138138000
138,138,000 is an even composite number composed of seven prime numbers multiplied together.
138138000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138138000:
24 × 3 × 53 × 7 × 11 × 13 × 23
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 13 × 23)See below for interesting mathematical facts about the number 138138000 from the Numbermatics database.
Names of 138138000
- Cardinal: 138138000 can be written as One hundred thirty-eight million, one hundred thirty-eight thousand.
Scientific notation
- Scientific notation: 1.38138 × 108
Factors of 138138000
Divisors of 138138000
- Number of divisors d(n): 640
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 23 24 25 26 28 30 33 35 39 40 42 44 46 48 50 52 55 56 60 65 66 69 70 75 77 78 80 84 88 91 92 100 104 105 110 112 115 120 125 130 132 138 140 143 150 154 156 161 165 168 175 176 182 184 195 200 208 210 220 230 231 240 250 253 260 264 273 275 276 280 286 299 300 308 312 322 325 330 336 345 350 364 368 375 385 390 400 420 429 440 455 460 462 483 500 506 520 525 528 546 550 552 560 572 575 598 600 616 624 644 650 660 690 700 715 728 750 759 770 780 805 825 840 858 875 880 897 910 920 924 966 975 1000 1001 1012 1040 1050 1092 1100 1104 1144 1150 1155 1196 1200 1232 1265 1288 1300 1320 1365 1375 1380 1400 1430 1456 1495 1500 1518 1540 1560 1610 1625 1650 1680 1716 1725 1750 1771 1794 1820 1840 1848 1925 1932 1950 2000 2002 2024 2093 2100 2145 2184 2200 2275 2288 2300 2310 2392 2415 2530 2576 2600 2625 2640 2730 2750 2760 2800 2860 2875 2990 3000 3003 3036 3080 3120 3220 3250 3289 3300 3432 3450 3500 3542 3575 3588 3640 3696 3795 3850 3864 3900 4004 4025 4048 4125 4186 4200 4290 4368 4400 4485 4550 4600 4620 4784 4830 4875 5005 5060 5200 5250 5313 5460 5500 5520 5720 5750 5775 5980 6000 6006 6072 6160 6279 6325 6440 6500 6578 6600 6825 6864 6900 7000 7084 7150 7176 7280 7475 7590 7700 7728 7800 8008 8050 8250 8372 8400 8580 8625 8855 8970 9100 9200 9240 9625 9660 9750 9867 10010 10120 10465 10500 10626 10725 10920 11000 11375 11440 11500 11550 11960 12012 12075 12144 12558 12650 12880 13000 13156 13200 13650 13800 14000 14168 14300 14352 14950 15015 15180 15400 15600 16016 16100 16445 16500 16744 17160 17250 17710 17875 17940 18200 18480 18975 19250 19320 19500 19734 20020 20125 20240 20930 21000 21252 21450 21840 22000 22425 22750 23000 23023 23100 23920 24024 24150 25025 25116 25300 26000 26312 26565 27300 27600 28336 28600 28875 29900 30030 30360 30800 31395 31625 32200 32890 33000 33488 34125 34320 34500 35420 35750 35880 36400 37375 37950 38500 38640 39000 39468 40040 40250 41860 42000 42504 42900 44275 44850 45500 46000 46046 46200 48048 48300 49335 50050 50232 50600 52325 52624 53130 53625 54600 57200 57750 59800 60060 60375 60720 62790 63250 64400 65780 66000 68250 69000 69069 70840 71500 71760 74750 75075 75900 77000 78000 78936 80080 80500 82225 83720 85008 85800 88550 89700 91000 92092 92400 94875 96600 98670 100100 100464 101200 104650 106260 107250 109200 112125 115115 115500 119600 120120 120750 125125 125580 126500 131560 132825 136500 138000 138138 141680 143000 149500 150150 151800 154000 156975 157872 161000 164450 167440 171600 177100 179400 182000 184184 189750 193200 197340 200200 209300 212520 214500 221375 224250 230230 231000 240240 241500 246675 250250 251160 253000 261625 263120 265650 273000 276276 286000 299000 300300 303600 313950 322000 328900 345345 354200 358800 368368 375375 379500 394680 400400 411125 418600 425040 429000 442750 448500 460460 462000 483000 493350 500500 502320 506000 523250 531300 546000 552552 575575 598000 600600 627900 657800 664125 690690 708400 750750 759000 784875 789360 822250 837200 858000 885500 897000 920920 966000 986700 1001000 1046500 1062600 1105104 1151150 1201200 1233375 1255800 1315600 1328250 1381380 1501500 1518000 1569750 1644500 1726725 1771000 1794000 1841840 1973400 2002000 2093000 2125200 2302300 2466750 2511600 2656500 2762760 2877875 3003000 3139500 3289000 3453450 3542000 3946800 4186000 4604600 4933500 5313000 5525520 5755750 6006000 6279000 6578000 6906900 8633625 9209200 9867000 10626000 11511500 12558000 13813800 17267250 19734000 23023000 27627600 34534500 46046000 69069000 138138000
- Sum of all divisors σ(n): 623960064
- Sum of proper divisors (its aliquot sum) s(n): 485822064
- 138138000 is an abundant number, because the sum of its proper divisors (485822064) is greater than itself. Its abundance is 347684064
Bases of 138138000
- Binary: 10000011101111010001100100002
- Hexadecimal: 0x83BD190
- Base-36: 2A8RYO
Squares and roots of 138138000
- 138138000 squared (1381380002) is 19082107044000000
- 138138000 cubed (1381380003) is 2635964102844072000000000
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The
square root of 138138000 is 11753.2123268493 -
The
cube root of 138138000 is 516.9371228249
Scales and comparisons
How big is 138138000?- 138,138,000 seconds is equal to 4 years, 20 weeks, 2 days, 19 hours, 40 minutes.
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To count from 1 to 138,138,000 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 138138000 cubic inches would be around 43.1 feet tall.
Recreational maths with 138138000
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