137426208121125
137,426,208,121,125 is an odd composite number composed of six prime numbers multiplied together.
137426208121125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137426208121125:
32 × 53 × 7 × 112 × 167 × 863609
(3 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 167 × 863609)See below for interesting mathematical facts about the number 137426208121125 from the Numbermatics database.
Names of 137426208121125
- Cardinal: 137426208121125 can be written as One hundred thirty-seven trillion, four hundred twenty-six billion, two hundred eight million, one hundred twenty-one thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.37426208121125 × 1014
Factors of 137426208121125
Divisors of 137426208121125
- Number of divisors d(n): 288
-
Complete list of divisors:
1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 121 125 165 167 175 225 231 275 315 363 375 385 495 501 525 605 693 825 835 847 875 1089 1125 1155 1169 1375 1503 1575 1815 1837 1925 2475 2505 2541 2625 3025 3465 3507 4125 4175 4235 5445 5511 5775 5845 7515 7623 7875 9075 9185 9625 10521 12375 12525 12705 12859 15125 16533 17325 17535 20207 20875 21175 27225 27555 28875 29225 37575 38115 38577 45375 45925 52605 60621 62625 63525 64295 82665 86625 87675 101035 105875 115731 136125 137775 141449 146125 181863 187875 190575 192885 229625 263025 303105 317625 321475 413325 424347 438375 505175 578655 688875 707245 863609 909315 952875 964425 1273041 1315125 1515525 1607375 2066625 2121735 2525875 2590827 2893275 3536225 4318045 4546575 4822125 6045263 6365205 7577625 7772481 9499699 10608675 12954135 14466375 17681125 18135789 21590225 22732875 28499097 30226315 31826025 38862405 47498495 53043375 54407367 64770675 66497893 85497291 90678945 104496689 107951125 142495485 144222703 151131575 159130125 194312025 199493679 237492475 272036835 313490067 323853375 332489465 427486455 432668109 453394725 522483445 598481037 712477425 721113515 731476823 755657875 940470201 971560125 997468395 1009558921 1187462375 1298004327 1360184175 1567450335 1586449733 1662447325 2137432275 2163340545 2194430469 2266973625 2612417225 2992405185 3028676763 3562387125 3605567575 3657384115 4702351005 4759349199 4987341975 5047794605 6490021635 6583291407 6800920875 7837251675 7932248665 8312236625 9086030289 10687161375 10816702725 10972152345 11105148131 13062086125 14278047597 14962025925 15143383815 17450947063 18027837875 18286920575 23511755025 23796745995 24936709875 25238973025 32450108175 32916457035 33315444393 39186258375 39661243325 45430151445 52352841189 54083513625 54860761725 55525740655 71390237985 74810129625 75716919075 87254735315 91434602875 99946333179 117558775125 118983729975 122156629441 126194865125 157058523567 162250540875 164582285175 166577221965 198306216625 227150757225 261764205945 274303808625 277628703275 356951189925 366469888323 378584595375 436273676575 499731665895 594918649875 610783147205 785292617835 822911425875 832886109825 1099409664969 1135753786125 1308821029725 1388143516375 1784755949625 1832349441615 2181368382875 2498658329475 3053915736025 3926463089175 4164430549125 5497048324845 6544105148625 9161747208075 12493291647375 15269578680125 19632315445875 27485241624225 45808736040375 137426208121125
- Sum of all divisors σ(n): 313066445852160
- Sum of proper divisors (its aliquot sum) s(n): 175640237731035
- 137426208121125 is an abundant number, because the sum of its proper divisors (175640237731035) is greater than itself. Its abundance is 38214029609910
Bases of 137426208121125
- Binary: 111110011111101000010000101000101100001001001012
- Hexadecimal: 0x7CFD08516125
- Base-36: 1CPOQ82Q79
Squares and roots of 137426208121125
- 137426208121125 squared (1374262081211252) is 18885962678550762902671265625
- 137426208121125 cubed (1374262081211253) is 2595426237630316510660646261990557048828125
-
The
square root of 137426208121125 is 11722892.4810016493 -
The
cube root of 137426208121125 is 51604.7709219079
Scales and comparisons
How big is 137426208121125?- 137,426,208,121,125 seconds is equal to 4,369,728 years, 17 weeks, 1 day, 12 hours, 18 minutes, 45 seconds.
-
To count from 1 to 137,426,208,121,125 would take you about ten million, nine hundred twenty-four thousand, three hundred twenty 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 137426208121125 cubic inches would be around 4300.4 feet tall.
Recreational maths with 137426208121125
- 137426208121125 backwards is 521121802624731
- 137426208121125 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137426208121125's digits is 45
- More coming soon!
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