13828267966464000
13,828,267,966,464,000 is an even composite number composed of five prime numbers multiplied together.
13828267966464000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, five hundred eighty-four divisors.
Prime factorization of 13828267966464000:
227 × 33 × 53 × 73 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 89)See below for interesting mathematical facts about the number 13828267966464000 from the Numbermatics database.
Names of 13828267966464000
- Cardinal: 13828267966464000 can be written as Thirteen quadrillion, eight hundred twenty-eight trillion, two hundred sixty-seven billion, nine hundred sixty-six million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.3828267966464 × 1016
Factors of 13828267966464000
Divisors of 13828267966464000
- Number of divisors d(n): 3584
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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 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 89 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 168 175 178 180 189 192 196 200 210 216 224 225 240 245 250 252 256 267 270 280 288 294 300 315 320 336 343 350 356 360 375 378 384 392 400 420 432 441 445 448 450 480 490 500 504 512 525 534 540 560 576 588 600 623 630 640 672 675 686 700 712 720 735 750 756 768 784 800 801 840 864 875 882 890 896 900 945 960 980 1000 1008 1024 1029 1050 1068 1080 1120 1125 1152 1176 1200 1225 1246 1260 1280 1323 1335 1344 1350 1372 1400 1424 1440 1470 1500 1512 1536 1568 1575 1600 1602 1680 1715 1728 1750 1764 1780 1792 1800 1869 1890 1920 1960 2000 2016 2048 2058 2100 2136 2160 2205 2225 2240 2250 2304 2352 2400 2403 2450 2492 2520 2560 2625 2646 2670 2688 2700 2744 2800 2848 2880 2940 3000 3024 3072 3087 3115 3136 3150 3200 3204 3360 3375 3430 3456 3500 3528 3560 3584 3600 3675 3738 3780 3840 3920 4000 4005 4032 4096 4116 4200 4272 4320 4361 4410 4450 4480 4500 4608 4704 4725 4800 4806 4900 4984 5040 5120 5145 5250 5292 5340 5376 5400 5488 5600 5607 5696 5760 5880 6000 6048 6125 6144 6174 6230 6272 6300 6400 6408 6615 6675 6720 6750 6860 6912 7000 7056 7120 7168 7200 7350 7476 7560 7680 7840 7875 8000 8010 8064 8192 8232 8400 8544 8575 8640 8722 8820 8900 8960 9000 9216 9261 9345 9408 9450 9600 9612 9800 9968 10080 10240 10290 10500 10584 10680 10752 10800 10976 11025 11125 11200 11214 11392 11520 11760 12000 12015 12096 12250 12288 12348 12460 12544 12600 12800 12816 13083 13230 13350 13440 13500 13720 13824 14000 14112 14240 14336 14400 14700 14952 15120 15360 15435 15575 15680 15750 16000 16020 16128 16384 16464 16800 16821 17088 17150 17280 17444 17640 17800 17920 18000 18375 18432 18522 18690 18816 18900 19200 19224 19600 19936 20025 20160 20480 20580 21000 21168 21360 21504 21600 21805 21952 22050 22250 22400 22428 22784 23040 23520 23625 24000 24030 24192 24500 24576 24696 24920 25088 25200 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40315650048000 41155559424000 43213337395200 43899263385600 46094226554880 47034925056000 48014819328000 49386671308800 51215807283200 51791265792000 54016671744000 54874079232000 55313071865856 56441910067200 57617783193600 61458968739840 61733339136000 64019759104000 65848895078400 69141339832320 70552387584000 72022228992000 73165438976000 76823710924800 77686898688000 79018674094080 82311118848000 86426674790400 92188453109760 94069850112000 96029638656000 98773342617600 102431614566400 108033343488000 109748158464000 110626143731712 115235566387200 123466678272000 128039518208000 131697790156800 138282679664640 141104775168000 144044457984000 153647421849600 155373797376000 164622237696000 172853349580800 184376906219520 192059277312000 197546685235200 216066686976000 219496316928000 230471132774400 246933356544000 256079036416000 276565359329280 282209550336000 288088915968000 307294843699200 329244475392000 345706699161600 384118554624000 395093370470400 432133373952000 460942265548800 493866713088000 512158072832000 553130718658560 576177831936000 658488950784000 691413398323200 768237109248000 864266747904000 921884531097600 987733426176000 1152355663872000 1382826796646400 1536474218496000 1728533495808000 1975466852352000 2304711327744000 2765653593292800 3457066991616000 4609422655488000 6914133983232000 13828267966464000
- Sum of all divisors σ(n): 60301340611200000
- Sum of proper divisors (its aliquot sum) s(n): 46473072644736000
- 13828267966464000 is an abundant number, because the sum of its proper divisors (46473072644736000) is greater than itself. Its abundance is 32644804678272000
Bases of 13828267966464000
- Binary: 1100010010000010111100100010000000000000000000000000002
- Hexadecimal: 0x3120BC88000000
- Base-36: 3S5PMLRXMO0
Squares and roots of 13828267966464000
- 13828267966464000 squared (138282679664640002) is 191220994952334409828663296000000
- 13828267966464000 cubed (138282679664640003) is 2644255159014740158011103370837275705344000000000
-
The
square root of 13828267966464000 is 117593656.1488926579 -
The
cube root of 13828267966464000 is 240024.6963386247
Scales and comparisons
How big is 13828267966464000?- 13,828,267,966,464,000 seconds is equal to 439,696,147 years, 36 weeks.
-
To count from 1 to 13,828,267,966,464,000 would take you about one billion, three hundred nineteen million, eighty-eight thousand, four hundred forty-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 13828267966464000 cubic inches would be around 20002.1 feet tall.
Recreational maths with 13828267966464000
- 13828267966464000 backwards is 00046466976282831
- 13828267966464000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13828267966464000's digits is 72
- More coming soon!
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"Number 13828267966464000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 13828267966464000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/13828267966464000/
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The information we have on file for 13828267966464000 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 13828267966464000, math, Factors of 13828267966464000, curriculum, school, college, exams, university, Prime factorization of 13828267966464000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred twenty-eight trillion, two hundred sixty-seven billion, nine hundred sixty-six million, four hundred sixty-four thousand.