442056342
442,056,342 is an even composite number composed of six prime numbers multiplied together.
442056342 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 442056342:
2 × 3 × 73 × 132 × 31 × 41
(2 × 3 × 7 × 7 × 7 × 13 × 13 × 31 × 41)See below for interesting mathematical facts about the number 442056342 from the Numbermatics database.
Names of 442056342
- Cardinal: 442056342 can be written as Four hundred forty-two million, fifty-six thousand, three hundred forty-two.
Scientific notation
- Scientific notation: 4.42056342 × 108
Factors of 442056342
Divisors of 442056342
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 6 7 13 14 21 26 31 39 41 42 49 62 78 82 91 93 98 123 147 169 182 186 217 246 273 287 294 338 343 403 434 507 533 546 574 637 651 686 806 861 1014 1029 1066 1183 1209 1271 1274 1302 1519 1599 1722 1911 2009 2058 2366 2418 2542 2821 3038 3198 3549 3731 3813 3822 4018 4459 4557 5239 5642 6027 6929 7098 7462 7626 8281 8463 8897 8918 9114 10478 10633 11193 12054 13377 13858 14063 15717 16523 16562 16926 17794 19747 20787 21266 22386 24843 26117 26691 26754 28126 31434 31899 33046 36673 39494 41574 42189 48503 49569 49686 52234 53382 57967 59241 62279 63798 73346 78351 84378 97006 99138 110019 115661 115934 118482 124558 138229 145509 156702 173901 182819 186837 214799 220038 231322 256711 276458 291018 339521 346983 347802 365638 373674 414687 429598 435953 513422 548457 644397 679042 693966 770133 809627 829374 871906 1018563 1096914 1288794 1307859 1503593 1540266 1619254 1796977 2037126 2376647 2428881 2615718 3007186 3593954 4510779 4753294 4857762 5390931 5667389 7129941 9021558 10525151 10781862 11334778 14259882 17002167 21050302 31575453 34004334 63150906 73676057 147352114 221028171 442056342
- Sum of all divisors σ(n): 1180569600
- Sum of proper divisors (its aliquot sum) s(n): 738513258
- 442056342 is an abundant number, because the sum of its proper divisors (738513258) is greater than itself. Its abundance is 296456916
Bases of 442056342
- Binary: 110100101100100111110100101102
- Hexadecimal: 0x1A593E96
- Base-36: 7B6SUU
Squares and roots of 442056342
- 442056342 squared (4420563422) is 195413809502420964
- 442056342 cubed (4420563423) is 86383913804925051489953688
-
The
square root of 442056342 is 21025.1359567543 -
The
cube root of 442056342 is 761.7735254655
Scales and comparisons
How big is 442056342?- 442,056,342 seconds is equal to 14 years, 2 weeks, 6 days, 9 hours, 25 minutes, 42 seconds.
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To count from 1 to 442,056,342 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 442056342 cubic inches would be around 63.5 feet tall.
Recreational maths with 442056342
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