13137504307200
13,137,504,307,200 is an even composite number composed of six prime numbers multiplied together.
13137504307200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13137504307200:
211 × 34 × 52 × 72 × 13 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 4973)See below for interesting mathematical facts about the number 13137504307200 from the Numbermatics database.
Names of 13137504307200
- Cardinal: 13137504307200 can be written as Thirteen trillion, one hundred thirty-seven billion, five hundred four million, three hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.31375043072 × 1013
Factors of 13137504307200
Divisors of 13137504307200
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 63 64 65 70 72 75 78 80 81 84 90 91 96 98 100 104 105 108 112 117 120 126 128 130 135 140 144 147 150 156 160 162 168 175 180 182 189 192 195 196 200 208 210 216 224 225 234 240 245 252 256 260 270 273 280 288 294 300 312 315 320 324 325 336 350 351 360 364 378 384 390 392 400 405 416 420 432 441 448 450 455 468 480 490 504 512 520 525 540 546 560 567 576 585 588 600 624 630 637 640 648 650 672 675 700 702 720 728 735 756 768 780 784 800 810 819 832 840 864 882 896 900 910 936 945 960 975 980 1008 1024 1040 1050 1053 1080 1092 1120 1134 1152 1170 1176 1200 1225 1248 1260 1274 1280 1296 1300 1323 1344 1350 1365 1400 1404 1440 1456 1470 1512 1536 1560 1568 1575 1600 1620 1638 1664 1680 1728 1755 1764 1792 1800 1820 1872 1890 1911 1920 1950 1960 2016 2025 2048 2080 2100 2106 2160 2184 2205 2240 2268 2275 2304 2340 2352 2400 2450 2457 2496 2520 2548 2560 2592 2600 2646 2688 2700 2730 2800 2808 2835 2880 2912 2925 2940 3024 3072 3120 3136 3150 3185 3200 3240 3276 3328 3360 3456 3510 3528 3584 3600 3640 3675 3744 3780 3822 3840 3900 3920 3969 4032 4050 4095 4160 4200 4212 4320 4368 4410 4480 4536 4550 4608 4680 4704 4725 4800 4900 4914 4973 4992 5040 5096 5120 5184 5200 5265 5292 5376 5400 5460 5600 5616 5670 5733 5760 5824 5850 5880 6048 6144 6240 6272 6300 6370 6400 6480 6552 6615 6656 6720 6825 6912 7020 7056 7168 7200 7280 7350 7371 7488 7560 7644 7680 7800 7840 7938 8064 8100 8190 8320 8400 8424 8640 8736 8775 8820 8960 9072 9100 9216 9360 9408 9450 9555 9600 9800 9828 9946 9984 10080 10192 10240 10368 10400 10530 10584 10752 10800 10920 11025 11200 11232 11340 11466 11520 11648 11700 11760 12096 12285 12480 12544 12600 12740 12800 12960 13104 13230 13312 13440 13650 13824 14040 14112 14175 14336 14400 14560 14700 14742 14919 14976 15120 15288 15360 15600 15680 15876 15925 16128 16200 16380 16640 16800 16848 17199 17280 17472 17550 17640 17920 18144 18200 18432 18720 18816 18900 19110 19200 19600 19656 19845 19892 19968 20160 20384 20475 20736 20800 21060 21168 21504 21600 21840 22050 22400 22464 22680 22932 23040 23296 23400 23520 24192 24570 24865 24960 25088 25200 25480 25600 25920 26208 26325 26460 26624 26880 27300 27648 28080 28224 28350 28665 28800 29120 29400 29484 29838 29952 30240 30576 30720 31200 31360 31752 31850 32256 32400 32760 33075 33280 33600 33696 34398 34560 34811 34944 35100 35280 35840 36288 36400 36855 37440 37632 37800 38220 38400 39200 39312 39690 39784 39936 40320 40768 40950 41472 41600 42120 42336 43008 43200 43680 44100 44757 44800 44928 45360 45864 46080 46592 46800 47040 47775 48384 49140 49730 49920 50176 50400 50960 51200 51597 51840 52416 52650 52920 53760 54600 55296 56160 56448 56700 57330 57600 58240 58800 58968 59676 59904 60480 61152 61425 62400 62720 63504 63700 64512 64649 64800 65520 66150 66560 67200 67392 68796 69120 69622 69888 70200 70560 71680 72576 72800 73710 74595 74880 75264 75600 76440 76800 78400 78624 79380 79568 79872 80640 81536 81900 82944 83200 84240 84672 85995 86400 87360 88200 89514 89600 89856 90720 91728 92160 93184 93600 94080 95550 96768 98280 99225 99460 99840 100352 100800 101920 103194 103680 104433 104832 105300 105840 107520 109200 112320 112896 113400 114660 115200 116480 117600 117936 119352 119808 120960 122304 122850 124325 124800 125440 127008 127400 129024 129298 129600 131040 132300 133120 134271 134400 134784 137592 138240 139244 139776 140400 141120 143325 145152 145600 147420 149190 149760 150528 151200 152880 153600 156800 157248 158760 159136 161280 163072 163800 165888 166400 168480 169344 171990 172800 174055 174720 176400 179028 179200 179712 181440 183456 184275 186368 187200 188160 191100 193536 193947 196560 198450 198920 199680 201600 203840 206388 207360 208866 209664 210600 211680 215040 218400 223785 224640 225792 226800 229320 230400 232960 235200 235872 238704 239616 241920 243677 244608 245700 248650 249600 250880 254016 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202739264 203212800 203644350 206240256 206876800 209462760 210536928 213878784 214833600 217220640 219309300 220147200 222790400 223426944 225575280 228081672 229155840 231702016 232736400 233929920 237585075 240613632 244373220 248252160 249525248 250639200 253424080 