13488431745024000
13,488,431,745,024,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 13488431745024000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 2280 divisors.
13488431745024000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand, two hundred eighty divisors.
Prime factorization of 13488431745024000:
214 × 318 × 53 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17)See below for interesting mathematical facts about the number 13488431745024000 from the Numbermatics database.
Names of 13488431745024000
- Cardinal: 13488431745024000 can be written as Thirteen quadrillion, four hundred eighty-eight trillion, four hundred thirty-one billion, seven hundred forty-five million, twenty-four thousand.
Scientific notation
- Scientific notation: 1.3488431745024 × 1016
Factors of 13488431745024000
Divisors of 13488431745024000
- Number of divisors d(n): 2280
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 125 128 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 243 250 255 256 270 272 288 300 306 320 324 340 360 375 384 400 405 408 425 432 450 459 480 486 500 510 512 540 544 576 600 612 640 648 675 680 720 729 750 765 768 800 810 816 850 864 900 918 960 972 1000 1020 1024 1080 1088 1125 1152 1200 1215 1224 1275 1280 1296 1350 1360 1377 1440 1458 1500 1530 1536 1600 1620 1632 1700 1728 1800 1836 1920 1944 2000 2025 2040 2048 2125 2160 2176 2187 2250 2295 2304 2400 2430 2448 2550 2560 2592 2700 2720 2754 2880 2916 3000 3060 3072 3200 3240 3264 3375 3400 3456 3600 3645 3672 3825 3840 3888 4000 4050 4080 4096 4131 4250 4320 4352 4374 4500 4590 4608 4800 4860 4896 5100 5120 5184 5400 5440 5508 5760 5832 6000 6075 6120 6144 6375 6400 6480 6528 6561 6750 6800 6885 6912 7200 7290 7344 7650 7680 7776 8000 8100 8160 8192 8262 8500 8640 8704 8748 9000 9180 9216 9600 9720 9792 10125 10200 10240 10368 10800 10880 10935 11016 11475 11520 11664 12000 12150 12240 12288 12393 12750 12800 12960 13056 13122 13500 13600 13770 13824 14400 14580 14688 15300 15360 15552 16000 16200 16320 16384 16524 17000 17280 17408 17496 18000 18225 18360 18432 19125 19200 19440 19584 19683 20250 20400 20480 20655 20736 21600 21760 21870 22032 22950 23040 23328 24000 24300 24480 24576 24786 25500 25600 25920 26112 26244 27000 27200 27540 27648 28800 29160 29376 30375 30600 30720 31104 32000 32400 32640 32805 33048 34000 34425 34560 34816 34992 36000 36450 36720 36864 37179 38250 38400 38880 39168 39366 40500 40800 40960 41310 41472 43200 43520 43740 44064 45900 46080 46656 48000 48600 48960 49152 49572 51000 51200 51840 52224 52488 54000 54400 54675 55080 55296 57375 57600 58320 58752 59049 60750 61200 61440 61965 62208 64000 64800 65280 65610 66096 68000 68850 69120 69632 69984 72000 72900 73440 73728 74358 76500 76800 77760 78336 78732 81000 81600 81920 82620 82944 86400 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11019960576000 11101589913600 11240359787520 11708708112000 11989717106688 12397455648000 12489288652800 13172296626000 13223952691200 13488431745024 13876987392000 14050449734400 14693280768000 14987146383360 15611610816000 15868743229440 16529940864000 16652384870400 16860539681280 17563062168000 17631936921600 17984575660032 18502649856000 18733932979200 19835929036800 19982861844480 20815481088000 21075674601600 22039921152000 22480719575040 23417416224000 24794911296000 24978577305600 26344593252000 26447905382400 26976863490048 27753974784000 28100899468800 29386561536000 29974292766720 31223221632000 31737486458880 33059881728000 33304769740800 33721079362560 35126124336000 35969151320064 37467865958400 39671858073600 41630962176000 42151349203200 44079842304000 44961439150080 46834832448000 49589822592000 49957154611200 52689186504000 52895810764800 53953726980096 55507949568000 56201798937600 59948585533440 62446443264000 66119763456000 67442158725120 70252248672000 74935731916800 79343716147200 83261924352000 84302698406400 88159684608000 89922878300160 93669664896000 99179645184000 99914309222400 105378373008000 107907453960192 112403597875200 124892886528000 132239526912000 134884317450240 140504497344000 149871463833600 158687432294400 166523848704000 168605396812800 179845756600320 187339329792000 198359290368000 210756746016000 224807195750400 249785773056000 264479053824000 269768634900480 281008994688000 299742927667200 337210793625600 374678659584000 396718580736000 421513492032000 449614391500800 499571546112000 539537269800960 562017989376000 674421587251200 749357319168000 793437161472000 843026984064000 899228783001600 1124035978752000 1348843174502400 1498714638336000 1686053968128000 2248071957504000 2697686349004800 3372107936256000 4496143915008000 6744215872512000 13488431745024000
- Sum of all divisors σ(n): 53469685324816488
- Sum of proper divisors (its aliquot sum) s(n): 39981253579792488
- 13488431745024000 is an abundant number, because the sum of its proper divisors (39981253579792488) is greater than itself. Its abundance is 26492821834768488
Bases of 13488431745024000
- Binary: 1011111110101110101000001111101011110101000000000000002
- Hexadecimal: 0x2FEBA83EBD4000
- Base-36: 3OT90000000
Squares and roots of 13488431745024000
- 13488431745024000 squared (134884317450240002) is 181937790940171189748760576000000
- 13488431745024000 cubed (134884317450240003) is 2454055474936944978524164836276855373824000000000
-
The
square root of 13488431745024000 is 116139707.8738533765 -
The
cube root of 13488431745024000 is 238042.1255438199
Scales and comparisons
How big is 13488431745024000?- 13,488,431,745,024,000 seconds is equal to 428,890,407 years, 1 week, 5 days.
-
To count from 1 to 13,488,431,745,024,000 would take you about one billion, two hundred eighty-six million, six hundred seventy-one thousand, two hundred twenty-one 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 13488431745024000 cubic inches would be around 19836.8 feet tall.
Recreational maths with 13488431745024000
- 13488431745024000 backwards is 00042054713488431
- 13488431745024000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13488431745024000's digits is 54
- More coming soon!
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The information we have on file for 13488431745024000 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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