442126412
442,126,412 is an even composite number composed of six prime numbers multiplied together.
442126412 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 442126412:
22 × 72 × 13 × 17 × 59 × 173
(2 × 2 × 7 × 7 × 13 × 17 × 59 × 173)See below for interesting mathematical facts about the number 442126412 from the Numbermatics database.
Names of 442126412
- Cardinal: 442126412 can be written as Four hundred forty-two million, one hundred twenty-six thousand, four hundred twelve.
Scientific notation
- Scientific notation: 4.42126412 × 108
Factors of 442126412
Divisors of 442126412
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 13 14 17 26 28 34 49 52 59 68 91 98 118 119 173 182 196 221 236 238 346 364 413 442 476 637 692 767 826 833 884 1003 1211 1274 1534 1547 1652 1666 2006 2249 2422 2548 2891 2941 3068 3094 3332 4012 4498 4844 5369 5782 5882 6188 7021 8477 8996 10207 10738 10829 11564 11764 13039 14042 15743 16954 20414 20587 21476 21658 26078 28084 31486 33908 37583 38233 40828 41174 43316 49147 52156 62972 71449 75166 76466 82348 91273 98294 110201 132691 142898 144109 150332 152932 173519 182546 196588 220402 265382 267631 285796 288218 347038 365092 440804 500143 530764 535262 576436 638911 694076 928837 1000286 1070524 1214633 1277822 1857674 1873417 2000572 2255747 2429266 2555644 3715348 3746834 4511494 4858532 6501859 7493668 8502431 9022988 13003718 15790229 17004862 26007436 31580458 34009724 63160916 110531603 221063206 442126412
- Sum of all divisors σ(n): 1049721120
- Sum of proper divisors (its aliquot sum) s(n): 607594708
- 442126412 is an abundant number, because the sum of its proper divisors (607594708) is greater than itself. Its abundance is 165468296
Bases of 442126412
- Binary: 110100101101001010000010011002
- Hexadecimal: 0x1A5A504C
- Base-36: 7B8AX8
Squares and roots of 442126412
- 442126412 squared (4421264122) is 195475764187993744
- 442126412 cubed (4421264123) is 86424998253395767513166528
-
The
square root of 442126412 is 21026.8022295355 -
The
cube root of 442126412 is 761.8137727113
Scales and comparisons
How big is 442126412?- 442,126,412 seconds is equal to 14 years, 3 weeks, 4 hours, 53 minutes, 32 seconds.
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To count from 1 to 442,126,412 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 442126412 cubic inches would be around 63.5 feet tall.
Recreational maths with 442126412
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