122138289
122,138,289 is an odd composite number composed of six prime numbers multiplied together.
What does the number 122138289 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 96 divisors.
122138289 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 122138289:
32 × 7 × 13 × 19 × 47 × 167
(3 × 3 × 7 × 13 × 19 × 47 × 167)See below for interesting mathematical facts about the number 122138289 from the Numbermatics database.
Names of 122138289
- Cardinal: 122138289 can be written as One hundred twenty-two million, one hundred thirty-eight thousand, two hundred eighty-nine.
Scientific notation
- Scientific notation: 1.22138289 × 108
Factors of 122138289
Divisors of 122138289
- Number of divisors d(n): 96
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Complete list of divisors:
1 3 7 9 13 19 21 39 47 57 63 91 117 133 141 167 171 247 273 329 399 423 501 611 741 819 893 987 1169 1197 1503 1729 1833 2171 2223 2679 2961 3173 3507 4277 5187 5499 6251 6513 7849 8037 9519 10521 11609 12831 15197 15561 18753 19539 22211 23547 28557 34827 38493 41249 45591 54943 56259 66633 70641 81263 102037 104481 123747 136773 149131 164829 199899 243789 288743 306111 371241 447393 494487 714259 731367 866229 918333 1043917 1342179 1938703 2142777 2598687 3131751 5816109 6428331 9395253 13570921 17448327 40712763 122138289
- Sum of all divisors σ(n): 234823680
- Sum of proper divisors (its aliquot sum) s(n): 112685391
- 122138289 is a deficient number, because the sum of its proper divisors (112685391) is less than itself. Its deficiency is 9452898
Bases of 122138289
- Binary: 1110100011110101110101100012
- Hexadecimal: 0x747AEB1
- Base-36: 20PUI9
Squares and roots of 122138289
- 122138289 squared (1221382892) is 14917761639847521
- 122138289 cubed (1221382893) is 1822029882400810435831569
-
The
square root of 122138289 is 11051.6192931171 -
The
cube root of 122138289 is 496.1548914123
Scales and comparisons
How big is 122138289?- 122,138,289 seconds is equal to 3 years, 45 weeks, 6 days, 15 hours, 18 minutes, 9 seconds.
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To count from 1 to 122,138,289 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 122138289 cubic inches would be around 41.3 feet tall.
Recreational maths with 122138289
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"Number 122138289 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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The information we have on file for 122138289 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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