442921400
442,921,400 is an even composite number composed of five prime numbers multiplied together.
442921400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 442921400:
23 × 52 × 172 × 79 × 97
(2 × 2 × 2 × 5 × 5 × 17 × 17 × 79 × 97)See below for interesting mathematical facts about the number 442921400 from the Numbermatics database.
Names of 442921400
- Cardinal: 442921400 can be written as Four hundred forty-two million, nine hundred twenty-one thousand, four hundred.
Scientific notation
- Scientific notation: 4.429214 × 108
Factors of 442921400
Divisors of 442921400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 17 20 25 34 40 50 68 79 85 97 100 136 158 170 194 200 289 316 340 388 395 425 485 578 632 680 776 790 850 970 1156 1343 1445 1580 1649 1700 1940 1975 2312 2425 2686 2890 3160 3298 3400 3880 3950 4850 5372 5780 6596 6715 7225 7663 7900 8245 9700 10744 11560 13192 13430 14450 15326 15800 16490 19400 22831 26860 28033 28900 30652 32980 33575 38315 41225 45662 53720 56066 57800 61304 65960 67150 76630 82450 91324 112132 114155 130271 134300 140165 153260 164900 182648 191575 224264 228310 260542 268600 280330 306520 329800 383150 456620 521084 560660 570775 651355 700825 766300 913240 1042168 1121320 1141550 1302710 1401650 1532600 2214607 2283100 2605420 2803300 3256775 4429214 4566200 5210840 5606600 6513550 8858428 11073035 13027100 17716856 22146070 26054200 44292140 55365175 88584280 110730350 221460700 442921400
- Sum of all divisors σ(n): 1119199200
- Sum of proper divisors (its aliquot sum) s(n): 676277800
- 442921400 is an abundant number, because the sum of its proper divisors (676277800) is greater than itself. Its abundance is 233356400
Bases of 442921400
- Binary: 110100110011001110001101110002
- Hexadecimal: 0x1A6671B8
- Base-36: 7BPCC8
Squares and roots of 442921400
- 442921400 squared (4429214002) is 196179366577960000
- 442921400 cubed (4429214003) is 86892039695823252344000000
-
The
square root of 442921400 is 21045.6978976703 -
The
cube root of 442921400 is 762.2701053777
Scales and comparisons
How big is 442921400?- 442,921,400 seconds is equal to 14 years, 4 weeks, 2 days, 9 hours, 43 minutes, 20 seconds.
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To count from 1 to 442,921,400 would take you about twenty-one 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 442921400 cubic inches would be around 63.5 feet tall.
Recreational maths with 442921400
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