122985216
122,985,216 is an even composite number composed of three prime numbers multiplied together.
122985216 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred twenty-six divisors.
Prime factorization of 122985216:
28 × 36 × 659
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 659)See below for interesting mathematical facts about the number 122985216 from the Numbermatics database.
Names of 122985216
- Cardinal: 122985216 can be written as One hundred twenty-two million, nine hundred eighty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.22985216 × 108
Factors of 122985216
Divisors of 122985216
- Number of divisors d(n): 126
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 659 729 768 864 972 1152 1296 1318 1458 1728 1944 1977 2304 2592 2636 2916 3456 3888 3954 5184 5272 5832 5931 6912 7776 7908 10368 10544 11664 11862 15552 15816 17793 20736 21088 23328 23724 31104 31632 35586 42176 46656 47448 53379 62208 63264 71172 84352 93312 94896 106758 126528 142344 160137 168704 186624 189792 213516 253056 284688 320274 379584 427032 480411 506112 569376 640548 759168 854064 960822 1138752 1281096 1518336 1708128 1921644 2277504 2562192 3416256 3843288 4555008 5124384 6832512 7686576 10248768 13665024 15373152 20497536 30746304 40995072 61492608 122985216
- Sum of all divisors σ(n): 368625180
- Sum of proper divisors (its aliquot sum) s(n): 245639964
- 122985216 is an abundant number, because the sum of its proper divisors (245639964) is greater than itself. Its abundance is 122654748
Bases of 122985216
- Binary: 1110101010010011011000000002
- Hexadecimal: 0x7549B00
- Base-36: 218000
Squares and roots of 122985216
- 122985216 squared (1229852162) is 15125363354566656
- 122985216 cubed (1229852163) is 1860196079239864774557696
-
The
square root of 122985216 is 11089.8699721863 -
The
cube root of 122985216 is 497.2990574233
Scales and comparisons
How big is 122985216?- 122,985,216 seconds is equal to 3 years, 47 weeks, 2 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 122,985,216 would take you about five 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 122985216 cubic inches would be around 41.4 feet tall.
Recreational maths with 122985216
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The information we have on file for 122985216 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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