13505664344064000
13,505,664,344,064,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13505664344064000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3264 divisors.
13505664344064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred sixty-four divisors.
Prime factorization of 13505664344064000:
216 × 3 × 53 × 233 × 312 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 23 × 23 × 23 × 31 × 31 × 47)See below for interesting mathematical facts about the number 13505664344064000 from the Numbermatics database.
Names of 13505664344064000
- Cardinal: 13505664344064000 can be written as Thirteen quadrillion, five hundred five trillion, six hundred sixty-four billion, three hundred forty-four million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.3505664344064 × 1016
Factors of 13505664344064000
Divisors of 13505664344064000
- Number of divisors d(n): 3264
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 31 32 40 46 47 48 50 60 62 64 69 75 80 92 93 94 96 100 115 120 124 125 128 138 141 150 155 160 184 186 188 192 200 230 235 240 248 250 256 276 282 300 310 320 345 368 372 375 376 384 400 460 465 470 480 496 500 512 529 552 564 575 600 620 640 690 705 713 736 744 750 752 768 775 800 920 930 940 960 961 992 1000 1024 1058 1081 1104 1128 1150 1175 1200 1240 1280 1380 1410 1426 1457 1472 1488 1500 1504 1536 1550 1587 1600 1725 1840 1860 1880 1920 1922 1984 2000 2048 2116 2139 2162 2208 2256 2300 2325 2350 2400 2480 2560 2645 2760 2820 2852 2875 2883 2914 2944 2976 3000 3008 3072 3100 3174 3200 3243 3450 3525 3565 3680 3720 3760 3840 3844 3875 3968 4000 4096 4232 4278 4324 4371 4416 4512 4600 4650 4700 4800 4805 4960 5120 5290 5405 5520 5640 5704 5750 5766 5828 5875 5888 5952 6000 6016 6144 6200 6348 6400 6486 6900 7050 7130 7285 7360 7440 7520 7680 7688 7750 7935 7936 8000 8192 8464 8556 8625 8648 8742 8832 9024 9200 9300 9400 9600 9610 9920 10240 10580 10695 10810 11040 11280 11408 11500 11532 11625 11656 11750 11776 11904 12000 12032 12167 12288 12400 12696 12800 12972 13225 13800 14100 14260 14415 14570 14720 14880 15040 15360 15376 15500 15870 15872 16000 16215 16384 16399 16928 17112 17250 17296 17484 17625 17664 17825 18048 18400 18600 18800 19200 19220 19840 20480 21160 21390 21620 21855 22080 22103 22560 22816 23000 23064 23250 23312 23500 23552 23808 24000 24025 24064 24334 24576 24800 24863 25392 25600 25944 26450 27025 27600 28200 28520 28830 29140 29440 29760 30080 30720 30752 31000 31740 31744 32000 32430 32768 32798 33511 33856 34224 34500 34592 34968 35250 35328 35650 36096 36425 36501 36800 37200 37600 38400 38440 39675 39680 40960 42320 42780 43240 43710 44160 44206 45120 45167 45632 46000 46128 46500 46624 47000 47104 47616 48000 48050 48128 48668 49152 49197 49600 49726 50784 51200 51888 52900 53475 54050 55200 56400 57040 57660 58280 58880 59520 60160 60835 61440 61504 62000 63480 63488 64000 64860 65536 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21102600537600 21783329587200 22509440573440 23488111902720 23946213376000 24466783232000 25530556416000 26378250672000 27011328688128 27229161984000 28136800716800 28735456051200 29044439449600 29360139878400 33764160860160 35171000896000 35919320064000 36015104917504 36305549312000 36700174848000 39146853171200 42205201075200 43566659174400 45018881146880 47892426752000 48933566464000 52756501344000 54022657376256 54458323968000 56273601433600 57470912102400 58720279756800 67528321720320 70342001792000 71838640128000 72611098624000 73400349696000 84410402150400 87133318348800 90037762293760 95784853504000 97867132928000 105513002688000 108045314752512 108916647936000 112547202867200 117440559513600 135056643440640 140684003584000 143677280256000 145222197248000 146800699392000 168820804300800 180075524587520 195734265856000 211026005376000 217833295872000 225094405734400 270113286881280 281368007168000 287354560512000 293601398784000 337641608601600 422052010752000 435666591744000 450188811468800 540226573762560 562736014336000 587202797568000 675283217203200 844104021504000 900377622937600 1125472028672000 1350566434406400 1688208043008000 2250944057344000 2701132868812800 3376416086016000 4501888114688000 6752832172032000 13505664344064000
- Sum of all divisors σ(n): 49587110222008320
- Sum of proper divisors (its aliquot sum) s(n): 36081445877944320
- 13505664344064000 is an abundant number, because the sum of its proper divisors (36081445877944320) is greater than itself. Its abundance is 22575781533880320
Bases of 13505664344064000
- Binary: 1011111111101101010100100001011010111100000000000000002
- Hexadecimal: 0x2FFB5485AF0000
- Base-36: 3OZCWJOJAIO
Squares and roots of 13505664344064000
- 13505664344064000 squared (135056643440640002) is 182402969374521675372036096000000
- 13505664344064000 cubed (135056643440640003) is 2463473279732875163167220223651971334144000000000
-
The
square root of 13505664344064000 is 116213873.2856968329 -
The
cube root of 13505664344064000 is 238143.4553080175
Scales and comparisons
How big is 13505664344064000?- 13,505,664,344,064,000 seconds is equal to 429,438,350 years, 19 weeks, 4 days, 18 hours, 40 minutes.
-
To count from 1 to 13,505,664,344,064,000 would take you about one billion, two hundred eighty-eight million, three hundred fifteen thousand and fifty-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 13505664344064000 cubic inches would be around 19845.3 feet tall.
Recreational maths with 13505664344064000
- 13505664344064000 backwards is 00046044346650531
- The number of decimal digits it has is: 17
- The sum of 13505664344064000's digits is 51
- More coming soon!
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"Number 13505664344064000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 13505664344064000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/13505664344064000/
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The information we have on file for 13505664344064000 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!
Keywords: Divisors of 13505664344064000, math, Factors of 13505664344064000, curriculum, school, college, exams, university, Prime factorization of 13505664344064000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, five hundred five trillion, six hundred sixty-four billion, three hundred forty-four million, sixty-four thousand.