542143872
542,143,872 is an even composite number composed of six prime numbers multiplied together.
542143872 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 542143872:
27 × 32 × 17 × 19 × 31 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 19 × 31 × 47)See below for interesting mathematical facts about the number 542143872 from the Numbermatics database.
Names of 542143872
- Cardinal: 542143872 can be written as Five hundred forty-two million, one hundred forty-three thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 5.42143872 × 108
Factors of 542143872
Divisors of 542143872
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 19 24 31 32 34 36 38 47 48 51 57 62 64 68 72 76 93 94 96 102 114 124 128 136 141 144 152 153 171 186 188 192 204 228 248 272 279 282 288 304 306 323 342 372 376 384 408 423 456 496 527 544 558 564 576 589 608 612 646 684 744 752 799 816 846 893 912 969 992 1054 1088 1116 1128 1152 1178 1216 1224 1292 1368 1457 1488 1504 1581 1598 1632 1692 1767 1786 1824 1938 1984 2108 2176 2232 2256 2356 2397 2432 2448 2584 2679 2736 2907 2914 2976 3008 3162 3196 3264 3384 3534 3572 3648 3876 3968 4216 4371 4464 4512 4712 4743 4794 4896 5168 5301 5358 5472 5814 5828 5952 6016 6324 6392 6528 6768 7068 7144 7191 7296 7752 8037 8432 8742 8928 9024 9424 9486 9588 9792 10013 10336 10602 10716 10944 11628 11656 11904 12648 12784 13113 13536 14136 14288 14382 15181 15504 16074 16864 17484 17856 18048 18848 18972 19176 19584 20026 20672 21204 21432 21888 23256 23312 24769 25296 25568 26226 27072 27683 28272 28576 28764 30039 30362 31008 32148 33728 34968 35712 37696 37944 38352 40052 41344 42408 42864 45543 46512 46624 49538 50592 51136 52452 54144 55366 56544 57152 57528 60078 60724 62016 64296 67456 69936 74307 75392 75888 76704 80104 83049 84816 85728 90117 91086 93024 93248 99076 101184 102272 104904 110732 113088 114304 115056 120156 121448 124032 128592 136629 139872 148614 151776 153408 160208 166098 169632 171456 180234 182172 186048 186496 198152 202368 209808 221464 222921 226176 230112 240312 242896 249147 257184 273258 279744 297228 303552 306816 320416 332196 339264 342912 360468 364344 372096 396304 419616 442928 445842 460224 470611 480624 485792 498294 514368 546516 559488 594456 607104 640832 664392 678528 720936 728688 792608 839232 885856 891684 920448 941222 961248 971584 996588 1028736 1093032 1188912 1281664 1328784 1411833 1441872 1457376 1585216 1678464 1771712 1783368 1882444 1922496 1943168 1993176 2186064 2377824 2657568 2823666 2883744 2914752 3170432 3543424 3566736 3764888 3844992 3986352 4235499 4372128 4755648 5315136 5647332 5767488 5829504 7133472 7529776 7972704 8470998 8744256 9511296 10630272 11294664 11534976 14266944 15059552 15945408 16941996 17488512 22589328 28533888 30119104 31890816 33883992 45178656 60238208 67767984 90357312 135535968 180714624 271071936 542143872
- Sum of all divisors σ(n): 1833062400
- Sum of proper divisors (its aliquot sum) s(n): 1290918528
- 542143872 is an abundant number, because the sum of its proper divisors (1290918528) is greater than itself. Its abundance is 748774656
Bases of 542143872
- Binary: 1000000101000001110101100000002
- Hexadecimal: 0x20507580
- Base-36: 8YS0W0
Squares and roots of 542143872
- 542143872 squared (5421438722) is 293919977947152384
- 542143872 cubed (5421438723) is 159346914902423804835790848
-
The
square root of 542143872 is 23283.9831643987 -
The
cube root of 542143872 is 815.4015219505
Scales and comparisons
How big is 542143872?- 542,143,872 seconds is equal to 17 years, 12 weeks, 2 days, 19 hours, 31 minutes, 12 seconds.
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To count from 1 to 542,143,872 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 542143872 cubic inches would be around 68 feet tall.
Recreational maths with 542143872
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