640738009246720000

Names of 640738009246720000

• Cardinal: 640738009246720000 can be written as Six hundred forty quadrillion, seven hundred thirty-eight trillion, nine billion, two hundred forty-six million, seven hundred twenty thousand.

Scientific notation

• Scientific notation: 6.4073800924672 × 10¹⁷

Factors of 640738009246720000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 77068

Divisors of 640738009246720000

• Number of divisors d(n): 3360
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 32 34 35 40 44 50 55 56 64 68 70 77 80 85 88 100 110 112 113 119 121 125 128 136 140 154 160 170 175 176 187 200 220 224 226 238 242 250 256 272 275 280 308 320 340 350 352 374 385 400 425 440 448 452 476 484 500 512 544 550 560 565 595 605 616 625 640 680 700 704 748 770 791 800 847 850 875 880 896 904 935 952 968 1000 1024 1088 1100 1120 1130 1190 1210 1232 1243 1250 1280 1309 1360 1375 1400 1408 1496 1540 1582 1600 1694 1700 1750 1760 1792 1808 1870 1904 1921 1925 1936 2000 2048 2057 2125 2176 2200 2240 2260 2380 2420 2464 2486 2500 2560 2618 2720 2750 2800 2816 2825 2975 2992 3025 3080 3164 3200 3388 3400 3500 3520 3584 3616 3740 3808 3842 3850 3872 3955 4000 4096 4114 4235 4250 4352 4375 4400 4480 4520 4675 4760 4840 4928 4972 5000 5120 5236 5440 5500 5600 5632 5650 5950 5984 6050 6160 6215 6328 6400 6545 6776 6800 6875 7000 7040 7168 7232 7480 7616 7684 7700 7744 7910 8000 8192 8228 8470 8500 8701 8704 8750 8800 8960 9040 9350 9520 9605 9625 9680 9856 9944 10000 10240 10285 10472 10625 10880 11000 11200 11264 11300 11900 11968 12100 12320 12430 12656 12800 13090 13447 13552 13600 13673 13750 14000 14080 14125 14336 14399 14464 14875 14960 15125 15232 15368 15400 15488 15820 16000 16456 16940 17000 17402 17408 17500 17600 17920 18080 18700 19040 19210 19250 19360 19712 19775 19888 20000 20480 20570 20944 21131 21175 21250 21760 22000 22400 22528 22600 23375 23800 23936 24200 24640 24860 25312 25600 26180 26894 27104 27200 27346 27500 28000 28160 28250 28672 28798 28928 29750 29920 30250 30464 30736 30800 30976 31075 31640 32000 32725 32912 33880 34000 34804 34816 35000 35200 35840 36160 37400 38080 38420 38500 38720 39424 39550 39776 40000 40960 41140 41888 42262 42350 42500 43505 43520 44000 44800 45056 45200 46750 47600 47872 48025 48125 48400 49280 49720 50624 51200 51425 52360 53788 54208 54400 54692 55000 56000 56320 56500 57344 57596 57856 59500 59840 60500 60928 61472 61600 61952 62150 63280 64000 65450 65824 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128147601849344000 160184502311680000 320369004623360000 640738009246720000
• Sum of all divisors σ(n): 2148665682092884416
• Sum of proper divisors (its aliquot sum) s(n): 1507927672846164416
• 640738009246720000 is an abundant number, because the sum of its proper divisors (1507927672846164416) is greater than itself. Its abundance is 867189663599444416

Bases of 640738009246720000

• Binary: 100011100100010110111101001100011011001111011110000000000000₂
• Hexadecimal: 0x8E45BD31B3DE000
• Base-36: 4V8YO1VWCEF4

Squares and roots of 640738009246720000

• 640738009246720000 squared (640738009246720000²) is 410545196493449844221830758400000000
• 640738009246720000 cubed (640738009246720000³) is 263051911907016545606919940038586110312448000000000000
• The square root of 640738009246720000 is 800461122.8827543751
• The cube root of 640738009246720000 is 862104.9972529237

Scales and comparisons

• 640,738,009,246,720,000 seconds is equal to 20,373,486,761 years, 13 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 640,738,009,246,720,000 would take you about sixty-one billion, one hundred twenty million, four hundred sixty thousand, two hundred eighty-three 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 640738009246720000 cubic inches would be around 71842.1 feet tall.

Recreational maths with 640738009246720000

• 640738009246720000 backwards is 000027642900837046
• The number of decimal digits it has is: 18
• The sum of 640738009246720000's digits is 58
• More coming soon!