13878685884672000
13,878,685,884,672,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13878685884672000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
13878685884672000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 13878685884672000:
211 × 33 × 53 × 7 × 53 × 1061 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 53 × 1061 × 5101)See below for interesting mathematical facts about the number 13878685884672000 from the Numbermatics database.
Names of 13878685884672000
- Cardinal: 13878685884672000 can be written as Thirteen quadrillion, eight hundred seventy-eight trillion, six hundred eighty-five billion, eight hundred eighty-four million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.3878685884672 × 1016
Factors of 13878685884672000
Divisors of 13878685884672000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 53 54 56 60 63 64 70 72 75 80 84 90 96 100 105 106 108 112 120 125 126 128 135 140 144 150 159 160 168 175 180 189 192 200 210 212 216 224 225 240 250 252 256 265 270 280 288 300 315 318 320 336 350 360 371 375 378 384 400 420 424 432 448 450 477 480 500 504 512 525 530 540 560 576 600 630 636 640 672 675 700 720 742 750 756 768 795 800 840 848 864 875 896 900 945 954 960 1000 1008 1024 1050 1060 1061 1080 1113 1120 1125 1152 1200 1260 1272 1280 1325 1344 1350 1400 1431 1440 1484 1500 1512 1536 1575 1590 1600 1680 1696 1728 1750 1792 1800 1855 1890 1908 1920 2000 2016 2048 2100 2120 2122 2160 2226 2240 2250 2304 2385 2400 2520 2544 2560 2625 2650 2688 2700 2800 2862 2880 2968 3000 3024 3072 3150 3180 3183 3200 3339 3360 3375 3392 3456 3500 3584 3600 3710 3780 3816 3840 3975 4000 4032 4200 4240 4244 4320 4452 4480 4500 4608 4725 4770 4800 5040 5088 5101 5120 5250 5300 5305 5376 5400 5565 5600 5724 5760 5936 6000 6048 6144 6300 6360 6366 6400 6625 6678 6720 6750 6784 6912 7000 7155 7168 7200 7420 7427 7560 7632 7680 7875 7950 8000 8064 8400 8480 8488 8640 8904 8960 9000 9216 9275 9450 9540 9549 9600 10017 10080 10176 10202 10240 10500 10600 10610 10752 10800 11130 11200 11448 11520 11872 11925 12000 12096 12600 12720 12732 12800 13250 13356 13440 13500 13568 13824 14000 14310 14336 14400 14840 14854 15120 15264 15303 15360 15750 15900 15915 16000 16128 16695 16800 16960 16976 17280 17808 17920 18000 18432 18550 18900 19080 19098 19200 19875 20034 20160 20352 20404 21000 21200 21220 21504 21600 22260 22281 22400 22896 23040 23625 23744 23850 24000 24192 25200 25440 25464 25505 25600 26500 26525 26712 26880 27000 27136 27648 27825 28000 28620 28647 28800 29680 29708 30240 30528 30606 30720 31500 31800 31830 32000 32256 33390 33600 33920 33952 34560 35616 35707 35775 35840 36000 37100 37135 37800 38160 38196 38400 39750 40068 40320 40704 40808 42000 42400 42440 43008 43200 44520 44562 44800 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30841524188160 30979209564000 32126587696000 32732749728000 33044490201600 34696714711680 36142411158000 36716100224000 37009829025792 37408856832000 38551905235200 39653388241920 41305612752000 43370893389600 43643666304000 44059320268800 46262286282240 48189881544000 49566735302400 51402540313600 52372399564800 54213616737000 55074150336000 55514743538688 57827857852800 61683048376320 61958419128000 64253175392000 65465499456000 66088980403200 69393429423360 72284822316000 73432200448000 77103810470400 79306776483840 82611225504000 86741786779200 87287332608000 92524572564480 96379763088000 99133470604800 102805080627200 108427233474000 110148300672000 111029487077376 115655715705600 123916838256000 128506350784000 130930998912000 132177960806400 138786858846720 144569644632000 154207620940800 165222451008000 173483573558400 185049145128960 192759526176000 198266941209600 216854466948000 220296601344000 231311431411200 247833676512000 257012701568000 261861997824000 277573717693440 289139289264000 308415241881600 330444902016000 346967147116800 385519052352000 396533882419200 433708933896000 462622862822400 495667353024000 514025403136000 555147435386880 578278578528000 660889804032000 693934294233600 771038104704000 867417867792000 925245725644800 991334706048000 1156557157056000 1387868588467200 1542076209408000 1734835735584000 1982669412096000 2313114314112000 2775737176934400 3469671471168000 4626228628224000 6939342942336000 13878685884672000
- Sum of all divisors σ(n): 59811846987110400
- Sum of proper divisors (its aliquot sum) s(n): 45933161102438400
- 13878685884672000 is an abundant number, because the sum of its proper divisors (45933161102438400) is greater than itself. Its abundance is 32054475217766400
Bases of 13878685884672000
- Binary: 1100010100111010010111010111100001101011101000000000002
- Hexadecimal: 0x314E975E1AE800
- Base-36: 3SNL09YOLC0
Squares and roots of 13878685884672000
- 13878685884672000 squared (138786858846720002) is 192617921885393815284547584000000
- 13878685884672000 cubed (138786858846720003) is 2673283633605669053477538641258320232448000000000
-
The
square root of 13878685884672000 is 117807834.5640560529 -
The
cube root of 13878685884672000 is 240316.0528514475
Scales and comparisons
How big is 13878685884672000?- 13,878,685,884,672,000 seconds is equal to 441,299,281 years, 28 weeks.
-
To count from 1 to 13,878,685,884,672,000 would take you about one billion, three hundred twenty-three million, eight hundred ninety-seven thousand, eight hundred forty-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 13878685884672000 cubic inches would be around 20026.3 feet tall.
Recreational maths with 13878685884672000
- 13878685884672000 backwards is 00027648858687831
- The number of decimal digits it has is: 17
- The sum of 13878685884672000's digits is 81
- More coming soon!
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"Number 13878685884672000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 13878685884672000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/13878685884672000/
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Numbermatics. 2024. "Number 13878685884672000 - Facts about the integer". https://numbermatics.com/n/13878685884672000/
The information we have on file for 13878685884672000 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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