126078225
126,078,225 is an odd composite number composed of five prime numbers multiplied together.
126078225 is an odd 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 126078225:
3 × 52 × 73 × 132 × 29
(3 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 29)See below for interesting mathematical facts about the number 126078225 from the Numbermatics database.
Names of 126078225
- Cardinal: 126078225 can be written as One hundred twenty-six million, seventy-eight thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.26078225 × 108
Factors of 126078225
Divisors of 126078225
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 7 13 15 21 25 29 35 39 49 65 75 87 91 105 145 147 169 175 195 203 245 273 325 343 377 435 455 507 525 609 637 725 735 845 975 1015 1029 1131 1183 1225 1365 1421 1715 1885 1911 2175 2275 2535 2639 3045 3185 3549 3675 4225 4263 4459 4901 5075 5145 5655 5915 6825 7105 7917 8281 8575 9425 9555 9947 12675 13195 13377 14703 15225 15925 17745 18473 21315 22295 24505 24843 25725 28275 29575 29841 34307 35525 39585 41405 47775 49735 55419 57967 65975 66885 73515 88725 92365 102921 106575 111475 122525 124215 129311 149205 171535 173901 197925 207025 240149 248675 277095 289835 334425 367575 387933 461825 514605 621075 646555 720447 746025 857675 869505 1200745 1385475 1449175 1681043 1939665 2573025 3232775 3602235 4347525 5043129 6003725 8405215 9698325 18011175 25215645 42026075 126078225
- Sum of all divisors σ(n): 272304000
- Sum of proper divisors (its aliquot sum) s(n): 146225775
- 126078225 is an abundant number, because the sum of its proper divisors (146225775) is greater than itself. Its abundance is 20147550
Bases of 126078225
- Binary: 1111000001111001101000100012
- Hexadecimal: 0x783CD11
- Base-36: 232AKX
Squares and roots of 126078225
- 126078225 squared (1260782252) is 15895718819150625
- 126078225 cubed (1260782253) is 2004104013817606807640625
-
The
square root of 126078225 is 11228.4560381203 -
The
cube root of 126078225 is 501.4335194495
Scales and comparisons
How big is 126078225?- 126,078,225 seconds is equal to 4 years, 3 days, 5 hours, 43 minutes, 45 seconds.
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To count from 1 to 126,078,225 would take you about six 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 126078225 cubic inches would be around 41.8 feet tall.
Recreational maths with 126078225
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