442068144
442,068,144 is an even composite number composed of six prime numbers multiplied together.
442068144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 442068144:
24 × 3 × 7 × 67 × 73 × 269
(2 × 2 × 2 × 2 × 3 × 7 × 67 × 73 × 269)See below for interesting mathematical facts about the number 442068144 from the Numbermatics database.
Names of 442068144
- Cardinal: 442068144 can be written as Four hundred forty-two million, sixty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.42068144 × 108
Factors of 442068144
Divisors of 442068144
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 73 84 112 134 146 168 201 219 268 269 292 336 402 438 469 511 536 538 584 804 807 876 938 1022 1072 1076 1168 1407 1533 1608 1614 1752 1876 1883 2044 2152 2814 3066 3216 3228 3504 3752 3766 4088 4304 4891 5628 5649 6132 6456 7504 7532 8176 9782 11256 11298 12264 12912 14673 15064 18023 19564 19637 22512 22596 24528 29346 30128 34237 36046 39128 39274 45192 54069 58692 58911 68474 72092 78256 78548 90384 102711 108138 117384 117822 126161 136948 137459 144184 157096 205422 216276 234768 235644 252322 273896 274918 288368 314192 378483 410844 412377 432552 471288 504644 547792 549836 756966 821688 824754 865104 942576 1009288 1099672 1315679 1513932 1643376 1649508 2018576 2199344 2631358 3027864 3299016 3947037 5262716 6055728 6598032 7894074 9209753 10525432 15788148 18419506 21050864 27629259 31576296 36839012 55258518 63152592 73678024 110517036 147356048 221034072 442068144
- Sum of all divisors σ(n): 1347770880
- Sum of proper divisors (its aliquot sum) s(n): 905702736
- 442068144 is an abundant number, because the sum of its proper divisors (905702736) is greater than itself. Its abundance is 463634592
Bases of 442068144
- Binary: 110100101100101101100101100002
- Hexadecimal: 0x1A596CB0
- Base-36: 7B71YO
Squares and roots of 442068144
- 442068144 squared (4420681442) is 195424243939604736
- 442068144 cubed (4420681443) is 86390832810984313737129984
-
The
square root of 442068144 is 21025.4166189401 -
The
cube root of 442068144 is 761.7803046701
Scales and comparisons
How big is 442068144?- 442,068,144 seconds is equal to 14 years, 2 weeks, 6 days, 12 hours, 42 minutes, 24 seconds.
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To count from 1 to 442,068,144 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 442068144 cubic inches would be around 63.5 feet tall.
Recreational maths with 442068144
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