290950225 892545500250 963949140270 1071054600300 1190060667000 1285265520360 1338818250375 1606581900450 1785091000500 1927898280540 2142109200600 2409872850675 2677636500750 3213163800900 3570182001000 3855796561080 4016454751125 4819745701350 5355273001500 6426327601800 8032909502250 9639491402700 10710546003000 12049364253375 16065819004500 19278982805400 24098728506750 32131638009000 48197457013500 96394914027000
• Sum of all divisors σ(n): 213564043202795280
• Sum of proper divisors (its aliquot sum) s(n): 242098461044280
• 213321944741751000 is a deficient number, because the sum of its proper divisors (242098461044280) is less than itself. Its deficiency is 213079846280706720

Bases of 213321944741751000

• Binary: 1011110101110111110010110110110011001000001010100011011000₂
• Hexadecimal: 0x2F5DF2DB320A8D8
• Base-36: 1MCGBGIXUDI0

Squares and roots of 213321944741751000

• 213321944741751000 squared (213321944741751000²) is 45506252108402667118082546001000000
• 213321944741751000 cubed (213321944741751000³) is 9707482197672863692074033002907592522787751000000000
• The square root of 213321944741751000 is 461867886.6751302943
• 213321944741751000 is a perfect cube number. Its cube root is 597510

Scales and comparisons

• 213,321,944,741,751,000 seconds is equal to 6,782,977,994 years, 35 weeks, 5 days, 13 hours, 30 minutes.
• To count from 1 to 213,321,944,741,751,000 would take you about twenty billion, three hundred forty-eight million, nine hundred thirty-three thousand, nine hundred eighty-four 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 213321944741751000 cubic inches would be around 49792.5 feet tall.

Recreational maths with 213321944741751000

• 213321944741751000 backwards is 000157147449123312
• 213321944741751000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 213321944741751000's digits is 54
• More coming soon!