542406942
542,406,942 is an even composite number composed of six prime numbers multiplied together.
542406942 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 542406942:
2 × 34 × 7 × 112 × 59 × 67
(2 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 59 × 67)See below for interesting mathematical facts about the number 542406942 from the Numbermatics database.
Names of 542406942
- Cardinal: 542406942 can be written as Five hundred forty-two million, four hundred six thousand, nine hundred forty-two.
Scientific notation
- Scientific notation: 5.42406942 × 108
Factors of 542406942
Divisors of 542406942
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 59 63 66 67 77 81 99 118 121 126 134 154 162 177 189 198 201 231 242 297 354 363 378 402 413 462 469 531 567 594 603 649 693 726 737 826 847 891 938 1062 1089 1134 1206 1239 1298 1386 1407 1474 1593 1694 1782 1809 1947 2079 2178 2211 2478 2541 2814 3186 3267 3618 3717 3894 3953 4158 4221 4422 4543 4779 5082 5159 5427 5841 6237 6534 6633 7139 7434 7623 7906 8107 8442 9086 9558 9801 10318 10854 11151 11682 11859 12474 12663 13266 13629 14278 15246 15477 16214 17523 19602 19899 21417 22302 22869 23718 24321 25326 27258 27671 30954 33453 35046 35577 37989 39798 40887 42834 43483 45738 46431 48642 49973 52569 55342 56749 59697 64251 66906 68607 71154 72963 75978 81774 83013 86966 92862 99946 105138 106731 113498 119394 122661 128502 130449 137214 139293 145926 149919 166026 170247 192753 213462 218889 245322 249039 260898 278586 299838 304381 320193 340494 367983 385506 391347 417879 437778 449757 478313 498078 510741 578259 608762 640386 656667 735966 747117 782694 835758 899514 913143 956626 1021482 1156518 1174041 1313334 1349271 1434939 1494234 1532223 1826286 2241351 2348082 2698542 2739429 2869878 3064446 3348191 3522123 4047813 4304817 4482702 4596669 5478858 6696382 7044246 8095626 8218287 8609634 9193338 10044573 12914451 16436574 20089146 24654861 25828902 30133719 38743353 49309722 60267438 77486706 90401157 180802314 271203471 542406942
- Sum of all divisors σ(n): 1575826560
- Sum of proper divisors (its aliquot sum) s(n): 1033419618
- 542406942 is an abundant number, because the sum of its proper divisors (1033419618) is greater than itself. Its abundance is 491012676
Bases of 542406942
- Binary: 1000000101010001111001000111102
- Hexadecimal: 0x2054791E
- Base-36: 8YXNVI
Squares and roots of 542406942
- 542406942 squared (5424069422) is 294205290729791364
- 542406942 cubed (5424069423) is 159578992064967082045248888
-
The
square root of 542406942 is 23289.6316415697 -
The
cube root of 542406942 is 815.5333891557
Scales and comparisons
How big is 542406942?- 542,406,942 seconds is equal to 17 years, 12 weeks, 5 days, 20 hours, 35 minutes, 42 seconds.
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To count from 1 to 542,406,942 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 542406942 cubic inches would be around 68 feet tall.
Recreational maths with 542406942
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