542282013728000
542,282,013,728,000 is an even composite number composed of seven prime numbers multiplied together.
542282013728000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred eighty-eight divisors.
Prime factorization of 542282013728000:
28 × 53 × 72 × 132 × 172 × 73 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 17 × 17 × 73 × 97)See below for interesting mathematical facts about the number 542282013728000 from the Numbermatics database.
Names of 542282013728000
- Cardinal: 542282013728000 can be written as Five hundred forty-two trillion, two hundred eighty-two billion, thirteen million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 5.42282013728 × 1014
Factors of 542282013728000
Divisors of 542282013728000
- Number of divisors d(n): 3888
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 49 50 52 56 64 65 68 70 73 80 85 91 97 98 100 104 112 119 125 128 130 136 140 146 160 169 170 175 182 194 196 200 208 221 224 238 245 250 256 260 272 280 289 292 320 325 338 340 350 364 365 388 392 400 416 425 442 448 455 476 485 490 500 511 520 544 560 578 584 595 637 640 650 676 679 680 700 728 730 776 784 800 832 833 845 850 875 884 896 910 949 952 970 980 1000 1022 1040 1088 1105 1120 1156 1168 1183 1190 1225 1241 1261 1274 1280 1300 1352 1358 1360 1400 1445 1456 1460 1547 1552 1568 1600 1625 1649 1664 1666 1690 1700 1750 1768 1792 1820 1825 1898 1904 1940 1960 2000 2023 2044 2080 2125 2176 2210 2240 2275 2312 2336 2366 2380 2425 2450 2482 2522 2548 2555 2600 2704 2716 2720 2800 2873 2890 2912 2920 2975 3094 3104 3136 3185 3200 3250 3298 3328 3332 3380 3395 3400 3500 3536 3577 3640 3650 3757 3796 3808 3880 3920 4000 4046 4088 4160 4165 4225 4250 4352 4420 4480 4550 4624 4672 4732 4745 4753 4760 4850 4900 4964 5044 5096 5110 5200 5408 5432 5440 5525 5600 5746 5780 5824 5840 5915 5950 6125 6188 6205 6208 6272 6305 6370 6400 6500 6596 6643 6664 6760 6790 6800 7000 7072 7081 7154 7225 7280 7300 7514 7592 7616 7735 7760 7840 8000 8092 8176 8245 8281 8320 8330 8450 8500 8687 8827 8840 8960 9100 9125 9248 9344 9464 9490 9506 9520 9700 9800 9928 10088 10115 10192 10220 10400 10816 10829 10864 10880 11050 11200 11375 11492 11543 11560 11648 11680 11830 11900 12125 12250 12337 12376 12410 12416 12544 12610 12740 12775 13000 13192 13286 13328 13520 13580 13600 14000 14144 14161 14162 14308 14365 14450 14560 14600 14875 15028 15184 15232 15470 15520 15680 15925 16000 16133 16184 16352 16393 16490 16562 16640 16660 16900 16975 17000 17374 17654 17680 17885 18200 18250 18496 18688 18785 18928 18980 19012 19040 19400 19600 19856 20111 20176 20230 20384 20440 20800 20825 21097 21125 21437 21632 21658 21728 21760 22100 22400 22750 22984 23086 23120 23296 23360 23660 23725 23765 23800 24250 24500 24674 24752 24820 24832 25220 25480 25550 26000 26299 26384 26572 26656 27040 27160 27200 27625 28000 28033 28288 28322 28324 28616 28730 28900 29120 29200 29575 29750 30056 30368 30464 30940 31025 31040 31360 31525 31850 32000 32266 32368 32704 32786 32980 33124 33215 33320 33800 33950 34000 34748 35308 35360 35405 35770 36125 36400 36500 36992 37570 37856 37960 38024 38080 38675 38800 39200 39712 40222 40352 40460 40768 40880 41225 41405 41600 41650 42194 42250 42874 43264 43316 43435 43456 44135 44200 44800 45500 45968 46172 46240 46501 46720 47320 47450 47530 47600 48500 48841 49000 49348 49504 49567 49640 50440 50575 50960 51100 52000 52598 52768 53144 53312 54080 54145 54320 54400 55250 56000 56066 56576 56644 56648 57232 57460 57715 57800 58240 58400 59150 59500 60112 60736 60809 61685 61789 61880 62050 62080 62720 63050 63700 63875 64532 64736 65408 65572 65960 66248 66430 66640 67600 67900 68000 69496 70616 70720 70805 70810 71540 71825 72250 72800 73000 73984 75140 75712 75920 76048 76160 77350 77600 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4841803694000 5214250132000 5422820137280 5533489936000 5590536224000 5959143008000 6379788396800 6778525171600 7428520736000 7746885910400 7974735496000 8342800211200 8473156464500 9683607388000 10428500264000 10845640274560 11066979872000 13557050343200 15493771820800 15949470992000 16946312929000 19367214776000 20857000528000 21691280549120 27114100686400 31898941984000 33892625858000 38734429552000 41714001056000 54228201372800 67785251716000 77468859104000 108456402745600 135570503432000 271141006864000 542282013728000
- Sum of all divisors σ(n): 1851260841100944
- Sum of proper divisors (its aliquot sum) s(n): 1308978827372944
- 542282013728000 is an abundant number, because the sum of its proper divisors (1308978827372944) is greater than itself. Its abundance is 766696813644944
Bases of 542282013728000
- Binary: 11110110100110011110111101100101111011101000000002
- Hexadecimal: 0x1ED33DECBDD00
- Base-36: 5C80X1O0E8
Squares and roots of 542282013728000
- 542282013728000 squared (5422820137280002) is 294069782412894780457984000000
- 542282013728000 cubed (5422820137280003) is 159468753783419380300536025615204352000000000
-
The
square root of 542282013728000 is 23286949.4294121747 -
The
cube root of 542282013728000 is 81547.0772577611
Scales and comparisons
How big is 542282013728000?- 542,282,013,728,000 seconds is equal to 17,242,890 years, 33 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 542,282,013,728,000 would take you about forty-three million, one hundred seven thousand, two hundred twenty-six 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 542282013728000 cubic inches would be around 6795.6 feet tall.
Recreational maths with 542282013728000
- 542282013728000 backwards is 000827310282245
- The number of decimal digits it has is: 15
- The sum of 542282013728000's digits is 44
- More coming soon!
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Cite this page
MLA style:
"Number 542282013728000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 542282013728000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/542282013728000/
Chicago style:
Numbermatics. 2024. "Number 542282013728000 - Facts about the integer". https://numbermatics.com/n/542282013728000/
The information we have on file for 542282013728000 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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