133908148800397125
133,908,148,800,397,125 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 133908148800397125 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
133908148800397125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 133908148800397125:
37 × 53 × 7 × 11 × 172 × 792 × 3527
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 17 × 17 × 79 × 79 × 3527)See below for interesting mathematical facts about the number 133908148800397125 from the Numbermatics database.
Names of 133908148800397125
- Cardinal: 133908148800397125 can be written as One hundred thirty-three quadrillion, nine hundred eight trillion, one hundred forty-eight billion, eight hundred million, three hundred ninety-seven thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.33908148800397125 × 1017
Factors of 133908148800397125
Divisors of 133908148800397125
- Number of divisors d(n): 2304
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Complete list of divisors:
1 3 5 7 9 11 15 17 21 25 27 33 35 45 51 55 63 75 77 79 81 85 99 105 119 125 135 153 165 175 187 189 225 231 237 243 255 275 289 297 315 357 375 385 395 405 425 459 495 525 553 561 567 595 675 693 711 729 765 825 867 869 875 891 935 945 1071 1125 1155 1185 1215 1275 1309 1343 1375 1377 1445 1485 1575 1659 1683 1701 1785 1925 1975 2023 2025 2079 2125 2133 2187 2295 2475 2601 2607 2625 2673 2765 2805 2835 2975 3179 3213 3375 3465 3527 3555 3645 3825 3927 4029 4125 4131 4335 4345 4455 4675 4725 4977 5049 5103 5355 5775 5925 6069 6075 6083 6237 6241 6375 6399 6545 6715 6885 7225 7425 7803 7821 7875 8019 8295 8415 8505 8925 9401 9537 9625 9639 9875 10115 10125 10395 10581 10665 10935 11475 11781 12087 12375 12393 13005 13035 13365 13825 14025 14175 14773 14875 14931 15147 15309 15895 16065 17325 17635 17775 18207 18225 18249 18711 18723 19125 19197 19635 20145 20655 21675 21725 22253 22275 22831 23375 23409 23463 23625 24057 24689 24885 25245 25515 26775 28203 28611 28875 28917 29625 30345 30375 30415 31185 31205 31743 31995 32725 33575 34425 35343 36125 36261 37125 37179 38797 39015 39105 40095 41475 42075 42525 43687 44319 44625 44793 45441 47005 47685 48195 50575 51975 52905 53325 54621 54675 54747 56133 56169 57375 57591 58905 59959 60435 61965 65025 65175 66759 66825 68493 68651 69125 70125 70227 70389 70875 73865 74067 74655 75735 76545 79475 80325 84609 85833 86625 86751 88175 88875 91035 91125 91245 93555 93615 95229 95985 98175 100725 103275 103411 106029 106097 108375 108625 108783 111265 111375 114155 116391 117045 117315 120285 123445 124425 126225 127575 131061 132957 133875 134379 136323 141015 143055 144585 151725 152075 155925 156025 158715 159817 159975 163625 163863 164241 167875 168399 168507 172125 172773 176715 179877 181305 185895 193985 195075 195525 200277 200475 205479 205953 207375 210375 210681 211167 212625 218435 221595 222201 223965 227205 235025 238425 240975 251141 252875 253827 257499 259875 260253 264525 266625 271579 273105 273375 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4293992265525 4402700930475 4408498725939 4412857103325 4520106288621 4630775972625 4637511646767 4680302988375 4748010807375 5001238050435 5248212768975 5304343386825 5381078915025 5423797999125 5566286270125 5668069790493 5707204909875 5720370319125 5728690857771 5865189820875 6011589171735 6017532413625 6163781302665 6177999944655 6483086361675 6647215130325 6819870068775 6975472667625 7001733270609 7152066912375 7156653775875 7337834884125 7347497876565 7354761838875 7533510481035 7593317198775 7729186077945 8335396750725 8424545379075 8747021281625 8840572311375 8968464858375 9002228490783 9064384268625 9446782984155 9547818096285 9685942047045 10019315286225 10272968837775 10296666574425 10805143936125 10820860509123 11078691883875 11366450114625 11669555451015 12245829794275 12555850801725 12655528664625 12881976796575 13225496177817 13238571309975 13560318865863 13892327917875 13912534940301 14040908965125 14244032422125 15003714151305 15744638306925 15913030160475 16143236745075 16698858810375 17004209371479 17121614729625 