254617600 256591881 257800320 260664768 261828450 263171160 264176640 267348480 271525800 274987008 279283680 280715904 281969100 285102090 286444800 289627520 292412400 293247864 293529600 297902592 300767040 304108896 305466525 310315200 311906560 315805392 316780100 320818176 322250400 325830960 328963950 330220800 331002880 334185600 335140416 342122508 343733760 347553024 349104600 350894880 356464640 360920448 362034400 366559830 372378240 374287872 375958800 377395200 380136120 381926400 389883200 390997152 394756740 397203456 401022720 405478528 407288700 412480512 413753600 418925520 421073856 427653135 429667200 434441280 438618600 440294400 445580800 446853888 451150560 456163344 458311680 463404032 465472800 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1169649600 1172991456 1191610368 1203068160 1216435584 1221866100 1241260800 1247626240 1263221568 1267120400 1282959405 1289001600 1303323840 1315855800 1320883200 1336742400 1340561664 1368490032 1374935040 1390212096 1396418400 1403579520 1425510450 1443681792 1448137600 1466239320 1489512960 1497151488 1503835200 1520544480 1559532800 1563988608 1579026960 1604090880 1621914112 1629154800 1655014400 1675702080 1684295424 1710612540 1718668800 1737765120 1754474400 1782323200 1787415552 1804602240 1824653376 1832799150 1861891200 1871439360 1900680600 1924909056 1954985760 1973783700 1986017280 2005113600 2027392640 2052735048 2062402560 2085318144 2094627600 2105369280 2138265675 2172206400 2234269440 2245727232 2255752800 2280816720 2291558400 2317020160 2339299200 2345982912 2406136320 2432871168 2443732200 2482521600 2495252480 2526443136 2534240800 2565918810 2578003200 2606647680 2631711600 2641766400 2673484800 2681123328 2736980064 2780424192 2792836800 2807159040 2851020900 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31279772160 31580539200 32438282240 32843760768 33514041600 33685908480 34212250800 34755302400 36092044800 36493067520 37428787200 37535726592 39099715200 40423090176 40547852800 41054700960 41706362880 42107385600 43791681024 44685388800 45616334400 46919658240 48122726400 48657423360 50528862720 51318376200 52132953600 53622466560 54739601280 56143180800 58388908032 58649572800 60821779200 62559544320 63161078400 65687521536 67028083200 67371816960 68424501600 69510604800 72184089600 72986135040 75071453184 78199430400 81095705600 82109401920 84214771200 87583362048 89370777600 91232668800 93839316480 97314846720 101057725440 102636752400 104265907200 109479202560 112286361600 117299145600 121643558400 125119088640 126322156800 131375043072 134056166400 136849003200 144368179200 145972270080 156398860800 162191411200 164218803840 168429542400 175166724096 182465337600 187678632960 202115450880 205273504800 208531814400 218958405120 234598291200 243287116800 252644313600 262750086144 268112332800 273698006400 291944540160 312797721600 328437607680 336859084800 364930675200 375357265920 410547009600 437916810240 469196582400 486574233600 505288627200 525500172288 547396012800 625595443200 656875215360 729861350400 821094019200 875833620480 938393164800 1010577254400 1094792025600 1313750430720 1459722700800 1642188038400 1876786329600 2189584051200 2627500861440 3284376076800 4379168102400 6568752153600 13137504307200
- Sum of all divisors σ(n): 60969080111940
- Sum of proper divisors (its aliquot sum) s(n): 47831575804740
- 13137504307200 is an abundant number, because the sum of its proper divisors (47831575804740) is greater than itself. Its abundance is 34694071497540
Bases of 13137504307200
- Binary: 101111110010110100000100011100001000000000002
- Hexadecimal: 0xBF2D0470800
- Base-36: 4NNAAV400
Squares and roots of 13137504307200
- 13137504307200 squared (131375043072002) is 172594019421698551971840000
- 13137504307200 cubed (131375043072003) is 2267454673549525179670051053109248000000
-
The
square root of 13137504307200 is 3624569.5340550441 -
The
cube root of 13137504307200 is 23595.9585073989
Scales and comparisons
How big is 13137504307200?- 13,137,504,307,200 seconds is equal to 417,732 years.
-
To count from 1 to 13,137,504,307,200 would take you about one million, forty-four thousand, three hundred thirty 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 13137504307200 cubic inches would be around 1966.3 feet tall.
Recreational maths with 13137504307200
- 13137504307200 backwards is 00270340573131
- 13137504307200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13137504307200's digits is 36
- More coming soon!
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"Number 13137504307200 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 13137504307200 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/13137504307200/
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The information we have on file for 13137504307200 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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