428145136742912000
428,145,136,742,912,000 is an even composite number composed of eight prime numbers multiplied together.
428145136742912000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, three hundred twenty-eight divisors.
Prime factorization of 428145136742912000:
212 × 53 × 23 × 29 × 43 × 67 × 113 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 23 × 29 × 43 × 67 × 113 × 3851)See below for interesting mathematical facts about the number 428145136742912000 from the Numbermatics database.
Names of 428145136742912000
- Cardinal: 428145136742912000 can be written as Four hundred twenty-eight quadrillion, one hundred forty-five trillion, one hundred thirty-six billion, seven hundred forty-two million, nine hundred twelve thousand.
Scientific notation
- Scientific notation: 4.28145136742912 × 1017
Factors of 428145136742912000
Divisors of 428145136742912000
- Number of divisors d(n): 3328
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Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 29 32 40 43 46 50 58 64 67 80 86 92 100 113 115 116 125 128 134 145 160 172 184 200 215 226 230 232 250 256 268 290 320 335 344 368 400 430 452 460 464 500 512 536 565 575 580 640 667 670 688 725 736 800 860 904 920 928 989 1000 1024 1072 1075 1130 1150 1160 1247 1280 1334 1340 1376 1450 1472 1541 1600 1675 1720 1808 1840 1856 1943 1978 2000 2048 2144 2150 2260 2300 2320 2494 2560 2599 2668 2680 2752 2825 2875 2881 2900 2944 3082 3200 3277 3335 3350 3440 3616 3625 3680 3712 3851 3886 3956 4000 4096 4288 4300 4520 4600 4640 4859 4945 4988 5120 5198 5336 5360 5375 5504 5650 5750 5762 5800 5888 6164 6235 6400 6554 6670 6700 6880 7232 7250 7360 7424 7571 7702 7705 7772 7912 8000 8375 8576 8600 9040 9200 9280 9715 9718 9890 9976 10240 10396 10672 10720 10750 11008 11300 11500 11524 11600 11776 12328 12470 12800 12995 13108 13340 13400 13760 14125 14405 14464 14500 14720 14848 15142 15404 15410 15544 15824 16000 16385 16675 16750 17152 17200 18080 18400 18560 19255 19430 19436 19780 19952 20480 20792 21344 21440 21500 22016 22600 23000 23048 23200 23552 24295 24656 24725 24940 25600 25990 26216 26680 26800 27520 28250 28681 28810 28928 29000 29440 29696 30284 30808 30820 31088 31175 31648 32000 32770 33350 33500 34304 34400 36160 36800 37120 37855 38510 38525 38860 38872 39560 39904 41584 42688 42880 43000 44032 44689 45200 46000 46096 46400 47104 48575 48590 49312 49450 49880 51200 51980 52432 53360 53600 55040 56500 57362 57620 57856 58000 58880 59392 60568 61616 61640 62176 62350 63296 64000 64975 65540 66263 66700 67000 68608 68800 72025 72320 73600 74240 75371 75710 77020 77050 77720 77744 79120 79808 81925 83168 83375 83549 85376 85760 86000 88064 88573 89378 90400 92000 92192 92800 94208 96275 97150 97180 98624 98900 99760 102400 103960 104864 106720 107200 110080 111679 111757 113000 114724 115240 115712 116000 117760 118784 121136 121475 123232 123280 123625 124352 124700 126592 128000 129950 131080 132526 133400 134000 137216 137600 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4281451367429120 4653751486336000 4978431822592000 5351814209286400 6390225921536000 6689767761608000 7381812702464000 8562902734858240 9307502972672000 9956863645184000 10703628418572800 13379535523216000 14763625404928000 17125805469716480 18615005945344000 21407256837145600 26759071046432000 42814513674291200 53518142092864000 85629027348582400 107036284185728000 214072568371456000 428145136742912000
- Sum of all divisors σ(n): 1208778535907205120
- Sum of proper divisors (its aliquot sum) s(n): 780633399164293120
- 428145136742912000 is an abundant number, because the sum of its proper divisors (780633399164293120) is greater than itself. Its abundance is 352488262421381120
Bases of 428145136742912000
- Binary: 101111100010001001110111011110000111101111101010000000000002
- Hexadecimal: 0x5F113BBC3DF5000
- Base-36: 393OS8ISVUGW
Squares and roots of 428145136742912000
- 428145136742912000 squared (4281451367429120002) is 183308258116606815103982239744000000
- 428145136742912000 cubed (4281451367429120003) is 78482539237439633365145932399309138876694528000000000
-
The
square root of 428145136742912000 is 654328003.9421452121 -
The
cube root of 428145136742912000 is 753697.3791520811
Scales and comparisons
How big is 428145136742912000?- 428,145,136,742,912,000 seconds is equal to 13,613,691,008 years, 29 weeks, 2 days, 53 minutes, 20 seconds.
-
To count from 1 to 428,145,136,742,912,000 would take you about forty billion, eight hundred forty-one million, seventy-three thousand and twenty-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 428145136742912000 cubic inches would be around 62808.1 feet tall.
Recreational maths with 428145136742912000
- 428145136742912000 backwards is 000219247631541824
- The number of decimal digits it has is: 18
- The sum of 428145136742912000's digits is 59
- More coming soon!
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"Number 428145136742912000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 428145136742912000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/428145136742912000/
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Numbermatics. 2024. "Number 428145136742912000 - Facts about the integer". https://numbermatics.com/n/428145136742912000/
The information we have on file for 428145136742912000 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 428145136742912000, math, Factors of 428145136742912000, curriculum, school, college, exams, university, Prime factorization of 428145136742912000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, one hundred forty-five trillion, one hundred thirty-six billion, seven hundred forty-two million, nine hundred twelve thousand.