428400430848000
428,400,430,848,000 is an even composite number composed of six prime numbers multiplied together.
428400430848000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand and forty-eight divisors.
Prime factorization of 428400430848000:
211 × 36 × 53 × 132 × 172 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 17 × 17 × 47)See below for interesting mathematical facts about the number 428400430848000 from the Numbermatics database.
Names of 428400430848000
- Cardinal: 428400430848000 can be written as Four hundred twenty-eight trillion, four hundred billion, four hundred thirty million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.28400430848 × 1014
Factors of 428400430848000
Divisors of 428400430848000
- Number of divisors d(n): 6048
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 47 48 50 51 52 54 60 64 65 68 72 75 78 80 81 85 90 94 96 100 102 104 108 117 120 125 128 130 135 136 141 144 150 153 156 160 162 169 170 180 188 192 195 200 204 208 216 221 225 234 235 240 243 250 255 256 260 270 272 282 288 289 300 306 312 320 324 325 338 340 351 360 375 376 384 390 400 405 408 416 423 425 432 442 450 459 468 470 480 486 500 507 510 512 520 540 544 564 576 578 585 600 611 612 624 640 648 650 663 675 676 680 702 705 720 729 750 752 765 768 780 799 800 810 816 832 845 846 850 864 867 884 900 918 936 940 960 972 975 1000 1014 1020 1024 1040 1053 1080 1088 1105 1125 1128 1152 1156 1170 1175 1200 1215 1222 1224 1248 1269 1275 1280 1296 1300 1326 1350 1352 1360 1377 1404 1410 1440 1445 1458 1500 1504 1521 1530 1536 1560 1598 1600 1620 1625 1632 1664 1690 1692 1700 1728 1734 1755 1768 1800 1833 1836 1872 1880 1920 1944 1950 1989 2000 2025 2028 2040 2048 2080 2106 2115 2125 2160 2176 2210 2250 2256 2295 2304 2312 2340 2350 2397 2400 2430 2444 2448 2496 2535 2538 2550 2560 2592 2600 2601 2652 2700 2704 2720 2754 2808 2820 2873 2880 2890 2916 2925 3000 3008 3042 3055 3060 3072 3120 3159 3196 3200 3240 3250 3264 3315 3328 3375 3380 3384 3400 3456 3468 3510 3525 3536 3600 3645 3666 3672 3744 3757 3760 3807 3825 3840 3888 3900 3978 3995 4000 4050 4056 4080 4131 4160 4212 4225 4230 4250 4320 4335 4352 4420 4500 4512 4563 4590 4608 4624 4680 4700 4794 4800 4860 4875 4888 4896 4992 5070 5076 5100 5120 5184 5200 5202 5265 5304 5400 5408 5440 5499 5508 5525 5616 5640 5746 5760 5780 5832 5850 5875 5967 6000 6016 6075 6084 6110 6120 6144 6240 6318 6345 6375 6392 6400 6480 6500 6528 6630 6656 6750 6760 6768 6800 6885 6912 6936 7020 7050 7072 7191 7200 7225 7290 7332 7344 7488 7514 7520 7605 7614 7650 7680 7776 7800 7803 7943 7956 7990 8000 8100 8112 8160 8262 8320 8424 8450 8460 8500 8619 8640 8670 8704 8775 8840 9000 9024 9126 9165 9180 9216 9248 9360 9400 9477 9588 9600 9720 9750 9776 9792 9945 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11900011968000 12600012672000 13387513464000 14280014361600 15866682624000 16476939648000 17136017233920 17850017952000 21420021542400 23800023936000 25200025344000 26775026928000 28560028723200 32953879296000 35700035904000 42840043084800 47600047872000 53550053856000 71400071808000 85680086169600 107100107712000 142800143616000 214200215424000 428400430848000
- Sum of all divisors σ(n): 1882909163378880
- Sum of proper divisors (its aliquot sum) s(n): 1454508732530880
- 428400430848000 is an abundant number, because the sum of its proper divisors (1454508732530880) is greater than itself. Its abundance is 1026108301682880
Bases of 428400430848000
- Binary: 11000010110100000101111111000000010011000000000002
- Hexadecimal: 0x185A0BF809800
- Base-36: 47USFVK000
Squares and roots of 428400430848000
- 428400430848000 squared (4284004308480002) is 183526929150752029999104000000
- 428400430848000 cubed (4284004308480003) is 78623015520392540394826774653960192000000000
-
The
square root of 428400430848000 is 20697836.3808394233 -
The
cube root of 428400430848000 is 75384.7154115295
Scales and comparisons
How big is 428400430848000?- 428,400,430,848,000 seconds is equal to 13,621,808 years, 29 weeks, 5 days.
-
To count from 1 to 428,400,430,848,000 would take you about thirty-four million, fifty-four thousand, five hundred twenty-one 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 428400430848000 cubic inches would be around 6282.1 feet tall.
Recreational maths with 428400430848000
- 428400430848000 backwards is 000848034004824
- 428400430848000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428400430848000's digits is 45
- More coming soon!
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"Number 428400430848000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 428400430848000 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/428400430848000/
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The information we have on file for 428400430848000 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 428400430848000, math, Factors of 428400430848000, curriculum, school, college, exams, university, Prime factorization of 428400430848000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, four hundred billion, four hundred thirty million, eight hundred forty-eight thousand.