137225970
137,225,970 is an even composite number composed of six prime numbers multiplied together.
137225970 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 137225970:
2 × 32 × 5 × 72 × 292 × 37
(2 × 3 × 3 × 5 × 7 × 7 × 29 × 29 × 37)See below for interesting mathematical facts about the number 137225970 from the Numbermatics database.
Names of 137225970
- Cardinal: 137225970 can be written as One hundred thirty-seven million, two hundred twenty-five thousand, nine hundred seventy.
Scientific notation
- Scientific notation: 1.3722597 × 108
Factors of 137225970
Divisors of 137225970
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 37 42 45 49 58 63 70 74 87 90 98 105 111 126 145 147 174 185 203 210 222 245 259 261 290 294 315 333 370 406 435 441 490 518 522 555 609 630 666 735 777 841 870 882 1015 1073 1110 1218 1295 1305 1421 1470 1554 1665 1682 1813 1827 2030 2146 2205 2331 2523 2590 2610 2842 3045 3219 3330 3626 3654 3885 4205 4263 4410 4662 5046 5365 5439 5887 6090 6438 7105 7511 7569 7770 8410 8526 9065 9135 9657 10730 10878 11655 11774 12615 12789 14210 15022 15138 16095 16317 17661 18130 18270 19314 21315 22533 23310 25230 25578 27195 29435 31117 32190 32634 35322 37555 37845 41209 42630 45066 48285 52577 52983 54390 58870 62234 63945 67599 75110 75690 81585 82418 88305 93351 96570 105154 105966 112665 123627 127890 135198 155585 157731 163170 176610 186702 206045 217819 225330 247254 262885 264915 280053 311170 315462 337995 370881 412090 435638 466755 473193 525770 529830 560106 618135 653457 675990 741762 788655 933510 946386 1089095 1236270 1306914 1400265 1524733 1577310 1854405 1960371 2178190 2365965 2800530 3049466 3267285 3708810 3920742 4574199 4731930 6534570 7623665 9148398 9801855 13722597 15247330 19603710 22870995 27445194 45741990 68612985 137225970
- Sum of all divisors σ(n): 441461124
- Sum of proper divisors (its aliquot sum) s(n): 304235154
- 137225970 is an abundant number, because the sum of its proper divisors (304235154) is greater than itself. Its abundance is 167009184
Bases of 137225970
- Binary: 10000010110111100110111100102
- Hexadecimal: 0x82DE6F2
- Base-36: 29P88I
Squares and roots of 137225970
- 137225970 squared (1372259702) is 18830966842440900
- 137225970 cubed (1372259703) is 2584097690991789670173000
-
The
square root of 137225970 is 11714.3488935579 -
The
cube root of 137225970 is 515.7969500351
Scales and comparisons
How big is 137225970?- 137,225,970 seconds is equal to 4 years, 18 weeks, 6 days, 6 hours, 19 minutes, 30 seconds.
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To count from 1 to 137,225,970 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 137225970 cubic inches would be around 43 feet tall.
Recreational maths with 137225970
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