13328989640064000
13,328,989,640,064,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13328989640064000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3168 divisors.
13328989640064000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 13328989640064000:
210 × 32 × 53 × 72 × 29 × 31 × 262657
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 29 × 31 × 262657)See below for interesting mathematical facts about the number 13328989640064000 from the Numbermatics database.
Names of 13328989640064000
- Cardinal: 13328989640064000 can be written as Thirteen quadrillion, three hundred twenty-eight trillion, nine hundred eighty-nine billion, six hundred forty million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.3328989640064 × 1016
Factors of 13328989640064000
Divisors of 13328989640064000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 29 30 31 32 35 36 40 42 45 48 49 50 56 58 60 62 63 64 70 72 75 80 84 87 90 93 96 98 100 105 112 116 120 124 125 126 128 140 144 145 147 150 155 160 168 174 175 180 186 192 196 200 203 210 217 224 225 232 240 245 248 250 252 256 261 279 280 288 290 294 300 310 315 320 336 348 350 360 372 375 384 392 400 406 420 434 435 441 448 450 464 465 480 490 496 500 504 512 522 525 558 560 576 580 588 600 609 620 630 640 651 672 696 700 720 725 735 744 750 768 775 784 800 812 840 868 870 875 882 896 899 900 928 930 960 980 992 1000 1008 1015 1024 1044 1050 1085 1116 1120 1125 1152 1160 1176 1200 1218 1225 1240 1260 1280 1302 1305 1344 1392 1395 1400 1421 1440 1450 1470 1488 1500 1519 1536 1550 1568 1575 1600 1624 1680 1736 1740 1750 1764 1792 1798 1800 1827 1856 1860 1920 1953 1960 1984 2000 2016 2030 2088 2100 2170 2175 2205 2232 2240 2250 2304 2320 2325 2352 2400 2436 2450 2480 2520 2560 2604 2610 2625 2688 2697 2784 2790 2800 2842 2880 2900 2940 2976 3000 3038 3045 3072 3100 3136 3150 3200 3248 3255 3360 3472 3480 3500 3528 3584 3596 3600 3625 3654 3675 3712 3720 3840 3875 3906 3920 3968 4000 4032 4060 4176 4200 4263 4340 4350 4410 4464 4480 4495 4500 4557 4608 4640 4650 4704 4800 4872 4900 4960 5040 5075 5120 5208 5220 5250 5376 5394 5425 5568 5580 5600 5684 5760 5800 5880 5952 6000 6076 6090 6125 6200 6272 6293 6300 6400 6496 6510 6525 6720 6944 6960 6975 7000 7056 7105 7168 7192 7200 7250 7308 7350 7424 7440 7595 7680 7750 7812 7840 7875 7936 8000 8064 8091 8120 8352 8400 8526 8680 8700 8820 8928 8960 8990 9000 9114 9135 9216 9280 9300 9408 9600 9744 9765 9800 9920 10080 10150 10416 10440 10500 10752 10788 10850 10875 11025 11136 11160 11200 11368 11520 11600 11625 11760 11904 12000 12152 12180 12250 12400 12544 12586 12600 12789 12800 12992 13020 13050 13440 13485 13671 13888 13920 13950 14000 14112 14210 14384 14400 14500 14616 14700 14848 14880 15190 15225 15360 15500 15624 15680 15750 15872 16000 16128 16182 16240 16275 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47774156416000 51068925824000 52066365781500 52892816032000 53315958560256 53745925968000 54404039347200 55537456833600 57452541552000 59239953955840 59504418036000 61423915392000 63471379238400 65660047488000 66644948200320 68005049184000 69421821042000 71661234624000 74049942444800 76165655086080 76603388736000 79339224048000 83306185250400 85993481548800 88859930933760 90673398912000 91924066483200 92562428056000 95207068857600 104132731563000 105785632064000 106631917120512 107491851936000 111074913667200 114905083104000 119008836072000 126942758476800 133289896400640 136010098368000 138843642084000 143322469248000 148099884889600 153206777472000 158678448096000 166612370500800 177719861867520 185124856112000 190414137715200 208265463126000 211571264128000 214983703872000 222149827334400 229810166208000 238017672144000 266579792801280 272020196736000 277687284168000 296199769779200 317356896192000 333224741001600 370249712224000 380828275430400 416530926252000 429967407744000 444299654668800 459620332416000 476035344288000 533159585602560 555374568336000 634713792384000 666449482003200 740499424448000 833061852504000 888599309337600 952070688576000 1110749136672000 1332898964006400 1480998848896000 1666123705008000 1904141377152000 2221498273344000 2665797928012800 3332247410016000 4442996546688000 6664494820032000 13328989640064000
- Sum of all divisors σ(n): 59665394305820160
- Sum of proper divisors (its aliquot sum) s(n): 46336404665756160
- 13328989640064000 is an abundant number, because the sum of its proper divisors (46336404665756160) is greater than itself. Its abundance is 33007415025692160
Bases of 13328989640064000
- Binary: 1011110101101010100101001111001011010111111100000000002
- Hexadecimal: 0x2F5AA53CB5FC00
- Base-36: 3N8QDB3DOG0
Squares and roots of 13328989640064000
- 13328989640064000 squared (133289896400640002) is 177661964824933440273924096000000
- 13328989640064000 cubed (133289896400640003) is 2368054488584952604849488777907896582144000000000
-
The
square root of 13328989640064000 is 115451243.5622241359 -
The
cube root of 13328989640064000 is 237100.4674133917
Scales and comparisons
How big is 13328989640064000?- 13,328,989,640,064,000 seconds is equal to 423,820,641 years, 14 weeks, 4 days, 16 hours.
-
To count from 1 to 13,328,989,640,064,000 would take you about one billion, two hundred seventy-one million, four hundred sixty-one thousand, nine hundred twenty-three 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 13328989640064000 cubic inches would be around 19758.4 feet tall.
Recreational maths with 13328989640064000
- 13328989640064000 backwards is 00046004698982331
- 13328989640064000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13328989640064000's digits is 63
- More coming soon!
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"Number 13328989640064000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 13328989640064000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13328989640064000/
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The information we have on file for 13328989640064000 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 13328989640064000, math, Factors of 13328989640064000, curriculum, school, college, exams, university, Prime factorization of 13328989640064000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, three hundred twenty-eight trillion, nine hundred eighty-nine billion, six hundred forty million, sixty-four thousand.