420907968
420,907,968 is an even composite number composed of five prime numbers multiplied together.
420907968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 420907968:
26 × 33 × 13 × 41 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 41 × 457)See below for interesting mathematical facts about the number 420907968 from the Numbermatics database.
Names of 420907968
- Cardinal: 420907968 can be written as Four hundred twenty million, nine hundred seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.20907968 × 108
Factors of 420907968
Divisors of 420907968
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 41 48 52 54 64 72 78 82 96 104 108 117 123 144 156 164 192 208 216 234 246 288 312 328 351 369 416 432 457 468 492 533 576 624 656 702 738 832 864 914 936 984 1066 1107 1248 1312 1371 1404 1476 1599 1728 1828 1872 1968 2132 2214 2496 2624 2742 2808 2952 3198 3656 3744 3936 4113 4264 4428 4797 5484 5616 5904 5941 6396 7312 7488 7872 8226 8528 8856 9594 10968 11232 11808 11882 12339 12792 14391 14624 16452 17056 17712 17823 18737 19188 21936 22464 23616 23764 24678 25584 28782 29248 32904 34112 35424 35646 37474 38376 43872 47528 49356 51168 53469 56211 57564 65808 70848 71292 74948 76752 87744 95056 98712 102336 106938 112422 115128 131616 142584 149896 153504 160407 168633 190112 197424 213876 224844 230256 243581 263232 285168 299792 307008 320814 337266 380224 394848 427752 449688 460512 487162 505899 570336 599584 641628 674532 730743 789696 855504 899376 921024 974324 1011798 1140672 1199168 1283256 1349064 1461486 1711008 1798752 1948648 2023596 2192229 2566512 2698128 2922972 3422016 3597504 3897296 4047192 4384458 5133024 5396256 5845944 6576687 7794592 8094384 8768916 10266048 10792512 11691888 13153374 15589184 16188768 17537832 23383776 26306748 32377536 35075664 46767552 52613496 70151328 105226992 140302656 210453984 420907968
- Sum of all divisors σ(n): 1368064320
- Sum of proper divisors (its aliquot sum) s(n): 947156352
- 420907968 is an abundant number, because the sum of its proper divisors (947156352) is greater than itself. Its abundance is 526248384
Bases of 420907968
- Binary: 110010001011010001011110000002
- Hexadecimal: 0x19168BC0
- Base-36: 6YLIO0
Squares and roots of 420907968
- 420907968 squared (4209079682) is 177163517525889024
- 420907968 cubed (4209079683) is 74569536165554336485343232
-
The
square root of 420907968 is 20516.0417234905 -
The
cube root of 420907968 is 749.4265055841
Scales and comparisons
How big is 420907968?- 420,907,968 seconds is equal to 13 years, 19 weeks, 6 days, 14 hours, 52 minutes, 48 seconds.
-
To count from 1 to 420,907,968 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 420907968 cubic inches would be around 62.5 feet tall.
Recreational maths with 420907968
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