138353088825
138,353,088,825 is an odd composite number composed of five prime numbers multiplied together.
138353088825 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138353088825:
35 × 52 × 73 × 67 × 991
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 67 × 991)See below for interesting mathematical facts about the number 138353088825 from the Numbermatics database.
Names of 138353088825
- Cardinal: 138353088825 can be written as One hundred thirty-eight billion, three hundred fifty-three million, eighty-eight thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.38353088825 × 1011
Factors of 138353088825
Divisors of 138353088825
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 5 7 9 15 21 25 27 35 45 49 63 67 75 81 105 135 147 175 189 201 225 243 245 315 335 343 405 441 469 525 567 603 675 735 945 991 1005 1029 1215 1225 1323 1407 1575 1675 1701 1715 1809 2025 2205 2345 2835 2973 3015 3087 3283 3675 3969 4221 4725 4955 5025 5145 5427 6075 6615 6937 7035 8505 8575 8919 9045 9261 9849 11025 11725 11907 12663 14175 14865 15075 15435 16281 16415 19845 20811 21105 22981 24775 25725 26757 27135 27783 29547 33075 34685 35175 37989 42525 44595 45225 46305 48559 49245 59535 62433 63315 66397 68943 74325 77175 80271 81405 82075 83349 88641 99225 104055 105525 113967 114905 133785 135675 138915 145677 147735 173425 187299 189945 199191 206829 222975 231525 240813 242795 246225 265923 297675 312165 316575 331985 339913 344715 401355 407025 416745 437031 443205 464779 520275 561897 569835 574525 597573 620487 668925 694575 728385 738675 797769 936495 949725 995955 1019739 1034145 1204065 1213975 1311093 1329615 1394337 1560825 1659925 1685691 1699565 1723575 1792719 1861461 2006775 2083725 2185155 2216025 2323895 2809485 2849175 2987865 3059217 3102435 3253453 3641925 3933279 3988845 4183011 4682475 4979775 5098695 5170725 5378157 5584383 6020325 6555465 6648075 6971685 8428455 8497825 8963595 9177651 9307305 9760359 10925775 11619475 11799837 12549033 14047425 14939325 15296085 15512175 16134471 16267265 19666395 19944225 20915055 22774171 25493475 26890785 27532953 27921915 29281077 32777325 34858425 37647099 42142275 44817975 45888255 46536525 48801795 58999185 62745165 68322513 76480425 80672355 81336325 82598859 87843231 98331975 104575275 112941297 113870855 134453925 137664765 139609575 146405385 188235495 204967539 229441275 244008975 263529693 294995925 313725825 341612565 403361775 412994295 439216155 564706485 569354275 614902617 688323825 732026925 790589079 941177475 1024837695 1317648465 1708062825 1844707851 2064971475 2196080775 2823532425 3074513085 3952945395 5124188475 5534123553 6588242325 9223539255 15372565425 19764726975 27670617765 46117696275 138353088825
- Sum of all divisors σ(n): 304469401600
- Sum of proper divisors (its aliquot sum) s(n): 166116312775
- 138353088825 is an abundant number, because the sum of its proper divisors (166116312775) is greater than itself. Its abundance is 27763223950
Bases of 138353088825
- Binary: 100000001101100111110010011001001110012
- Hexadecimal: 0x20367C9939
- Base-36: 1RK3UUK9
Squares and roots of 138353088825
- 138353088825 squared (1383530888252) is 19141577187418339880625
- 138353088825 cubed (1383530888253) is 2648296328861483249938150521515625
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The
square root of 138353088825 is 371958.4504013855 -
The
cube root of 138353088825 is 5172.0528398707
Scales and comparisons
How big is 138353088825?- 138,353,088,825 seconds is equal to 4,399 years, 10 weeks, 2 days, 21 hours, 33 minutes, 45 seconds.
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To count from 1 to 138,353,088,825 would take you about eight thousand, seven hundred ninety-eight 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 138353088825 cubic inches would be around 431 feet tall.
Recreational maths with 138353088825
- 138353088825 backwards is 528880353831
- The number of decimal digits it has is: 12
- The sum of 138353088825's digits is 54
- More coming soon!
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