428188800
428,188,800 is an even composite number composed of six prime numbers multiplied together.
428188800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 428188800:
27 × 3 × 52 × 13 × 47 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 47 × 73)See below for interesting mathematical facts about the number 428188800 from the Numbermatics database.
Names of 428188800
- Cardinal: 428188800 can be written as Four hundred twenty-eight million, one hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.281888 × 108
Factors of 428188800
Divisors of 428188800
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 47 48 50 52 60 64 65 73 75 78 80 94 96 100 104 120 128 130 141 146 150 156 160 188 192 195 200 208 219 235 240 260 282 292 300 312 320 325 365 376 384 390 400 416 438 470 480 520 564 584 600 611 624 640 650 705 730 752 780 800 832 876 940 949 960 975 1040 1095 1128 1168 1175 1200 1222 1248 1300 1410 1460 1504 1560 1600 1664 1752 1825 1833 1880 1898 1920 1950 2080 2190 2256 2336 2350 2400 2444 2496 2600 2820 2847 2920 3008 3055 3120 3200 3431 3504 3525 3650 3666 3760 3796 3900 4160 4380 4512 4672 4700 4745 4800 4888 4992 5200 5475 5640 5694 5840 6016 6110 6240 6862 7008 7050 7300 7332 7520 7592 7800 8320 8760 9024 9165 9344 9400 9490 9600 9776 10293 10400 10950 11280 11388 11680 12220 12480 13724 14016 14100 14235 14600 14664 15040 15184 15275 15600 17155 17520 18048 18330 18800 18980 19552 20586 20800 21900 22560 22776 23360 23725 24440 24960 27448 28032 28200 28470 29200 29328 30080 30368 30550 31200 34310 35040 36660 37600 37960 39104 41172 41600 43800 44603 45120 45552 45825 46720 47450 48880 51465 54896 56400 56940 58400 58656 60736 61100 62400 68620 70080 71175 73320 75200 75920 78208 82344 85775 87600 89206 90240 91104 91650 94900 97760 102930 109792 112800 113880 116800 117312 121472 122200 124800 133809 137240 140160 142350 146640 150400 151840 164688 171550 175200 178412 182208 183300 189800 195520 205860 219584 223015 225600 227760 233600 234624 244400 257325 267618 274480 284700 293280 303680 329376 343100 350400 356824 364416 366600 379600 391040 411720 439168 446030 451200 455520 488800 514650 535236 548960 569400 586560 607360 658752 669045 686200 700800 713648 733200 759200 823440 892060 911040 977600 1029300 1070472 1097920 1115075 1138800 1173120 1317504 1338090 1372400 1427296 1466400 1518400 1646880 1784120 1822080 1955200 2058600 2140944 2195840 2230150 2277600 2676180 2744800 2854592 2932800 3036800 3293760 3345225 3568240 4117200 4281888 4460300 4555200 5352360 5489600 5709184 5865600 6587520 6690450 7136480 8234400 8563776 8920600 9110400 10704720 10979200 13380900 14272960 16468800 17127552 17841200 21409440 26761800 28545920 32937600 35682400 42818880 53523600 71364800 85637760 107047200 142729600 214094400 428188800
- Sum of all divisors σ(n): 1572399360
- Sum of proper divisors (its aliquot sum) s(n): 1144210560
- 428188800 is an abundant number, because the sum of its proper divisors (1144210560) is greater than itself. Its abundance is 716021760
Bases of 428188800
- Binary: 110011000010110100100100000002
- Hexadecimal: 0x1985A480
- Base-36: 72XKLC
Squares and roots of 428188800
- 428188800 squared (4281888002) is 183345648445440000
- 428188800 cubed (4281888003) is 78506553193074819072000000
-
The
square root of 428188800 is 20692.7233587075 -
The
cube root of 428188800 is 753.7229995637
Scales and comparisons
How big is 428188800?- 428,188,800 seconds is equal to 13 years, 31 weeks, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 428,188,800 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 428188800 cubic inches would be around 62.8 feet tall.
Recreational maths with 428188800
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