200840386438400820

Names of 200840386438400820

• Cardinal: 200840386438400820 can be written as Two hundred quadrillion, eight hundred forty trillion, three hundred eighty-six billion, four hundred thirty-eight million, four hundred thousand, eight hundred twenty.

Scientific notation

• Scientific notation: 2.0084038643840082 × 10¹⁷

Factors of 200840386438400820

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 9369221

Divisors of 200840386438400820

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 491 510 527 620 930 982 1020 1054 1381 1473 1581 1860 1964 2108 2455 2635 2762 2946 3162 4143 4910 5270 5524 5892 6324 6905 7365 7905 8286 8347 9820 10540 13810 14730 15221 15810 16572 16694 20715 23477 25041 27620 29460 30442 31620 33388 41430 41735 42811 45663 46954 50082 60884 70431 76105 82860 83470 85622 91326 93908 100164 117385 125205 128433 140862 152210 166940 171244 182652 214055 228315 234770 250410 256866 258757 281724 304420 352155 428110 456630 469540 500820 513732 517514 642165 678071 704310 727787 776271 856220 913260 1035028 1284330 1293785 1356142 1408620 1455574 1552542 2034213 2183361 2568660 2587570 2712284 2911148 3105084 3390355 3638935 3881355 4068426 4366722 5175140 6780710 7277870 7762710 8136852 8733444 9367291 10171065 10916805 11527207 13561420 14555740 15525420 18734582 20342130 21020201 21833610 23054414 28101873 34581621 37469164 40684260 42040402 43667220 46108828 46836455 56203746 57636035 63060603 69163242 84080804 93672910 105101005 112407492 115272070 126121206 138326484 140509365 159243947 172908105 187345820 210202010 230544140 252242412 281018730 290386021 315303015 318487894 345816210 357343417 420404020 477731841 562037460 580772042 630606030 636975788 691632420 714686834 796219735 871158063 955463682 1072030251 1161544084 1261212060 1429373668 1451930105 1592439470 1742316126 1786717085 1910927364 2144060502 2388659205 2903860210 3184878940 3484632252 3573434170 4288121004 4355790315 4599339881 4777318410 4936562357 5360151255 5807720420 7146868340 8711580630 9198679762 9554636820 9873124714 10720302510 12936228871 13798019643 14809687071 17423161260 18397359524 19746249428 21440605020 22996699405 24682811785 25872457742 27596039286 29619374142 38808686613 45993398810 49365623570 51744915484 55192078572 59238748284 64681144355 68990098215 74048435355 77617373226 78188777977 91986797620 98731247140 129362288710 137980196430 142579536311 148096870710 155234746452 156377555954 194043433065 219915890807 234566333931 258724577420 275960392860 285159072622 296193741420 312755111908 388086866130 390943889885 401023095001 427738608933 439831781614 469132667862 570318145244 659747672421 712897681555 776173732260 781887779770 802046190002 855477217866 879663563228 938265335724 1099579454035 1172831669655 1203069285003 1319495344842 1425795363110 1563775559540 1604092380004 1710954435732 2005115475005 2138693044665 2199158908070 2345663339310 2406138570006 2423852117287 2638990689684 2851590726220 3298738362105 4010230950010 4277386089330 4398317816140 4691326678620 4812277140012 4847704234574 6015346425015 6351688375661 6597476724210 6817392615017 7271556351861 8020461900020 8554772178660 9695408469148 12030692850030 12119260586435 12703376751322 13194953448420 13634785230034 14543112703722 19055065126983 20452177845051 24061385700060 24238521172870 25406753502644 27269570460068 29086225407444 31758441878305 34086963075085 36357781759305 38110130253966 40904355690102 48477042345740 63516883756610 68173926150170 72715563518610 76220260507932 81808711380204 95275325634915 102260889225255 107978702386237 127033767513220 136347852300340 145431127037220 190550651269830 196902339645491 204521778450510 215957404772474 323936107158711 381101302539660 393804679290982 409043556901020 431914809544948 539893511931185 590707018936473 647872214317422 787609358581964 984511698227455 1079787023862370 1181414037872946 1295744428634844 1619680535793555 1969023396454910 2159574047724740 2362828075745892 2953535094682365 3239361071587110 3347339773973347 3938046792909820 5907070189364730 6478722143174220 6694679547946694 10042019321920041 11814140378729460 13389359095893388 16736698869866735 20084038643840082 33473397739733470 40168077287680164 50210096609600205 66946795479466940 100420193219200410 200840386438400820
• Sum of all divisors σ(n): 616338034903793664
• Sum of proper divisors (its aliquot sum) s(n): 415497648465392844
• 200840386438400820 is an abundant number, because the sum of its proper divisors (415497648465392844) is greater than itself. Its abundance is 214657262026992024

Bases of 200840386438400820

• Binary: 1011001001100001110100010001110010001101101000101100110100₂
• Hexadecimal: 0x2C9874472368B34
• Base-36: 1IXJZ3SSBBJO

Squares and roots of 200840386438400820

• 200840386438400820 squared (200840386438400820²) is 40336860824726176015228318976672400
• 200840386438400820 cubed (200840386438400820³) is 8101270715749996396988229301946437338141141031368000
• The square root of 200840386438400820 is 448152191.1565320239
• The cube root of 200840386438400820 is 585621.5046610823

Scales and comparisons

• 200,840,386,438,400,820 seconds is equal to 6,386,103,048 years, 33 weeks, 17 hours, 7 minutes.
• To count from 1 to 200,840,386,438,400,820 would take you about nineteen billion, one hundred fifty-eight million, three hundred nine thousand, one hundred forty-five 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 200840386438400820 cubic inches would be around 48801.8 feet tall.

Recreational maths with 200840386438400820

• 200840386438400820 backwards is 028004834683048002
• 200840386438400820 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 200840386438400820's digits is 60
• More coming soon!