542640384
542,640,384 is an even composite number composed of five prime numbers multiplied together.
542640384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 542640384:
28 × 35 × 11 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 61)See below for interesting mathematical facts about the number 542640384 from the Numbermatics database.
Names of 542640384
- Cardinal: 542640384 can be written as Five hundred forty-two million, six hundred forty thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 5.42640384 × 108
Factors of 542640384
Divisors of 542640384
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 61 64 66 72 78 81 88 96 99 104 108 117 122 128 132 143 144 156 162 176 183 192 198 208 216 234 243 244 256 264 286 288 297 312 324 351 352 366 384 396 416 429 432 468 486 488 528 549 572 576 594 624 648 671 702 704 732 768 792 793 832 858 864 891 936 972 976 1053 1056 1098 1144 1152 1188 1248 1287 1296 1342 1404 1408 1464 1584 1586 1647 1664 1716 1728 1782 1872 1944 1952 2013 2106 2112 2196 2288 2304 2376 2379 2496 2574 2592 2673 2684 2808 2816 2928 3159 3168 3172 3294 3328 3432 3456 3564 3744 3861 3888 3904 4026 4212 4224 4392 4576 4752 4758 4941 4992 5148 5184 5346 5368 5616 5856 6039 6318 6336 6344 6588 6864 6912 7128 7137 7488 7722 7776 7808 8052 8424 8448 8723 8784 9152 9504 9516 9882 9984 10296 10368 10692 10736 11232 11583 11712 12078 12636 12672 12688 13176 13728 14256 14274 14823 14976 15444 15552 15616 16104 16848 17446 17568 18117 18304 19008 19032 19764 20592 20736 21384 21411 21472 22464 23166 23424 24156 25272 25344 25376 26169 26352 27456 28512 28548 29646 29952 30888 31104 32208 33696 34749 34892 35136 36234 36608 38016 38064 39528 41184 42768 42822 42944 44928 46332 46848 48312 50544 50752 52338 52704 54351 54912 57024 57096 59292 61776 62208 64233 64416 67392 69498 69784 70272 72468 76032 76128 78507 79056 82368 85536 85644 85888 89856 92664 96624 101088 101504 104676 105408 108702 109824 114048 114192 118584 123552 128466 128832 134784 138996 139568 140544 144936 152256 157014 158112 163053 164736 171072 171288 171776 185328 192699 193248 202176 203008 209352 210816 217404 228096 228384 235521 237168 247104 256932 257664 269568 277992 279136 289872 304512 314028 316224 326106 329472 342144 342576 370656 385398 386496 404352 418704 421632 434808 456768 471042 474336 494208 513864 515328 555984 558272 579744 609024 628056 632448 652212 684288 685152 706563 741312 770796 772992 808704 837408 869616 913536 942084 948672 988416 1027728 1111968 1116544 1159488 1256112 1264896 1304424 1370304 1413126 1482624 1541592 1545984 1674816 1739232 1827072 1884168 1897344 2055456 2119689 2223936 2233088 2318976 2512224 2608848 2740608 2826252 2965248 3083184 3349632 3478464 3768336 3794688 4110912 4239378 4447872 4637952 5024448 5217696 5481216 5652504 6166368 6699264 6956928 7536672 8221824 8478756 8895744 10048896 10435392 11305008 12332736 13913856 15073344 16443648 16957512 20097792 20870784 22610016 24665472 30146688 33915024 41741568 45220032 49330944 60293376 67830048 90440064 135660096 180880128 271320192 542640384
- Sum of all divisors σ(n): 1937417664
- Sum of proper divisors (its aliquot sum) s(n): 1394777280
- 542640384 is an abundant number, because the sum of its proper divisors (1394777280) is greater than itself. Its abundance is 852136896
Bases of 542640384
- Binary: 1000000101100000001001000000002
- Hexadecimal: 0x20580900
- Base-36: 8Z2O00
Squares and roots of 542640384
- 542640384 squared (5426403842) is 294458586347667456
- 542640384 cubed (5426403843) is 159785120367795425828143104
-
The
square root of 542640384 is 23294.6428176093 -
The
cube root of 542640384 is 815.6503692465
Scales and comparisons
How big is 542640384?- 542,640,384 seconds is equal to 17 years, 13 weeks, 1 day, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 542,640,384 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 542640384 cubic inches would be around 68 feet tall.
Recreational maths with 542640384
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