137425200
137,425,200 is an even composite number composed of six prime numbers multiplied together.
137425200 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 137425200:
24 × 3 × 52 × 11 × 29 × 359
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 29 × 359)See below for interesting mathematical facts about the number 137425200 from the Numbermatics database.
Names of 137425200
- Cardinal: 137425200 can be written as One hundred thirty-seven million, four hundred twenty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.374252 × 108
Factors of 137425200
Divisors of 137425200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 29 30 33 40 44 48 50 55 58 60 66 75 80 87 88 100 110 116 120 132 145 150 165 174 176 200 220 232 240 264 275 290 300 319 330 348 359 400 435 440 464 528 550 580 600 638 660 696 718 725 825 870 880 957 1077 1100 1160 1200 1276 1320 1392 1436 1450 1595 1650 1740 1795 1914 2154 2175 2200 2320 2552 2640 2872 2900 3190 3300 3480 3590 3828 3949 4308 4350 4400 4785 5104 5385 5744 5800 6380 6600 6960 7180 7656 7898 7975 8616 8700 8975 9570 10411 10770 11600 11847 12760 13200 14360 15312 15796 15950 17232 17400 17950 19140 19745 20822 21540 23694 23925 25520 26925 28720 31233 31592 31900 34800 35900 38280 39490 41644 43080 47388 47850 52055 53850 59235 62466 63184 63800 71800 76560 78980 83288 86160 94776 95700 98725 104110 107700 114521 118470 124932 127600 143600 156165 157960 166576 189552 191400 197450 208220 215400 229042 236940 249864 260275 296175 312330 315920 343563 382800 394900 416440 430800 458084 473880 499728 520550 572605 592350 624660 687126 780825 789800 832880 916168 947760 1041100 1145210 1184700 1249320 1374252 1561650 1579600 1717815 1832336 2082200 2290420 2369400 2498640 2748504 2863025 3123300 3435630 4164400 4580840 4738800 5497008 5726050 6246600 6871260 8589075 9161680 11452100 12493200 13742520 17178150 22904200 27485040 34356300 45808400 68712600 137425200
- Sum of all divisors σ(n): 498182400
- Sum of proper divisors (its aliquot sum) s(n): 360757200
- 137425200 is an abundant number, because the sum of its proper divisors (360757200) is greater than itself. Its abundance is 223332000
Bases of 137425200
- Binary: 10000011000011110001001100002
- Hexadecimal: 0x830F130
- Base-36: 29THYO
Squares and roots of 137425200
- 137425200 squared (1374252002) is 18885685595040000
- 137425200 cubed (1374252003) is 2595369120035491008000000
-
The
square root of 137425200 is 11722.8494829543 -
The
cube root of 137425200 is 516.0464473543
Scales and comparisons
How big is 137425200?- 137,425,200 seconds is equal to 4 years, 19 weeks, 1 day, 13 hours, 40 minutes.
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To count from 1 to 137,425,200 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 137425200 cubic inches would be around 43 feet tall.
Recreational maths with 137425200
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The information we have on file for 137425200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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