128628864
128,628,864 is an even composite number composed of five prime numbers multiplied together.
128628864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 128628864:
27 × 33 × 7 × 13 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 409)See below for interesting mathematical facts about the number 128628864 from the Numbermatics database.
Names of 128628864
- Cardinal: 128628864 can be written as One hundred twenty-eight million, six hundred twenty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.28628864 × 108
Factors of 128628864
Divisors of 128628864
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 128 144 156 168 182 189 192 208 216 224 234 252 273 288 312 336 351 364 378 384 409 416 432 448 468 504 546 576 624 672 702 728 756 818 819 832 864 896 936 1008 1092 1152 1227 1248 1344 1404 1456 1512 1636 1638 1664 1728 1872 2016 2184 2454 2457 2496 2688 2808 2863 2912 3024 3272 3276 3456 3681 3744 4032 4368 4908 4914 4992 5317 5616 5726 5824 6048 6544 6552 7362 7488 8064 8589 8736 9816 9828 10634 11043 11232 11452 11648 12096 13088 13104 14724 14976 15951 17178 17472 19632 19656 21268 22086 22464 22904 24192 25767 26176 26208 29448 31902 34356 34944 37219 39264 39312 42536 44172 44928 45808 47853 51534 52352 52416 58896 63804 68712 74438 77301 78528 78624 85072 88344 91616 95706 103068 104832 111657 117792 127608 137424 143559 148876 154602 157056 157248 170144 176688 183232 191412 206136 223314 235584 255216 274848 287118 297752 309204 314496 334971 340288 353376 366464 382824 412272 446628 471168 510432 549696 574236 595504 618408 669942 680576 706752 765648 824544 893256 1004913 1020864 1099392 1148472 1191008 1236816 1339884 1413504 1531296 1649088 1786512 2009826 2041728 2296944 2382016 2473632 2679768 3062592 3298176 3573024 4019652 4593888 4764032 4947264 5359536 6125184 7146048 8039304 9187776 9894528 10719072 14292096 16078608 18375552 21438144 32157216 42876288 64314432 128628864
- Sum of all divisors σ(n): 468384000
- Sum of proper divisors (its aliquot sum) s(n): 339755136
- 128628864 is an abundant number, because the sum of its proper divisors (339755136) is greater than itself. Its abundance is 211126272
Bases of 128628864
- Binary: 1111010101010111000100000002
- Hexadecimal: 0x7AAB880
- Base-36: 24KYO0
Squares and roots of 128628864
- 128628864 squared (1286288642) is 16545384653930496
- 128628864 cubed (1286288643) is 2128214032478112835436544
-
The
square root of 128628864 is 11341.4665718327 -
The
cube root of 128628864 is 504.7924042983
Scales and comparisons
How big is 128628864?- 128,628,864 seconds is equal to 4 years, 4 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 128,628,864 would take you about six 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 128628864 cubic inches would be around 42.1 feet tall.
Recreational maths with 128628864
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