13328769613824000
13,328,769,613,824,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13328769613824000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3168 divisors.
13328769613824000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 13328769613824000:
221 × 32 × 53 × 7 × 43 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 43 × 137 × 137)See below for interesting mathematical facts about the number 13328769613824000 from the Numbermatics database.
Names of 13328769613824000
- Cardinal: 13328769613824000 can be written as Thirteen quadrillion, three hundred twenty-eight trillion, seven hundred sixty-nine billion, six hundred thirteen million, eight hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.3328769613824 × 1016
Factors of 13328769613824000
Divisors of 13328769613824000
- 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 30 32 35 36 40 42 43 45 48 50 56 60 63 64 70 72 75 80 84 86 90 96 100 105 112 120 125 126 128 129 137 140 144 150 160 168 172 175 180 192 200 210 215 224 225 240 250 252 256 258 274 280 288 300 301 315 320 336 344 350 360 375 384 387 400 411 420 430 448 450 480 500 504 512 516 525 548 560 576 600 602 630 640 645 672 685 688 700 720 750 768 774 800 822 840 860 875 896 900 903 959 960 1000 1008 1024 1032 1050 1075 1096 1120 1125 1152 1200 1204 1233 1260 1280 1290 1344 1370 1376 1400 1440 1500 1505 1536 1548 1575 1600 1644 1680 1720 1750 1792 1800 1806 1918 1920 1935 2000 2016 2048 2055 2064 2100 2150 2192 2240 2250 2304 2400 2408 2466 2520 2560 2580 2625 2688 2709 2740 2752 2800 2877 2880 3000 3010 3072 3096 3150 3200 3225 3288 3360 3425 3440 3500 3584 3600 3612 3836 3840 3870 4000 4032 4096 4110 4128 4200 4300 4384 4480 4500 4515 4608 4795 4800 4816 4932 5040 5120 5160 5250 5375 5376 5418 5480 5504 5600 5754 5760 5891 6000 6020 6144 6165 6192 6300 6400 6450 6576 6720 6850 6880 7000 7168 7200 7224 7525 7672 7680 7740 7875 8000 8064 8192 8220 8256 8400 8600 8631 8768 8960 9000 9030 9216 9590 9600 9632 9675 9864 10080 10240 10275 10320 10500 10750 10752 10836 10960 11008 11200 11508 11520 11782 12000 12040 12288 12330 12384 12600 12800 12900 13152 13440 13545 13700 13760 14000 14336 14385 14400 14448 15050 15344 15360 15480 15750 16000 16125 16128 16384 16440 16512 16800 17125 17200 17262 17536 17673 17920 18000 18060 18432 18769 19180 19200 19264 19350 19728 20160 20480 20550 20640 21000 21500 21504 21672 21920 22016 22400 22575 23016 23040 23564 23975 24000 24080 24576 24660 24768 25200 25600 25800 26304 26880 27090 27400 27520 28000 28672 28770 28800 28896 29455 30100 30688 30720 30825 30960 31500 32000 32250 32256 32768 32880 33024 33600 34250 34400 34524 35072 35346 35840 36000 36120 36864 37538 37625 38360 38400 38528 38700 39456 40320 40960 41100 41237 41280 42000 43000 43008 43155 43344 43840 44032 44800 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7749284659200 7933791436800 8107524096000 8330481008640 8462710865920 8610316288000 8677584384000 8856325324800 8885846409216 9256090009600 9520549724160 9686605824000 9729028915200 9917239296000 10332379545600 10413101260800 10578388582400 10810032128000 11070406656000 11107308011520 11570112512000 11847795212288 11900687155200 12161286144000 12398855454720 12694066298880 12915474432000 13016376576000 13222985728000 13328769613824 13884135014400 13898612736000 14760542208000 14809744015360 14875858944000 15232879558656 15498569318400 15867582873600 16215048192000 16660962017280 17220632576000 17355168768000 17771692818432 18512180019200 19041099448320 19373211648000 19458057830400 19834478592000 20664759091200 20826202521600 21156777164800 22140813312000 22214616023040 23140225024000 23801374310400 24322572288000 25388132597760 25830948864000 26032753152000 26445971456000 26657539227648 27768270028800 29619488030720 29751717888000 30997138636800 31735165747200 32430096384000 33321924034560 34441265152000 34710337536000 35543385636864 37024360038400 38082198896640 38746423296000 39668957184000 41652405043200 42313554329600 44281626624000 44429232046080 46280450048000 47602748620800 48645144576000 51661897728000 52065506304000 52891942912000 53315078455296 55536540057600 59238976061440 59503435776000 61994277273600 63470331494400 66643848069120 69420675072000 74048720076800 76164397793280 77492846592000 79337914368000 83304810086400 88858464092160 92560900096000 95205497241600 97290289152000 103323795456000 104131012608000 105783885824000 106630156910592 111073080115200 119006871552000 126940662988800 133287696138240 138841350144000 148097440153600 154985693184000 158675828736000 166609620172800 177716928184320 185121800192000 190410994483200 208262025216000 211567771648000 222146160230400 238013743104000 266575392276480 277682700288000 296194880307200 309971386368000 317351657472000 333219240345600 370243600384000 380821988966400 416524050432000 444292320460800 476027486208000 533150784552960 555365400576000 634703314944000 666438480691200 740487200768000 833048100864000 888584640921600 952054972416000 1110730801152000 1332876961382400 1480974401536000 1666096201728000 1904109944832000 2221461602304000 2665753922764800 3332192403456000 4442923204608000 6664384806912000 13328769613824000
- Sum of all divisors σ(n): 56609984947291776
- Sum of proper divisors (its aliquot sum) s(n): 43281215333467776
- 13328769613824000 is an abundant number, because the sum of its proper divisors (43281215333467776) is greater than itself. Its abundance is 29952445719643776
Bases of 13328769613824000
- Binary: 1011110101101001110010000000100010000000000000000000002
- Hexadecimal: 0x2F5A7202200000
- Base-36: 3N8NK89FR40
Squares and roots of 13328769613824000
- 13328769613824000 squared (133287696138240002) is 177656099418397982091902976000000
- 13328769613824000 cubed (133287696138240003) is 2367937219638438622767834497096796340224000000000
-
The
square root of 13328769613824000 is 115450290.6614963877 -
The
cube root of 13328769613824000 is 237099.1627730847
Scales and comparisons
How big is 13328769613824000?- 13,328,769,613,824,000 seconds is equal to 423,813,645 years, 6 weeks, 4 days, 16 hours.
-
To count from 1 to 13,328,769,613,824,000 would take you about one billion, two hundred seventy-one million, four hundred forty thousand, nine hundred thirty-five 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 13328769613824000 cubic inches would be around 19758.3 feet tall.
Recreational maths with 13328769613824000
- 13328769613824000 backwards is 00042831696782331
- 13328769613824000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13328769613824000's digits is 63
- More coming soon!
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"Number 13328769613824000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13328769613824000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13328769613824000/
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The information we have on file for 13328769613824000 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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