428198400
428,198,400 is an even composite number composed of five prime numbers multiplied together.
428198400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred divisors.
Prime factorization of 428198400:
29 × 34 × 52 × 7 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 59)See below for interesting mathematical facts about the number 428198400 from the Numbermatics database.
Names of 428198400
- Cardinal: 428198400 can be written as Four hundred twenty-eight million, one hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.281984 × 108
Factors of 428198400
Divisors of 428198400
- Number of divisors d(n): 600
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 59 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 118 120 126 128 135 140 144 150 160 162 168 175 177 180 189 192 200 210 216 224 225 236 240 252 256 270 280 288 295 300 315 320 324 336 350 354 360 378 384 400 405 413 420 432 448 450 472 480 504 512 525 531 540 560 567 576 590 600 630 640 648 672 675 700 708 720 756 768 800 810 826 840 864 885 896 900 944 945 960 1008 1050 1062 1080 1120 1134 1152 1180 1200 1239 1260 1280 1296 1344 1350 1400 1416 1440 1475 1512 1536 1575 1593 1600 1620 1652 1680 1728 1770 1792 1800 1888 1890 1920 2016 2025 2065 2100 2124 2160 2240 2268 2304 2360 2400 2478 2520 2560 2592 2655 2688 2700 2800 2832 2835 2880 2950 3024 3150 3186 3200 3240 3304 3360 3456 3540 3584 3600 3717 3776 3780 3840 4032 4050 4130 4200 4248 4320 4425 4480 4536 4608 4720 4725 4779 4800 4956 5040 5184 5310 5376 5400 5600 5664 5670 5760 5900 6048 6195 6300 6372 6400 6480 6608 6720 6912 7080 7200 7434 7552 7560 7680 7965 8064 8100 8260 8400 8496 8640 8850 8960 9072 9440 9450 9558 9600 9912 10080 10325 10368 10620 10752 10800 11151 11200 11328 11340 11520 11800 12096 12390 12600 12744 12800 12960 13216 13275 13440 13824 14160 14175 14400 14868 15104 15120 15930 16128 16200 16520 16800 16992 17280 17700 17920 18144 18585 18880 18900 19116 19200 19824 20160 20650 20736 21240 21600 22302 22400 22656 22680 23040 23600 23895 24192 24780 25200 25488 25920 26432 26550 26880 28320 28350 28800 29736 30208 30240 30975 31860 32256 32400 33040 33453 33600 33984 34560 35400 36288 37170 37760 37800 38232 38400 39648 39825 40320 41300 41472 42480 43200 44604 44800 45312 45360 47200 47790 48384 49560 50400 50976 51840 52864 53100 53760 55755 56640 56700 57600 59472 60480 61950 63720 64800 66080 66906 67200 67968 69120 70800 72576 74340 75520 75600 76464 79296 79650 80640 82600 84960 86400 89208 89600 90624 90720 92925 94400 95580 96768 99120 100800 101952 103680 105728 106200 111510 113280 113400 115200 118944 119475 120960 123900 127440 129600 132160 133812 134400 135936 141600 145152 148680 151040 151200 152928 158592 159300 161280 165200 167265 169920 172800 178416 181440 185850 188800 191160 198240 201600 203904 207360 211456 212400 223020 226560 226800 237888 238950 241920 247800 254880 259200 264320 267624 268800 271872 278775 283200 290304 297360 302400 305856 317184 318600 330400 334530 339840 345600 356832 362880 371700 377600 382320 396480 403200 407808 424800 446040 453120 453600 475776 477900 483840 495600 509760 518400 528640 535248 557550 566400 594720 604800 611712 634368 637200 660800 669060 679680 713664 725760 743400 755200 764640 792960 806400 815616 836325 849600 892080 907200 951552 955800 991200 1019520 1036800 1057280 1070496 1115100 1132800 1189440 1209600 1223424 1274400 1321600 1338120 1359360 1427328 1451520 1486800 1529280 1585920 1672650 1699200 1784160 1814400 1903104 1911600 1982400 2039040 2140992 2230200 2265600 2378880 2419200 2446848 2548800 2643200 2676240 2854656 2973600 3058560 3171840 3345300 3398400 3568320 3628800 3823200 3964800 4078080 4281984 4460400 4757760 5097600 5286400 5352480 5709312 5947200 6117120 6690600 6796800 7136640 7257600 7646400 7929600 8563968 8920800 9515520 10195200 10704960 11894400 12234240 13381200 14273280 15292800 15859200 17127936 17841600 20390400 21409920 23788800 26762400 28546560 30585600 35683200 42819840 47577600 53524800 61171200 71366400 85639680 107049600 142732800 214099200 428198400
- Sum of all divisors σ(n): 1841891040
- Sum of proper divisors (its aliquot sum) s(n): 1413692640
- 428198400 is an abundant number, because the sum of its proper divisors (1413692640) is greater than itself. Its abundance is 985494240
Bases of 428198400
- Binary: 110011000010111001010000000002
- Hexadecimal: 0x1985CA00
- Base-36: 72XS00
Squares and roots of 428198400
- 428198400 squared (4281984002) is 183353869762560000
- 428198400 cubed (4281984003) is 78511833666136571904000000
-
The
square root of 428198400 is 20692.9553230079 -
The
cube root of 428198400 is 753.7286323489
Scales and comparisons
How big is 428198400?- 428,198,400 seconds is equal to 13 years, 32 weeks.
-
To count from 1 to 428,198,400 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 428198400 cubic inches would be around 62.8 feet tall.
Recreational maths with 428198400
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 428198400 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 428198400 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/428198400/
Chicago style:
Numbermatics. 2024. "Number 428198400 - Facts about the integer". https://numbermatics.com/n/428198400/
The information we have on file for 428198400 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 428198400, math, Factors of 428198400, curriculum, school, college, exams, university, Prime factorization of 428198400, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight million, one hundred ninety-eight thousand, four hundred.