17161110957375 18034767515205 18533999833965 19449259085025 19941645390975 20459610206325 20926418002875 21005199811827 21456200737125 21469961327625 22013504652375 22042493629695 22064285516625 22600531443105 23187558233835 25006190252175 26241063844875 26521716934125 26905394575125 28340348952465 28643454288855 30057945858675 30818906513325 30889999723275 32415431808375 32462581527369 33236075651625 34099350343875 35008666353045 36737489382825 37667552405175 37966585993875 38645930389725 39676488533451 41676983753625 42122726895375 45011142453915 47233914920775 47739090481425 48429710235225 50096576431125 51012628114437 51364844188875 51483332872125 54104302545615 58347777255075 61229148971375 62779254008625 63015599435481 64409883982875 66127480889085 66192856549875 67801594329315 69562674701505 75018570756525 78723191534625 79565150802375 80716183725375 85021046857395 90173837576025 92669999169825 97246295425125 97387744582107 99708226954875 102298051031625 105025999059135 110212468148475 113002657215525 115937791169175 119029465600353 125030951260875 141701744762325 143217271444275 150289729293375 153037884343311 154094532566625 154449998616375 162312907636845 175043331765225 183687446914125 188337762025875 193229651948625 198382442667255 225055712269575 236169574603875 238695452407125 242148551176125 255063140572185 270521512728075 291738886275375 315077997177405 330637404445425 339007971646575 347813373507525 357088396801059 375092853782625 425105234286975 450869187880125 463349995849125 486938722910535 525129995295675 551062340742375 565013286077625 579688955845875 595147328001765 708508723811625 716086357221375 765189421716555 811564538184225 875216658826125 991912213336275 1071265190403177 1125278561347875 1275315702860925 1352607563640375 1575389985887025 1653187022227125 1695039858232875 1739066867537625 1785441984005295 2125526171434875 2434693614552675 2625649976478375 2975736640008825 3825947108582775 4057822690921125 4959561066681375 5356325952015885 6376578514304625 7876949929435125 8927209920026475 12173468072763375 14878683200044125 19129735542913875 26781629760079425 44636049600132375 133908148800397125
- Sum of all divisors σ(n): 336296554161684480
- Sum of proper divisors (its aliquot sum) s(n): 202388405361287355
- 133908148800397125 is an abundant number, because the sum of its proper divisors (202388405361287355) is greater than itself. Its abundance is 68480256560890230
Bases of 133908148800397125
- Binary: 1110110111011110011000000011110011100011100011111010001012
- Hexadecimal: 0x1DBBCC079C71F45
- Base-36: 10MIH6B9T7B9
Squares and roots of 133908148800397125
- 133908148800397125 squared (1339081488003971252) is 17931392315149297987184557708265625
- 133908148800397125 cubed (1339081488003971253) is 2401159550335309693256603911623780969904894986328125
-
The
square root of 133908148800397125 is 365934623.6698532535 -
The
cube root of 133908148800397125 is 511606.0466454789
Scales and comparisons
How big is 133908148800397125?- 133,908,148,800,397,125 seconds is equal to 4,257,864,926 years, 39 weeks, 22 hours, 18 minutes, 45 seconds.
-
To count from 1 to 133,908,148,800,397,125 would take you about twelve billion, seven hundred seventy-three million, five hundred ninety-four thousand, seven hundred eighty 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 133908148800397125 cubic inches would be around 42633.8 feet tall.
Recreational maths with 133908148800397125
- 133908148800397125 backwards is 521793008841809331
- The number of decimal digits it has is: 18
- The sum of 133908148800397125's digits is 72
- More coming soon!
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"Number 133908148800397125 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 133908148800397125 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/133908148800397125/
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The information we have on file for 133908148800397125 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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