542488380
542,488,380 is an even composite number composed of seven prime numbers multiplied together.
What does the number 542488380 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 192 divisors.
542488380 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 542488380:
22 × 3 × 5 × 7 × 19 × 157 × 433
(2 × 2 × 3 × 5 × 7 × 19 × 157 × 433)See below for interesting mathematical facts about the number 542488380 from the Numbermatics database.
Names of 542488380
- Cardinal: 542488380 can be written as Five hundred forty-two million, four hundred eighty-eight thousand, three hundred eighty.
Scientific notation
- Scientific notation: 5.4248838 × 108
Factors of 542488380
Divisors of 542488380
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 157 190 210 228 266 285 314 380 399 420 433 471 532 570 628 665 785 798 866 942 1099 1140 1299 1330 1570 1596 1732 1884 1995 2165 2198 2355 2598 2660 2983 3031 3140 3297 3990 4330 4396 4710 5196 5495 5966 6062 6495 6594 7980 8227 8660 8949 9093 9420 10990 11932 12124 12990 13188 14915 15155 16454 16485 17898 18186 20881 21980 24681 25980 29830 30310 32908 32970 35796 36372 41135 41762 44745 45465 49362 57589 59660 60620 62643 65940 67981 82270 83524 89490 90930 98724 104405 115178 123405 125286 135962 164540 172767 178980 181860 203943 208810 230356 246810 250572 271924 287945 313215 339905 345534 407886 417620 475867 493620 575890 626430 679810 691068 815772 863835 951734 1019715 1151780 1252860 1291639 1359620 1427601 1727670 1903468 2039430 2379335 2583278 2855202 3455340 3874917 4078860 4758670 5166556 5710404 6458195 7138005 7749834 9041473 9517340 12916390 14276010 15499668 18082946 19374585 25832780 27124419 28552020 36165892 38749170 45207365 54248838 77498340 90414730 108497676 135622095 180829460 271244190 542488380
- Sum of all divisors σ(n): 1843215360
- Sum of proper divisors (its aliquot sum) s(n): 1300726980
- 542488380 is an abundant number, because the sum of its proper divisors (1300726980) is greater than itself. Its abundance is 758238600
Bases of 542488380
- Binary: 1000000101010110110111001111002
- Hexadecimal: 0x2055B73C
- Base-36: 8YZEPO
Squares and roots of 542488380
- 542488380 squared (5424883802) is 294293642435024400
- 542488380 cubed (5424883803) is 159650881328875642016472000
-
The
square root of 542488380 is 23291.3799505313 -
The
cube root of 542488380 is 815.5742023531
Scales and comparisons
How big is 542488380?- 542,488,380 seconds is equal to 17 years, 12 weeks, 6 days, 19 hours, 13 minutes.
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To count from 1 to 542,488,380 would take you about twenty-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 542488380 cubic inches would be around 68 feet tall.
Recreational maths with 542488380
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