138055680
138,055,680 is an even composite number composed of five prime numbers multiplied together.
138055680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twelve divisors.
Prime factorization of 138055680:
212 × 32 × 5 × 7 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 107)See below for interesting mathematical facts about the number 138055680 from the Numbermatics database.
Names of 138055680
- Cardinal: 138055680 can be written as One hundred thirty-eight million, fifty-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3805568 × 108
Factors of 138055680
Divisors of 138055680
- Number of divisors d(n): 312
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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 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 107 112 120 126 128 140 144 160 168 180 192 210 214 224 240 252 256 280 288 315 320 321 336 360 384 420 428 448 480 504 512 535 560 576 630 640 642 672 720 749 768 840 856 896 960 963 1008 1024 1070 1120 1152 1260 1280 1284 1344 1440 1498 1536 1605 1680 1712 1792 1920 1926 2016 2048 2140 2240 2247 2304 2520 2560 2568 2688 2880 2996 3072 3210 3360 3424 3584 3745 3840 3852 4032 4096 4280 4480 4494 4608 4815 5040 5120 5136 5376 5760 5992 6144 6420 6720 6741 6848 7168 7490 7680 7704 8064 8560 8960 8988 9216 9630 10080 10240 10272 10752 11235 11520 11984 12288 12840 13440 13482 13696 14336 14980 15360 15408 16128 17120 17920 17976 18432 19260 20160 20480 20544 21504 22470 23040 23968 25680 26880 26964 27392 28672 29960 30720 30816 32256 33705 34240 35840 35952 36864 38520 40320 41088 43008 44940 46080 47936 51360 53760 53928 54784 59920 61440 61632 64512 67410 68480 71680 71904 77040 80640 82176 86016 89880 92160 95872 102720 107520 107856 109568 119840 123264 129024 134820 136960 143360 143808 154080 161280 164352 179760 184320 191744 205440 215040 215712 219136 239680 246528 258048 269640 273920 287616 308160 322560 328704 359520 383488 410880 430080 431424 438272 479360 493056 539280 547840 575232 616320 645120 657408 719040 766976 821760 862848 958720 986112 1078560 1095680 1150464 1232640 1290240 1314816 1438080 1533952 1643520 1725696 1917440 1972224 2157120 2191360 2300928 2465280 2876160 3067904 3287040 3451392 3834880 3944448 4314240 4601856 4930560 5752320 6574080 6902784 7669760 8628480 9203712 9861120 11504640 13805568 15339520 17256960 19722240 23009280 27611136 34513920 46018560 69027840 138055680
- Sum of all divisors σ(n): 552007872
- Sum of proper divisors (its aliquot sum) s(n): 413952192
- 138055680 is an abundant number, because the sum of its proper divisors (413952192) is greater than itself. Its abundance is 275896512
Bases of 138055680
- Binary: 10000011101010010000000000002
- Hexadecimal: 0x83A9000
- Base-36: 2A70G0
Squares and roots of 138055680
- 138055680 squared (1380556802) is 19059370780262400
- 138055680 cubed (1380556803) is 2631254393441256210432000
-
The
square root of 138055680 is 11749.7097836499 -
The
cube root of 138055680 is 516.8344170289
Scales and comparisons
How big is 138055680?- 138,055,680 seconds is equal to 4 years, 20 weeks, 1 day, 20 hours, 48 minutes.
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To count from 1 to 138,055,680 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 138055680 cubic inches would be around 43.1 feet tall.
Recreational maths with 138055680
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