542016090
542,016,090 is an even composite number composed of seven prime numbers multiplied together.
542016090 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 542016090:
2 × 33 × 5 × 7 × 11 × 292 × 31
(2 × 3 × 3 × 3 × 5 × 7 × 11 × 29 × 29 × 31)See below for interesting mathematical facts about the number 542016090 from the Numbermatics database.
Names of 542016090
- Cardinal: 542016090 can be written as Five hundred forty-two million, sixteen thousand and ninety.
Scientific notation
- Scientific notation: 5.4201609 × 108
Factors of 542016090
Divisors of 542016090
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 29 30 31 33 35 42 45 54 55 58 62 63 66 70 77 87 90 93 99 105 110 126 135 145 154 155 165 174 186 189 198 203 210 217 231 261 270 279 290 297 310 315 319 330 341 378 385 406 434 435 462 465 495 522 558 594 609 630 638 651 682 693 770 783 837 841 870 899 930 945 957 990 1015 1023 1085 1155 1218 1302 1305 1386 1395 1485 1566 1595 1674 1682 1705 1798 1827 1890 1914 1953 2030 2046 2079 2170 2233 2310 2387 2523 2610 2697 2790 2871 2970 3045 3069 3190 3255 3410 3465 3654 3906 3915 4158 4185 4205 4466 4495 4774 4785 5046 5115 5394 5481 5742 5859 5887 6090 6138 6293 6510 6699 6930 7161 7569 7830 8091 8370 8410 8613 8990 9135 9207 9251 9570 9765 9889 10230 10395 10962 11165 11718 11774 11935 12586 12615 13398 13485 14322 14355 15138 15345 16182 17226 17661 18270 18414 18502 18879 19530 19778 20097 20790 21483 22330 22707 23870 24273 25230 26071 26970 27405 27753 28710 29295 29435 29667 30690 31465 33495 35322 35805 37758 37845 40194 40455 42966 43065 45414 46035 46255 48546 49445 52142 52983 54810 55506 56637 58590 58870 59334 60291 62930 64449 64757 66990 69223 71610 75690 78213 80910 83259 86130 88305 89001 92070 92510 94395 98890 100485 105966 107415 113274 113535 120582 121365 128898 129514 130355 138446 138765 148335 156426 158949 166518 169911 176610 178002 182497 188790 194271 200970 207669 214830 227070 234639 242730 249777 260710 264915 267003 277530 283185 286781 296670 301455 317898 322245 323785 339822 346115 364994 388542 391065 415338 416295 445005 469278 499554 529830 534006 547491 566370 573562 582813 602910 623007 644490 647570 692230 703917 782130 794745 832590 849555 860343 890010 912485 971355 1038345 1094982 1165626 1173195 1246014 1248885 1335015 1407834 1433905 1589490 1642473 1699110 1720686 1748439 1824970 1869021 1942710 2007467 2076690 2346390 2497770 2581029 2670030 2737455 2867810 2914065 3115035 3284946 3496878 3519585 3738042 4014934 4301715 4927419 5162058 5474910 5828130 6022401 6230070 7039170 7743087 8212365 8603430 8742195 9345105 9854838 10037335 12044802 12905145 15486174 16424730 17484390 18067203 18690210 20074670 24637095 25810290 30112005 36134406 38715435 49274190 54201609 60224010 77430870 90336015 108403218 180672030 271008045 542016090
- Sum of all divisors σ(n): 1926512640
- Sum of proper divisors (its aliquot sum) s(n): 1384496550
- 542016090 is an abundant number, because the sum of its proper divisors (1384496550) is greater than itself. Its abundance is 842480460
Bases of 542016090
- Binary: 1000000100111010000010010110102
- Hexadecimal: 0x204E825A
- Base-36: 8YPAAI
Squares and roots of 542016090
- 542016090 squared (5420160902) is 293781441818888100
- 542016090 cubed (5420160903) is 159234268409236216109529000
-
The
square root of 542016090 is 23281.2390134203 -
The
cube root of 542016090 is 815.3374541943
Scales and comparisons
How big is 542016090?- 542,016,090 seconds is equal to 17 years, 12 weeks, 1 day, 8 hours, 1 minute, 30 seconds.
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To count from 1 to 542,016,090 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 542016090 cubic inches would be around 67.9 feet tall.
Recreational maths with 542016090
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