13820765196225600
13,820,765,196,225,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 13820765196225600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2268 divisors.
13820765196225600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 13820765196225600:
26 × 38 × 52 × 61 × 229 × 3072
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 61 × 229 × 307 × 307)See below for interesting mathematical facts about the number 13820765196225600 from the Numbermatics database.
Names of 13820765196225600
- Cardinal: 13820765196225600 can be written as Thirteen quadrillion, eight hundred twenty trillion, seven hundred sixty-five billion, one hundred ninety-six million, two hundred twenty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.38207651962256 × 1016
Factors of 13820765196225600
Divisors of 13820765196225600
- Number of divisors d(n): 2268
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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 32 36 40 45 48 50 54 60 61 64 72 75 80 81 90 96 100 108 120 122 135 144 150 160 162 180 183 192 200 216 225 229 240 243 244 270 288 300 305 307 320 324 360 366 400 405 432 450 458 480 486 488 540 549 576 600 610 614 648 675 687 720 729 732 800 810 864 900 915 916 921 960 972 976 1080 1098 1145 1200 1215 1220 1228 1296 1350 1374 1440 1458 1464 1525 1535 1600 1620 1647 1728 1800 1830 1832 1842 1944 1952 2025 2061 2160 2187 2196 2290 2400 2430 2440 2456 2592 2700 2745 2748 2763 2880 2916 2928 3050 3070 3240 3294 3435 3600 3645 3660 3664 3684 3888 3904 4050 4122 4320 4374 4392 4575 4580 4605 4800 4860 4880 4912 4941 5184 5400 5490 5496 5526 5725 5832 5856 6075 6100 6140 6183 6480 6561 6588 6870 7200 7290 7320 7328 7368 7675 7776 8100 8235 8244 8289 8640 8748 8784 9150 9160 9210 9720 9760 9824 9882 10305 10800 10935 10980 10992 11052 11450 11664 11712 12150 12200 12280 12366 12960 13122 13176 13725 13740 13815 13969 14400 14580 14640 14656 14736 14823 15350 15552 16200 16470 16488 16578 17175 17496 17568 18225 18300 18320 18420 18549 18727 19440 19520 19648 19764 20610 21600 21870 21960 21984 22104 22900 23025 23328 24300 24400 24560 24705 24732 24867 25920 26244 26352 27450 27480 27630 27938 29160 29280 29472 29646 30700 30915 32400 32805 32940 32976 33156 34350 34992 35136 36450 36600 36640 36840 37098 37454 38880 39528 41175 41220 41445 41907 43200 43740 43920 43968 44208 44469 45800 46050 46656 48600 48800 49120 49410 49464 49734 51525 52488 52704 54675 54900 54960 55260 55647 55876 56181 58320 58560 58944 59292 61400 61830 64800 65610 65880 65952 66312 68700 69075 69845 69984 70303 72900 73200 73280 73680 74115 74196 74601 74908 77760 79056 82350 82440 82890 83814 87480 87840 88416 88938 91600 92100 92745 93635 94249 97200 97600 98240 98820 98928 99468 103050 104976 105408 109350 109800 109920 110520 111294 111752 112362 116640 118584 122800 123525 123660 124335 125721 129600 131220 131760 131904 132624 133407 137400 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1676463512400 1678295712960 1706267308176 1777361779350 1800751165632 1875782464200 1886021451450 1888082677080 1895852564640 1919550721698 2011756214880 2097869641200 2106502849600 2132834135220 2235284683200 2250938957040 2265699212496 2275023077568 2360103346350 2369815705800 2414107457856 2501043285600 2514695268600 2517443569440 2559400962264 2666042669025 2797159521600 2813673696300 2832124015620 2843778846960 2879326082547 3001251942720 3017634322320 3020932283328 3146804461800 3159754274400 3199251202830 3352927024800 3412534616352 3540155019525 3554723558700 3751564928400 3772042902900 3776165354160 3791705129280 3839101443396 4023512429760 4195739282400 4265668270440 4501877914080 4531398424992 4720206692700 4739631411600 4798876804245 5002086571200 5029390537200 5034887138880 5118801924528 5332085338050 5627347392600 5664248031240 5687557693920 5758652165094 6035268644640 6293608923600 6319508548800 6398502405660 6705854049600 6825069232704 7080310039050 7109447117400 7503129856800 7544085805800 7552330708320 7678202886792 7998128007075 8391478564800 8531336540880 8637978247641 9003755828160 9062796849984 9440413385400 9479262823200 9597753608490 10058781074400 10237603849056 10664170676100 11254694785200 11328496062480 11375115387840 11517304330188 12070537289280 12587217847200 12797004811320 14160620078100 14218894234800 14396630412735 15006259713600 15088171611600 15104661416640 15356405773584 15996256014150 17062673081760 17275956495282 18880826770800 18958525646400 19195507216980 20117562148800 20475207698112 21328341352200 22509389570400 22656992124960 23034608660376 23994384021225 25174435694400 25594009622640 28321240156200 28437788469600 28793260825470 30176343223200 30712811547168 31992512028300 34125346163520 34551912990564 37761653541600 38391014433960 42656682704400 43189891238205 45018779140800 45313984249920 46069217320752 47988768042450 51188019245280 56642480312400 56875576939200 57586521650940 60352686446400 61425623094336 63985024056600 69103825981128 71983152063675 75523307083200 76782028867920 85313365408800 86379782476410 92138434641504 95977536084900 102376038490560 113284960624800 115173043301880 127970048113200 138207651962256 143966304127350 153564057735840 170626730817600 172759564952820 184276869283008 191955072169800 215949456191025 226569921249600 230346086603760 255940096226400 276415303924512 287932608254700 307128115471680 345519129905640 383910144339600 431898912382050 460692173207520 511880192452800 552830607849024 575865216509400 691038259811280 767820288679200 863797824764100 921384346415040 1151730433018800 1382076519622560 1535640577358400 1727595649528200 2303460866037600 2764153039245120 3455191299056400 4606921732075200 6910382598112800 13820765196225600
- Sum of all divisors σ(n): 52241766900587940
- Sum of proper divisors (its aliquot sum) s(n): 38421001704362340
- 13820765196225600 is an abundant number, because the sum of its proper divisors (38421001704362340) is greater than itself. Its abundance is 24600236508136740
Bases of 13820765196225600
- Binary: 1100010001100111101001101010000000101110001100010000002
- Hexadecimal: 0x3119E9A80B8C40
- Base-36: 3S31VVO9000
Squares and roots of 13820765196225600
- 13820765196225600 squared (138207651962256002) is 191013550609200847672486095360000
- 13820765196225600 cubed (138207651962256003) is 2639953432267120329903029144780337953673216000000
-
The
square root of 13820765196225600 is 117561750.5663538509 -
The
cube root of 13820765196225600 is 239981.2786104111
Scales and comparisons
How big is 13820765196225600?- 13,820,765,196,225,600 seconds is equal to 439,457,582 years, 41 weeks, 6 days, 12 hours.
-
To count from 1 to 13,820,765,196,225,600 would take you about one billion, three hundred eighteen million, three hundred seventy-two thousand, seven hundred forty-eight 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 13820765196225600 cubic inches would be around 19998.4 feet tall.
Recreational maths with 13820765196225600
- 13820765196225600 backwards is 00652269156702831
- The number of decimal digits it has is: 17
- The sum of 13820765196225600's digits is 63
- More coming soon!
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"Number 13820765196225600 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 13820765196225600 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13820765196225600/
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The information we have on file for 13820765196225600 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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