420401696
420,401,696 is an even composite number composed of five prime numbers multiplied together.
What does the number 420401696 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
420401696 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 420401696:
25 × 11 × 132 × 37 × 191
(2 × 2 × 2 × 2 × 2 × 11 × 13 × 13 × 37 × 191)See below for interesting mathematical facts about the number 420401696 from the Numbermatics database.
Names of 420401696
- Cardinal: 420401696 can be written as Four hundred twenty million, four hundred one thousand, six hundred ninety-six.
Scientific notation
- Scientific notation: 4.20401696 × 108
Factors of 420401696
Divisors of 420401696
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 8 11 13 16 22 26 32 37 44 52 74 88 104 143 148 169 176 191 208 286 296 338 352 382 407 416 481 572 592 676 764 814 962 1144 1184 1352 1528 1628 1859 1924 2101 2288 2483 2704 3056 3256 3718 3848 4202 4576 4966 5291 5408 6112 6253 6512 7067 7436 7696 8404 9932 10582 12506 13024 14134 14872 15392 16808 19864 21164 25012 27313 28268 29744 32279 33616 39728 42328 50024 54626 56536 59488 64558 67232 68783 77737 79456 84656 91871 100048 109252 113072 129116 137566 155474 169312 183742 200096 218504 226144 258232 275132 310948 355069 367484 437008 516464 550264 621896 710138 734968 874016 1010581 1032928 1100528 1194323 1243792 1420276 1469936 2021162 2201056 2388646 2487584 2840552 2939872 4042324 4777292 5681104 8084648 9554584 11362208 13137553 16169296 19109168 26275106 32338592 38218336 52550212 105100424 210200848 420401696
- Sum of all divisors σ(n): 1009387008
- Sum of proper divisors (its aliquot sum) s(n): 588985312
- 420401696 is an abundant number, because the sum of its proper divisors (588985312) is greater than itself. Its abundance is 168583616
Bases of 420401696
- Binary: 110010000111011010010001000002
- Hexadecimal: 0x190ED220
- Base-36: 6YAO0W
Squares and roots of 420401696
- 420401696 squared (4204016962) is 176737585999676416
- 420401696 cubed (4204016963) is 74300780901209820737601536
-
The
square root of 420401696 is 20503.6995686145 -
The
cube root of 420401696 is 749.1259126537
Scales and comparisons
How big is 420401696?- 420,401,696 seconds is equal to 13 years, 19 weeks, 18 hours, 14 minutes, 56 seconds.
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To count from 1 to 420,401,696 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 420401696 cubic inches would be around 62.4 feet tall.
Recreational maths with 420401696
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