428990100
428,990,100 is an even composite number composed of six prime numbers multiplied together.
428990100 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 428990100:
22 × 3 × 52 × 73 × 11 × 379
(2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 11 × 379)See below for interesting mathematical facts about the number 428990100 from the Numbermatics database.
Names of 428990100
- Cardinal: 428990100 can be written as Four hundred twenty-eight million, nine hundred ninety thousand, one hundred.
Scientific notation
- Scientific notation: 4.289901 × 108
Factors of 428990100
Divisors of 428990100
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 49 50 55 60 66 70 75 77 84 98 100 105 110 132 140 147 150 154 165 175 196 210 220 231 245 275 294 300 308 330 343 350 379 385 420 462 490 525 539 550 588 660 686 700 735 758 770 825 924 980 1029 1050 1078 1100 1137 1155 1225 1372 1470 1516 1540 1617 1650 1715 1895 1925 2058 2100 2156 2274 2310 2450 2653 2695 2940 3234 3300 3430 3675 3773 3790 3850 4116 4169 4548 4620 4900 5145 5306 5390 5685 5775 6468 6860 7350 7546 7580 7700 7959 8085 8338 8575 9475 10290 10612 10780 11319 11370 11550 12507 13265 13475 14700 15092 15918 16170 16676 17150 18571 18865 18950 20580 20845 22638 22740 23100 25014 25725 26530 26950 28425 29183 31836 32340 34300 37142 37730 37900 39795 40425 41690 45276 50028 51450 53060 53900 55713 56595 56850 58366 62535 66325 74284 75460 79590 80850 83380 87549 92855 94325 102900 104225 111426 113190 113700 116732 125070 129997 132650 145915 159180 161700 175098 185710 188650 198975 204281 208450 222852 226380 250140 259994 265300 278565 282975 291830 312675 350196 371420 377300 389991 397950 408562 416900 437745 464275 519988 557130 565950 583660 612843 625350 649985 729575 779982 795900 817124 875490 928550 1021405 1114260 1131900 1225686 1250700 1299970 1392825 1429967 1459150 1559964 1750980 1857100 1949955 2042810 2188725 2451372 2599940 2785650 2859934 2918300 3064215 3249925 3899910 4085620 4289901 4377450 5107025 5571300 5719868 6128430 6499850 7149835 7799820 8579802 8754900 9749775 10214050 12256860 12999700 14299670 15321075 17159604 19499550 20428100 21449505 28599340 30642150 35749175 38999100 42899010 61284300 71498350 85798020 107247525 142996700 214495050 428990100
- Sum of all divisors σ(n): 1583232000
- Sum of proper divisors (its aliquot sum) s(n): 1154241900
- 428990100 is an abundant number, because the sum of its proper divisors (1154241900) is greater than itself. Its abundance is 725251800
Bases of 428990100
- Binary: 110011001000111011110100101002
- Hexadecimal: 0x1991DE94
- Base-36: 73EQVO
Squares and roots of 428990100
- 428990100 squared (4289901002) is 184032505898010000
- 428990100 cubed (4289901003) is 78948123108437899701000000
-
The
square root of 428990100 is 20712.0761875771 -
The
cube root of 428990100 is 754.1928716445
Scales and comparisons
How big is 428990100?- 428,990,100 seconds is equal to 13 years, 33 weeks, 2 days, 3 hours, 55 minutes.
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To count from 1 to 428,990,100 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 428990100 cubic inches would be around 62.8 feet tall.
Recreational maths with 428990100
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