135122589308952
135,122,589,308,952 is an even composite number composed of five prime numbers multiplied together.
135122589308952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135122589308952:
23 × 33 × 73 × 5212 × 6719
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 521 × 521 × 6719)See below for interesting mathematical facts about the number 135122589308952 from the Numbermatics database.
Names of 135122589308952
- Cardinal: 135122589308952 can be written as One hundred thirty-five trillion, one hundred twenty-two billion, five hundred eighty-nine million, three hundred eight thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.35122589308952 × 1014
Factors of 135122589308952
Divisors of 135122589308952
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 521 588 686 756 882 1029 1042 1176 1323 1372 1512 1563 1764 2058 2084 2646 2744 3087 3126 3528 3647 4116 4168 4689 5292 6174 6252 6719 7294 8232 9261 9378 10584 10941 12348 12504 13438 14067 14588 18522 18756 20157 21882 24696 25529 26876 28134 29176 32823 37044 37512 40314 43764 47033 51058 53752 56268 60471 65646 74088 76587 80628 87528 94066 98469 102116 112536 120942 131292 141099 153174 161256 178703 181413 188132 196938 204232 229761 241884 262584 271441 282198 306348 329231 357406 362826 376264 393876 423297 459522 483768 536109 542882 564396 612696 658462 689283 714812 725652 787752 814323 846594 919044 987693 1072218 1085764 1128792 1269891 1316924 1378566 1429624 1451304 1608327 1628646 1693188 1838088 1900087 1975386 2144436 2171528 2304617 2442969 2539782 2633848 2757132 2963079 3216654 3257292 3386376 3500599 3800174 3950772 4288872 4609234 4824981 4885938 5079564 5514264 5700261 5926158 6433308 6514584 6913851 7001198 7328907 7600348 7901544 8889237 9218468 9649962 9771876 10159128 10501797 11400522 11852316 12866616 13300609 13827702 14002396 14657814 15200696 17100783 17778474 18436936 19299924 19543752 20741553 21003594 22801044 23704632 24504193 26601218 27655404 28004792 29315628 31505391 34201566 35556948 38599848 39901827 41483106 42007188 45602088 49008386 51302349 53202436 55310808 58631256 62224659 63010782 68403132 71113896 73512579 79803654 82966212 84014376 93104263 94516173 98016772 102604698 106404872 119705481 124449318 126021564 136806264 147025158 159607308 165932424 171529351 186208526 189032346 196033544 205209396 220537737 239410962 248898636 252043128 279312789 294050316 319214616 343058702 359116443 372417052 378064692 410418792 441075474 478821924 497797272 514588053 558625578 588100632 661613211 686117404 718232886 744834104 756129384 837938367 882150948 957643848 1029176106 1117251156 1200705457 1323226422 1372234808 1436465772 1543764159 1675876734 1764301896 1823812079 2058352212 2234502312 2401410914 2513815101 2646452844 2872931544 3087528318 3351753468 3602116371 3647624158 4116704424 4631292477 4802821828 5027630202 5292905688 5471436237 6175056636 6703506936 7204232742 7295248316 9262584954 9605643656 10055260404 10806349113 10942872474 12350113272 12766684553 14408465484 14590496632 16414308711 18525169908 20110520808 21612698226 21885744948 25533369106 28816930968 32419047339 32828617422 37050339816 38300053659 43225396452 43771489896 49242926133 51066738212 64838094678 65657234844 76600107318 86450792904 89366791871 98485852266 102133476424 114900160977 129676189356 131314469688 153200214636 178733583742 196971704532 229800321954 259352378712 268100375613 306400429272 344700482931 357467167484 393943409064 459600643908 536200751226 625567543097 689400965862 714934334968 804301126839 919201287816 1072401502452 1251135086194 1378801931724 1608602253678 1876702629291 2144803004904 2412903380517 2502270172388 2757603863448 3217204507356 3753405258582 4825806761034 5004540344776 5630107887873 6434409014712 7506810517164 9651613522068 11260215775746 15013621034328 16890323663619 19303227044136 22520431551492 33780647327238 45040863102984 67561294654476 135122589308952
- Sum of all divisors σ(n): 438621926400000
- Sum of proper divisors (its aliquot sum) s(n): 303499337091048
- 135122589308952 is an abundant number, because the sum of its proper divisors (303499337091048) is greater than itself. Its abundance is 168376747782096
Bases of 135122589308952
- Binary: 111101011100100101011011110111111011000000110002
- Hexadecimal: 0x7AE4ADEFD818
- Base-36: 1BWAGKWUU0
Squares and roots of 135122589308952
- 135122589308952 squared (1351225893089522) is 18258114141555709328907338304
- 135122589308952 cubed (1351225893089523) is 2467083658705400812515331601319929039697408
-
The
square root of 135122589308952 is 11624224.2454691143 -
The
cube root of 135122589308952 is 51314.8014632913
Scales and comparisons
How big is 135122589308952?- 135,122,589,308,952 seconds is equal to 4,296,480 years, 19 weeks, 4 days, 17 hours, 49 minutes, 12 seconds.
-
To count from 1 to 135,122,589,308,952 would take you about ten million, seven hundred forty-one thousand, two hundred 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 135122589308952 cubic inches would be around 4276.2 feet tall.
Recreational maths with 135122589308952
- 135122589308952 backwards is 259803985221531
- 135122589308952 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135122589308952's digits is 63
- More coming soon!
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