138105000
138,105,000 is an even composite number composed of five prime numbers multiplied together.
138105000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 138105000:
23 × 34 × 54 × 11 × 31
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 31)See below for interesting mathematical facts about the number 138105000 from the Numbermatics database.
Names of 138105000
- Cardinal: 138105000 can be written as One hundred thirty-eight million, one hundred five thousand.
Scientific notation
- Scientific notation: 1.38105 × 108
Factors of 138105000
Divisors of 138105000
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 27 30 31 33 36 40 44 45 50 54 55 60 62 66 72 75 81 88 90 93 99 100 108 110 120 124 125 132 135 150 155 162 165 180 186 198 200 216 220 225 248 250 264 270 275 279 297 300 310 324 330 341 360 372 375 396 405 440 450 465 495 500 540 550 558 594 600 620 625 648 660 675 682 744 750 775 792 810 825 837 891 900 930 990 1000 1023 1080 1100 1116 1125 1188 1240 1250 1320 1350 1364 1375 1395 1485 1500 1550 1620 1650 1674 1705 1782 1800 1860 1875 1980 2025 2046 2200 2232 2250 2325 2376 2475 2500 2511 2700 2728 2750 2790 2970 3000 3069 3100 3240 3300 3348 3375 3410 3564 3720 3750 3875 3960 4050 4092 4125 4185 4455 4500 4650 4950 5000 5022 5115 5400 5500 5580 5625 5940 6138 6200 6600 6696 6750 6820 6875 6975 7128 7425 7500 7750 8100 8184 8250 8370 8525 8910 9000 9207 9300 9900 10044 10125 10230 11000 11160 11250 11625 11880 12276 12375 12555 13500 13640 13750 13950 14850 15000 15345 15500 16200 16500 16740 16875 17050 17820 18414 18600 19375 19800 20088 20250 20460 20625 20925 22275 22500 23250 24552 24750 25110 25575 27000 27500 27621 27900 29700 30690 31000 33000 33480 33750 34100 34875 35640 36828 37125 38750 40500 40920 41250 41850 42625 44550 45000 46035 46500 49500 50220 50625 51150 55000 55242 55800 58125 59400 61380 61875 62775 67500 68200 69750 73656 74250 76725 77500 81000 82500 83700 85250 89100 92070 93000 99000 100440 101250 102300 104625 110484 111375 116250 122760 123750 125550 127875 135000 138105 139500 148500 153450 155000 165000 167400 170500 174375 178200 184140 185625 202500 204600 209250 213125 220968 222750 230175 232500 247500 251100 255750 276210 279000 297000 306900 313875 341000 348750 368280 371250 383625 405000 418500 426250 445500 460350 465000 495000 502200 511500 523125 552420 556875 613800 627750 639375 690525 697500 742500 767250 837000 852500 891000 920700 1023000 1046250 1104840 1113750 1150875 1255500 1278750 1381050 1395000 1485000 1534500 1569375 1705000 1841400 1918125 2092500 2227500 2301750 2511000 2557500 2762100 3069000 3138750 3452625 3836250 4185000 4455000 4603500 5115000 5524200 5754375 6277500 6905250 7672500 9207000 11508750 12555000 13810500 15345000 17263125 23017500 27621000 34526250 46035000 69052500 138105000
- Sum of all divisors σ(n): 544325760
- Sum of proper divisors (its aliquot sum) s(n): 406220760
- 138105000 is an abundant number, because the sum of its proper divisors (406220760) is greater than itself. Its abundance is 268115760
Bases of 138105000
- Binary: 10000011101101010000101010002
- Hexadecimal: 0x83B50A8
- Base-36: 2A82I0
Squares and roots of 138105000
- 138105000 squared (1381050002) is 19072991025000000
- 138105000 cubed (1381050003) is 2634075425507625000000000
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The
square root of 138105000 is 11751.8083714807 -
The
cube root of 138105000 is 516.8959555777
Scales and comparisons
How big is 138105000?- 138,105,000 seconds is equal to 4 years, 20 weeks, 2 days, 10 hours, 30 minutes.
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To count from 1 to 138,105,000 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 138105000 cubic inches would be around 43.1 feet tall.
Recreational maths with 138105000
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