1328091088896000
1,328,091,088,896,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1328091088896000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3840 divisors.
1328091088896000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 1328091088896000:
214 × 33 × 53 × 11 × 13 × 53 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 53 × 3169)See below for interesting mathematical facts about the number 1328091088896000 from the Numbermatics database.
Names of 1328091088896000
- Cardinal: 1328091088896000 can be written as One quadrillion, three hundred twenty-eight trillion, ninety-one billion, eighty-eight million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.328091088896 × 1015
Factors of 1328091088896000
Divisors of 1328091088896000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 53 54 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 106 108 110 117 120 125 128 130 132 135 143 144 150 156 159 160 165 176 180 192 195 198 200 208 212 216 220 225 234 240 250 256 260 264 265 270 275 286 288 297 300 312 318 320 325 330 351 352 360 375 384 390 396 400 416 424 429 432 440 450 468 477 480 495 500 512 520 528 530 540 550 572 576 583 585 594 600 624 636 640 650 660 675 689 702 704 715 720 750 768 780 792 795 800 825 832 848 858 864 880 900 936 954 960 975 990 1000 1024 1040 1056 1060 1080 1100 1125 1144 1152 1166 1170 1188 1200 1248 1272 1280 1287 1300 1320 1325 1350 1375 1378 1404 1408 1430 1431 1440 1485 1500 1536 1560 1584 1590 1600 1625 1650 1664 1696 1716 1728 1749 1755 1760 1800 1872 1908 1920 1950 1980 2000 2048 2067 2080 2112 2120 2145 2160 2200 2250 2288 2304 2332 2340 2376 2385 2400 2475 2496 2544 2560 2574 2600 2640 2650 2700 2750 2756 2808 2816 2860 2862 2880 2915 2925 2970 3000 3072 3120 3168 3169 3180 3200 3250 3300 3328 3375 3392 3432 3445 3456 3498 3510 3520 3575 3600 3744 3816 3840 3861 3900 3960 3975 4000 4096 4125 4134 4160 4224 4240 4290 4320 4400 4500 4576 4608 4664 4680 4752 4770 4800 4875 4950 4992 5088 5120 5148 5200 5247 5280 5300 5400 5500 5512 5616 5632 5720 5724 5760 5830 5850 5940 6000 6144 6201 6240 6336 6338 6360 6400 6435 6500 6600 6625 6656 6750 6784 6864 6890 6912 6996 7020 7040 7150 7155 7200 7425 7488 7579 7632 7680 7722 7800 7920 7950 8000 8192 8250 8268 8320 8448 8480 8580 8640 8745 8775 8800 9000 9152 9216 9328 9360 9504 9507 9540 9600 9750 9900 9984 10176 10240 10296 10335 10400 10494 10560 10600 10725 10800 11000 11024 11232 11264 11440 11448 11520 11660 11700 11880 11925 12000 12288 12375 12402 12480 12672 12676 12720 12800 12870 13000 13200 13250 13312 13500 13568 13728 13780 13824 13992 14040 14080 14300 14310 14400 14575 14625 14850 14976 15158 15264 15360 15444 15600 15741 15840 15845 15900 16000 16384 16500 16536 16640 16896 16960 17160 17225 17280 17490 17550 17600 17875 18000 18304 18432 18603 18656 18720 19008 19014 19080 19200 19305 19500 19800 19875 19968 20352 20480 20592 20670 20800 20988 21120 21200 21450 21600 22000 22048 22464 22528 22737 22880 22896 23040 23320 23400 23760 23850 24000 24576 24750 24804 24960 25344 25352 25440 25600 25740 26000 26235 26400 26500 26624 27000 27136 27456 27560 27648 27984 28080 28160 28521 28600 28620 28800 29150 29250 29700 29952 30316 30528 30720 30888 31005 31200 31482 31680 31690 31800 32000 32175 33000 33072 33280 33792 33920 34320 34450 34560 34859 34980 35100 35200 35750 35775 36000 36608 36864 37125 37206 37312 37440 37895 38016 38028 38160 38400 38610 39000 39600 39750 39936 40704 40960 41184 41197 41340 41600 41976 42240 42400 42900 43200 43725 43875 44000 44096 44928 45056 45474 45760 45792 46080 46640 46800 47520 47535 47700 48000 49152 49500 49608 49920 50688 50704 50880 51200 51480 51675 52000 52470 52800 53000 53248 53625 54000 54272 54912 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10375711632000 10624728711168 11067425740800 11351205888000 12073555353600 12297139712000 12529161216000 12770106624000 13280910888960 13415061504000 13834282176000 14756567654400 15091944192000 16601138611200 17026808832000 17707881185280 18445709568000 20122592256000 20432170598400 20751423264000 22134851481600 24147110707200 24594279424000 25058322432000 25540213248000 26561821777920 27668564352000 29513135308800 30183888384000 33202277222400 34053617664000 36891419136000 40245184512000 41502846528000 44269702963200 49188558848000 51080426496000 53123643555840 55337128704000 60367776768000 66404554444800 73782838272000 83005693056000 88539405926400 102160852992000 110674257408000 120735553536000 132809108889600 147565676544000 166011386112000 221348514816000 265618217779200 332022772224000 442697029632000 664045544448000 1328091088896000
- Sum of all divisors σ(n): 5880084600499200
- Sum of proper divisors (its aliquot sum) s(n): 4551993511603200
- 1328091088896000 is an abundant number, because the sum of its proper divisors (4551993511603200) is greater than itself. Its abundance is 3223902422707200
Bases of 1328091088896000
- Binary: 1001011011111100100010011011001010101000000000000002
- Hexadecimal: 0x4B7E44D954000
- Base-36: D2ROMG16O0
Squares and roots of 1328091088896000
- 1328091088896000 squared (13280910888960002) is 1763825940404962974498816000000
- 1328091088896000 cubed (13280910888960003) is 2342521513815438480004695621302747136000000000
-
The
square root of 1328091088896000 is 36442984.0833047041 -
The
cube root of 1328091088896000 is 109919.8062581205
Scales and comparisons
How big is 1328091088896000?- 1,328,091,088,896,000 seconds is equal to 42,229,188 years, 29 weeks, 5 days.
-
To count from 1 to 1,328,091,088,896,000 would take you about one hundred twenty-six million, six hundred eighty-seven thousand, five hundred sixty-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 1328091088896000 cubic inches would be around 9160 feet tall.
Recreational maths with 1328091088896000
- 1328091088896000 backwards is 0006988801908231
- The number of decimal digits it has is: 16
- The sum of 1328091088896000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 1328091088896000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 1328091088896000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/1328091088896000/
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Numbermatics. 2024. "Number 1328091088896000 - Facts about the integer". https://numbermatics.com/n/1328091088896000/
The information we have on file for 1328091088896000 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 1328091088896000, math, Factors of 1328091088896000, curriculum, school, college, exams, university, Prime factorization of 1328091088896000, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, three hundred twenty-eight trillion, ninety-one billion, eighty-eight million, eight hundred ninety-six thousand.