138479220
138,479,220 is an even composite number composed of six prime numbers multiplied together.
138479220 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138479220:
22 × 34 × 5 × 11 × 19 × 409
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 19 × 409)See below for interesting mathematical facts about the number 138479220 from the Numbermatics database.
Names of 138479220
- Cardinal: 138479220 can be written as One hundred thirty-eight million, four hundred seventy-nine thousand, two hundred twenty.
Scientific notation
- Scientific notation: 1.3847922 × 108
Factors of 138479220
Divisors of 138479220
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 27 30 33 36 38 44 45 54 55 57 60 66 76 81 90 95 99 108 110 114 132 135 162 165 171 180 190 198 209 220 228 270 285 297 324 330 342 380 396 405 409 418 495 513 540 570 594 627 660 684 810 818 836 855 891 990 1026 1045 1140 1188 1227 1254 1485 1539 1620 1636 1710 1782 1881 1980 2045 2052 2090 2454 2508 2565 2970 3078 3135 3420 3564 3681 3762 4090 4180 4455 4499 4908 5130 5643 5940 6135 6156 6270 7362 7524 7695 7771 8180 8910 8998 9405 10260 11043 11286 12270 12540 13497 14724 15390 15542 16929 17820 17996 18405 18810 22086 22495 22572 23313 24540 26994 28215 30780 31084 33129 33858 36810 37620 38855 40491 44172 44990 46626 53988 55215 56430 66258 67485 67716 69939 73620 77710 80982 84645 85481 89980 93252 110430 112860 116565 121473 132516 134970 139878 155420 161964 165645 169290 170962 202455 209817 220860 233130 242946 256443 269940 279756 331290 338580 341924 349695 364419 404910 419634 427405 466260 485892 512886 607365 629451 662580 699390 728838 769329 809820 839268 854810 1025772 1049085 1214730 1258902 1282215 1398780 1457676 1538658 1709620 1822095 2098170 2307987 2429460 2517804 2564430 3077316 3147255 3644190 3846645 4196340 4615974 5128860 6294510 6923961 7288380 7693290 9231948 11539935 12589020 13847922 15386580 23079870 27695844 34619805 46159740 69239610 138479220
- Sum of all divisors σ(n): 500068800
- Sum of proper divisors (its aliquot sum) s(n): 361589580
- 138479220 is an abundant number, because the sum of its proper divisors (361589580) is greater than itself. Its abundance is 223110360
Bases of 138479220
- Binary: 10000100000100000110011101002
- Hexadecimal: 0x8410674
- Base-36: 2AG390
Squares and roots of 138479220
- 138479220 squared (1384792202) is 19176494371808400
- 138479220 cubed (1384792203) is 2655545982942417221448000
-
The
square root of 138479220 is 11767.7194052203 -
The
cube root of 138479220 is 517.3624082851
Scales and comparisons
How big is 138479220?- 138,479,220 seconds is equal to 4 years, 20 weeks, 6 days, 18 hours, 27 minutes.
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To count from 1 to 138,479,220 would take you about six 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 138479220 cubic inches would be around 43.1 feet tall.
Recreational maths with 138479220
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