13428409115320320
13,428,409,115,320,320 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13428409115320320 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
13428409115320320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 13428409115320320:
213 × 3 × 5 × 112 × 113 × 137 × 227 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 113 × 137 × 227 × 257)See below for interesting mathematical facts about the number 13428409115320320 from the Numbermatics database.
Names of 13428409115320320
- Cardinal: 13428409115320320 can be written as Thirteen quadrillion, four hundred twenty-eight trillion, four hundred nine billion, one hundred fifteen million, three hundred twenty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.342840911532032 × 1016
Factors of 13428409115320320
Divisors of 13428409115320320
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 113 120 121 128 132 137 160 165 176 192 220 226 227 240 242 256 257 264 274 320 330 339 352 363 384 411 440 452 454 480 484 512 514 528 548 565 605 640 660 678 681 685 704 726 768 771 822 880 904 908 960 968 1024 1028 1056 1096 1130 1135 1210 1243 1280 1285 1320 1356 1362 1370 1408 1452 1507 1536 1542 1644 1695 1760 1808 1815 1816 1920 1936 2048 2055 2056 2112 2192 2260 2270 2420 2486 2497 2560 2570 2640 2712 2724 2740 2816 2827 2904 3014 3072 3084 3288 3390 3405 3520 3616 3630 3632 3729 3840 3855 3872 4096 4110 4112 4224 4384 4520 4521 4540 4840 4972 4994 5120 5140 5280 5424 5448 5480 5632 5654 5808 6028 6144 6168 6215 6576 6780 6810 7040 7232 7260 7264 7458 7491 7535 7680 7710 7744 8192 8220 8224 8448 8481 8768 9040 9042 9080 9680 9944 9988 10240 10280 10560 10848 10896 10960 11264 11308 11616 12056 12288 12336 12430 12485 13152 13560 13620 13673 14080 14135 14464 14520 14528 14916 14982 15070 15360 15420 15481 15488 16440 16448 16577 16896 16962 17536 18080 18084 18160 18645 19360 19888 19976 20480 20560 21120 21696 21792 21920 22528 22605 22616 23232 24112 24576 24672 24860 24970 25651 26304 27120 27240 27346 27467 28160 28270 28928 29040 29041 29056 29832 29964 30140 30720 30840 30962 30976 31097 31099 32880 32896 33154 33792 33924 35072 35209 36160 36168 36320 37290 37455 38720 39776 39952 40960 41019 41120 42240 42405 43392 43584 43840 45056 45210 45232 46443 46464 48224 49344 49720 49731 49940 51302 52608 54240 54480 54692 54934 56320 56540 57856 58080 58082 58112 58339 59664 59928 60280 61440 61680 61924 61952 62194 62198 65760 65792 66308 67584 67848 68365 70144 70418 72320 72336 72640 74580 74910 76953 77405 77440 79552 79904 82038 82240 82401 82885 84480 84810 86784 87123 87168 87680 90112 90420 90464 92886 92928 93291 93297 96448 98688 99440 99462 99880 102604 105216 105627 108480 108960 109384 109868 112640 113080 115712 116160 116164 116224 116678 119328 119856 120560 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79167604736 79476853192 81006268416 81482076160 81641592384 81842616320 84028391040 84400198080 86359105536 86364659712 86702021664 86741225472 87250718720 89630283776 90026877952 92431230144 92478971904 92819682560 92840217888 95347845120 95720297640 97778491392 98211139584 98959505920 99346066490 101257835520 102051990480 102101650816 104700862464 107948881920 107955824640 108377527080 108426531840 108855456512 109280673139 111383619072 112037854720 112533597440 115089469440 115539037680 115598714880 115602695552 116050272360 118751407104 119215279788 122223114240 122763924480 123241640192 123786957184 127130460160 127627063520 130876078080 134445425664 135010447360 135040316928 136069320640 139229523840 143931842560 143941099520 144503369440 144568709120 148439258880 148511492096 149019099735 153152476224 154052050240 154131619840 154733696480 158335209472 158953706384 162012536832 162964152320 163283184768 163685232640 168056782080 168800396160 173404043328 173482450944 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5915598729216 5941773944832 6126099048960 6358148255360 6531327390720 6534505652224 6556840388340 6936161733120 6993963080896 7394498411520 7398572515328 7427217431040 7629777906432 7922365259776 8168132065280 8708436520960 8742453851120 8910689525760 9248215644160 9537222383040 9801758478336 9859331215360 9902956574720 10173037208576 10450123825152 10490944621344 10803225354240 11097858772992 11831197458432 11883547889664 12252198097920 12716296510720 13062654781440 13113680776680 13872323466240 13987926161792 14788996823040 14854434862080 15259555812864 16336264130560 17416873041920 17484907702240 18496431288320 19074444766080 19603516956672 19718662430720 19805913149440 20346074417152 20981889242688 22195717545984 23767095779328 24504396195840 25432593021440 26125309562880 26227361553360 27744646932480 27975852323584 29577993646080 29708869724160 30519111625728 32672528261120 34969815404480 36992862576640 38148889532160 39611826298880 40692148834304 41963778485376 49008792391680 50865186042880 52250619125760 52454723106720 55489293864960 55951704647168 59155987292160 59417739448320 61038223251456 69939630808960 76297779064320 81384297668608 83927556970752 98017584783360 101730372085760 104909446213440 110978587729920 111903409294336 118835478896640 122076446502912 139879261617920 152595558128640 167855113941504 203460744171520 209818892426880 223806818588672 244152893005824 279758523235840 305191116257280 335710227883008 406921488343040 419637784853760 447613637177344 559517046471680 610382232514560 671420455766016 839275569707520 895227274354688 1119034092943360 1220764465029120 1342840911532032 1678551139415040 2238068185886720 2685681823064064 3357102278830080 4476136371773440 6714204557660160 13428409115320320
- Sum of all divisors σ(n): 48394365996066048
- Sum of proper divisors (its aliquot sum) s(n): 34965956880745728
- 13428409115320320 is an abundant number, because the sum of its proper divisors (34965956880745728) is greater than itself. Its abundance is 21537547765425408
Bases of 13428409115320320
- Binary: 1011111011010100010001001000110011011110100000000000002
- Hexadecimal: 0x2FB5112337A000
- Base-36: 3O7Z1ZG0GLC
Squares and roots of 13428409115320320
- 13428409115320320 squared (134284091153203202) is 180322171368417859240536204902400
- 13428409115320320 cubed (134284091153203203) is 2421439889698015202087134960070824402530336768000
-
The
square root of 13428409115320320 is 115881012.7472154949 -
The
cube root of 13428409115320320 is 237688.5099271013
Scales and comparisons
How big is 13428409115320320?- 13,428,409,115,320,320 seconds is equal to 426,981,873 years, 3 weeks, 4 days, 16 hours, 32 minutes.
-
To count from 1 to 13,428,409,115,320,320 would take you about one billion, two hundred eighty million, nine hundred forty-five thousand, six hundred nineteen 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 13428409115320320 cubic inches would be around 19807.4 feet tall.
Recreational maths with 13428409115320320
- 13428409115320320 backwards is 02302351190482431
- 13428409115320320 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13428409115320320's digits is 48
- More coming soon!
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Cite this page
MLA style:
"Number 13428409115320320 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 13428409115320320 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/13428409115320320/
Chicago style:
Numbermatics. 2024. "Number 13428409115320320 - Facts about the integer". https://numbermatics.com/n/13428409115320320/
The information we have on file for 13428409115320320 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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