442421980
442,421,980 is an even composite number composed of six prime numbers multiplied together.
442421980 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 442421980:
22 × 5 × 73 × 112 × 13 × 41
(2 × 2 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 41)See below for interesting mathematical facts about the number 442421980 from the Numbermatics database.
Names of 442421980
- Cardinal: 442421980 can be written as Four hundred forty-two million, four hundred twenty-one thousand, nine hundred eighty.
Scientific notation
- Scientific notation: 4.4242198 × 108
Factors of 442421980
Divisors of 442421980
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 10 11 13 14 20 22 26 28 35 41 44 49 52 55 65 70 77 82 91 98 110 121 130 140 143 154 164 182 196 205 220 242 245 260 286 287 308 343 364 385 410 451 455 484 490 533 539 572 574 605 637 686 715 770 820 847 902 910 980 1001 1066 1078 1148 1210 1274 1372 1430 1435 1540 1573 1694 1715 1804 1820 2002 2009 2132 2156 2255 2420 2548 2665 2695 2860 2870 3146 3157 3185 3388 3430 3731 3773 4004 4018 4235 4459 4510 4961 5005 5330 5390 5740 5863 5929 6292 6314 6370 6860 7007 7462 7546 7865 8036 8470 8918 9020 9922 10010 10045 10660 10780 11011 11726 11858 12628 12740 14014 14063 14924 15092 15730 15785 16940 17836 18655 18865 19844 20020 20090 22022 22099 22295 23452 23716 24805 26117 28028 28126 29315 29645 31460 31570 34727 35035 37310 37730 40180 41041 41503 44044 44198 44590 49049 49610 52234 55055 56252 58630 59290 63140 64493 69454 70070 70315 74620 75460 77077 82082 83006 88396 89180 98098 99220 104468 110110 110495 117260 118580 128986 130585 138908 140140 140630 154154 154693 164164 166012 173635 182819 196196 205205 207515 220220 220990 243089 245245 257972 261170 281260 287287 308308 309386 322465 347270 365638 385385 410410 415030 441980 451451 486178 490490 522340 539539 574574 618772 644930 694540 731276 770770 773465 820820 830060 902902 914095 972356 980980 1079078 1149148 1215445 1289860 1436435 1541540 1546930 1701623 1805804 1828190 2011009 2158156 2257255 2430890 2697695 2872870 3093860 3160157 3403246 3656380 4022018 4514510 4861780 5395390 5745740 6320314 6806492 8044036 8508115 9029020 10055045 10790780 12640628 15800785 17016230 20110090 22121099 31601570 34032460 40220180 44242198 63203140 88484396 110605495 221210990 442421980
- Sum of all divisors σ(n): 1313827200
- Sum of proper divisors (its aliquot sum) s(n): 871405220
- 442421980 is an abundant number, because the sum of its proper divisors (871405220) is greater than itself. Its abundance is 428983240
Bases of 442421980
- Binary: 110100101111011010010110111002
- Hexadecimal: 0x1A5ED2DC
- Base-36: 7BEMZG
Squares and roots of 442421980
- 442421980 squared (4424219802) is 195737208387120400
- 442421980 cubed (4424219803) is 86598443294302413866392000
-
The
square root of 442421980 is 21033.8294183441 -
The
cube root of 442421980 is 761.9834961281
Scales and comparisons
How big is 442421980?- 442,421,980 seconds is equal to 14 years, 3 weeks, 3 days, 14 hours, 59 minutes, 40 seconds.
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To count from 1 to 442,421,980 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 442421980 cubic inches would be around 63.5 feet tall.
Recreational maths with 442421980
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"Number 442421980 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 442421980 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/442421980/
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The information we have on file for 442421980 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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