100968420
100,968,420 is an even composite number composed of six prime numbers multiplied together.
100968420 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 100968420:
22 × 3 × 5 × 72 × 61 × 563
(2 × 2 × 3 × 5 × 7 × 7 × 61 × 563)See below for interesting mathematical facts about the number 100968420 from the Numbermatics database.
Names of 100968420
- Cardinal: 100968420 can be written as One hundred million, nine hundred sixty-eight thousand, four hundred twenty.
Scientific notation
- Scientific notation: 1.0096842 × 108
Factors of 100968420
Divisors of 100968420
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 61 70 84 98 105 122 140 147 183 196 210 244 245 294 305 366 420 427 490 563 588 610 732 735 854 915 980 1126 1220 1281 1470 1689 1708 1830 2135 2252 2562 2815 2940 2989 3378 3660 3941 4270 5124 5630 5978 6405 6756 7882 8445 8540 8967 11260 11823 11956 12810 14945 15764 16890 17934 19705 23646 25620 27587 29890 33780 34343 35868 39410 44835 47292 55174 59115 59780 68686 78820 82761 89670 103029 110348 118230 137372 137935 165522 171715 179340 206058 236460 240401 275870 331044 343430 412116 413805 480802 515145 551740 686860 721203 827610 961604 1030290 1202005 1442406 1655220 1682807 2060580 2404010 2884812 3365614 3606015 4808020 5048421 6731228 7212030 8414035 10096842 14424060 16828070 20193684 25242105 33656140 50484210 100968420
- Sum of all divisors σ(n): 334853568
- Sum of proper divisors (its aliquot sum) s(n): 233885148
- 100968420 is an abundant number, because the sum of its proper divisors (233885148) is greater than itself. Its abundance is 132916728
Bases of 100968420
- Binary: 1100000010010100111111001002
- Hexadecimal: 0x604A7E4
- Base-36: 1O43QC
Squares and roots of 100968420
- 100968420 squared (1009684202) is 10194621837296400
- 100968420 cubed (1009684203) is 1029334859409314579688000
-
The
square root of 100968420 is 10048.3043345631 -
The
cube root of 100968420 is 465.6524083081
Scales and comparisons
How big is 100968420?- 100,968,420 seconds is equal to 3 years, 10 weeks, 6 days, 14 hours, 47 minutes.
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To count from 1 to 100,968,420 would take you about four 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 100968420 cubic inches would be around 38.8 feet tall.
Recreational maths with 100968420
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