448380195674188113

Names of 448380195674188113

• Cardinal: 448380195674188113 can be written as Four hundred forty-eight quadrillion, three hundred eighty trillion, one hundred ninety-five billion, six hundred seventy-four million, one hundred eighty-eight thousand, one hundred thirteen.

Scientific notation

• Scientific notation: 4.48380195674188113 × 10¹⁷

Factors of 448380195674188113

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 730

Divisors of 448380195674188113

• Number of divisors d(n): 320
• Complete list of divisors:
  1 3 7 9 21 27 37 49 63 81 111 147 189 259 333 343 441 567 683 777 999 1029 1323 1369 1813 2049 2331 2997 3087 3969 4107 4781 5439 6147 6993 9261 9583 12321 12691 14343 16317 18441 20979 25271 27783 28749 33467 36963 38073 43029 48951 50653 55323 67081 75813 86247 100401 110889 114219 129087 146853 151959 176897 201243 227439 234269 258741 301203 342657 354571 387261 455877 466489 469567 530691 603729 682317 702807 776223 903609 935027 1027971 1063713 1238279 1367631 1399467 1408701 1592073 1811187 2046951 2108421 2481997 2710827 2805081 3191139 3265423 3714837 4102893 4198401 4226103 4776219 5433561 6325263 6545189 7445991 8415243 8667953 9573417 9796269 11144511 12595203 12678309 14328657 17260093 17373979 18975789 19635567 22337973 22857961 25245729 26003859 28720251 29388807 33433533 34595999 37785609 38034927 45816323 51780279 52121937 58906701 67013919 68573883 75737187 78011577 88166421 100300599 103787997 120820651 137448969 155340837 156365811 160005727 176720103 201041757 205721649 234034731 242171993 264499263 311363991 318611987 320714261 362461953 412346907 466022511 469097433 480017181 530160309 617164947 638623441 702104193 726515979 845744557 934091973 955835961 962142783 1087385859 1237040721 1398067533 1407292299 1440051543 1695203951 1851494841 1915870323 2179547937 2230283909 2537233671 2802275919 2867507883 2886428349 3262157577 3711122163 4320154629 4470364087 5085611853 5747610969 5920211899 6538643811 6690851727 7611701013 8602523649 8659285047 9786472731 11788643519 11866427657 12960463887 13411092261 15256835559 15611987363 17242832907 17760635697 19615931433 20072555181 22835103039 23629067317 25807570947 25977855141 31292548609 35365930557 35599282971 40233276783 45770506677 46835962089 51728498721 53281907091 60217665543 68505309117 70887201951 82520504633 93877645827 106097791671 106797848913 109283911541 120699830349 137311520031 140507886267 159845721273 165403471219 180652996629 212661605853 219047840263 247561513899 281632937481 318293375013 320393546739 327851734623 362099491047 421523658801 436179810203 479537163819 496210413657 577643532431 637984817559 657143520789 742684541697 844898812443 954880125039 961180640217 983555203869 1157824298533 1264570976403 1308539430609 1488631240971 1732930597293 1913954452677 1971430562367 2228053625091 2534696437329 2950665611607 3053258671421 3473472895599 3925618291827 4043504727017 4465893722913 5198791791879 5914291687101 6684160875273 8104770089731 8851996834821 9159776014263 10420418686797 11776854875481 12130514181051 13397681168739 15596375375637 16138652977511 17742875061303 21372810699947 24314310269193 27479328042789 31261256060391 35330564626443 36391542543153 46789126126911 48415958932533 64118432099841 72942930807579 82437984128367 93783768181173 109174627629459 112970570842577 145247876797599 149609674899629 192355296299523 218828792422737 247313952385101 327523882888377 338911712527731 435743630392797 448829024698887 577065888898569 656486377268211 790793995898039 1016735137583193 1307230891178391 1346487074096661 1731197666695707 2372381987694117 3050205412749579 4039461222289983 5535557971286273 7117145963082351 9150616238248737 12118383666869949 16606673913858819 21351437889247053 49820021741576457 64054313667741159 149460065224729371 448380195674188113
• Sum of all divisors σ(n): 803985035768640000
• Sum of proper divisors (its aliquot sum) s(n): 355604840094451887
• 448380195674188113 is a deficient number, because the sum of its proper divisors (355604840094451887) is less than itself. Its deficiency is 92775355579736226

Bases of 448380195674188113

• Binary: 11000111000111101110110100110001111011110101110100101010001₂
• Hexadecimal: 0x638F7698F7AE951
• Base-36: 3EMXII9ITS29

Squares and roots of 448380195674188113

• 448380195674188113 squared (448380195674188113²) is 201044799872823220601773681710500769
• 448380195674188113 cubed (448380195674188113³) is 90144506706254465108672627831314791277335080737158897
• The square root of 448380195674188113 is 669611973.9626734849
• The cube root of 448380195674188113 is 765388.8667160087

Scales and comparisons

• 448,380,195,674,188,113 seconds is equal to 14,257,103,291 years, 22 weeks, 2 days, 21 hours, 8 minutes, 33 seconds.
• To count from 1 to 448,380,195,674,188,113 would take you about forty-two billion, seven hundred seventy-one million, three hundred nine thousand, eight hundred seventy-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 448380195674188113 cubic inches would be around 63782.4 feet tall.

Recreational maths with 448380195674188113

• 448380195674188113 backwards is 311881476591083844
• 448380195674188113 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 448380195674188113's digits is 81
• More coming soon!