137813287501125
137,813,287,501,125 is an odd composite number composed of four prime numbers multiplied together.
What does the number 137813287501125 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 396 divisors.
137813287501125 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred ninety-six divisors.
Prime factorization of 137813287501125:
310 × 53 × 292 × 1492
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 29 × 149 × 149)See below for interesting mathematical facts about the number 137813287501125 from the Numbermatics database.
Names of 137813287501125
- Cardinal: 137813287501125 can be written as One hundred thirty-seven trillion, eight hundred thirteen billion, two hundred eighty-seven million, five hundred one thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.37813287501125 × 1014
Factors of 137813287501125
Divisors of 137813287501125
- Number of divisors d(n): 396
-
Complete list of divisors:
1 3 5 9 15 25 27 29 45 75 81 87 125 135 145 149 225 243 261 375 405 435 447 675 725 729 745 783 841 1125 1215 1305 1341 2025 2175 2187 2235 2349 2523 3375 3625 3645 3725 3915 4023 4205 4321 6075 6525 6561 6705 7047 7569 10125 10875 10935 11175 11745 12069 12615 12963 18225 18625 19575 19683 20115 21025 21141 21605 22201 22707 30375 32625 32805 33525 35235 36207 37845 38889 54675 55875 58725 59049 60345 63075 63423 64815 66603 68121 91125 97875 98415 100575 105125 105705 108025 108621 111005 113535 116667 125309 164025 167625 176175 181035 189225 190269 194445 199809 204363 273375 293625 295245 301725 315375 317115 324075 325863 333015 340605 350001 375927 492075 502875 528525 540125 543105 555025 567675 570807 583335 599427 613089 626545 643829 820125 880875 905175 946125 951345 972225 977589 999045 1021815 1050003 1127781 1476225 1508625 1585575 1620375 1629315 1665075 1703025 1712421 1750005 1798281 1839267 1879635 1931487 2460375 2642625 2715525 2775125 2838375 2854035 2916675 2932767 2997135 3065445 3132725 3150009 3219145 3383343 4525875 4756725 4861125 4887945 4995225 5109075 5250015 5394843 5517801 5638905 5794461 7381125 7927875 8146575 8325375 8515125 8562105 8750025 8798301 8991405 9196335 9398175 9450027 9657435 10150029 13577625 14270175 14583375 14663835 14985675 15327225 15663625 15750045 16095725 16184529 16553403 16916715 17383383 18671041 23783625 24439725 24976125 25545375 26250075 26974215 27589005 28194525 28350081 28972305 30450087 40732875 42810525 43750125 43991505 44957025 45981675 46990875 47250135 48287175 48553587 49660209 50750145 52150149 56013123 71350875 73319175 74928375 76636125 78750225 80478625 80922645 82767015 84583575 85050243 86916915 91350261 93355205 122198625 131250375 134871075 137945025 140972625 141750405 144861525 145660761 152250435 156450447 168039369 214052625 219957525 224785125 229908375 236250675 241435875 242767935 248301045 253750725 255150729 260750745 274050783 280065615 366595875 393751125 404613225 413835075 422917875 425251215 434584575 436982283 456751305 466776025 469351341 504118107 674355375 689725125 708752025 724307625 728303805 761252175 782252235 822152349 840196845 1099787625 1181253375 1213839675 1241505225 1268753625 1275753645 1303753725 1310946849 1370253915 1400328075 1408054023 1512354321 2023066125 2069175375 2126256075 2172922875 2184911415 2283756525 2333880125 2346756705 2466457047 2520590535 3543760125 3641519025 3806260875 3911261175 4110761745 4200984225 4224162069 4537062963 6069198375 6207526125 6378768225 6518768625 6554734245 6851269575 7001640375 7040270115 7399371141 7561771605 10631280375 10924557075 11418782625 11733783525 12332285235 12602952675 12672486207 13611188889 18207595125 19556305875 20553808725 21004921125 21120810345 22685314815 31893841125 32773671225 34256347875 35201350575 36996855705 37808858025 38017458621 40833566667 54622785375 58668917625 61661426175 63014763375 63362431035 68055944445 102769043625 105604051725 113426574075 122500700001 163868356125 176006752875 184984278525 189044290125 190087293105 204167833335 308307130875 316812155175 340279722225 367502100003 528020258625 567132870375 612503500005 924921392625 950436465525 1020839166675 1102506300009 1584060775875 1701398611125 1837510500015 3062517500025 4752182327625 5104195833375 5512531500045 9187552500075 15312587500125 27562657500225 45937762500375 137813287501125
- Sum of all divisors σ(n): 268993054532748
- Sum of proper divisors (its aliquot sum) s(n): 131179767031623
- 137813287501125 is a deficient number, because the sum of its proper divisors (131179767031623) is less than itself. Its deficiency is 6633520469502
Bases of 137813287501125
- Binary: 111110101010111001010000000101111111101010001012
- Hexadecimal: 0x7D57280BFD45
- Base-36: 1CUMJT57B9
Squares and roots of 137813287501125
- 137813287501125 squared (1378132875011252) is 18992502211867736146876265625
- 137813287501125 cubed (1378132875011253) is 2617419167689880798571952224669727986328125
-
The
square root of 137813287501125 is 11739390.4228935585 -
The
cube root of 137813287501125 is 51653.1760940931
Scales and comparisons
How big is 137813287501125?- 137,813,287,501,125 seconds is equal to 4,382,036 years, 13 weeks, 2 days, 22 hours, 18 minutes, 45 seconds.
-
To count from 1 to 137,813,287,501,125 would take you about ten million, nine hundred fifty-five thousand and ninety 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 137813287501125 cubic inches would be around 4304.4 feet tall.
Recreational maths with 137813287501125
- 137813287501125 backwards is 521105782318731
- The number of decimal digits it has is: 15
- The sum of 137813287501125's digits is 54
- More coming soon!
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