137425680
137,425,680 is an even composite number composed of six prime numbers multiplied together.
137425680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 137425680:
24 × 33 × 5 × 7 × 61 × 149
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 61 × 149)See below for interesting mathematical facts about the number 137425680 from the Numbermatics database.
Names of 137425680
- Cardinal: 137425680 can be written as One hundred thirty-seven million, four hundred twenty-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3742568 × 108
Factors of 137425680
Divisors of 137425680
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 61 63 70 72 80 84 90 105 108 112 120 122 126 135 140 144 149 168 180 183 189 210 216 240 244 252 270 280 298 305 315 336 360 366 378 420 427 432 447 488 504 540 549 560 596 610 630 720 732 745 756 840 854 894 915 945 976 1008 1043 1080 1098 1192 1220 1260 1281 1341 1464 1490 1512 1647 1680 1708 1788 1830 1890 2086 2135 2160 2196 2235 2384 2440 2520 2562 2682 2745 2928 2980 3024 3129 3294 3416 3576 3660 3780 3843 4023 4172 4270 4392 4470 4880 5040 5124 5215 5364 5490 5960 6258 6405 6588 6705 6832 7152 7320 7560 7686 8046 8235 8344 8540 8784 8940 9089 9387 10248 10430 10728 10980 11529 11920 12516 12810 13176 13410 14640 15120 15372 15645 16092 16470 16688 17080 17880 18178 18774 19215 20115 20496 20860 21456 21960 23058 25032 25620 26352 26820 27267 28161 30744 31290 32184 32940 34160 35760 36356 37548 38430 40230 41720 43920 45445 46116 46935 50064 51240 53640 54534 56322 57645 61488 62580 63623 64368 65880 72712 75096 76860 80460 81801 83440 90890 92232 93870 102480 107280 109068 112644 115290 125160 127246 131760 136335 140805 145424 150192 153720 160920 163602 181780 184464 187740 190869 218136 225288 230580 245403 250320 254492 272670 281610 307440 318115 321840 327204 363560 375480 381738 409005 436272 450576 461160 490806 508984 545340 563220 572607 636230 654408 727120 750960 763476 818010 922320 954345 981612 1017968 1090680 1126440 1145214 1227015 1272460 1308816 1526952 1636020 1717821 1908690 1963224 2181360 2252880 2290428 2454030 2544920 2863035 3053904 3272040 3435642 3817380 3926448 4580856 4908060 5089840 5726070 6544080 6871284 7634760 8589105 9161712 9816120 11452140 13742568 15269520 17178210 19632240 22904280 27485136 34356420 45808560 68712840 137425680
- Sum of all divisors σ(n): 553536000
- Sum of proper divisors (its aliquot sum) s(n): 416110320
- 137425680 is an abundant number, because the sum of its proper divisors (416110320) is greater than itself. Its abundance is 278684640
Bases of 137425680
- Binary: 10000011000011110011000100002
- Hexadecimal: 0x830F310
- Base-36: 29TIC0
Squares and roots of 137425680
- 137425680 squared (1374256802) is 18885817523462400
- 137425680 cubed (1374256803) is 2595396315517736274432000
-
The
square root of 137425680 is 11722.8699557745 -
The
cube root of 137425680 is 516.0470481709
Scales and comparisons
How big is 137425680?- 137,425,680 seconds is equal to 4 years, 19 weeks, 1 day, 13 hours, 48 minutes.
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To count from 1 to 137,425,680 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 137425680 cubic inches would be around 43 feet tall.
Recreational maths with 137425680
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