13680905038848000
13,680,905,038,848,000 is an even composite number composed of six prime numbers multiplied together.
13680905038848000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 13680905038848000:
213 × 35 × 53 × 113 × 193 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 113 × 193 × 2521)See below for interesting mathematical facts about the number 13680905038848000 from the Numbermatics database.
Names of 13680905038848000
- Cardinal: 13680905038848000 can be written as Thirteen quadrillion, six hundred eighty trillion, nine hundred five billion, thirty-eight million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3680905038848 × 1016
Factors of 13680905038848000
Divisors of 13680905038848000
- Number of divisors d(n): 2688
-
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 64 72 75 80 81 90 96 100 108 113 120 125 128 135 144 150 160 162 180 192 193 200 216 225 226 240 243 250 256 270 288 300 320 324 339 360 375 384 386 400 405 432 450 452 480 486 500 512 540 565 576 579 600 640 648 675 678 720 750 768 772 800 810 864 900 904 960 965 972 1000 1017 1024 1080 1125 1130 1152 1158 1200 1215 1280 1296 1350 1356 1440 1500 1536 1544 1600 1620 1695 1728 1737 1800 1808 1920 1930 1944 2000 2025 2034 2048 2160 2250 2260 2304 2316 2400 2430 2521 2560 2592 2700 2712 2825 2880 2895 3000 3051 3072 3088 3200 3240 3375 3390 3456 3474 3600 3616 3840 3860 3888 4000 4050 4068 4096 4320 4500 4520 4608 4632 4800 4825 4860 5042 5085 5120 5184 5211 5400 5424 5650 5760 5790 6000 6075 6102 6144 6176 6400 6480 6750 6780 6912 6948 7200 7232 7563 7680 7720 7776 8000 8100 8136 8192 8475 8640 8685 9000 9040 9153 9216 9264 9600 9650 9720 10084 10125 10170 10240 10368 10422 10800 10848 11300 11520 11580 12000 12150 12204 12288 12352 12605 12800 12960 13500 13560 13824 13896 14125 14400 14464 14475 15126 15255 15360 15440 15552 15633 16000 16200 16272 16950 17280 17370 18000 18080 18306 18432 18528 19200 19300 19440 20168 20250 20340 20480 20736 20844 21600 21696 21809 22600 22689 23040 23160 24000 24125 24300 24408 24576 24704 25210 25425 25600 25920 26055 27000 27120 27459 27648 27792 28250 28800 28928 28950 30252 30375 30510 30720 30880 31104 31266 32000 32400 32544 33900 34560 34740 36000 36160 36612 36864 37056 37815 38400 38600 38880 40336 40500 40680 40960 41472 41688 42375 43200 43392 43425 43618 45200 45378 45765 46080 46320 46899 48000 48250 48600 48816 49408 50420 50850 51200 51840 52110 54000 54240 54918 55296 55584 56500 57600 57856 57900 60504 60750 61020 61440 61760 62208 62532 63025 64000 64800 65088 65427 67800 68067 69120 69480 72000 72320 72375 73224 73728 74112 75630 76275 76800 77200 77760 78165 80672 81000 81360 82944 83376 84750 86400 86784 86850 87236 90400 90756 91530 92160 92640 93798 96000 96500 97200 97632 98816 100840 101700 102400 103680 104220 108000 108480 109045 109836 110592 111168 113000 113445 115200 115712 115800 121008 121500 122040 122880 123520 124416 125064 126050 127125 128000 129600 130176 130275 130854 135600 136134 137295 138240 138960 144000 144640 144750 146448 148224 151260 152550 153600 154400 155520 156330 161344 162000 162720 165888 166752 169500 172800 173568 173700 174472 180800 181512 183060 184320 185280 187596 189075 192000 193000 194400 195264 196281 197632 201680 203400 204201 204800 207360 208440 216000 216960 217125 218090 219672 221184 222336 226000 226890 228825 230400 231424 231600 234495 242016 243000 244080 247040 248832 250128 252100 254250 256000 259200 260352 260550 261708 271200 272268 274590 276480 277920 284873 288000 289280 289500 292896 296448 302520 305100 307200 308800 311040 312660 315125 322688 324000 325440 327135 331776 333504 339000 340335 345600 347136 347400 348944 361600 363024 366120 368640 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8445003110400 8550565649280 8860689792000 8906839218000 9120603359232 9500628499200 10089163008000 10134003732480 10556253888000 10688207061600 11260004147200 11400754199040 11814253056000 11875785624000 12106995609600 12160804478976 12667504665600 13360258827000 13452217344000 13680905038848 14075005184000 14177103667200 14250942748800 15133744512000 15201005598720 15834380832000 16890006220800 17101131298560 17721379584000 17813678436000 18241206718464 19001256998400 20178326016000 20268007464960 21112507776000 21376414123200 22801508398080 23628506112000 23751571248000 24213991219200 25335009331200 26720517654000 27361810077696 28150010368000 28501885497600 30267489024000 30402011197440 31668761664000 33780012441600 34202262597120 35442759168000 35627356872000 36482413436928 38002513996800 40356652032000 42225015552000 42752828246400 45603016796160 47503142496000 50670018662400 53441035308000 54723620155392 56300020736000 57003770995200 60534978048000 60804022394880 63337523328000 68404525194240 70885518336000 71254713744000 76005027993600 84450031104000 85505656492800 91206033592320 95006284992000 101340037324800 106882070616000 109447240310784 114007541990400 121069956096000 126675046656000 136809050388480 142509427488000 152010055987200 168900062208000 171011312985600 182412067184640 190012569984000 213764141232000 228015083980800 253350093312000 273618100776960 285018854976000 304020111974400 342022625971200 380025139968000 427528282464000 456030167961600 506700186624000 547236201553920 570037709952000 684045251942400 760050279936000 855056564928000 912060335923200 1140075419904000 1368090503884800 1520100559872000 1710113129856000 2280150839808000 2736181007769600 3420226259712000 4560301679616000 6840452519424000 13680905038848000
- Sum of all divisors σ(n): 51888495284406144
- Sum of proper divisors (its aliquot sum) s(n): 38207590245558144
- 13680905038848000 is an abundant number, because the sum of its proper divisors (38207590245558144) is greater than itself. Its abundance is 24526685206710144
Bases of 13680905038848000
- Binary: 1100001001101010110101111011010000101111100000000000002
- Hexadecimal: 0x309AB5ED0BE000
- Base-36: 3QPH50DMO00
Squares and roots of 13680905038848000
- 13680905038848000 squared (136809050388480002) is 187167162681976596389167104000000
- 13680905038848000 cubed (136809050388480003) is 2560616179042736963292964995475483656192000000000
-
The
square root of 13680905038848000 is 116965401.0331602291 -
The
cube root of 13680905038848000 is 239169.0303532553
Scales and comparisons
How big is 13680905038848000?- 13,680,905,038,848,000 seconds is equal to 435,010,462 years, 21 weeks, 5 days.
-
To count from 1 to 13,680,905,038,848,000 would take you about one billion, three hundred five million, thirty-one thousand, three hundred eighty-seven 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 13680905038848000 cubic inches would be around 19930.8 feet tall.
Recreational maths with 13680905038848000
- 13680905038848000 backwards is 00084883050908631
- The number of decimal digits it has is: 17
- The sum of 13680905038848000's digits is 63
- More coming soon!
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"Number 13680905038848000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13680905038848000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13680905038848000/
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The information we have on file for 13680905038848000 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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