6801534973008000
6,801,534,973,008,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 6801534973008000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3840 divisors.
6801534973008000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 6801534973008000:
27 × 314 × 53 × 31 × 47 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 47 × 61)See below for interesting mathematical facts about the number 6801534973008000 from the Numbermatics database.
Names of 6801534973008000
- Cardinal: 6801534973008000 can be written as Six quadrillion, eight hundred one trillion, five hundred thirty-four billion, nine hundred seventy-three million, eight thousand.
Scientific notation
- Scientific notation: 6.801534973008 × 1015
Factors of 6801534973008000
Divisors of 6801534973008000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 47 48 50 54 60 61 62 64 72 75 80 81 90 93 94 96 100 108 120 122 124 125 128 135 141 144 150 155 160 162 180 183 186 188 192 200 216 225 235 240 243 244 248 250 270 279 282 288 300 305 310 320 324 360 366 372 375 376 384 400 405 423 432 450 465 470 480 486 488 496 500 540 549 558 564 576 600 610 620 640 648 675 705 720 729 732 744 750 752 775 800 810 837 846 864 900 915 930 940 960 972 976 992 1000 1080 1098 1116 1125 1128 1152 1175 1200 1215 1220 1240 1269 1296 1350 1395 1410 1440 1457 1458 1464 1488 1500 1504 1525 1550 1600 1620 1647 1674 1692 1728 1800 1830 1860 1880 1891 1920 1944 1952 1984 2000 2025 2115 2160 2187 2196 2232 2250 2256 2325 2350 2400 2430 2440 2480 2511 2538 2592 2700 2745 2790 2820 2867 2880 2914 2916 2928 2976 3000 3008 3050 3100 3200 3240 3294 3348 3375 3384 3456 3525 3600 3645 3660 3720 3760 3782 3807 3875 3888 3904 3968 4000 4050 4185 4230 4320 4371 4374 4392 4464 4500 4512 4575 4650 4700 4800 4860 4880 4941 4960 5022 5076 5184 5400 5490 5580 5640 5673 5734 5760 5828 5832 5856 5875 5952 6000 6016 6075 6100 6200 6345 6480 6561 6588 6696 6750 6768 6975 7050 7200 7285 7290 7320 7440 7520 7533 7564 7614 7625 7750 7776 7808 8000 8100 8235 8370 8460 8601 8640 8742 8748 8784 8928 9000 9024 9150 9300 9400 9455 9600 9720 9760 9882 9920 10044 10125 10152 10368 10575 10800 10935 10980 11160 11280 11346 11421 11468 11625 11656 11664 11712 11750 11904 12000 12150 12200 12400 12555 12690 12960 13113 13122 13176 13392 13500 13536 13725 13950 14100 14335 14400 14570 14580 14640 14823 14880 15040 15066 15128 15228 15250 15500 15552 16000 16200 16470 16740 16920 17019 17202 17280 17484 17496 17568 17625 17856 18000 18048 18225 18300 18600 18800 18910 19035 19440 19520 19683 19764 19840 20088 20250 20304 20925 21150 21600 21855 21870 21960 22320 22560 22599 22692 22842 22875 22936 23250 23312 23328 23424 23500 24000 24300 24400 24705 24800 25110 25380 25803 25920 26226 26244 26352 26784 27000 27072 27450 27900 28200 28365 28670 28800 29140 29160 29280 29646 29760 30080 30132 30256 30375 30456 30500 31000 31104 31725 32400 32805 32940 33480 33840 34038 34263 34404 34875 34968 34992 35136 35250 35712 36000 36425 36450 36600 37200 37600 37665 37820 38070 38880 39040 39339 39366 39528 40176 40500 40608 41175 41850 42300 43005 43200 43710 43740 43920 44469 44640 45120 45198 45384 45684 45750 45872 46500 46624 46656 47000 47275 48000 48600 48800 49410 49600 50220 50760 51057 51606 51840 52452 52488 52704 52875 53568 54000 54144 54675 54900 55800 56400 56730 57105 57340 58280 58320 58560 59049 59292 59520 60264 60512 60750 60912 61000 62000 62775 63450 64800 65565 65610 65880 66960 67680 67797 68076 68526 68625 68808 69750 69936 69984 70272 70500 71675 72000 72850 72900 73200 74115 74400 75200 75330 75640 76140 77409 77760 78678 78732 79056 80352 81000 81216 82350 83700 84600 85095 86010 86400 87420 87480 87840 88877 88938 89280 90240 90396 90768 91125 91368 91500 91744 93000 93248 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18583428888000 18893152702800 20992391892000 21254796790650 21940435396800 22300114665600 22671783243360 23616440878500 24118918344000 24378261552000 25190870270400 27206139892032 27425544246000 27875143332000 27989855856000 28339729054200 28942702012800 30229044324480 31488587838000 34007674865040 35424661317750 36178377516000 36567392328000 37166857776000 37786305405600 41984783784000 42509593581300 43880870793600 45343566486720 47232881757000 48237836688000 50381740540800 53136991976625 54412279784064 54851088492000 55750286664000 56679458108400 62977175676000 68015349730080 70849322635500 72356755032000 73134784656000 75572610811200 83969567568000 85019187162600 90687132973440 94465763514000 106273983953250 109702176984000 111500573328000 113358916216800 125954351352000 136030699460160 141698645271000 144713510064000 151145221622400 170038374325200 188931527028000 212547967906500 219404353968000 226717832433600 251908702704000 272061398920320 283397290542000 340076748650400 377863054056000 425095935813000 453435664867200 566794581084000 680153497300800 755726108112000 850191871626000 1133589162168000 1360306994601600 1700383743252000 2267178324336000 3400767486504000 6801534973008000
- Sum of all divisors σ(n): 27179188072058880
- Sum of proper divisors (its aliquot sum) s(n): 20377653099050880
- 6801534973008000 is an abundant number, because the sum of its proper divisors (20377653099050880) is greater than itself. Its abundance is 13576118126042880
Bases of 6801534973008000
- Binary: 110000010100111110101110000111111111001011000100000002
- Hexadecimal: 0x1829F5C3FE5880
- Base-36: 1UYXY14I000
Squares and roots of 6801534973008000
- 6801534973008000 squared (68015349730080002) is 46260877989050935288568064000000
- 6801534973008000 cubed (68015349730080003) is 314644979524585934467467941869210816512000000000
-
The
square root of 6801534973008000 is 82471419.1281318985 -
The
cube root of 6801534973008000 is 189467.9015723029
Scales and comparisons
How big is 6801534973008000?- 6,801,534,973,008,000 seconds is equal to 216,267,773 years, 31 weeks, 6 days.
-
To count from 1 to 6,801,534,973,008,000 would take you about six hundred forty-eight million, eight hundred three thousand, three hundred twenty 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 6801534973008000 cubic inches would be around 15789 feet tall.
Recreational maths with 6801534973008000
- 6801534973008000 backwards is 0008003794351086
- 6801534973008000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 6801534973008000's digits is 54
- More coming soon!
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"Number 6801534973008000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 6801534973008000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/6801534973008000/
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The information we have on file for 6801534973008000 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!
Keywords: Divisors of 6801534973008000, math, Factors of 6801534973008000, curriculum, school, college, exams, university, Prime factorization of 6801534973008000, STEM, science, technology, engineering, physics, economics, calculator, six quadrillion, eight hundred one trillion, five hundred thirty-four billion, nine hundred seventy-three million, eight thousand.