3828839568008000
3,828,839,568,008,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 3828839568008000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
3828839568008000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 3828839568008000:
26 × 53 × 7 × 132 × 67 × 73 × 181 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 13 × 67 × 73 × 181 × 457)See below for interesting mathematical facts about the number 3828839568008000 from the Numbermatics database.
Names of 3828839568008000
- Cardinal: 3828839568008000 can be written as Three quadrillion, eight hundred twenty-eight trillion, eight hundred thirty-nine billion, five hundred sixty-eight million, eight thousand.
Scientific notation
- Scientific notation: 3.828839568008 × 1015
Factors of 3828839568008000
Divisors of 3828839568008000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 67 70 73 80 91 100 104 112 125 130 134 140 146 160 169 175 181 182 200 208 224 250 260 268 280 292 320 325 335 338 350 362 364 365 400 416 448 455 457 469 500 511 520 536 560 584 650 670 676 700 724 728 730 800 832 845 871 875 905 910 914 938 949 1000 1022 1040 1072 1120 1168 1183 1267 1300 1340 1352 1400 1448 1456 1460 1600 1625 1675 1690 1742 1750 1810 1820 1825 1828 1876 1898 2000 2044 2080 2144 2240 2275 2285 2336 2345 2353 2366 2534 2555 2600 2680 2704 2800 2896 2912 2920 3199 3250 3350 3380 3484 3500 3620 3640 3650 3656 3752 3796 4000 4088 4160 4225 4288 4355 4525 4550 4570 4672 4690 4706 4732 4745 4891 5068 5110 5200 5360 5408 5600 5792 5824 5840 5915 5941 6097 6335 6398 6500 6643 6700 6760 6968 7000 7240 7280 7300 7312 7504 7592 8000 8176 8375 8450 8710 9050 9100 9125 9140 9380 9412 9464 9490 9782 10136 10220 10400 10720 10816 11200 11323 11375 11425 11584 11680 11725 11765 11830 11882 12127 12194 12337 12670 12775 12796 13000 13213 13286 13400 13520 13936 14000 14480 14560 14600 14624 15008 15184 15995 16352 16471 16750 16900 17420 18100 18200 18250 18280 18760 18824 18928 18980 19564 20272 20440 20800 21125 21440 21775 22625 22646 22750 22850 23360 23450 23530 23660 23725 23764 24254 24388 24455 24674 25340 25550 25592 26000 26426 26572 26800 27040 27872 28000 28960 29120 29200 29248 29575 29705 30016 30368 30485 30589 30619 31675 31990 32704 32942 33215 33361 33500 33800 34237 34840 36200 36400 36500 36560 37520 37648 37856 37960 39128 40544 40880 41587 42250 43550 45250 45292 45500 45700 46900 47060 47320 47450 47528 48508 48776 48910 49348 50680 51100 51184 52000 52852 53144 53600 54080 55744 56000 56615 57125 57920 58400 58625 58825 59150 59410 60635 60736 60970 61178 61238 61685 63350 63583 63875 63980 65884 66065 66430 66722 67000 67600 68474 69680 72400 72800 73000 73120 75040 75296 75712 75920 77233 78256 79261 79975 81088 81760 82355 82717 83174 84500 84889 86359 87100 90500 90584 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6556232137000 6837213514300 7143357403000 7363153015400 7492836728000 7657679136016 8163837032000 8378204744000 8415032017600 8546516892875 9203941269250 9572098920020 10489971419200 10518790022000 10576904884000 10939541622880 11327927716000 11429371844800 11781044824640 11965123650025 13112464274000 13674427028600 14286714806000 14726306030800 15315358272032 17093033785750 18407882538500 19144197840040 21037580044000 21153809768000 21879083245760 22655855432000 23930247300050 26224928548000 27348854057200 28573429612000 29452612061600 30630716544064 34186067571500 36815765077000 38288395680080 42075160088000 47860494600100 52449857096000 54697708114400 57146859224000 58905224123200 59825618250125 68372135143000 73631530154000 76576791360160 95720989200200 109395416228800 119651236500250 136744270286000 147263060308000 153153582720320 191441978400400 239302473000500 273488540572000 294526120616000 382883956800800 478604946001000 546977081144000 765767913601600 957209892002000 1914419784004000 3828839568008000
- Sum of all divisors σ(n): 12165974293165056
- Sum of proper divisors (its aliquot sum) s(n): 8337134725157056
- 3828839568008000 is an abundant number, because the sum of its proper divisors (8337134725157056) is greater than itself. Its abundance is 4508295157149056
Bases of 3828839568008000
- Binary: 11011001101001001111001011100101101001100011010000002
- Hexadecimal: 0xD9A4F2E5A6340
- Base-36: 11P7KM530OW
Squares and roots of 3828839568008000
- 3828839568008000 squared (38288395680080002) is 14660012437543688057088064000000
- 3828839568008000 cubed (38288395680080003) is 56130835688356681661128171808173056512000000000
-
The
square root of 3828839568008000 is 61877617.6659056581 -
The
cube root of 3828839568008000 is 156442.8514438597
Scales and comparisons
How big is 3828839568008000?- 3,828,839,568,008,000 seconds is equal to 121,745,254 years, 45 weeks, 6 days, 20 hours, 53 minutes, 20 seconds.
-
To count from 1 to 3,828,839,568,008,000 would take you about three hundred sixty-five million, two hundred thirty-five thousand, seven hundred sixty-four 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 3828839568008000 cubic inches would be around 13036.9 feet tall.
Recreational maths with 3828839568008000
- 3828839568008000 backwards is 0008008659388283
- The number of decimal digits it has is: 16
- The sum of 3828839568008000's digits is 68
- More coming soon!
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"Number 3828839568008000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 3828839568008000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/3828839568008000/
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The information we have on file for 3828839568008000 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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