13824001144800000

Names of 13824001144800000

• Cardinal: 13824001144800000 can be written as Thirteen quadrillion, eight hundred twenty-four trillion, one billion, one hundred forty-four million, eight hundred thousand.

Scientific notation

• Scientific notation: 1.38240011448 × 10¹⁶

Factors of 13824001144800000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 59

Divisors of 13824001144800000

• Number of divisors d(n): 6480
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 31 32 33 35 36 40 42 44 45 48 50 54 55 56 60 62 63 64 66 70 72 75 77 80 81 84 88 90 93 96 99 100 105 108 110 112 120 124 125 126 128 132 135 140 144 150 154 155 160 162 165 168 175 176 180 186 189 192 198 200 210 216 217 220 224 225 231 240 243 248 250 252 256 264 270 275 279 280 288 297 300 308 310 315 320 324 330 336 341 350 352 360 372 375 378 384 385 396 400 405 420 432 434 440 448 450 462 465 480 486 495 496 500 504 525 528 540 550 558 560 567 576 594 600 616 620 625 630 640 648 651 660 672 675 682 693 700 704 720 744 750 756 768 770 775 792 800 810 825 837 840 864 868 875 880 891 896 900 924 930 945 960 961 972 990 992 1000 1008 1023 1050 1056 1080 1085 1100 1116 1120 1125 1134 1152 1155 1188 1200 1215 1232 1240 1250 1260 1280 1296 1302 1320 1344 1350 1364 1375 1386 1395 1400 1408 1440 1485 1488 1500 1512 1540 1550 1575 1584 1600 1620 1650 1674 1680 1701 1705 1728 1736 1750 1760 1782 1792 1800 1848 1860 1875 1890 1920 1922 1925 1944 1953 1980 1984 2000 2016 2025 2046 2079 2100 2112 2160 2170 2200 2232 2240 2250 2268 2304 2310 2325 2376 2387 2400 2430 2464 2475 2480 2500 2511 2520 2592 2604 2625 2640 2673 2688 2700 2728 2750 2772 2790 2800 2816 2835 2880 2883 2970 2976 3000 3024 3069 3080 3100 3125 3150 3168 3200 3240 3255 3300 3348 3360 3375 3402 3410 3456 3465 3472 3500 3520 3564 3600 3696 3720 3750 3780 3840 3844 3850 3875 3888 3906 3960 3968 4000 4032 4050 4092 4125 4158 4185 4200 4224 4320 4340 4375 4400 4455 4464 4480 4500 4536 4620 4650 4725 4752 4774 4800 4805 4860 4928 4950 4960 5000 5022 5040 5115 5184 5208 5250 5280 5346 5376 5400 5425 5456 5500 5544 5580 5600 5625 5670 5760 5766 5775 5859 5940 5952 6000 6048 6075 6138 6160 6200 6237 6250 6300 6336 6400 6480 6510 6600 6696 6720 6727 6750 6804 6820 6875 6912 6930 6944 6975 7000 7040 7128 7161 7200 7392 7425 7440 7500 7533 7560 7688 7700 7750 7776 7812 7875 7920 7936 8000 8064 8100 8184 8250 8316 8370 8400 8448 8505 8525 8640 8649 8680 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1974857306400000 2304000190800000 2764800228960000 3456000286200000 4608000381600000 6912000572400000 13824001144800000
• Sum of all divisors σ(n): 66559945098366720
• Sum of proper divisors (its aliquot sum) s(n): 52735943953566720
• 13824001144800000 is an abundant number, because the sum of its proper divisors (52735943953566720) is greater than itself. Its abundance is 38911942808766720

Bases of 13824001144800000

• Binary: 110001000111001101101100010101100111000100001100000000₂
• Hexadecimal: 0x311CDB159C4300
• Base-36: 3S476GCHC00

Squares and roots of 13824001144800000

• 13824001144800000 squared (13824001144800000²) is 191103007651431710567040000000000
• 13824001144800000 cubed (13824001144800000³) is 2641808196548115126237783217147392000000000000000
• The square root of 13824001144800000 is 117575512.5219533117
• The cube root of 13824001144800000 is 240000.0066249999

Scales and comparisons

• 13,824,001,144,800,000 seconds is equal to 439,560,475 years, 50 weeks.
• To count from 1 to 13,824,001,144,800,000 would take you about one billion, three hundred eighteen million, six hundred eighty-one thousand, four hundred twenty-seven 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 13824001144800000 cubic inches would be around 20000 feet tall.

Recreational maths with 13824001144800000

• 13824001144800000 backwards is 00000844110042831
• 13824001144800000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13824001144800000's digits is 36
• More coming soon!