345344686917342
345,344,686,917,342 is an even composite number composed of eight prime numbers multiplied together.
345344686917342 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 345344686917342:
2 × 3 × 7 × 31 × 73 × 811 × 1093 × 4099
See below for interesting mathematical facts about the number 345344686917342 from the Numbermatics database.
Names of 345344686917342
- Cardinal: 345344686917342 can be written as Three hundred forty-five trillion, three hundred forty-four billion, six hundred eighty-six million, nine hundred seventeen thousand, three hundred forty-two.
Scientific notation
- Scientific notation: 3.45344686917342 × 1014
Factors of 345344686917342
Divisors of 345344686917342
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 6 7 14 21 31 42 62 73 93 146 186 217 219 434 438 511 651 811 1022 1093 1302 1533 1622 2186 2263 2433 3066 3279 4099 4526 4866 5677 6558 6789 7651 8198 11354 12297 13578 15302 15841 17031 22953 24594 25141 28693 31682 33883 34062 45906 47523 50282 57386 59203 67766 75423 79789 86079 95046 101649 118406 127069 150846 159578 172158 175987 177609 203298 237181 239367 254138 299227 351974 355218 381207 414421 474362 478734 527961 558523 598454 711543 762414 828842 886423 889483 897681 1055922 1117046 1243263 1423086 1675569 1772846 1778966 1795362 1835293 2094589 2473459 2486526 2659269 2668449 3324289 3351138 3670586 4189178 4480207 4946918 5318538 5336898 5505879 6204961 6283767 6648578 7420377 8960414 9276037 9972867 11011758 12409922 12567534 12847051 13440621 14840754 17314213 18552074 18614883 19945734 23270023 25694102 26881242 27479113 27828111 31361449 34628426 37229766 38541153 46540046 51942639 54958226 55656222 62722898 64708879 64932259 69810069 77082306 82437339 94084347 103052959 103885278 129417758 129864518 138886417 139620138 164874678 188168694 192353791 194126637 194796777 206105918 242673097 277772834 309158877 327055111 384707582 388253274 389593554 416659251 452962153 485346194 577061373 618317754 654110222 721370713 728019291 833318502 905924306 972204919 981165333 1154122746 1358886459 1442741426 1456038582 1698711679 1944409838 1962330666 2005975249 2164112139 2289385777 2717772918 2916614757 3397423358 3633447877 4011950498 4328224278 4578771554 5096135037 5833229514 6017925747 6868157331 7266895754 7522866007 10138708441 10192270074 10900343631 12035851494 13736314662 14041826743 15045732014 20277416882 21800687262 22568598021 25434135139 28083653486 30416125323 42125480229 45137196042 50868270278 52660062049 60832250646 70970959087 76302405417 84250960458 105320124098 112636884187 141941918174 152604810834 157980186147 212912877261 225273768374 265241695021 315960372294 337910652561 425825754522 530483390042 675821305122 788458189309 795725085063 1576916378618 1591450170126 1856691865147 2365374567927 3713383730294 4730749135854 5570075595441 8222492545651 11140151190882 16444985091302 24667477636953 49334955273906 57557447819557 115114895639114 172672343458671 345344686917342
- Sum of all divisors σ(n): 827961493094400
- Sum of proper divisors (its aliquot sum) s(n): 482616806177058
- 345344686917342 is an abundant number, because the sum of its proper divisors (482616806177058) is greater than itself. Its abundance is 137272119259716
Bases of 345344686917342
- Binary: 10011101000010110110100110110001110000110110111102
- Hexadecimal: 0x13A16D36386DE
- Base-36: 3EEX5Q1ZA6
Squares and roots of 345344686917342
- 345344686917342 squared (3453446869173422) is 119262952782036966730740344964
- 345344686917342 cubed (3453446869173423) is 41186827089350298346999326113835070833965688
-
The
square root of 345344686917342 is 18583451.9645124597 -
The
cube root of 345344686917342 is 70159.1404417795
Scales and comparisons
How big is 345344686917342?- 345,344,686,917,342 seconds is equal to 10,980,892 years, 42 weeks, 5 days, 11 hours, 15 minutes, 42 seconds.
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To count from 1 to 345,344,686,917,342 would take you about twenty-seven million, four hundred fifty-two thousand, two hundred thirty-two 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 345344686917342 cubic inches would be around 5846.6 feet tall.
Recreational maths with 345344686917342
- 345344686917342 backwards is 243719686443543
- The number of decimal digits it has is: 15
- The sum of 345344686917342's digits is 69
- More coming soon!
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