137120130
137,120,130 is an even composite number composed of seven prime numbers multiplied together.
137120130 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137120130:
2 × 32 × 5 × 72 × 17 × 31 × 59
(2 × 3 × 3 × 5 × 7 × 7 × 17 × 31 × 59)See below for interesting mathematical facts about the number 137120130 from the Numbermatics database.
Names of 137120130
- Cardinal: 137120130 can be written as One hundred thirty-seven million, one hundred twenty thousand, one hundred thirty.
Scientific notation
- Scientific notation: 1.3712013 × 108
Factors of 137120130
Divisors of 137120130
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 17 18 21 30 31 34 35 42 45 49 51 59 62 63 70 85 90 93 98 102 105 118 119 126 147 153 155 170 177 186 210 217 238 245 255 279 294 295 306 310 315 354 357 413 434 441 465 490 510 527 531 558 590 595 630 651 714 735 765 826 833 882 885 930 1003 1054 1062 1071 1085 1190 1239 1302 1395 1470 1519 1530 1581 1666 1770 1785 1829 1953 2006 2065 2142 2170 2205 2478 2499 2635 2655 2790 2891 3009 3038 3162 3255 3570 3658 3689 3717 3906 4130 4165 4410 4557 4743 4998 5015 5270 5310 5355 5487 5782 6018 6195 6510 7021 7378 7434 7497 7595 7905 8330 8673 9027 9114 9145 9486 9765 10030 10710 10974 11067 12390 12495 12803 13671 14042 14455 14994 15045 15190 15810 16461 17346 18054 18290 18445 18585 19530 21063 22134 22785 23715 24990 25606 25823 26019 27342 27435 28910 30090 31093 32922 33201 35105 36890 37170 37485 38409 42126 43365 45135 45570 47430 49147 51646 52038 54870 55335 62186 63189 64015 66402 68355 70210 74970 76818 77469 82305 86730 89621 90270 93279 98294 105315 110670 115227 126378 128030 129115 130095 136710 147441 154938 155465 164610 166005 179242 186558 192045 210630 217651 230454 232407 245735 258230 260190 268863 279837 294882 310930 315945 332010 384090 387345 435302 442323 448105 464814 466395 491470 537726 559674 576135 631890 652953 737205 774690 806589 884646 896210 932790 1088255 1152270 1162035 1305906 1344315 1399185 1474410 1523557 1613178 1958859 2176510 2211615 2324070 2688630 2798370 3047114 3264765 3917718 4032945 4423230 4570671 6529530 7617785 8065890 9141342 9794295 13712013 15235570 19588590 22853355 27424026 45706710 68560065 137120130
- Sum of all divisors σ(n): 460961280
- Sum of proper divisors (its aliquot sum) s(n): 323841150
- 137120130 is an abundant number, because the sum of its proper divisors (323841150) is greater than itself. Its abundance is 186721020
Bases of 137120130
- Binary: 10000010110001001001100000102
- Hexadecimal: 0x82C4982
- Base-36: 29MYKI
Squares and roots of 137120130
- 137120130 squared (1371201302) is 18801930051216900
- 137120130 cubed (1371201303) is 2578123092873767986197000
-
The
square root of 137120130 is 11709.8304855365 -
The
cube root of 137120130 is 515.6643075269
Scales and comparisons
How big is 137120130?- 137,120,130 seconds is equal to 4 years, 18 weeks, 5 days, 55 minutes, 30 seconds.
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To count from 1 to 137,120,130 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 137120130 cubic inches would be around 43 feet tall.
Recreational maths with 137120130
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