542228544
542,228,544 is an even composite number composed of six prime numbers multiplied together.
542228544 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 542228544:
26 × 32 × 11 × 13 × 29 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 29 × 227)See below for interesting mathematical facts about the number 542228544 from the Numbermatics database.
Names of 542228544
- Cardinal: 542228544 can be written as Five hundred forty-two million, two hundred twenty-eight thousand, five hundred forty-four.
Scientific notation
- Scientific notation: 5.42228544 × 108
Factors of 542228544
Divisors of 542228544
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 29 32 33 36 39 44 48 52 58 64 66 72 78 87 88 96 99 104 116 117 132 143 144 156 174 176 192 198 208 227 232 234 261 264 286 288 312 319 348 352 377 396 416 429 454 464 468 522 528 572 576 624 638 681 696 704 754 792 832 858 908 928 936 957 1044 1056 1131 1144 1248 1276 1287 1362 1392 1508 1584 1716 1816 1856 1872 1914 2043 2088 2112 2262 2288 2496 2497 2552 2574 2724 2784 2871 2951 3016 3168 3393 3432 3632 3744 3828 4086 4147 4176 4524 4576 4994 5104 5148 5448 5568 5742 5902 6032 6336 6583 6786 6864 7264 7488 7491 7656 8172 8294 8352 8853 9048 9152 9988 10208 10296 10896 11484 11804 12064 12441 13166 13572 13728 14528 14982 15312 16344 16588 16704 17706 18096 19749 19976 20416 20592 21792 22473 22968 23608 24128 24882 26332 26559 27144 27456 29964 30624 32461 32688 33176 35412 36192 37323 39498 39952 41184 43584 44946 45936 47216 49764 52664 53118 54288 59247 59928 61248 64922 65376 66352 70824 72384 72413 74646 78996 79904 82368 85579 89892 91872 94432 97383 99528 105328 106236 108576 118494 119856 129844 130752 132704 141648 144826 149292 157992 159808 171158 179784 183744 188864 194766 199056 210656 212472 217152 217239 236988 239712 256737 259688 265408 283296 289652 292149 298584 315984 342316 359568 389532 398112 421312 424944 434478 473976 479424 513474 519376 566592 579304 584298 597168 631968 651717 684632 719136 770211 779064 796224 849888 868956 941369 947952 1026948 1038752 1158608 1168596 1194336 1263936 1303434 1369264 1438272 1540422 1558128 1699776 1737912 1882738 1895904 2053896 2077504 2317216 2337192 2388672 2606868 2738528 2824107 3080844 3116256 3475824 3765476 3791808 4107792 4634432 4674384 5213736 5477056 5648214 6161688 6232512 6951648 7530952 8215584 8472321 9348768 10427472 11296428 12323376 13903296 15061904 16431168 16944642 18697536 20854944 22592856 24646752 30123808 33889284 41709888 45185712 49293504 60247616 67778568 90371424 135557136 180742848 271114272 542228544
- Sum of all divisors σ(n): 1897197120
- Sum of proper divisors (its aliquot sum) s(n): 1354968576
- 542228544 is an abundant number, because the sum of its proper divisors (1354968576) is greater than itself. Its abundance is 812740032
Bases of 542228544
- Binary: 1000000101000111000000010000002
- Hexadecimal: 0x2051C040
- Base-36: 8YTU80
Squares and roots of 542228544
- 542228544 squared (5422285442) is 294011793928359936
- 542228544 cubed (5422285443) is 159421586940602648405213184
-
The
square root of 542228544 is 23285.8013390135 -
The
cube root of 542228544 is 815.4439695289
Scales and comparisons
How big is 542228544?- 542,228,544 seconds is equal to 17 years, 12 weeks, 3 days, 19 hours, 2 minutes, 24 seconds.
-
To count from 1 to 542,228,544 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 542228544 cubic inches would be around 68 feet tall.
Recreational maths with 542228544
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