428538420
428,538,420 is an even composite number composed of six prime numbers multiplied together.
428538420 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 428538420:
22 × 32 × 5 × 31 × 61 × 1259
(2 × 2 × 3 × 3 × 5 × 31 × 61 × 1259)See below for interesting mathematical facts about the number 428538420 from the Numbermatics database.
Names of 428538420
- Cardinal: 428538420 can be written as Four hundred twenty-eight million, five hundred thirty-eight thousand, four hundred twenty.
Scientific notation
- Scientific notation: 4.2853842 × 108
Factors of 428538420
Divisors of 428538420
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 61 62 90 93 122 124 155 180 183 186 244 279 305 310 366 372 465 549 558 610 620 732 915 930 1098 1116 1220 1259 1395 1830 1860 1891 2196 2518 2745 2790 3660 3777 3782 5036 5490 5580 5673 6295 7554 7564 9455 10980 11331 11346 12590 15108 17019 18885 18910 22662 22692 25180 28365 34038 37770 37820 39029 45324 56655 56730 68076 75540 76799 78058 85095 113310 113460 117087 153598 156116 170190 195145 226620 230397 234174 307196 340380 351261 383995 390290 460794 468348 585435 691191 702522 767990 780580 921588 1151985 1170870 1382382 1405044 1535980 1756305 2303970 2341740 2380769 2764764 3455955 3512610 4607940 4761538 6911910 7025220 7142307 9523076 11903845 13823820 14284614 21426921 23807690 28569228 35711535 42853842 47615380 71423070 85707684 107134605 142846140 214269210 428538420
- Sum of all divisors σ(n): 1364912640
- Sum of proper divisors (its aliquot sum) s(n): 936374220
- 428538420 is an abundant number, because the sum of its proper divisors (936374220) is greater than itself. Its abundance is 507835800
Bases of 428538420
- Binary: 110011000101011111010001101002
- Hexadecimal: 0x198AFA34
- Base-36: 7352D0
Squares and roots of 428538420
- 428538420 squared (4285384202) is 183645177416096400
- 428538420 cubed (4285384203) is 78699014170513633823688000
-
The
square root of 428538420 is 20701.1695321787 -
The
cube root of 428538420 is 753.9280842883
Scales and comparisons
How big is 428538420?- 428,538,420 seconds is equal to 13 years, 32 weeks, 3 days, 22 hours, 27 minutes.
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To count from 1 to 428,538,420 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 428538420 cubic inches would be around 62.8 feet tall.
Recreational maths with 428538420
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