48142189369344000
48,142,189,369,344,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 48142189369344000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3840 divisors.
48142189369344000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 48142189369344000:
214 × 3 × 53 × 7 × 31 × 53 × 137 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 31 × 53 × 137 × 4973)See below for interesting mathematical facts about the number 48142189369344000 from the Numbermatics database.
Names of 48142189369344000
- Cardinal: 48142189369344000 can be written as Forty-eight quadrillion, one hundred forty-two trillion, one hundred eighty-nine billion, three hundred sixty-nine million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.8142189369344 × 1016
Factors of 48142189369344000
Divisors of 48142189369344000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 50 53 56 60 62 64 70 75 80 84 93 96 100 105 106 112 120 124 125 128 137 140 150 155 159 160 168 175 186 192 200 210 212 217 224 240 248 250 256 265 274 280 300 310 318 320 336 350 371 372 375 384 400 411 420 424 434 448 465 480 496 500 512 525 530 548 560 600 620 636 640 651 672 685 700 742 744 750 768 775 795 800 822 840 848 868 875 896 930 959 960 992 1000 1024 1050 1060 1085 1096 1113 1120 1200 1240 1272 1280 1302 1325 1344 1370 1400 1484 1488 1500 1536 1550 1590 1600 1643 1644 1680 1696 1736 1750 1792 1855 1860 1918 1920 1984 2000 2048 2055 2100 2120 2170 2192 2226 2240 2325 2400 2480 2544 2560 2604 2625 2650 2688 2740 2800 2877 2968 2976 3000 3072 3100 3180 3200 3255 3286 3288 3360 3392 3425 3472 3500 3584 3710 3720 3836 3840 3875 3968 3975 4000 4096 4110 4200 4240 4247 4340 4384 4452 4480 4650 4795 4800 4929 4960 4973 5088 5120 5208 5250 5300 5376 5425 5480 5565 5600 5754 5936 5952 6000 6144 6200 6360 6400 6510 6572 6576 6625 6720 6784 6850 6944 7000 7168 7261 7420 7440 7672 7680 7750 7936 7950 8000 8192 8215 8220 8400 8480 8494 8680 8768 8904 8960 9275 9300 9590 9600 9858 9920 9946 10176 10240 10275 10416 10500 10600 10752 10850 10960 11130 11200 11501 11508 11625 11872 11904 12000 12288 12400 12720 12741 12800 13020 13144 13152 13250 13440 13568 13700 13888 14000 14336 14385 14522 14840 14880 14919 15344 15360 15500 15872 15900 16000 16275 16384 16430 16440 16800 16960 16988 17125 17360 17536 17808 17920 18550 18600 19180 19200 19716 19840 19875 19892 20352 20480 20550 20832 21000 21200 21235 21504 21700 21783 21920 22260 22400 23002 23016 23250 23744 23808 23975 24000 24576 24645 24800 24865 25440 25482 25600 26040 26288 26304 26500 26880 27125 27136 27400 27776 27825 28000 28672 28770 29044 29680 29729 29760 29838 30688 30720 31000 31744 31800 32000 32550 32860 32880 33600 33920 33976 34250 34503 34720 34811 35072 35616 35840 36305 37100 37200 38360 38400 39432 39680 39750 39784 40704 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275098224967680 286560651008000 300888683558400 302781065216000 310594770124800 320947929128960 343872781209600 351402842112000 376110854448000 385137514954752 388243462656000 401184911411200 429840976512000 454171597824000 458497041612800 481421893693440 501481139264000 517657950208000 573121302016000 601777367116800 641895858257920 687745562419200 752221708896000 776486925312000 802369822822400 859681953024000 908343195648000 962843787386880 1002962278528000 1146242604032000 1203554734233600 1375491124838400 1504443417792000 1552973850624000 1604739645644800 1719363906048000 1925687574773760 2005924557056000 2292485208064000 2407109468467200 3008886835584000 3209479291289600 3438727812096000 4011849114112000 4814218936934400 6017773671168000 6877455624192000 8023698228224000 9628437873868800 12035547342336000 16047396456448000 24071094684672000 48142189369344000
- Sum of all divisors σ(n): 194017034979016704
- Sum of proper divisors (its aliquot sum) s(n): 145874845609672704
- 48142189369344000 is an abundant number, because the sum of its proper divisors (145874845609672704) is greater than itself. Its abundance is 97732656240328704
Bases of 48142189369344000
- Binary: 101010110000100100010000111100000001000111000000000000002
- Hexadecimal: 0xAB0910F011C000
- Base-36: D60ZCH80GLC
Squares and roots of 48142189369344000
- 48142189369344000 squared (481421893693440002) is 2317670397273778444446990336000000
- 48142189369344000 cubed (481421893693440003) is 111577727161276981827379435022714702659584000000000
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The
square root of 48142189369344000 is 219413284.3957812869 -
The
cube root of 48142189369344000 is 363782.6192937713
Scales and comparisons
How big is 48142189369344000?- 48,142,189,369,344,000 seconds is equal to 1,530,772,708 years, 19 weeks, 3 days, 21 hours, 20 minutes.
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To count from 1 to 48,142,189,369,344,000 would take you about four billion, five hundred ninety-two million, three hundred eighteen thousand, one hundred twenty-five 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 48142189369344000 cubic inches would be around 30315.2 feet tall.
Recreational maths with 48142189369344000
- 48142189369344000 backwards is 00044396398124184
- The number of decimal digits it has is: 17
- The sum of 48142189369344000's digits is 66
- More coming soon!
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The information we have on file for 48142189369344000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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