34631142
34,631,142 is an even composite number composed of six prime numbers multiplied together.
34631142 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 34631142:
2 × 3 × 72 × 132 × 17 × 41
(2 × 3 × 7 × 7 × 13 × 13 × 17 × 41)See below for interesting mathematical facts about the number 34631142 from the Numbermatics database.
Names of 34631142
- Cardinal: 34631142 can be written as Thirty-four million, six hundred thirty-one thousand, one hundred forty-two.
Scientific notation
- Scientific notation: 3.4631142 × 107
Factors of 34631142
Divisors of 34631142
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 7 13 14 17 21 26 34 39 41 42 49 51 78 82 91 98 102 119 123 147 169 182 221 238 246 273 287 294 338 357 442 507 533 546 574 637 663 697 714 833 861 1014 1066 1183 1274 1326 1394 1547 1599 1666 1722 1911 2009 2091 2366 2499 2873 3094 3198 3549 3731 3822 4018 4182 4641 4879 4998 5746 6027 6929 7098 7462 8281 8619 9061 9282 9758 10829 11193 12054 13858 14637 16562 17238 18122 20111 20787 21658 22386 24843 26117 27183 29274 32487 34153 40222 41574 48503 49686 52234 54366 60333 63427 64974 68306 78351 97006 102459 117793 120666 126854 140777 145509 156702 190281 204918 235586 281554 291018 339521 353379 380562 422331 443989 679042 706758 824551 844662 887978 1018563 1331967 1649102 2037126 2473653 2663934 4947306 5771857 11543714 17315571 34631142
- Sum of all divisors σ(n): 94630032
- Sum of proper divisors (its aliquot sum) s(n): 59998890
- 34631142 is an abundant number, because the sum of its proper divisors (59998890) is greater than itself. Its abundance is 25367748
Bases of 34631142
- Binary: 100001000001101101111001102
- Hexadecimal: 0x2106DE6
- Base-36: KM9K6
Squares and roots of 34631142
- 34631142 squared (346311422) is 1199315996224164
- 34631142 cubed (346311423) is 41533682568110487315288
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The
square root of 34631142 is 5884.8230219779 -
The
cube root of 34631142 is 325.9534667043
Scales and comparisons
How big is 34631142?- 34,631,142 seconds is equal to 1 year, 5 weeks, 1 day, 19 hours, 45 minutes, 42 seconds.
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To count from 1 to 34,631,142 would take you about thirty-three weeks!
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 34631142 cubic inches would be around 27.2 feet tall.
Recreational maths with 34631142
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