542070144
542,070,144 is an even composite number composed of five prime numbers multiplied together.
542070144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 542070144:
27 × 34 × 72 × 11 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 97)See below for interesting mathematical facts about the number 542070144 from the Numbermatics database.
Names of 542070144
- Cardinal: 542070144 can be written as Five hundred forty-two million, seventy thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 5.42070144 × 108
Factors of 542070144
Divisors of 542070144
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 64 66 72 77 81 84 88 96 97 98 99 108 112 126 128 132 144 147 154 162 168 176 189 192 194 196 198 216 224 231 252 264 288 291 294 297 308 324 336 352 378 384 388 392 396 432 441 448 462 504 528 539 567 576 582 588 594 616 648 672 679 693 704 756 776 784 792 864 873 882 891 896 924 1008 1056 1067 1078 1134 1152 1164 1176 1188 1232 1296 1323 1344 1358 1386 1408 1512 1552 1568 1584 1617 1728 1746 1764 1782 1848 2016 2037 2079 2112 2134 2156 2268 2328 2352 2376 2464 2592 2619 2646 2688 2716 2772 3024 3104 3136 3168 3201 3234 3456 3492 3528 3564 3696 3969 4032 4074 4158 4224 4268 4312 4536 4656 4704 4752 4753 4851 4928 5184 5238 5292 5432 5544 6048 6111 6208 6237 6272 6336 6402 6468 6984 7056 7128 7392 7469 7857 7938 8064 8148 8316 8536 8624 9072 9312 9408 9504 9506 9603 9702 9856 10368 10476 10584 10864 11088 12096 12222 12416 12474 12672 12804 12936 13968 14112 14256 14259 14553 14784 14938 15714 15876 16296 16632 17072 17248 18144 18333 18624 18816 19008 19012 19206 19404 20952 21168 21728 22176 22407 24192 24444 24948 25608 25872 27936 28224 28512 28518 28809 29106 29568 29876 31428 31752 32592 33264 34144 34496 36288 36666 37248 38016 38024 38412 38808 41904 42336 42777 43456 43659 44352 44814 48888 49896 51216 51744 52283 54999 55872 56448 57024 57036 57618 58212 59752 62856 63504 65184 66528 67221 68288 68992 72576 73332 76048 76824 77616 83808 84672 85554 86427 86912 87318 88704 89628 97776 99792 102432 103488 104566 109998 111744 114048 114072 115236 116424 119504 125712 127008 128331 130368 133056 134442 136576 146664 152096 153648 155232 156849 167616 169344 171108 172854 174636 179256 195552 199584 201663 204864 206976 209132 219996 228144 230472 232848 239008 251424 254016 256662 260736 266112 268884 293328 304192 307296 310464 313698 335232 342216 345708 349272 358512 384993 391104 399168 403326 409728 418264 439992 456288 460944 465696 470547 478016 502848 508032 513324 537768 586656 604989 608384 614592 620928 627396 684432 691416 698544 717024 769986 782208 798336 806652 836528 879984 912576 921888 931392 941094 956032 1005696 1026648 1075536 1173312 1209978 1229184 1254792 1368864 1382832 1397088 1411641 1434048 1539972 1613304 1673056 1759968 1825152 1843776 1862784 1882188 2053296 2151072 2346624 2419956 2509584 2737728 2765664 2794176 2823282 2868096 3079944 3226608 3346112 3519936 3687552 3764376 4106592 4234923 4302144 4839912 5019168 5475456 5531328 5588352 5646564 6159888 6453216 6692224 7039872 7528752 8213184 8469846 8604288 9679824 10038336 11062656 11293128 12319776 12906432 15057504 16426368 16939692 19359648 20076672 22586256 24639552 25812864 30115008 33879384 38719296 45172512 49279104 60230016 67758768 77438592 90345024 135517536 180690048 271035072 542070144
- Sum of all divisors σ(n): 2068272360
- Sum of proper divisors (its aliquot sum) s(n): 1526202216
- 542070144 is an abundant number, because the sum of its proper divisors (1526202216) is greater than itself. Its abundance is 984132072
Bases of 542070144
- Binary: 1000000100111101010101100000002
- Hexadecimal: 0x204F5580
- Base-36: 8YQG00
Squares and roots of 542070144
- 542070144 squared (5420701442) is 293840041016180736
- 542070144 cubed (5420701443) is 159281913346606997893545984
-
The
square root of 542070144 is 23282.3998763015 -
The
cube root of 542070144 is 815.3645571939
Scales and comparisons
How big is 542070144?- 542,070,144 seconds is equal to 17 years, 12 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 542,070,144 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 542070144 cubic inches would be around 67.9 feet tall.
Recreational maths with 542070144
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