48384004006800
48,384,004,006,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 48384004006800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2700 divisors.
48384004006800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 48384004006800:
24 × 35 × 52 × 72 × 11 × 314
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 48384004006800 from the Numbermatics database.
Names of 48384004006800
- Cardinal: 48384004006800 can be written as Forty-eight trillion, three hundred eighty-four billion, four million, six thousand, eight hundred.
Scientific notation
- Scientific notation: 4.83840040068 × 1013
Factors of 48384004006800
Divisors of 48384004006800
- Number of divisors d(n): 2700
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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 33 35 36 40 42 44 45 48 49 50 54 55 56 60 62 63 66 70 72 75 77 80 81 84 88 90 93 98 99 100 105 108 110 112 120 124 126 132 135 140 144 147 150 154 155 162 165 168 175 176 180 186 189 196 198 200 210 216 217 220 225 231 240 243 245 248 252 264 270 275 279 280 294 297 300 308 310 315 324 330 336 341 350 360 372 378 385 392 396 400 405 420 432 434 440 441 450 462 465 486 490 495 496 504 525 528 539 540 550 558 560 567 588 594 600 616 620 630 648 651 660 675 682 693 700 720 735 744 756 770 775 784 792 810 825 837 840 868 880 882 891 900 924 930 945 961 972 980 990 1008 1023 1050 1078 1080 1085 1100 1116 1134 1155 1176 1188 1200 1215 1225 1232 1240 1260 1296 1302 1320 1323 1350 1364 1386 1395 1400 1470 1485 1488 1512 1519 1540 1550 1575 1584 1617 1620 1650 1674 1680 1701 1705 1736 1764 1782 1800 1848 1860 1890 1922 1925 1944 1953 1960 1980 2025 2046 2079 2100 2156 2160 2170 2200 2205 2232 2268 2310 2325 2352 2376 2387 2430 2450 2475 2480 2511 2520 2604 2640 2646 2673 2695 2700 2728 2772 2790 2800 2835 2883 2940 2970 3024 3038 3069 3080 3100 3150 3234 3240 3255 3300 3348 3402 3410 3465 3472 3528 3564 3600 3675 3696 3720 3780 3844 3850 3888 3906 3920 3960 3969 4050 4092 4158 4185 4200 4312 4340 4400 4410 4455 4464 4536 4557 4620 4650 4725 4752 4774 4805 4851 4860 4900 4950 5022 5040 5115 5208 5292 5346 5390 5400 5425 5456 5544 5580 5670 5766 5775 5859 5880 5940 6075 6076 6138 6160 6200 6237 6300 6468 6480 6510 6600 6615 6696 6727 6804 6820 6930 6975 7056 7128 7161 7350 7425 7440 7533 7560 7595 7688 7700 7812 7920 7938 8085 8100 8184 8316 8370 8400 8505 8525 8624 8649 8680 8820 8910 9072 9114 9207 9240 9300 9450 9548 9610 9702 9720 9765 9800 9900 10044 10230 10395 10416 10571 10584 10692 10780 10800 10850 11025 11088 11160 11340 11532 11550 11718 11760 11880 11907 11935 12150 12152 12276 12400 12474 12555 12600 12936 13020 13200 13230 13365 13392 13454 13475 13608 13640 13671 13860 13950 14175 14256 14322 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34683873840 34909093800 35472143700 35840002968 36571431600 36654548490 37161293400 37333336425 38400003180 39019358070 39272730525 39497146128 39822225520 40320003339 40727276100 41142860550 41890912560 42666670200 43354842300 43985458188 44593552080 44800003710 44883120600 46080003816 47296191600 48000003975 48872731320 49371432660 49777781900 50347558800 51200004240 52025810760 52363640700 53760004452 54303034800 54857147400 54981822735 55741940100 57600004770 57806456400 58647277584 59733338280 61090914150 61714290825 62430972912 62836368840 64000005300 65032263450 65828576880 67200005565 69120005724 69818187600 70944287400 71680005936 73309096980 74322586800 74666672850 76800006360 78038716140 78545461050 80640006678 81454552200 82285721100 85333340400 86400007155 86709684600 87970916376 89600007420 89766241200 91636371225 92160007632 96000007950 97548395175 97745462640 98742865320 99555563800 104051621520 104727281400 107520008904 109714294800 109963645470 111483880200 112000009275 115200009540 119466676560 120960010017 122181828300 123428581650 125672737680 128000010600 130064526900 134400011130 138240011448 141888574800 144000011925 146618193960 149333345700 153600012720 156077432280 157090922100 161280013356 162909104400 164571442200 172800014310 173419369200 175941832752 179200014840 183272742450 192000015900 195096790350 197485730640 199111127600 201600016695 209454562800 215040017808 219927290940 222967760400 224000018550 230400019080 241920020034 244363656600 246857163300 256000021200 260129053800 268800022260 274909113675 276480022896 288000023850 293236387920 298666691400 312154864560 314181844200 322560026712 329142884400 336000027825 345600028620 358400029680 366545484900 384000031800 390193580700 403200033390 432000035775 439854581880 448000037100 460800038160 483840040068 488727313200 493714326600 520258107600 537600044520 549818227350 576000047700 597333382800 604800050085 628363688400 645120053424 672000055650 691200057240 733090969800 768000063600 780387161400 806400066780 864000071550 879709163760 896000074200 967680080136 987428653200 1008000083475 1075200089040 1099636454700 1152000095400 1209600100170 1344000111300 1382400114480 1466181939600 1560774322800 1612800133560 1728000143100 1792000148400 1935360160272 2016000166950 2199272909400 2304000190800 2419200200340 2688000222600 3024000250425 3225600267120 3456000286200 4032000333900 4398545818800 4838400400680 5376000445200 6048000500850 6912000572400 8064000667800 9676800801360 12096001001700 16128001335600 24192002003400 48384004006800
- Sum of all divisors σ(n): 228332679054480
- Sum of proper divisors (its aliquot sum) s(n): 179948675047680
- 48384004006800 is an abundant number, because the sum of its proper divisors (179948675047680) is greater than itself. Its abundance is 131564671040880
Bases of 48384004006800
- Binary: 10110000000001010001110101111100100011100100002
- Hexadecimal: 0x2C01475F2390
- Base-36: H5FAYQX00
Squares and roots of 48384004006800
- 48384004006800 squared (483840040068002) is 2341011843730038454446240000
- 48384004006800 cubed (483840040068003) is 113267526427000436037444955435194432000000
-
The
square root of 48384004006800 is 6955861.1261870373 -
The
cube root of 48384004006800 is 36439.0686683781
Scales and comparisons
How big is 48384004006800?- 48,384,004,006,800 seconds is equal to 1,538,461 years, 34 weeks, 4 days, 9 hours.
-
To count from 1 to 48,384,004,006,800 would take you about three million, eight hundred forty-six thousand, one hundred fifty-four 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 48384004006800 cubic inches would be around 3036.6 feet tall.
Recreational maths with 48384004006800
- 48384004006800 backwards is 00860040048384
- 48384004006800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48384004006800's digits is 45
- More coming soon!
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Cite this page
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"Number 48384004006800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 48384004006800 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/48384004006800/
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The information we have on file for 48384004006800 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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