3828144384000

Names of 3828144384000

• Cardinal: 3828144384000 can be written as Three trillion, eight hundred twenty-eight billion, one hundred forty-four million, three hundred eighty-four thousand.

Scientific notation

• Scientific notation: 3.828144384 × 10¹²

Factors of 3828144384000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1299

Divisors of 3828144384000

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 192 200 225 240 250 256 288 300 320 360 375 384 400 450 480 500 512 576 600 640 720 750 768 800 900 960 1000 1024 1125 1152 1200 1280 1289 1440 1500 1536 1600 1800 1920 2000 2048 2250 2304 2400 2560 2578 2880 3000 3072 3200 3600 3840 3867 4000 4500 4608 4800 5120 5156 5760 6000 6144 6400 6445 7200 7680 7734 8000 9000 9216 9600 10240 10312 11520 11601 12000 12800 12890 14400 15360 15468 16000 18000 18432 19200 19335 20624 23040 23202 24000 25600 25780 28800 30720 30936 32000 32225 36000 38400 38670 41248 46080 46404 48000 51200 51560 57600 58005 61872 64000 64450 72000 76800 77340 82496 92160 92808 96000 96675 103120 115200 116010 123744 128000 128900 144000 153600 154680 161125 164992 185616 192000 193350 206240 230400 232020 247488 256000 257800 288000 290025 309360 322250 329984 371232 384000 386700 412480 460800 464040 483375 494976 515600 576000 580050 618720 644500 659968 742464 768000 773400 824960 928080 966750 989952 1031200 1152000 1160100 1237440 1289000 1319936 1450125 1484928 1546800 1649920 1661521 1856160 1933500 1979904 2062400 2304000 2320200 2474880 2578000 2639872 2900250 2969856 3093600 3299840 3323042 3712320 3867000 3959808 4124800 4640400 4949760 4984563 5156000 5800500 5939712 6187200 6599680 6646084 7424640 7734000 7919616 8249600 8307605 9280800 9899520 9969126 10312000 11601000 11879424 12374400 13199360 13292168 14849280 14953689 15468000 16499200 16615210 18561600 19799040 19938252 20624000 23202000 23758848 24748800 24922815 26584336 29698560 29907378 30936000 32998400 33230420 37123200 39598080 39876504 41248000 41538025 46404000 49497600 49845630 53168672 59397120 59814756 61872000 65996800 66460840 74246400 74768445 79753008 82496000 83076050 92808000 98995200 99691260 106337344 118794240 119629512 123744000 124614075 132921680 148492800 149536890 159506016 164992000 166152100 185616000 197990400 199382520 207690125 212674688 239259024 247488000 249228150 265843360 296985600 299073780 319012032 329984000 332304200 371232000 373842225 398765040 415380250 425349376 478518048 494976000 498456300 531686720 593971200 598147560 623070375 638024064 664608400 742464000 747684450 797530080 830760500 850698752 957036096 989952000 996912600 1063373440 1196295120 1246140750 1276048128 1329216800 1484928000 1495368900 1595060160 1661521000 1701397504 1869211125 1914072192 1993825200 2126746880 2392590240 2492281500 2552096256 2658433600 2969856000 2990737800 3190120320 3323042000 3402795008 3738422250 3828144384 3987650400 4253493760 4785180480 4984563000 5104192512 5316867200 5981475600 6380240640 6646084000 7476844500 7656288768 7975300800 8506987520 9570360960 9969126000 10208385024 10633734400 11962951200 12760481280 13292168000 14953689000 15312577536 15950601600 17013975040 19140721920 19938252000 21267468800 23925902400 25520962560 26584336000 29907378000 30625155072 31901203200 38281443840 39876504000 42534937600 47851804800 51041925120 53168672000 59814756000 63802406400 76562887680 79753008000 85069875200 95703609600 106337344000 119629512000 127604812800 153125775360 159506016000 191407219200 212674688000 239259024000 255209625600 319012032000 382814438400 425349376000 478518048000 638024064000 765628876800 957036096000 1276048128000 1914072192000 3828144384000
• Sum of all divisors σ(n): 13809079999260
• Sum of proper divisors (its aliquot sum) s(n): 9980935615260
• 3828144384000 is an abundant number, because the sum of its proper divisors (9980935615260) is greater than itself. Its abundance is 6152791231260

Bases of 3828144384000

• Binary: 110111101101001111001011111010100000000000₂
• Hexadecimal: 0x37B4F2FA800
• Base-36: 1CUMIBR40

Squares and roots of 3828144384000

• 3828144384000 squared (3828144384000²) is 14654689424750739456000000
• 3828144384000 cubed (3828144384000³) is 56100267020623733848333615104000000000
• The square root of 3828144384000 is 1956564.4338993797
• The cube root of 3828144384000 is 15643.3382678423

Scales and comparisons

• 3,828,144,384,000 seconds is equal to 121,723 years, 7 weeks, 5 days, 16 hours.
• To count from 1 to 3,828,144,384,000 would take you about three hundred four thousand, three hundred 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 3828144384000 cubic inches would be around 1303.6 feet tall.

Recreational maths with 3828144384000

• 3828144384000 backwards is 0004834418283
• 3828144384000 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3828144384000's digits is 45
• More coming soon!