428289120
428,289,120 is an even composite number composed of five prime numbers multiplied together.
428289120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 428289120:
25 × 34 × 5 × 7 × 4721
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 4721)See below for interesting mathematical facts about the number 428289120 from the Numbermatics database.
Names of 428289120
- Cardinal: 428289120 can be written as Four hundred twenty-eight million, two hundred eighty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2828912 × 108
Factors of 428289120
Divisors of 428289120
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 70 72 80 81 84 90 96 105 108 112 120 126 135 140 144 160 162 168 180 189 210 216 224 240 252 270 280 288 315 324 336 360 378 405 420 432 480 504 540 560 567 630 648 672 720 756 810 840 864 945 1008 1080 1120 1134 1260 1296 1440 1512 1620 1680 1890 2016 2160 2268 2520 2592 2835 3024 3240 3360 3780 4320 4536 4721 5040 5670 6048 6480 7560 9072 9442 10080 11340 12960 14163 15120 18144 18884 22680 23605 28326 30240 33047 37768 42489 45360 47210 56652 66094 70815 75536 84978 90720 94420 99141 113304 127467 132188 141630 151072 165235 169956 188840 198282 212445 226608 254934 264376 283260 297423 330470 339912 377680 382401 396564 424890 453216 495705 509868 528752 566520 594846 637335 660940 679824 755360 764802 793128 849780 892269 991410 1019736 1057504 1133040 1189692 1274670 1321880 1359648 1487115 1529604 1586256 1699560 1784538 1912005 1982820 2039472 2266080 2379384 2549340 2643760 2676807 2974230 3059208 3172512 3399120 3569076 3824010 3965640 4078944 4461345 4758768 5098680 5287520 5353614 5948460 6118416 6798240 7138152 7648020 7931280 8922690 9517536 10197360 10707228 11896920 12236832 13384035 14276304 15296040 15862560 17845380 20394720 21414456 23793840 26768070 28552608 30592080 35690760 42828912 47587680 53536140 61184160 71381520 85657824 107072280 142763040 214144560 428289120
- Sum of all divisors σ(n): 1727798688
- Sum of proper divisors (its aliquot sum) s(n): 1299509568
- 428289120 is an abundant number, because the sum of its proper divisors (1299509568) is greater than itself. Its abundance is 871220448
Bases of 428289120
- Binary: 110011000011100101100011000002
- Hexadecimal: 0x19872C60
- Base-36: 72ZQ00
Squares and roots of 428289120
- 428289120 squared (4282891202) is 183431570310374400
- 428289120 cubed (4282891203) is 78561745828448378646528000
-
The
square root of 428289120 is 20695.1472572679 -
The
cube root of 428289120 is 753.7818580133
Scales and comparisons
How big is 428289120?- 428,289,120 seconds is equal to 13 years, 32 weeks, 1 day, 1 hour, 12 minutes.
-
To count from 1 to 428,289,120 would take you about twenty 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 428289120 cubic inches would be around 62.8 feet tall.
Recreational maths with 428289120
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Numbermatics. (2024). Number 428289120 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/428289120/
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