468478725
468,478,725 is an odd composite number composed of five prime numbers multiplied together.
468478725 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 468478725:
3 × 52 × 113 × 13 × 192
(3 × 5 × 5 × 11 × 11 × 11 × 13 × 19 × 19)See below for interesting mathematical facts about the number 468478725 from the Numbermatics database.
Names of 468478725
- Cardinal: 468478725 can be written as Four hundred sixty-eight million, four hundred seventy-eight thousand, seven hundred twenty-five.
Scientific notation
- Scientific notation: 4.68478725 × 108
Factors of 468478725
Divisors of 468478725
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 11 13 15 19 25 33 39 55 57 65 75 95 121 143 165 195 209 247 275 285 325 361 363 429 475 605 627 715 741 825 975 1045 1083 1235 1331 1425 1573 1805 1815 2145 2299 2717 3025 3135 3575 3705 3971 3993 4693 4719 5225 5415 6175 6655 6897 7865 8151 9025 9075 10725 11495 11913 13585 14079 15675 17303 18525 19855 19965 23465 23595 25289 27075 29887 33275 34485 39325 40755 43681 51623 51909 57475 59565 67925 70395 75867 86515 89661 99275 99825 117325 117975 126445 131043 149435 154869 172425 203775 218405 258115 259545 297825 328757 351975 379335 432575 448305 480491 567853 632225 655215 747175 774345 986271 1092025 1290575 1297725 1441473 1643785 1703559 1896675 2241525 2402455 2839265 3276075 3871725 4931355 6246383 7207365 8218925 8517795 12012275 14196325 18739149 24656775 31231915 36036825 42588975 93695745 156159575 468478725
- Sum of all divisors σ(n): 968313024
- Sum of proper divisors (its aliquot sum) s(n): 499834299
- 468478725 is an abundant number, because the sum of its proper divisors (499834299) is greater than itself. Its abundance is 31355574
Bases of 468478725
- Binary: 110111110110001101011000001012
- Hexadecimal: 0x1BEC6B05
- Base-36: 7QX4HX
Squares and roots of 468478725
- 468478725 squared (4684787252) is 219472315777625625
- 468478725 cubed (4684787253) is 102818110668299436327328125
-
The
square root of 468478725 is 21644.3693601823 -
The
cube root of 468478725 is 776.6582461055
Scales and comparisons
How big is 468478725?- 468,478,725 seconds is equal to 14 years, 46 weeks, 4 days, 4 hours, 58 minutes, 45 seconds.
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To count from 1 to 468,478,725 would take you about twenty-two 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 468478725 cubic inches would be around 64.7 feet tall.
Recreational maths with 468478725
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