420398316
420,398,316 is an even composite number composed of five prime numbers multiplied together.
420398316 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 420398316:
22 × 33 × 132 × 31 × 743
(2 × 2 × 3 × 3 × 3 × 13 × 13 × 31 × 743)See below for interesting mathematical facts about the number 420398316 from the Numbermatics database.
Names of 420398316
- Cardinal: 420398316 can be written as Four hundred twenty million, three hundred ninety-eight thousand, three hundred sixteen.
Scientific notation
- Scientific notation: 4.20398316 × 108
Factors of 420398316
Divisors of 420398316
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 169 186 234 279 338 351 372 403 468 507 558 676 702 743 806 837 1014 1116 1209 1404 1486 1521 1612 1674 2028 2229 2418 2972 3042 3348 3627 4458 4563 4836 5239 6084 6687 7254 8916 9126 9659 10478 10881 13374 14508 15717 18252 19318 20061 20956 21762 23033 26748 28977 31434 38636 40122 43524 46066 47151 57954 62868 69099 80244 86931 92132 94302 115908 125567 138198 141453 173862 188604 207297 251134 260793 276396 282906 299429 347724 376701 414594 502268 521586 565812 598858 621891 753402 829188 898287 1043172 1130103 1197716 1243782 1506804 1796574 2260206 2487564 2694861 3390309 3593148 3892577 4520412 5389722 6780618 7785154 8084583 10779444 11677731 13561236 15570308 16169166 23355462 32338332 35033193 46710924 70066386 105099579 140132772 210199158 420398316
- Sum of all divisors σ(n): 1219921920
- Sum of proper divisors (its aliquot sum) s(n): 799523604
- 420398316 is an abundant number, because the sum of its proper divisors (799523604) is greater than itself. Its abundance is 379125288
Bases of 420398316
- Binary: 110010000111011000100111011002
- Hexadecimal: 0x190EC4EC
- Base-36: 6YALF0
Squares and roots of 420398316
- 420398316 squared (4203983162) is 176734744095635856
- 420398316 cubed (4203983163) is 74298988796496256811618496
-
The
square root of 420398316 is 20503.6171442991 -
The
cube root of 420398316 is 749.1239050085
Scales and comparisons
How big is 420398316?- 420,398,316 seconds is equal to 13 years, 19 weeks, 17 hours, 18 minutes, 36 seconds.
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To count from 1 to 420,398,316 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 420398316 cubic inches would be around 62.4 feet tall.
Recreational maths with 420398316
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