21142509588316800
21,142,509,588,316,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 21142509588316800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2304 divisors.
21142509588316800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 21142509588316800:
27 × 35 × 52 × 313 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 31 × 97 × 97 × 97)See below for interesting mathematical facts about the number 21142509588316800 from the Numbermatics database.
Names of 21142509588316800
- Cardinal: 21142509588316800 can be written as Twenty-one quadrillion, one hundred forty-two trillion, five hundred nine billion, five hundred eighty-eight million, three hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 2.11425095883168 × 1016
Factors of 21142509588316800
Divisors of 21142509588316800
- Number of divisors d(n): 2304
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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 48 50 54 60 62 64 72 75 80 81 90 93 96 97 100 108 120 124 128 135 144 150 155 160 162 180 186 192 194 200 216 225 240 243 248 270 279 288 291 300 310 320 324 360 372 384 388 400 405 432 450 465 480 485 486 496 540 558 576 582 600 620 640 648 675 720 744 775 776 800 810 837 864 873 900 930 960 961 970 972 992 1080 1116 1152 1164 1200 1215 1240 1296 1350 1395 1440 1455 1488 1550 1552 1600 1620 1674 1728 1746 1800 1860 1920 1922 1940 1944 1984 2025 2160 2232 2325 2328 2400 2425 2430 2480 2511 2592 2619 2700 2790 2880 2883 2910 2976 3007 3100 3104 3200 3240 3348 3456 3492 3600 3720 3844 3880 3888 3968 4050 4185 4320 4365 4464 4650 4656 4800 4805 4850 4860 4960 5022 5184 5238 5400 5580 5760 5766 5820 5952 6014 6075 6200 6208 6480 6696 6975 6984 7200 7275 7440 7533 7688 7760 7776 7857 8100 8370 8640 8649 8730 8928 9021 9300 9312 9409 9600 9610 9700 9720 9920 10044 10368 10476 10800 11160 11532 11640 11904 12028 12150 12400 12416 12555 12960 13095 13392 13950 13968 14400 14415 14550 14880 15035 15066 15376 15520 15552 15714 16200 16740 17280 17298 17460 17856 18042 18600 18624 18818 19220 19400 19440 19840 20088 20925 20952 21600 21825 22320 23064 23280 23571 24025 24056 24300 24800 25110 25920 25947 26190 26784 27063 27900 27936 28227 28800 28830 29100 29760 29791 30070 30132 30752 31040 31104 31428 32400 33480 34596 34920 35712 36084 37200 37248 37636 37665 38440 38800 38880 39285 40176 41850 41904 43200 43245 43650 44640 45105 46128 46560 47045 47142 48050 48112 48600 49600 50220 51840 51894 52380 53568 54126 55800 55872 56454 57660 58200 59520 59582 60140 60264 61504 62080 62775 62856 64800 65475 66960 69192 69840 72075 72168 74400 75175 75272 75330 76880 77600 77760 77841 78570 80352 81189 83700 83808 84681 86400 86490 87300 89280 89373 90210 92256 93120 93217 94090 94284 96100 96224 97200 99200 100440 103788 104760 107136 108252 111600 111744 112908 115320 116400 117855 119164 120280 120528 123008 125550 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7104337899300 7265467212480 7333510089600 7341149162610 7577960425920 7830559106784 8072741347200 8156832402900 8419956028800 8525205479160 8700621229760 8718560654976 8809378995132 9081834015600 9093552511104 9472450532400 9788198883480 10440745475712 10656506848950 10875776537200 10898200818720 11000265134400 11011723743915 11366940638880 11745838660176 12109112020800 12235248604350 12629934043200 13050931844640 13214068492698 13622751023400 13640328766656 14208675798600 14530934424960 14682298325220 15155920851840 15661118213568 16313664805800 17050410958320 17401242459520 17618757990264 18163668031200 18352872906525 18944901064800 19576397766960 21313013697900 21751553074400 21796401637440 22000530268800 22023447487830 22733881277760 23491677320352 24218224041600 24470497208700 25259868086400 26101863689280 26428136985396 27245502046800 27280657533312 28417351597200 29364596650440 31322236427136 32627329611600 33035171231745 34100821916640 35237515980528 36327336062400 36705745813050 37889802129600 39152795533920 42626027395800 43503106148800 43592803274880 44046894975660 45467762555520 46983354640704 48940994417400 52203727378560 52856273970792 54491004093600 55058618719575 56834703194400 58729193300880 65254659223200 66070342463490 68201643833280 70475031961056 72654672124800 73411491626100 75779604259200 78305591067840 85252054791600 87006212297600 88093789951320 93966709281408 97881988834800 105712547941584 108982008187200 110117237439150 113669406388800 117458386601760 130509318446400 132140684926980 136403287666560 140950063922112 146822983252200 156611182135680 165175856158725 170504109583200 176187579902640 195763977669600 211425095883168 217964016374400 220234474878300 227338812777600 234916773203520 261018636892800 264281369853960 281900127844224 293645966504400 330351712317450 341008219166400 352375159805280 391527955339200 422850191766336 440468949756600 469833546407040 528562739707920 587291933008800 660703424634900 682016438332800 704750319610560 783055910678400 845700383532672 880937899513200 1057125479415840 1174583866017600 1321406849269800 1409500639221120 1761875799026400 2114250958831680 2349167732035200 2642813698539600 3523751598052800 4228501917663360 5285627397079200 7047503196105600 10571254794158400 21142509588316800
- Sum of all divisors σ(n): 81685318621670400
- Sum of proper divisors (its aliquot sum) s(n): 60542809033353600
- 21142509588316800 is an abundant number, because the sum of its proper divisors (60542809033353600) is greater than itself. Its abundance is 39400299445036800
Bases of 21142509588316800
- Binary: 10010110001110100000000000111011010110000000010100000002
- Hexadecimal: 0x4B1D001DAC0280
- Base-36: 5S6E6THGO00
Squares and roots of 21142509588316800
- 21142509588316800 squared (211425095883168002) is 447005711692067823819057162240000
- 21142509588316800 cubed (211425095883168003) is 9450822545481919078104757916365148866117632000000
-
The
square root of 21142509588316800 is 145404640.8761315983 -
The
cube root of 21142509588316800 is 276515.0955848897
Scales and comparisons
How big is 21142509588316800?- 21,142,509,588,316,800 seconds is equal to 672,266,406 years, 43 weeks, 2 days.
-
To count from 1 to 21,142,509,588,316,800 would take you about two billion, sixteen million, seven hundred ninety-nine thousand, two 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 21142509588316800 cubic inches would be around 23042.9 feet tall.
Recreational maths with 21142509588316800
- 21142509588316800 backwards is 00861388590524112
- The number of decimal digits it has is: 17
- The sum of 21142509588316800's digits is 63
- More coming soon!
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"Number 21142509588316800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 21142509588316800 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/21142509588316800/
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The information we have on file for 21142509588316800 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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