13428317700096000
13,428,317,700,096,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13428317700096000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13428317700096000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13428317700096000:
217 × 3 × 53 × 132 × 37 × 43691
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 37 × 43691)See below for interesting mathematical facts about the number 13428317700096000 from the Numbermatics database.
Names of 13428317700096000
- Cardinal: 13428317700096000 can be written as Thirteen quadrillion, four hundred twenty-eight trillion, three hundred seventeen billion, seven hundred million, ninety-six thousand.
Scientific notation
- Scientific notation: 1.3428317700096 × 1016
Factors of 13428317700096000
Divisors of 13428317700096000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 64 65 74 75 78 80 96 100 104 111 120 125 128 130 148 150 156 160 169 185 192 195 200 208 222 240 250 256 260 296 300 312 320 325 338 370 375 384 390 400 416 444 480 481 500 507 512 520 555 592 600 624 640 650 676 740 750 768 780 800 832 845 888 925 960 962 975 1000 1014 1024 1040 1110 1184 1200 1248 1280 1300 1352 1443 1480 1500 1536 1560 1600 1625 1664 1690 1776 1850 1920 1924 1950 2000 2028 2048 2080 2220 2368 2400 2405 2496 2535 2560 2600 2704 2775 2886 2960 3000 3072 3120 3200 3250 3328 3380 3552 3700 3840 3848 3900 4000 4056 4096 4160 4225 4440 4625 4736 4800 4810 4875 4992 5070 5120 5200 5408 5550 5772 5920 6000 6144 6240 6253 6400 6500 6656 6760 7104 7215 7400 7680 7696 7800 8000 8112 8192 8320 8450 8880 9250 9472 9600 9620 9750 9984 10140 10240 10400 10816 11100 11544 11840 12000 12025 12288 12480 12506 12675 12800 13000 13312 13520 13875 14208 14430 14800 15360 15392 15600 16000 16224 16384 16640 16900 17760 18500 18759 18944 19200 19240 19500 19968 20280 20480 20800 21125 21632 22200 23088 23680 24000 24050 24576 24960 25012 25350 25600 26000 26624 27040 27750 28416 28860 29600 30720 30784 31200 31265 32000 32448 32768 33280 33800 35520 36075 37000 37518 37888 38400 38480 39000 39936 40560 40960 41600 42250 43264 43691 44400 46176 47360 48000 48100 49152 49920 50024 50700 51200 52000 53248 54080 55500 56832 57720 59200 60125 61440 61568 62400 62530 63375 64000 64896 65536 66560 67600 71040 72150 74000 75036 75776 76800 76960 78000 79872 81120 81920 83200 84500 86528 87382 88800 92352 93795 94720 96000 96200 98304 99840 100048 101400 102400 104000 106496 108160 111000 113664 115440 118400 120250 122880 123136 124800 125060 126750 128000 129792 131072 131073 133120 135200 142080 144300 148000 150072 151552 153600 153920 156000 156325 159744 162240 163840 166400 169000 173056 174764 177600 180375 184704 187590 189440 192000 192400 196608 199680 200096 202800 204800 208000 212992 216320 218455 222000 227328 230880 236800 240500 245760 246272 249600 250120 253500 256000 259584 262146 266240 270400 284160 288600 296000 300144 303104 307200 307840 312000 312650 319488 324480 327680 332800 338000 346112 349528 355200 360750 369408 375180 378880 384000 384800 393216 399360 400192 405600 409600 416000 425984 432640 436910 444000 454656 461760 468975 473600 481000 491520 492544 499200 500240 507000 512000 519168 524292 532480 540800 567983 568320 577200 592000 600288 606208 614400 615680 624000 625300 638976 648960 655360 655365 665600 676000 692224 699056 710400 721500 738816 750360 757760 768000 769600 781625 798720 800384 811200 819200 832000 851968 865280 873820 888000 909312 923520 937950 947200 962000 983040 985088 998400 1000480 1014000 1024000 1038336 1048584 1064960 1081600 1092275 1135966 1136640 1154400 1184000 1200576 1212416 1228800 1231360 1248000 1250600 1277952 1297920 1310730 1331200 1352000 1384448 1398112 1420800 1443000 1477632 1500720 1515520 1536000 1539200 1563250 1597440 1600768 1616567 1622400 1638400 1664000 1703936 1703949 1730560 1747640 1776000 1818624 1847040 1875900 1894400 1924000 1966080 1970176 1996800 2000960 2028000 2048000 2076672 2097168 2129920 2163200 2184550 2271932 2273280 2308800 2344875 2368000 2401152 2424832 2457600 2462720 2496000 2501200 2555904 2595840 2621460 2662400 2704000 2768896 2796224 2839915 2841600 2886000 2955264 3001440 3031040 3072000 3078400 3126500 3194880 3201536 3233134 3244800 3276800 3276825 3328000 3407898 3461120 3495280 3552000 3637248 3694080 3751800 3788800 3848000 3940352 3993600 4001920 4056000 4096000 4153344 4194336 4259840 4326400 4369100 4543864 4546560 4617600 4689750 4736000 4802304 4849664 4849701 4915200 4925440 4992000 5002400 5111808 5191680 5242920 5324800 5408000 5461375 5537792 5592448 5679830 5683200 5772000 5910528 6002880 