422144400
422,144,400 is an even composite number composed of six prime numbers multiplied together.
422144400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 422144400:
24 × 3 × 52 × 61 × 73 × 79
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 61 × 73 × 79)See below for interesting mathematical facts about the number 422144400 from the Numbermatics database.
Names of 422144400
- Cardinal: 422144400 can be written as Four hundred twenty-two million, one hundred forty-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.221444 × 108
Factors of 422144400
Divisors of 422144400
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 61 73 75 79 80 100 120 122 146 150 158 183 200 219 237 240 244 292 300 305 316 365 366 395 400 438 474 488 584 600 610 632 730 732 790 876 915 948 976 1095 1168 1185 1200 1220 1264 1460 1464 1525 1580 1752 1825 1830 1896 1975 2190 2370 2440 2920 2928 3050 3160 3504 3650 3660 3792 3950 4380 4453 4575 4740 4819 4880 5475 5767 5840 5925 6100 6320 7300 7320 7900 8760 8906 9150 9480 9638 10950 11534 11850 12200 13359 14457 14600 14640 15800 17301 17520 17812 18300 18960 19276 21900 22265 23068 23700 24095 24400 26718 28835 28914 29200 31600 34602 35624 36600 38552 43800 44530 46136 47400 48190 53436 57670 57828 66795 69204 71248 72285 73200 77104 86505 87600 89060 92272 94800 96380 106872 111325 115340 115656 120475 133590 138408 144175 144570 173010 178120 192760 213744 222650 230680 231312 240950 267180 276816 288350 289140 333975 346020 351787 356240 361425 385520 432525 445300 461360 481900 534360 576700 578280 667950 692040 703574 722850 865050 890600 963800 1055361 1068720 1153400 1156560 1335900 1384080 1407148 1445700 1730100 1758935 1781200 1927600 2110722 2306800 2671800 2814296 2891400 3460200 3517870 4221444 5276805 5343600 5628592 5782800 6920400 7035740 8442888 8794675 10553610 14071480 16885776 17589350 21107220 26384025 28142960 35178700 42214440 52768050 70357400 84428880 105536100 140714800 211072200 422144400
- Sum of all divisors σ(n): 1410901760
- Sum of proper divisors (its aliquot sum) s(n): 988757360
- 422144400 is an abundant number, because the sum of its proper divisors (988757360) is greater than itself. Its abundance is 566612960
Bases of 422144400
- Binary: 110010010100101101001100100002
- Hexadecimal: 0x19296990
- Base-36: 6ZC0PC
Squares and roots of 422144400
- 422144400 squared (4221444002) is 178205894451360000
- 422144400 cubed (4221444003) is 75228620389632696384000000
-
The
square root of 422144400 is 20546.1529245745 -
The
cube root of 422144400 is 750.1596104747
Scales and comparisons
How big is 422144400?- 422,144,400 seconds is equal to 13 years, 21 weeks, 6 days, 22 hours, 20 minutes.
-
To count from 1 to 422,144,400 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 422144400 cubic inches would be around 62.5 feet tall.
Recreational maths with 422144400
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