120506484
120,506,484 is an even composite number composed of six prime numbers multiplied together.
120506484 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 120506484:
22 × 3 × 72 × 29 × 37 × 191
(2 × 2 × 3 × 7 × 7 × 29 × 37 × 191)See below for interesting mathematical facts about the number 120506484 from the Numbermatics database.
Names of 120506484
- Cardinal: 120506484 can be written as One hundred twenty million, five hundred six thousand, four hundred eighty-four.
Scientific notation
- Scientific notation: 1.20506484 × 108
Factors of 120506484
Divisors of 120506484
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 12 14 21 28 29 37 42 49 58 74 84 87 98 111 116 147 148 174 191 196 203 222 259 294 348 382 406 444 518 573 588 609 764 777 812 1036 1073 1146 1218 1337 1421 1554 1813 2146 2292 2436 2674 2842 3108 3219 3626 4011 4263 4292 5348 5439 5539 5684 6438 7067 7252 7511 8022 8526 9359 10878 11078 12876 14134 15022 16044 16617 17052 18718 21201 21756 22156 22533 28077 28268 30044 33234 37436 38773 42402 45066 49469 52577 56154 66468 77546 84804 90132 98938 105154 112308 116319 148407 155092 157731 197876 204943 210308 232638 271411 296814 315462 346283 409886 465276 542822 593628 614829 630924 692566 814233 819772 1038849 1085644 1229658 1385132 1434601 1628466 2077698 2459316 2869202 3256932 4155396 4303803 5738404 8607606 10042207 17215212 20084414 30126621 40168828 60253242 120506484
- Sum of all divisors σ(n): 349332480
- Sum of proper divisors (its aliquot sum) s(n): 228825996
- 120506484 is an abundant number, because the sum of its proper divisors (228825996) is greater than itself. Its abundance is 108319512
Bases of 120506484
- Binary: 1110010111011001000011101002
- Hexadecimal: 0x72EC874
- Base-36: 1ZQVEC
Squares and roots of 120506484
- 120506484 squared (1205064842) is 14521812686042256
- 120506484 cubed (1205064843) is 1749972588101548145987904
-
The
square root of 120506484 is 10977.5445341843 -
The
cube root of 120506484 is 493.9353835943
Scales and comparisons
How big is 120506484?- 120,506,484 seconds is equal to 3 years, 43 weeks, 1 day, 18 hours, 1 minute, 24 seconds.
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To count from 1 to 120,506,484 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 120506484 cubic inches would be around 41.2 feet tall.
Recreational maths with 120506484
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