138221948025
138,221,948,025 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138221948025 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 432 divisors.
138221948025 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138221948025:
32 × 52 × 7 × 17 × 37 × 412 × 83
(3 × 3 × 5 × 5 × 7 × 17 × 37 × 41 × 41 × 83)See below for interesting mathematical facts about the number 138221948025 from the Numbermatics database.
Names of 138221948025
- Cardinal: 138221948025 can be written as One hundred thirty-eight billion, two hundred twenty-one million, nine hundred forty-eight thousand and twenty-five.
Scientific notation
- Scientific notation: 1.38221948025 × 1011
Factors of 138221948025
Divisors of 138221948025
- Number of divisors d(n): 432
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Complete list of divisors:
1 3 5 7 9 15 17 21 25 35 37 41 45 51 63 75 83 85 105 111 119 123 153 175 185 205 225 249 255 259 287 315 333 357 369 415 425 525 555 581 595 615 629 697 747 765 777 861 925 1025 1071 1245 1275 1295 1411 1435 1517 1575 1665 1681 1743 1785 1845 1887 2075 2091 2331 2583 2775 2905 2975 3071 3075 3145 3403 3485 3735 3825 3885 4233 4305 4403 4551 4879 5043 5229 5355 5661 6225 6273 6475 7055 7175 7585 8325 8405 8715 8925 9213 9225 9435 9877 10209 10455 10619 11655 11767 12699 12915 13209 13653 14525 14637 15129 15355 15725 17015 17425 18675 19425 21165 21497 21525 22015 22755 23821 24395 25215 25789 26145 26775 27639 28305 28577 29631 30627 31365 31857 35275 35301 37925 39627 42025 43575 43911 46065 47175 49385 51045 52207 52275 53095 57851 58275 58835 62197 63495 64491 64575 66045 68265 71463 73185 75645 76775 77367 85075 85731 88893 95571 105825 105903 107485 110075 113775 119105 121975 125911 126075 128945 130725 138195 139523 141525 142885 148155 153135 156621 156825 159285 173553 176505 180523 186591 193473 198135 200039 214389 219555 230325 232101 246925 255225 257193 261035 265475 289255 294175 310985 317475 322455 330225 341325 357315 365449 365925 377733 378225 386835 404957 418569 428655 435379 444465 469863 477855 520659 529515 537425 541569 559773 595525 600117 629555 644725 690975 697615 714425 740775 765675 783105 796425 867765 881377 882525 902615 932955 967365 976661 990675 1000195 1057349 1071945 1096347 1097775 1133199 1160505 1214871 1255707 1285965 1305175 1306137 1446275 1554925 1612275 1624707 1786575 1800351 1827245 1888665 1934175 2024785 2092845 2140487 2143275 2176895 2222325 2349315 2371891 2389275 2603295 2644131 2647575 2707845 2798865 2929983 3000585 3147775 3172047 3289041 3488075 3644613 3915525 3918411 4338825 4406885 4513075 4664775 4836825 4883305 5000975 5162351 5286745 5359725 5481735 5665995 5802525 6074355 6278535 6421461 6429825 6530685 7115673 7401443 7932393 8123535 8789949 9001755 9136225 9443325 9516141 10123925 10464225 10702435 10884475 11746575 11859455 13016475 13220655 13539225 13994325 14649915 14983409 15002925 15487053 15860235 16445205 16603237 18223065 19264383 19592055 21347019 22034425 22204329 24416525 25811755 26433725 27408675 28329975 30371775 31392675 32107305 32653425 35578365 36136457 37007215 39661965 40617675 43949745 44950227 45008775 46461159 47580705 49809711 53512175 59297275 66103275 66612987 73249575 74917045 77435265 79301175 82226025 83016185 87759967 91115325 96321915 97960275 106735095 108409371 111021645 129058775 134850681 149429133 160536525 177891825 180682285 185036075 198309825 219748725 224751135 232305795 237903525 249048555 263279901 325228113 333064935 374585225 387176325 415080925 438799835 481609575 533675475 542046855 555108225 614319769 674253405 747145665 789839703 903411425 1123755675 1161528975 1245242775 1316399505 1626140565 1665324675 1842959307 2193999175 2710234275 3071598845 3371267025 3735728325 3949198515 5528877921 6581997525 8130702825 9214796535 15357994225 19745992575 27644389605 46073982675 138221948025
- Sum of all divisors σ(n): 319165322112
- Sum of proper divisors (its aliquot sum) s(n): 180943374087
- 138221948025 is an abundant number, because the sum of its proper divisors (180943374087) is greater than itself. Its abundance is 42721426062
Bases of 138221948025
- Binary: 100000001011101010101110001100011110012
- Hexadecimal: 0x202EAB8C79
- Base-36: 1RHXS1O9
Squares and roots of 138221948025
- 138221948025 squared (1382219480252) is 19105306915825801400625
- 138221948025 cubed (1382219480253) is 2640772739520946971151160952515625
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The
square root of 138221948025 is 371782.1244021827 -
The
cube root of 138221948025 is 5170.4181779853
Scales and comparisons
How big is 138221948025?- 138,221,948,025 seconds is equal to 4,395 years, 1 week, 4 days, 1 hour, 33 minutes, 45 seconds.
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To count from 1 to 138,221,948,025 would take you about eight thousand, seven hundred 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 138221948025 cubic inches would be around 430.9 feet tall.
Recreational maths with 138221948025
- 138221948025 backwards is 520849122831
- 138221948025 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138221948025's digits is 45
- More coming soon!
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