542248960
542,248,960 is an even composite number composed of five prime numbers multiplied together.
542248960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eight divisors.
Prime factorization of 542248960:
212 × 5 × 11 × 29 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 29 × 83)See below for interesting mathematical facts about the number 542248960 from the Numbermatics database.
Names of 542248960
- Cardinal: 542248960 can be written as Five hundred forty-two million, two hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 5.4224896 × 108
Factors of 542248960
Divisors of 542248960
- Number of divisors d(n): 208
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 83 88 110 116 128 145 160 166 176 220 232 256 290 319 320 332 352 415 440 464 512 580 638 640 664 704 830 880 913 928 1024 1160 1276 1280 1328 1408 1595 1660 1760 1826 1856 2048 2320 2407 2552 2560 2656 2816 3190 3320 3520 3652 3712 4096 4565 4640 4814 5104 5120 5312 5632 6380 6640 7040 7304 7424 9130 9280 9628 10208 10240 10624 11264 12035 12760 13280 14080 14608 14848 18260 18560 19256 20416 20480 21248 22528 24070 25520 26477 26560 28160 29216 29696 36520 37120 38512 40832 42496 45056 48140 51040 52954 53120 56320 58432 59392 73040 74240 77024 81664 84992 96280 102080 105908 106240 112640 116864 118784 132385 146080 148480 154048 163328 169984 192560 204160 211816 212480 225280 233728 264770 292160 296960 308096 326656 339968 385120 408320 423632 424960 467456 529540 584320 593920 616192 653312 770240 816640 847264 849920 934912 1059080 1168640 1232384 1306624 1540480 1633280 1694528 1699840 1869824 2118160 2337280 2464768 3080960 3266560 3389056 3739648 4236320 4674560 4929536 6161920 6533120 6778112 8472640 9349120 9859072 12323840 13556224 16945280 18698240 24647680 27112448 33890560 49295360 54224896 67781120 108449792 135562240 271124480 542248960
- Sum of all divisors σ(n): 1486175040
- Sum of proper divisors (its aliquot sum) s(n): 943926080
- 542248960 is an abundant number, because the sum of its proper divisors (943926080) is greater than itself. Its abundance is 401677120
Bases of 542248960
- Binary: 1000000101001000010000000000002
- Hexadecimal: 0x20521000
- Base-36: 8YU9Z4
Squares and roots of 542248960
- 542248960 squared (5422489602) is 294033934621081600
- 542248960 cubed (5422489603) is 159439595252989491675136000
-
The
square root of 542248960 is 23286.2397136161 -
The
cube root of 542248960 is 815.4542037715
Scales and comparisons
How big is 542248960?- 542,248,960 seconds is equal to 17 years, 12 weeks, 4 days, 42 minutes, 40 seconds.
-
To count from 1 to 542,248,960 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 542248960 cubic inches would be around 68 feet tall.
Recreational maths with 542248960
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