13202157993984000
13,202,157,993,984,000 is an even composite number composed of five prime numbers multiplied together.
13202157993984000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13202157993984000:
223 × 38 × 53 × 19 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 101)See below for interesting mathematical facts about the number 13202157993984000 from the Numbermatics database.
Names of 13202157993984000
- Cardinal: 13202157993984000 can be written as Thirteen quadrillion, two hundred two trillion, one hundred fifty-seven billion, nine hundred ninety-three million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3202157993984 × 1016
Factors of 13202157993984000
Divisors of 13202157993984000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 90 95 96 100 101 108 114 120 125 128 135 144 150 152 160 162 171 180 190 192 200 202 216 225 228 240 243 250 256 270 285 288 300 303 304 320 324 342 360 375 380 384 400 404 405 432 450 456 475 480 486 500 505 512 513 540 570 576 600 606 608 640 648 675 684 720 729 750 760 768 800 808 810 855 864 900 909 912 950 960 972 1000 1010 1024 1026 1080 1125 1140 1152 1200 1212 1215 1216 1280 1296 1350 1368 1425 1440 1458 1500 1515 1520 1536 1539 1600 1616 1620 1710 1728 1800 1818 1824 1900 1919 1920 1944 2000 2020 2025 2048 2052 2160 2187 2250 2280 2304 2375 2400 2424 2430 2432 2525 2560 2565 2592 2700 2727 2736 2850 2880 2916 3000 3030 3040 3072 3078 3200 3232 3240 3375 3420 3456 3600 3636 3645 3648 3800 3838 3840 3888 4000 4040 4050 4096 4104 4275 4320 4374 4500 4545 4560 4608 4617 4750 4800 4848 4860 4864 5050 5120 5130 5184 5400 5454 5472 5700 5757 5760 5832 6000 6060 6075 6080 6144 6156 6400 6464 6480 6561 6750 6840 6912 7125 7200 7272 7290 7296 7575 7600 7676 7680 7695 7776 8000 8080 8100 8181 8192 8208 8550 8640 8748 9000 9090 9120 9216 9234 9500 9595 9600 9696 9720 9728 10100 10125 10240 10260 10368 10800 10908 10935 10944 11400 11514 11520 11664 12000 12120 12150 12160 12288 12312 12625 12800 12825 12928 12960 13122 13500 13635 13680 13824 13851 14250 14400 14544 14580 14592 15150 15200 15352 15360 15390 15552 16000 16160 16200 16362 16384 16416 17100 17271 17280 17496 18000 18180 18225 18240 18432 18468 19000 19190 19200 19392 19440 19456 20200 20250 20480 20520 20736 21375 21600 21816 21870 21888 22725 22800 23028 23040 23085 23328 24000 24240 24300 24320 24543 24576 24624 25250 25600 25650 25856 25920 26244 27000 27270 27360 27648 27702 28500 28785 28800 29088 29160 29184 30300 30375 30400 30704 30720 30780 31104 32000 32320 32400 32724 32768 32805 32832 34200 34542 34560 34992 36000 36360 36450 36480 36864 36936 37875 38000 38380 38400 38475 38784 38880 38912 40400 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43428151296000 43571478528000 44007193313280 45840826368000 46323361382400 48896881459200 51570929664000 52808631975936 54329868288000 55008991641600 57904201728000 58676257751040 61121101824000 65357217792000 66010789969920 68761239552000 69485042073600 73345322188800 77205602304000 81494802432000 82513487462400 86856302592000 88014386626560 91681652736000 97793762918400 103141859328000 105617263951872 110017983283200 115808403456000 122242203648000 130714435584000 132021579939840 137522479104000 138970084147200 146690644377600 162989604864000 165026974924800 173712605184000 176028773253120 183363305472000 206283718656000 220035966566400 231616806912000 244484407296000 264043159879680 275044958208000 293381288755200 330053949849600 347425210368000 366726610944000 412567437312000 440071933132800 488968814592000 528086319759360 550089916416000 660107899699200 694850420736000 733453221888000 825134874624000 880143866265600 1100179832832000 1320215799398400 1466906443776000 1650269749248000 2200359665664000 2640431598796800 3300539498496000 4400719331328000 6601078996992000 13202157993984000
- Sum of all divisors σ(n): 52542879252645600
- Sum of proper divisors (its aliquot sum) s(n): 39340721258661600
- 13202157993984000 is an abundant number, because the sum of its proper divisors (39340721258661600) is greater than itself. Its abundance is 26138563264677600
Bases of 13202157993984000
- Binary: 1011101110011101001010111100011000000000000000000000002
- Hexadecimal: 0x2EE74AF1800000
- Base-36: 3LZRVNK0000
Squares and roots of 13202157993984000
- 13202157993984000 squared (132021579939840002) is 174296975698115634980192256000000
- 13202157993984000 cubed (132021579939840003) is 2301096211040112309478961374047611387904000000000
-
The
square root of 13202157993984000 is 114900644.0103100553 -
The
cube root of 13202157993984000 is 236346.0283189043
Scales and comparisons
How big is 13202157993984000?- 13,202,157,993,984,000 seconds is equal to 419,787,787 years, 13 weeks, 1 day.
-
To count from 1 to 13,202,157,993,984,000 would take you about one billion, two hundred fifty-nine million, three hundred sixty-three thousand, three hundred sixty-one 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 13202157993984000 cubic inches would be around 19695.5 feet tall.
Recreational maths with 13202157993984000
- 13202157993984000 backwards is 00048939975120231
- The number of decimal digits it has is: 17
- The sum of 13202157993984000's digits is 63
- More coming soon!
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"Number 13202157993984000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
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Numbermatics. (2024). Number 13202157993984000 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/13202157993984000/
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The information we have on file for 13202157993984000 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 13202157993984000, math, Factors of 13202157993984000, curriculum, school, college, exams, university, Prime factorization of 13202157993984000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, two hundred two trillion, one hundred fifty-seven billion, nine hundred ninety-three million, nine hundred eighty-four thousand.