48145971456000
48,145,971,456,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48145971456000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
48145971456000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 48145971456000:
211 × 33 × 53 × 11 × 17 × 1932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 17 × 193 × 193)See below for interesting mathematical facts about the number 48145971456000 from the Numbermatics database.
Names of 48145971456000
- Cardinal: 48145971456000 can be written as Forty-eight trillion, one hundred forty-five billion, nine hundred seventy-one million, four hundred fifty-six thousand.
Scientific notation
- Scientific notation: 4.8145971456 × 1013
Factors of 48145971456000
Divisors of 48145971456000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 32 33 34 36 40 44 45 48 50 51 54 55 60 64 66 68 72 75 80 85 88 90 96 99 100 102 108 110 120 125 128 132 135 136 144 150 153 160 165 170 176 180 187 192 193 198 200 204 216 220 225 240 250 255 256 264 270 272 275 288 297 300 306 320 330 340 352 360 374 375 384 386 396 400 408 425 432 440 450 459 480 495 500 510 512 528 540 544 550 561 576 579 594 600 612 640 660 675 680 704 720 748 750 765 768 772 792 800 816 825 850 864 880 900 918 935 960 965 990 1000 1020 1024 1056 1080 1088 1100 1122 1125 1152 1158 1188 1200 1224 1275 1280 1320 1350 1360 1375 1408 1440 1485 1496 1500 1530 1536 1544 1584 1600 1632 1650 1683 1700 1728 1737 1760 1800 1836 1870 1920 1930 1980 2000 2040 2048 2112 2123 2125 2160 2176 2200 2244 2250 2295 2304 2316 2376 2400 2448 2475 2550 2560 2640 2700 2720 2750 2805 2816 2880 2895 2970 2992 3000 3060 3072 3088 3168 3200 3264 3281 3300 3366 3375 3400 3456 3474 3520 3600 3672 3740 3825 3840 3860 3960 4000 4080 4125 4224 4246 4250 4320 4352 4400 4488 4500 4590 4608 4632 4675 4752 4800 4825 4896 4950 5049 5100 5120 5211 5280 5400 5440 5500 5610 5632 5760 5790 5940 5984 6000 6120 6144 6176 6336 6369 6375 6400 6528 6562 6600 6732 6750 6800 6912 6948 7040 7200 7344 7425 7480 7650 7680 7720 7920 8000 8160 8250 8415 8448 8492 8500 8640 8685 8704 8800 8976 9000 9180 9216 9264 9350 9504 9600 9650 9792 9843 9900 10098 10200 10240 10422 10560 10615 10800 10880 11000 11220 11264 11475 11520 11580 11880 11968 12000 12240 12352 12375 12672 12738 12750 12800 13056 13124 13200 13464 13500 13600 13824 13896 14025 14080 14400 14475 14688 14850 14960 15300 15360 15440 15840 16000 16320 16405 16500 16830 16896 16984 17000 17280 17370 17408 17600 17952 18000 18360 18432 18528 18700 19008 19107 19125 19200 19300 19584 19686 19800 20196 20400 20844 21120 21230 21600 21760 22000 22440 22528 22950 23040 23160 23375 23760 23936 24000 24125 24480 24704 24750 25245 25344 25476 25500 25600 26055 26112 26248 26400 26928 27000 27200 27648 27792 28050 28160 28800 28950 29376 29529 29700 29920 30600 30720 30880 31680 31845 32000 32640 32810 33000 33660 33792 33968 34000 34560 34740 34816 35200 35904 36000 36091 36720 37056 37125 37249 37400 38016 38214 38250 38400 38600 39168 39372 39600 40392 40800 41688 42075 42240 42460 43200 43425 43520 44000 44880 45900 46080 46320 46750 47520 47872 48000 48250 48960 49215 49408 49500 50490 50688 50952 51000 51200 52110 52224 52496 52800 53075 53856 54000 54400 55296 55584 56100 56320 57321 57375 57600 57900 58752 59058 59400 59840 61200 61760 63360 63690 64000 65280 65620 66000 67320 67584 67936 68000 69120 69480 70125 70400 71808 72000 72182 72375 73440 74112 74250 74498 74800 76032 76428 76500 76800 77200 78336 78744 79200 80784 81600 82025 83376 84150 84480 84920 86400 86850 87040 88000 88587 89760 91800 92160 92640 93500 95040 95535 95744 96000 96500 97920 98430 98816 99000 100980 101376 101904 102000 104220 104448 104992 105600 106150 107712 108000 108273 108800 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124730496000 125380134000 128389257216 128732544000 133738809600 136778328000 141605798400 145896883200 150456160800 157339776000 160486571520 162107648000 167173512000 175076259840 177007248000 178318412800 182371104000 188070201000 188807731200 192583885824 200608214400 213982095360 218845324800 222898016000 236009664000 240729857280 243161472000 249460992000 250760268000 257465088000 267477619200 273556656000 283211596800 291793766400 300912321600 314679552000 320973143040 334347024000 354014496000 356636825600 364742208000 376140402000 385167771648 401216428800 437690649600 445796032000 472019328000 481459714560 486322944000 501520536000 534955238400 547113312000 566423193600 601824643200 641946286080 668694048000 708028992000 729484416000 752280804000 802432857600 875381299200 891592064000 944038656000 962919429120 1003041072000 1069910476800 1094226624000 1203649286400 1337388096000 1416057984000 1458968832000 1504561608000 1604865715200 1783184128000 1925838858240 2006082144000 2188453248000 2407298572800 2674776192000 2832115968000 3009123216000 3209731430400 4012164288000 4376906496000 4814597145600 5349552384000 6018246432000 8024328576000 9629194291200 12036492864000 16048657152000 24072985728000 48145971456000
- Sum of all divisors σ(n): 206663073926400
- Sum of proper divisors (its aliquot sum) s(n): 158517102470400
- 48145971456000 is an abundant number, because the sum of its proper divisors (158517102470400) is greater than itself. Its abundance is 110371131014400
Bases of 48145971456000
- Binary: 10101111001001110110111000011010101000000000002
- Hexadecimal: 0x2BC9DB86A800
- Base-36: H2DYCB9C0
Squares and roots of 48145971456000
- 48145971456000 squared (481459714560002) is 2318034567441966759936000000
- 48145971456000 cubed (481459714560003) is 111604026118082238560379460386816000000000
-
The
square root of 48145971456000 is 6938729.8157515833 -
The
cube root of 48145971456000 is 36379.2145389837
Scales and comparisons
How big is 48145971456000?- 48,145,971,456,000 seconds is equal to 1,530,892 years, 50 weeks, 2 days.
-
To count from 1 to 48,145,971,456,000 would take you about three million, eight hundred twenty-seven thousand, two hundred thirty-two 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 48145971456000 cubic inches would be around 3031.6 feet tall.
Recreational maths with 48145971456000
- 48145971456000 backwards is 00065417954184
- 48145971456000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48145971456000's digits is 54
- More coming soon!
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The information we have on file for 48145971456000 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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