428148864
428,148,864 is an even composite number composed of six prime numbers multiplied together.
428148864 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 428148864:
27 × 32 × 11 × 13 × 23 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 23 × 113)See below for interesting mathematical facts about the number 428148864 from the Numbermatics database.
Names of 428148864
- Cardinal: 428148864 can be written as Four hundred twenty-eight million, one hundred forty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 4.28148864 × 108
Factors of 428148864
Divisors of 428148864
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 32 33 36 39 44 46 48 52 64 66 69 72 78 88 92 96 99 104 113 117 128 132 138 143 144 156 176 184 192 198 207 208 226 234 253 264 276 286 288 299 312 339 352 368 384 396 414 416 429 452 468 506 528 552 572 576 598 624 678 704 736 759 792 828 832 858 897 904 936 1012 1017 1056 1104 1144 1152 1196 1243 1248 1287 1356 1408 1469 1472 1518 1584 1656 1664 1716 1794 1808 1872 2024 2034 2112 2208 2277 2288 2392 2486 2496 2574 2599 2691 2712 2938 2944 3036 3168 3289 3312 3432 3588 3616 3729 3744 4048 4068 4224 4407 4416 4554 4576 4784 4972 4992 5148 5198 5382 5424 5876 6072 6336 6578 6624 6864 7176 7232 7458 7488 7797 8096 8136 8814 8832 9108 9152 9568 9867 9944 10296 10396 10764 10848 11187 11752 12144 12672 13156 13221 13248 13728 14352 14464 14916 14976 15594 16159 16192 16272 17628 18216 18304 19136 19734 19888 20592 20792 21528 21696 22374 23391 23504 24288 26312 26442 26496 27456 28589 28704 29601 29832 31188 32318 32384 32544 33787 35256 36432 38272 39468 39776 41184 41584 43056 43392 44748 46782 47008 48477 48576 52624 52884 54912 57178 57408 59202 59664 62376 64636 65088 67574 70512 72864 78936 79552 82368 83168 85767 86112 89496 93564 94016 96954 97152 101361 105248 105768 114356 114816 118404 119328 124752 129272 130176 135148 141024 145431 145728 157872 159104 164736 166336 171534 172224 178992 187128 188032 193908 202722 210496 211536 228712 236808 238656 249504 257301 258544 270296 282048 290862 291456 304083 315744 332672 343068 344448 357984 371657 374256 387816 405444 420992 423072 457424 473616 477312 499008 514602 517088 540592 564096 581724 608166 631488 686136 715968 743314 748512 775632 810888 846144 914848 947232 998016 1029204 1034176 1081184 1114971 1163448 1216332 1262976 1372272 1431936 1486628 1497024 1551264 1621776 1692288 1829696 1894464 2058408 2068352 2162368 2229942 2326896 2432664 2744544 2973256 2994048 3102528 3243552 3344913 3659392 3788928 4116816 4324736 4459884 4653792 4865328 5489088 5946512 6205056 6487104 6689826 8233632 8919768 9307584 9730656 10978176 11893024 12974208 13379652 16467264 17839536 18615168 19461312 23786048 26759304 32934528 35679072 38922624 47572096 53518608 71358144 107037216 142716288 214074432 428148864
- Sum of all divisors σ(n): 1523733120
- Sum of proper divisors (its aliquot sum) s(n): 1095584256
- 428148864 is an abundant number, because the sum of its proper divisors (1095584256) is greater than itself. Its abundance is 667435392
Bases of 428148864
- Binary: 110011000010100001000100000002
- Hexadecimal: 0x19850880
- Base-36: 72WPS0
Squares and roots of 428148864
- 428148864 squared (4281488642) is 183311449744490496
- 428148864 cubed (4281488643) is 78484588966296696121196544
-
The
square root of 428148864 is 20691.7583593081 -
The
cube root of 428148864 is 753.6995662731
Scales and comparisons
How big is 428148864?- 428,148,864 seconds is equal to 13 years, 31 weeks, 6 days, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 428,148,864 would take you about twenty 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 428148864 cubic inches would be around 62.8 feet tall.
Recreational maths with 428148864
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