13488031584144000
13,488,031,584,144,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13488031584144000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
13488031584144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13488031584144000:
27 × 32 × 53 × 132 × 59 × 2113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 59 × 211 × 211 × 211)See below for interesting mathematical facts about the number 13488031584144000 from the Numbermatics database.
Names of 13488031584144000
- Cardinal: 13488031584144000 can be written as Thirteen quadrillion, four hundred eighty-eight trillion, thirty-one billion, five hundred eighty-four million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3488031584144 × 1016
Factors of 13488031584144000
Divisors of 13488031584144000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 59 60 64 65 72 75 78 80 90 96 100 104 117 118 120 125 128 130 144 150 156 160 169 177 180 192 195 200 208 211 225 234 236 240 250 260 288 295 300 312 320 325 338 354 360 375 384 390 400 416 422 450 468 472 480 500 507 520 531 576 585 590 600 624 633 640 650 676 708 720 750 767 780 800 832 844 845 885 900 936 944 960 975 1000 1014 1040 1055 1062 1125 1152 1170 1180 1200 1248 1266 1300 1352 1416 1440 1475 1500 1521 1534 1560 1600 1625 1664 1688 1690 1770 1800 1872 1888 1899 1920 1950 2000 2028 2080 2110 2124 2250 2301 2340 2360 2400 2496 2532 2535 2600 2655 2704 2743 2832 2880 2925 2950 3000 3042 3068 3120 3165 3200 3250 3376 3380 3540 3600 3744 3776 3798 3835 3900 4000 4056 4160 4220 4225 4248 4425 4500 4602 4680 4720 4800 4875 4992 5064 5070 5200 5275 5310 5408 5486 5664 5760 5850 5900 6000 6084 6136 6240 6330 6500 6752 6760 6903 7080 7200 7375 7488 7552 7596 7605 7670 7800 8000 8112 8229 8320 8440 8450 8496 8850 9000 9204 9360 9440 9495 9600 9750 9971 10128 10140 10400 10550 10620 10816 10972 11328 11505 11700 11800 12000 12168 12272 12449 12480 12660 12675 13000 13275 13504 13520 13715 13806 14160 14400 14625 14750 14976 15192 15210 15340 15600 15825 16000 16224 16458 16880 16900 16992 17700 18000 18408 18720 18880 18990 19175 19500 19942 20256 20280 20800 21100 21125 21240 21632 21944 22125 22656 23010 23400 23600 24000 24336 24544 24687 24898 24960 25320 25350 26000 26375 26550 27008 27040 27430 27612 28320 28800 29250 29500 29913 30384 30420 30680 31200 31650 32448 32916 33760 33800 33984 34515 35400 35659 36000 36816 37347 37440 37760 37980 38025 38350 39000 39884 40512 40560 41145 41600 42200 42250 42480 43888 44250 44521 46020 46800 47200 47475 48000 48672 49088 49374 49796 49855 50640 50700 52000 52750 53100 54080 54860 55224 56640 57525 58500 59000 59826 60768 60840 61360 62245 62400 63300 63375 64896 65832 66375 67520 67600 67968 68575 69030 70800 71318 72000 73632 74694 74880 75960 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7981083777600 7990540038000 8105788211625 8300327128704 8430019740090 8646174092400 8792719416000 8867870864000 8992021056096 9144428192640 9366688600100 9525446034000 9976354722000 10375408910880 10654053384000 10807717615500 11240026320120 11430535240800 11528232123200 11708360750125 11989361408128 12700594712000 12784864060800 12969261138600 13301806296000 13488031584144 13833878547840 14050032900150 14288169051000 14410290154000 14986701760160 15240713654400 15962167555200 15981080076000 16211576423250 16860039480180 17292348184800 17585438832000 17984042112192 18733377200200 19050892068000 19952709444000 20750817821760 21075049350225 21308106768000 21615435231000 22480052640240 22861070481600 23056464246400 23416721500250 25401189424000 25938522277200 26603612592000 26976063168288 28100065800300 28576338102000 28820580308000 29973403520320 31962160152000 32423152846500 33720078960360 34584696369600 35125082250375 35968084224384 37466754400400 38101784136000 39905418888000 41501635643520 42150098700450 43230870462000 44960105280480 45722140963200 46833443000500 51877044554400 53952126336576 56200131600600 57152676204000 57641160616000 59946807040640 63924320304000 64846305693000 67440157920720 69169392739200 70250164500750 74933508800800 76203568272000 79810837776000 84300197400900 86461740924000 89920210560960 93666886001000 103754089108800 105375246751125 107904252673152 112400263201200 114305352408000 115282321232000 129692611386000 134880315841440 140500329001500 149867017601600 168600394801800 172923481848000 179840421121920 187333772002000 207508178217600 210750493502250 224800526402400 228610704816000 259385222772000 269760631682880 281000658003000 299734035203200 337200789603600 345846963696000 374667544004000 421500987004500 449601052804800 518770445544000 539521263365760 562001316006000 674401579207200 749335088008000 843001974009000 899202105609600 1037540891088000 1124002632012000 1348803158414400 1498670176016000 1686003948018000 2248005264024000 2697606316828800 3372007896036000 4496010528048000 6744015792072000 13488031584144000
- Sum of all divisors σ(n): 53594595496540800
- Sum of proper divisors (its aliquot sum) s(n): 40106563912396800
- 13488031584144000 is an abundant number, because the sum of its proper divisors (40106563912396800) is greater than itself. Its abundance is 26618532328252800
Bases of 13488031584144000
- Binary: 1011111110101101001011000100110100101011001010100000002
- Hexadecimal: 0x2FEB4B134ACA80
- Base-36: 3OT3W62JKW0
Squares and roots of 13488031584144000
- 13488031584144000 squared (134880315841440002) is 181926996014866102152212736000000
- 13488031584144000 cubed (134880315841440003) is 2453837068256953606786156477364972457984000000000
-
The
square root of 13488031584144000 is 116137985.1045470825 -
The
cube root of 13488031584144000 is 238039.7715244589
Scales and comparisons
How big is 13488031584144000?- 13,488,031,584,144,000 seconds is equal to 428,877,683 years, 8 weeks, 8 hours.
-
To count from 1 to 13,488,031,584,144,000 would take you about one billion, two hundred eighty-six million, six hundred thirty-three thousand and forty-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 13488031584144000 cubic inches would be around 19836.6 feet tall.
Recreational maths with 13488031584144000
- 13488031584144000 backwards is 00044148513088431
- The number of decimal digits it has is: 17
- The sum of 13488031584144000's digits is 54
- More coming soon!
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"Number 13488031584144000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 13488031584144000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/13488031584144000/
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The information we have on file for 13488031584144000 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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