268791841383168000

Names of 268791841383168000

• Cardinal: 268791841383168000 can be written as Two hundred sixty-eight quadrillion, seven hundred ninety-one trillion, eight hundred forty-one billion, three hundred eighty-three million, one hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 2.68791841383168 × 10¹⁷

Factors of 268791841383168000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 591609

Divisors of 268791841383168000

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1024 1200 1280 1500 1536 1600 1920 2000 2048 2400 2560 3000 3072 3200 3840 4000 4800 5120 6000 6144 6400 7680 8000 9600 10240 12000 12800 15360 16000 19200 24000 25600 30720 32000 38400 48000 51200 64000 76800 96000 128000 153600 192000 256000 384000 591599 768000 1183198 1774797 2366396 2957995 3549594 4732792 5915990 7099188 8873985 9465584 11831980 14198376 14789975 17747970 18931168 23663960 28396752 29579950 35495940 37862336 44369925 47327920 56793504 59159900 70991880 73949875 75724672 88739850 94655840 113587008 118319800 141983760 147899750 151449344 177479700 189311680 221849625 227174016 236639600 283967520 295799500 302898688 354959400 378623360 443699250 454348032 473279200 567935040 591599000 605797376 709918800 757246720 887398500 908696064 946558400 1135870080 1183198000 1211594752 1419837600 1514493440 1774797000 1817392128 1893116800 2271740160 2366396000 2839675200 3028986880 3549594000 3634784256 3786233600 4543480320 4732792000 5679350400 6057973760 7099188000 7572467200 9086960640 9465584000 11358700800 14198376000 15144934400 18173921280 18931168000 22717401600 28396752000 30289868800 37862336000 45434803200 56793504000 75724672000 90869606400 113587008000 151449344000 227174016000 349989376801 454348032000 699978753602 1049968130403 1399957507204 1749946884005 2099936260806 2799915014408 3499893768010 4199872521612 5249840652015 5599830028816 6999787536020 8399745043224 8749734420025 10499681304030 11199660057632 13999575072040 16799490086448 17499468840050 20999362608060 22399320115264 26249203260075 27999150144080 33598980172896 34998937680100 41998725216120 43748672100125 44798640230528 52498406520150 55998300288160 67197960345792 69997875360200 83997450432240 87497344200250 89597280461056 104996813040300 111996600576320 131246016300375 134395920691584 139995750720400 167994900864480 174994688400500 179194560922112 209993626080600 223993201152640 262492032600750 268791841383168 279991501440800 335989801728960 349989376801000 358389121844224 419987252161200 447986402305280 524984065201500 537583682766336 559983002881600 671979603457920 699978753602000 716778243688448 839974504322400 895972804610560 1049968130403000 1075167365532672 1119966005763200 1343959206915840 1399957507204000 1679949008644800 1791945609221120 2099936260806000 2150334731065344 2239932011526400 2687918413831680 2799915014408000 3359898017289600 3583891218442240 4199872521612000 4479864023052800 5375836827663360 5599830028816000 6719796034579200 8399745043224000 8959728046105600 10751673655326720 11199660057632000 13439592069158400 16799490086448000 17919456092211200 22399320115264000 26879184138316800 33598980172896000 44798640230528000 53758368276633600 67197960345792000 89597280461056000 134395920691584000 268791841383168000
• Sum of all divisors σ(n): 894322366455707280
• Sum of proper divisors (its aliquot sum) s(n): 625530525072539280
• 268791841383168000 is an abundant number, because the sum of its proper divisors (625530525072539280) is greater than itself. Its abundance is 356738683689371280

Bases of 268791841383168000

• Binary: 1110111010111100001100000101110000001010101011100000000000₂
• Hexadecimal: 0x3BAF0C1702AB800
• Base-36: 21IMR793UQDC

Squares and roots of 268791841383168000

• 268791841383168000 squared (268791841383168000²) is 72249053994154145411393716224000000
• 268791841383168000 cubed (268791841383168000³) is 19419956261280621503742274948673435842117632000000000
• The square root of 268791841383168000 is 518451387.6759980281
• The cube root of 268791841383168000 is 645364.9289062019

Scales and comparisons

• 268,791,841,383,168,000 seconds is equal to 8,546,749,128 years, 11 weeks, 6 days, 13 hours, 20 minutes.
• To count from 1 to 268,791,841,383,168,000 would take you about twenty-five billion, six hundred forty million, two hundred forty-seven thousand, three 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 268791841383168000 cubic inches would be around 53780.4 feet tall.

Recreational maths with 268791841383168000

• 268791841383168000 backwards is 000861383148197862
• 268791841383168000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 268791841383168000's digits is 75
• More coming soon!