138430646094825
138,430,646,094,825 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138430646094825 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
138430646094825 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138430646094825:
33 × 52 × 72 × 19 × 41 × 137 × 39217
(3 × 3 × 3 × 5 × 5 × 7 × 7 × 19 × 41 × 137 × 39217)See below for interesting mathematical facts about the number 138430646094825 from the Numbermatics database.
Names of 138430646094825
- Cardinal: 138430646094825 can be written as One hundred thirty-eight trillion, four hundred thirty billion, six hundred forty-six million, ninety-four thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.38430646094825 × 1014
Factors of 138430646094825
Divisors of 138430646094825
- Number of divisors d(n): 576
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Complete list of divisors:
1 3 5 7 9 15 19 21 25 27 35 41 45 49 57 63 75 95 105 123 133 135 137 147 171 175 189 205 225 245 285 287 315 369 399 411 441 475 513 525 615 665 675 685 735 779 855 861 931 945 959 1025 1107 1197 1225 1233 1323 1425 1435 1575 1845 1995 2009 2055 2205 2337 2565 2583 2603 2793 2877 3075 3325 3425 3591 3675 3699 3895 4275 4305 4655 4725 4795 5453 5535 5617 5985 6027 6165 6615 6713 7011 7175 7749 7809 8379 8631 9225 9975 10045 10275 11025 11685 12825 12915 13015 13965 14385 16359 16851 17955 18081 18221 18495 19475 20139 21033 21525 23275 23427 23975 25137 25893 27265 27675 28085 29925 30135 30825 33075 33565 35055 38171 38745 39045 39217 39319 41895 43155 49077 50225 50553 54243 54663 58425 60417 64575 65075 69825 70281 71925 81795 84255 89775 90405 91105 92475 100695 105165 106723 114513 117135 117651 117957 125685 127547 129465 136325 140425 147231 150675 151659 163989 167825 175275 181251 190855 193725 195225 196085 196595 209475 215775 245385 252765 271215 273315 274519 275233 302085 320169 343539 351405 352953 353871 382641 408975 421275 452025 455525 491967 503475 525825 533615 572565 585675 588255 589785 628425 637735 647325 736155 745123 747061 758295 819945 823557 825699 906255 954275 960507 980425 982975 1030617 1058859 1061613 1147923 1226925 1263825 1356075 1366575 1372595 1376165 1510425 1600845 1607897 1717695 1757025 1764765 1769355 1913205 1921633 2235369 2241183 2459835 2470671 2477097 2668075 2862825 2881521 2941275 2948925 3188675 3443769 3680775 3725615 3735305 3791475 4099725 4117785 4128495 4531275 4802535 4823691 5153085 5215861 5229427 5294295 5308065 5372729 5739615 5764899 6706107 6723549 6862975 6880825 7412013 7431291 8004225 8039485 8588475 8823825 8846775 9566025 9608165 11176845 11205915 11255279 12299175 12353355 12385485 14407605 14471073 15647583 15688281 16118187 17218845 17294697 18628075 18676525 20118321 20170647 20588925 20642475 24012675 24118455 25765425 26079305 26147135 26471475 26540325 26863645 28698075 28824495 30550043 33530535 33617745 33765837 36511027 37060065 37156455 37609103 40197425 43413219 46942749 47064843 48040825 48354561 51884091 55884225 56029575 56276395 61766775 61927425 72038025 72355365 78237915 78441405 78786953 80590935 86094225 86473485 91650129 100591605 100853235 101297511 102081851 109533081 112827309 120592275 130396525 130735675 134318225 140828247 141194529 144122475 145063683 152750215 167652675 168088725 168829185 182555135 185300325 185782275 188045515 213850301 217066095 220281889 234713745 235324215 236360859 241772805 259420455 263263721 274950387 281381975 303892533 306245553 328599243 338481927 361776825 391189575 392207025 393934765 402954675 432367425 458250645 502958025 504266175 506487555 510409255 547665405 564136545 641550903 660845667 704141235 705972645 709082577 714572957 725318415 763751075 789791163 824851161 844145925 912775675 918736659 940227575 985797729 1015445781 1069251505 1085330475 1101409445 1173568725 1176621075 1181804295 1208864025 1297102275 1316318605 1374751935 1496952107 1519462665 1531227765 1541973223 1642996215 1692409635 1924652709 1969673825 1982537001 2127247731 2143718871 2291253225 2369373489 2532437775 2552046275 2738327025 2756209977 2820682725 3207754515 3304228335 3520706175 3529863225 3545412885 3572864785 3626592075 3948955815 4124255805 4185355891 4490856321 4593683295 4625919669 4928988645 5002010699 5077228905 5346257525 5507047225 5773958127 5909021475 5947611003 6431156613 6581593025 6873759675 7108120467 7484760535 7597313325 7656138825 7709866115 8214981075 8462048175 9623263545 9912685005 10636238655 10718594355 10793812561 11846867445 12556067673 13472568963 13781049885 13877759007 15006032097 16038772575 16521141675 17727064425 17864323925 19293469839 19744779075 20621279025 20926779455 22454281605 22968416475 23129598345 24644943225 25010053495 25386144525 28869790635 29297491237 29738055015 32155783065 32381437683 35540602335 37423802675 37668203019 38549330575 40417706889 41633277021 45018096291 48116317725 49563425025 53181193275 53592971775 53969062805 59234337225 62780338365 67362844815 68905249425 69388795035 75030160485 87892473711 96467349195 97144313049 104633897275 112271408025 113004609057 115647991725 125050267475 135054288873 144348953175 146487456185 148690275075 160778915325 161907188415 177703011675 188341015095 202088534445 205082438659 208166385105 225090481455 263677421133 269845314025 291432939147 313901691825 336814224075 346943975175 375150802425 439462368555 482336745975 485721565245 565023045285 615247315977 675271444365 732437280925 791032263399 809535942075 941705075475 1010442672225 1025412193295 1040831925525 1125452407275 1318387105665 1457164695735 1845741947931 2197311842775 2428607826225 2825115226425 3076236579885 3376357221825 3955161316995 5127060966475 5537225843793 6591935528325 7285823478675 9228709739655 15381182899425 19775806584975 27686129218965 46143548698275 138430646094825
- Sum of all divisors σ(n): 321321921580800
- Sum of proper divisors (its aliquot sum) s(n): 182891275485975
- 138430646094825 is an abundant number, because the sum of its proper divisors (182891275485975) is greater than itself. Its abundance is 44460629391150
Bases of 138430646094825
- Binary: 111110111100110111001010111110010001011111010012
- Hexadecimal: 0x7DE6E57C8BE9
- Base-36: 1D2I5SIEW9
Squares and roots of 138430646094825
- 138430646094825 squared (1384306460948252) is 19163043778230688022891780625
- 138430646094825 cubed (1384306460948253) is 2652752531363890506304096971779746847765625
-
The
square root of 138430646094825 is 11765655.3618922987 -
The
cube root of 138430646094825 is 51730.1910035167
Scales and comparisons
How big is 138430646094825?- 138,430,646,094,825 seconds is equal to 4,401,666 years, 18 weeks, 2 days, 33 minutes, 45 seconds.
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To count from 1 to 138,430,646,094,825 would take you about eleven million, four thousand, one hundred sixty-five 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 138430646094825 cubic inches would be around 4310.8 feet tall.
Recreational maths with 138430646094825
- 138430646094825 backwards is 528490646034831
- 138430646094825 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138430646094825's digits is 63
- More coming soon!
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The information we have on file for 138430646094825 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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