137829120
137,829,120 is an even composite number composed of six prime numbers multiplied together.
137829120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137829120:
28 × 3 × 5 × 11 × 13 × 251
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 251)See below for interesting mathematical facts about the number 137829120 from the Numbermatics database.
Names of 137829120
- Cardinal: 137829120 can be written as One hundred thirty-seven million, eight hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3782912 × 108
Factors of 137829120
Divisors of 137829120
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 64 65 66 78 80 88 96 104 110 120 128 130 132 143 156 160 165 176 192 195 208 220 240 251 256 260 264 286 312 320 330 352 384 390 416 429 440 480 502 520 528 572 624 640 660 704 715 753 768 780 832 858 880 960 1004 1040 1056 1144 1248 1255 1280 1320 1408 1430 1506 1560 1664 1716 1760 1920 2008 2080 2112 2145 2288 2496 2510 2640 2761 2816 2860 3012 3120 3263 3328 3432 3520 3765 3840 4016 4160 4224 4290 4576 4992 5020 5280 5522 5720 6024 6240 6526 6864 7040 7530 8032 8283 8320 8448 8580 9152 9789 9984 10040 10560 11044 11440 12048 12480 13052 13728 13805 14080 15060 16064 16315 16566 16640 17160 18304 19578 20080 21120 22088 22880 24096 24960 26104 27456 27610 30120 32128 32630 33132 34320 35893 36608 39156 40160 41415 42240 44176 45760 48192 48945 49920 52208 54912 55220 60240 64256 65260 66264 68640 71786 78312 80320 82830 88352 91520 96384 97890 104416 107679 109824 110440 120480 130520 132528 137280 143572 156624 160640 165660 176704 179465 183040 192768 195780 208832 215358 220880 240960 261040 265056 274560 287144 313248 321280 331320 353408 358930 391560 417664 430716 441760 481920 522080 530112 538395 549120 574288 626496 662640 706816 717860 783120 835328 861432 883520 963840 1044160 1060224 1076790 1148576 1252992 1325280 1435720 1566240 1722864 1767040 2088320 2120448 2153580 2297152 2505984 2650560 2871440 3132480 3445728 3534080 4176640 4307160 4594304 5301120 5742880 6264960 6891456 8614320 9188608 10602240 11485760 12529920 13782912 17228640 22971520 27565824 34457280 45943040 68914560 137829120
- Sum of all divisors σ(n): 519208704
- Sum of proper divisors (its aliquot sum) s(n): 381379584
- 137829120 is an abundant number, because the sum of its proper divisors (381379584) is greater than itself. Its abundance is 243550464
Bases of 137829120
- Binary: 10000011011100011011000000002
- Hexadecimal: 0x8371B00
- Base-36: 2A25MO
Squares and roots of 137829120
- 137829120 squared (1378291202) is 18996866319974400
- 137829120 cubed (1378291203) is 2618321367639709974528000
-
The
square root of 137829120 is 11740.0647357671 -
The
cube root of 137829120 is 516.5515405415
Scales and comparisons
How big is 137829120?- 137,829,120 seconds is equal to 4 years, 19 weeks, 6 days, 5 hours, 52 minutes.
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To count from 1 to 137,829,120 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 137829120 cubic inches would be around 43 feet tall.
Recreational maths with 137829120
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