442074105
442,074,105 is an odd composite number composed of five prime numbers multiplied together.
442074105 is an odd 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 442074105:
35 × 5 × 112 × 31 × 97
(3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 31 × 97)See below for interesting mathematical facts about the number 442074105 from the Numbermatics database.
Names of 442074105
- Cardinal: 442074105 can be written as Four hundred forty-two million, seventy-four thousand, one hundred five.
Scientific notation
- Scientific notation: 4.42074105 × 108
Factors of 442074105
Divisors of 442074105
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 9 11 15 27 31 33 45 55 81 93 97 99 121 135 155 165 243 279 291 297 341 363 405 465 485 495 605 837 873 891 1023 1067 1089 1215 1395 1455 1485 1705 1815 2511 2619 2673 3007 3069 3201 3267 3751 4185 4365 4455 5115 5335 5445 7533 7857 9021 9207 9603 9801 11253 11737 12555 13095 13365 15035 15345 16005 16335 18755 23571 27063 27621 28809 29403 33077 33759 35211 37665 39285 45105 46035 48015 49005 56265 58685 81189 82863 86427 99231 101277 105633 117855 135315 138105 144045 147015 165385 168795 176055 243567 259281 297693 303831 316899 363847 405945 414315 432135 496155 506385 528165 730701 893079 911493 950697 1091541 1217835 1296405 1488465 1519155 1584495 1819235 2679237 2852091 3274623 3653505 4465395 4557465 4753485 5457705 8037711 9823869 13396185 14260455 16373115 29471607 40188555 49119345 88414821 147358035 442074105
- Sum of all divisors σ(n): 910920192
- Sum of proper divisors (its aliquot sum) s(n): 468846087
- 442074105 is an abundant number, because the sum of its proper divisors (468846087) is greater than itself. Its abundance is 26771982
Bases of 442074105
- Binary: 110100101100110000011111110012
- Hexadecimal: 0x1A5983F9
- Base-36: 7B76K9
Squares and roots of 442074105
- 442074105 squared (4420741052) is 195429514311551025
- 442074105 cubed (4420741053) is 86394327629863610538707625
-
The
square root of 442074105 is 21025.5583754631 -
The
cube root of 442074105 is 761.7837286913
Scales and comparisons
How big is 442074105?- 442,074,105 seconds is equal to 14 years, 2 weeks, 6 days, 14 hours, 21 minutes, 45 seconds.
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To count from 1 to 442,074,105 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 442074105 cubic inches would be around 63.5 feet tall.
Recreational maths with 442074105
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