6062080 6144000 6156800 6253000 6389760 6403072 6466268 6489600 6553650 6656000 6815796 6922240 6990560 7104000 7274496 7383779 7388160 7503600 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472561856000 483903340544 496609382400 504368904000 516473757696 524543660160 529716674560 536875008000 537993497600 546399646000 558350008320 559513237504 567074227200 581614592000 604879175680 620761728000 635660009472 645592197120 655679575200 662145843200 672491872000 688631676928 697937510400 699391546880 708842784000 715833344000 725855010816 756098969600 794575011840 806990246400 819599469000 827682304000 839269856256 860789596160 872421888000 874239433600 907318763520 930583347200 945123712000 967806681088 993218764800 1008737808000 1032947515392 1049087320320 1059433349120 1073750016000 1075986995200 1092799292000 1116700016640 1119026475008 1134148454400 1163229184000 1209758351360 1241523456000 1291184394240 1311359150400 1324291686400 1344983744000 1377263353856 1395875020800 1398783093760 1417685568000 1451710021632 1512197939200 1589150023680 1613980492800 1639198938000 1655364608000 1678539712512 1721579192320 1744843776000 1748478867200 1814637527040 1861166694400 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10329475153920 10490873203200 10759869952000 11190264750080 11341484544000 12097583513600 12911843942400 13113591504000 13242916864000 13428317700096 13772633538560 13958750208000 13987830937600 14517100216320 15121979392000 15891500236800 16139804928000 16785397125120 17215791923200 17484788672000 17904423600128 18146375270400 19864375296000 20658950307840 20981746406400 21519739904000 22380529500160 22682969088000 24195167027200 25823687884800 26227183008000 26485833728000 26856635400192 27917500416000 27975661875200 30243958784000 32279609856000 33570794250240 34431583846400 34969577344000 35808847200256 36292750540800 39728750592000 41317900615680 41963492812800 43039479808000 44761059000320 45365938176000 51647375769600 52454366016000 53713270800384 55951323750400 60487917568000 64559219712000 67141588500480 68863167692800 69939154688000 72585501081600 79457501184000 83926985625600 86078959616000 89522118000640 90731876352000 103294751539200 104908732032000 107426541600768 111902647500800 120975835136000 129118439424000 134283177000960 139878309376000 167853971251200 172157919232000 179044236001280 181463752704000 206589503078400 209817464064000 223805295001600 258236878848000 268566354001920 279756618752000 335707942502400 344315838464000 362927505408000 419634928128000 447610590003200 516473757696000 537132708003840 559513237504000 671415885004800 839269856256000 895221180006400 1032947515392000 1119026475008000 1342831770009600 1678539712512000 2238052950016000 2685663540019200 3357079425024000 4476105900032000 6714158850048000 13428317700096000
- Sum of all divisors σ(n): 49700352188462976
- Sum of proper divisors (its aliquot sum) s(n): 36272034488366976
- 13428317700096000 is an abundant number, because the sum of its proper divisors (36272034488366976) is greater than itself. Its abundance is 22843716788270976
Bases of 13428317700096000
- Binary: 1011111011010011111011110110100111001000000000000000002
- Hexadecimal: 0x2FB4FBDA720000
- Base-36: 3O7XVZLQY2O
Squares and roots of 13428317700096000
- 13428317700096000 squared (134283177000960002) is 180319716254711526998409216000000
- 13428317700096000 cubed (134283177000960003) is 2421390437459431199147218653647770484736000000000
-
The
square root of 13428317700096000 is 115880618.3108115799 -
The
cube root of 13428317700096000 is 237687.9705631909
Scales and comparisons
How big is 13428317700096000?- 13,428,317,700,096,000 seconds is equal to 426,978,966 years, 18 weeks, 1 day, 2 hours, 40 minutes.
-
To count from 1 to 13,428,317,700,096,000 would take you about one billion, two hundred eighty million, nine hundred thirty-six thousand, eight hundred ninety-nine 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 13428317700096000 cubic inches would be around 19807.3 feet tall.
Recreational maths with 13428317700096000
- 13428317700096000 backwards is 00069000771382431
- The number of decimal digits it has is: 17
- The sum of 13428317700096000's digits is 51
- More coming soon!
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Numbermatics. (2024). Number 13428317700096000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/13428317700096000/
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The information we have on file for 13428317700096000 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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