420013296
420,013,296 is an even composite number composed of five prime numbers multiplied together.
420013296 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 420013296:
24 × 33 × 31 × 79 × 397
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 79 × 397)See below for interesting mathematical facts about the number 420013296 from the Numbermatics database.
Names of 420013296
- Cardinal: 420013296 can be written as Four hundred twenty million, thirteen thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 4.20013296 × 108
Factors of 420013296
Divisors of 420013296
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 79 93 108 124 144 158 186 216 237 248 279 316 372 397 432 474 496 558 632 711 744 794 837 948 1116 1191 1264 1422 1488 1588 1674 1896 2133 2232 2382 2449 2844 3176 3348 3573 3792 4266 4464 4764 4898 5688 6352 6696 7146 7347 8532 9528 9796 10719 11376 12307 13392 14292 14694 17064 19056 19592 21438 22041 24614 28584 29388 31363 34128 36921 39184 42876 44082 49228 57168 58776 62726 66123 73842 85752 88164 94089 98456 110763 117552 125452 132246 147684 171504 176328 188178 196912 221526 250904 264492 282267 295368 332289 352656 376356 443052 501808 528984 564534 590736 664578 752712 846801 886104 972253 1057968 1129068 1329156 1505424 1693602 1772208 1944506 2258136 2658312 2916759 3387204 3889012 4516272 5316624 5833518 6774408 7778024 8750277 11667036 13548816 15556048 17500554 23334072 26250831 35001108 46668144 52501662 70002216 105003324 140004432 210006648 420013296
- Sum of all divisors σ(n): 1263411200
- Sum of proper divisors (its aliquot sum) s(n): 843397904
- 420013296 is an abundant number, because the sum of its proper divisors (843397904) is greater than itself. Its abundance is 423384608
Bases of 420013296
- Binary: 110010000100011100100111100002
- Hexadecimal: 0x1908E4F0
- Base-36: 6Y2CC0
Squares and roots of 420013296
- 420013296 squared (4200132962) is 176411168816783616
- 420013296 cubed (4200132963) is 74095036465949706674958336
-
The
square root of 420013296 is 20494.2259185361 -
The
cube root of 420013296 is 748.8951411817
Scales and comparisons
How big is 420013296?- 420,013,296 seconds is equal to 13 years, 18 weeks, 3 days, 6 hours, 21 minutes, 36 seconds.
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To count from 1 to 420,013,296 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 420013296 cubic inches would be around 62.4 feet tall.
Recreational maths with 420013296
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