213240833261824000

Names of 213240833261824000

• Cardinal: 213240833261824000 can be written as Two hundred thirteen quadrillion, two hundred forty trillion, eight hundred thirty-three billion, two hundred sixty-one million, eight hundred twenty-four thousand.

Scientific notation

• Scientific notation: 2.13240833261824 × 10¹⁷

Factors of 213240833261824000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 104

Divisors of 213240833261824000

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 125 128 160 194 200 250 256 320 388 400 485 500 512 640 776 800 970 1000 1024 1280 1552 1600 1940 2000 2048 2425 2560 3104 3200 3880 4000 4850 5120 6208 6400 7760 8000 9409 9700 10240 12125 12416 12800 15520 16000 18818 19400 24250 24832 25600 31040 32000 37636 38800 47045 48500 49664 51200 62080 64000 75272 77600 94090 97000 99328 124160 128000 150544 155200 188180 194000 198656 235225 248320 256000 301088 310400 376360 388000 470450 496640 602176 620800 752720 776000 912673 940900 993280 1176125 1204352 1241600 1505440 1552000 1825346 1881800 2352250 2408704 2483200 3010880 3104000 3650692 3763600 4563365 4704500 4817408 4966400 6021760 6208000 7301384 7527200 9126730 9409000 9634816 12043520 12416000 14602768 15054400 18253460 18818000 19269632 22816825 24087040 24832000 29205536 30108800 36506920 37636000 45633650 48174080 58411072 60217600 73013840 75272000 88529281 91267300 96348160 114084125 116822144 120435200 146027680 150544000 177058562 182534600 228168250 233644288 240870400 292055360 301088000 354117124 365069200 442646405 456336500 467288576 481740800 584110720 602176000 708234248 730138400 885292810 912673000 934577152 1168221440 1204352000 1416468496 1460276800 1770585620 1825346000 1869154304 2213232025 2336442880 2408704000 2832936992 2920553600 3541171240 3650692000 4426464050 4672885760 5665873984 5841107200 7082342480 7301384000 8587340257 8852928100 9345771520 11066160125 11331747968 11682214400 14164684960 14602768000 17174680514 17705856200 22132320250 22663495936 23364428800 28329369920 29205536000 34349361028 35411712400 42936701285 44264640500 45326991872 46728857600 56658739840 58411072000 68698722056 70823424800 85873402570 88529281000 90653983744 113317479680 116822144000 137397444112 141646849600 171746805140 177058562000 181307967488 214683506425 226634959360 233644288000 274794888224 283293699200 343493610280 354117124000 429367012850 453269918720 549589776448 566587398400 686987220560 708234248000 832972004929 858734025700 906539837440 1073417532125 1099179552896 1133174796800 1373974441120 1416468496000 1665944009858 1717468051400 2146835064250 2198359105792 2266349593600 2747948882240 2832936992000 3331888019716 3434936102800 4164860024645 4293670128500 4396718211584 4532699187200 5495897764480 5665873984000 6663776039432 6869872205600 8329720049290 8587340257000 8793436423168 10991795528960 11331747968000 13327552078864 13739744411200 16659440098580 17174680514000 17586872846336 20824300123225 21983591057920 22663495936000 26655104157728 27479488822400 33318880197160 34349361028000 41648600246450 43967182115840 53310208315456 54958977644800 66637760394320 68698722056000 83297200492900 87934364231680 104121500616125 106620416630912 109917955289600 133275520788640 137397444112000 166594400985800 208243001232250 213240833261824 219835910579200 266551041577280 274794888224000 333188801971600 416486002464500 426481666523648 439671821158400 533102083154560 549589776448000 666377603943200 832972004929000 852963333047296 1066204166309120 1099179552896000 1332755207886400 1665944009858000 1705926666094592 2132408332618240 2198359105792000 2665510415772800 3331888019716000 4264816665236480 5331020831545600 6663776039432000 8529633330472960 10662041663091200 13327552078864000 21324083326182400 26655104157728000 42648166652364800 53310208315456000 106620416630912000 213240833261824000
• Sum of all divisors σ(n): 537662084274036540
• Sum of proper divisors (its aliquot sum) s(n): 324421251012212540
• 213240833261824000 is an abundant number, because the sum of its proper divisors (324421251012212540) is greater than itself. Its abundance is 111180417750388540

Bases of 213240833261824000

• Binary: 1011110101100101010110100001110110001011011110100000000000₂
• Hexadecimal: 0x2F59568762DE800
• Base-36: 1MBNKEFCXJB4

Squares and roots of 213240833261824000

• 213240833261824000 squared (213240833261824000²) is 45471652970197024787335806976000000
• 213240833261824000 cubed (213240833261824000³) is 9696413169157307807042001148208861333684224000000000
• The square root of 213240833261824000 is 461780070.2302168433
• The cube root of 213240833261824000 is 597434.2599187515
• Being both a perfect square and a perfect cube, 213240833261824000 is also a perfect sixth number.

Scales and comparisons

• 213,240,833,261,824,000 seconds is equal to 6,780,398,900 years, 27 weeks, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 213,240,833,261,824,000 would take you about twenty billion, three hundred forty-one million, one hundred ninety-six thousand, seven hundred one 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 213240833261824000 cubic inches would be around 49786.2 feet tall.

Recreational maths with 213240833261824000

• 213240833261824000 backwards is 000428162338042312
• The number of decimal digits it has is: 18
• The sum of 213240833261824000's digits is 49
• More coming soon!