428370400
428,370,400 is an even composite number composed of five prime numbers multiplied together.
428370400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 428370400:
25 × 52 × 23 × 31 × 751
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 31 × 751)See below for interesting mathematical facts about the number 428370400 from the Numbermatics database.
Names of 428370400
- Cardinal: 428370400 can be written as Four hundred twenty-eight million, three hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 4.283704 × 108
Factors of 428370400
Divisors of 428370400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 31 32 40 46 50 62 80 92 100 115 124 155 160 184 200 230 248 310 368 400 460 496 575 620 713 736 751 775 800 920 992 1150 1240 1426 1502 1550 1840 2300 2480 2852 3004 3100 3565 3680 3755 4600 4960 5704 6008 6200 7130 7510 9200 11408 12016 12400 14260 15020 17273 17825 18400 18775 22816 23281 24032 24800 28520 30040 34546 35650 37550 46562 57040 60080 69092 71300 75100 86365 93124 114080 116405 120160 138184 142600 150200 172730 186248 232810 276368 285200 300400 345460 372496 431825 465620 535463 552736 570400 582025 600800 690920 744992 863650 931240 1070926 1164050 1381840 1727300 1862480 2141852 2328100 2677315 2763680 3454600 3724960 4283704 4656200 5354630 6909200 8567408 9312400 10709260 13386575 13818400 17134816 18624800 21418520 26773150 42837040 53546300 85674080 107092600 214185200 428370400
- Sum of all divisors σ(n): 1127927808
- Sum of proper divisors (its aliquot sum) s(n): 699557408
- 428370400 is an abundant number, because the sum of its proper divisors (699557408) is greater than itself. Its abundance is 271187008
Bases of 428370400
- Binary: 110011000100001101001111000002
- Hexadecimal: 0x198869E0
- Base-36: 731GPS
Squares and roots of 428370400
- 428370400 squared (4283704002) is 183501199596160000
- 428370400 cubed (4283704003) is 78606482271486897664000000
-
The
square root of 428370400 is 20697.1109094965 -
The
cube root of 428370400 is 753.8295388215
Scales and comparisons
How big is 428370400?- 428,370,400 seconds is equal to 13 years, 32 weeks, 1 day, 23 hours, 46 minutes, 40 seconds.
-
To count from 1 to 428,370,400 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 428370400 cubic inches would be around 62.8 feet tall.
Recreational maths with 428370400
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