442134693
442,134,693 is an odd composite number composed of six prime numbers multiplied together.
442134693 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 442134693:
34 × 72 × 11 × 13 × 19 × 41
(3 × 3 × 3 × 3 × 7 × 7 × 11 × 13 × 19 × 41)See below for interesting mathematical facts about the number 442134693 from the Numbermatics database.
Names of 442134693
- Cardinal: 442134693 can be written as Four hundred forty-two million, one hundred thirty-four thousand, six hundred ninety-three.
Scientific notation
- Scientific notation: 4.42134693 × 108
Factors of 442134693
Divisors of 442134693
- Number of divisors d(n): 240
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Complete list of divisors:
1 3 7 9 11 13 19 21 27 33 39 41 49 57 63 77 81 91 99 117 123 133 143 147 171 189 209 231 247 273 287 297 351 369 399 429 441 451 513 533 539 567 627 637 693 741 779 819 861 891 931 1001 1053 1107 1197 1287 1323 1353 1463 1539 1599 1617 1729 1881 1911 2009 2079 2223 2337 2457 2583 2717 2793 3003 3157 3321 3591 3731 3861 3969 4059 4389 4797 4851 5187 5453 5643 5733 5863 6027 6237 6669 7007 7011 7371 7749 8151 8379 8569 9009 9471 10127 10241 10773 11193 11583 12103 12177 13167 14391 14553 15561 16359 16929 17199 17589 18081 19019 20007 21021 21033 22099 23247 24453 25137 25707 26117 27027 28413 30381 30723 33579 36309 36531 38171 39501 41041 43173 43659 46683 49077 51597 52767 54243 57057 59983 63063 63099 66297 70889 73359 75411 77121 78351 81081 85239 91143 92169 100737 108927 111397 114513 118503 123123 133133 140049 147231 158301 162729 171171 179949 189189 198891 212667 220077 231363 235053 255717 273429 276507 287287 302211 326781 334191 343539 369369 399399 419881 441693 474903 496223 513513 539847 567567 596673 638001 694089 705159 779779 820287 829521 861861 980343 1002573 1030617 1108107 1198197 1259643 1488669 1540539 1619541 1790019 1914003 2115477 2339337 2585583 3007719 3091851 3324321 3594591 3778929 4466007 4858623 5458453 5742009 7018011 7756749 9023157 10783773 11336787 13398021 16375359 21054033 23270247 34010361 40194063 49126077 63162099 147378231 442134693
- Sum of all divisors σ(n): 973304640
- Sum of proper divisors (its aliquot sum) s(n): 531169947
- 442134693 is an abundant number, because the sum of its proper divisors (531169947) is greater than itself. Its abundance is 89035254
Bases of 442134693
- Binary: 110100101101001110000101001012
- Hexadecimal: 0x1A5A70A5
- Base-36: 7B8HB9
Squares and roots of 442134693
- 442134693 squared (4421346932) is 195483086754204249
- 442134693 cubed (4421346933) is 86429854548762462090910557
-
The
square root of 442134693 is 21026.9991439581 -
The
cube root of 442134693 is 761.8185289231
Scales and comparisons
How big is 442134693?- 442,134,693 seconds is equal to 14 years, 3 weeks, 7 hours, 11 minutes, 33 seconds.
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To count from 1 to 442,134,693 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 442134693 cubic inches would be around 63.5 feet tall.
Recreational maths with 442134693
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