105138000
105,138,000 is an even composite number composed of five prime numbers multiplied together.
105138000 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 105138000:
24 × 34 × 53 × 11 × 59
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 59)See below for interesting mathematical facts about the number 105138000 from the Numbermatics database.
Names of 105138000
- Cardinal: 105138000 can be written as One hundred five million, one hundred thirty-eight thousand.
Scientific notation
- Scientific notation: 1.05138 × 108
Factors of 105138000
Divisors of 105138000
- 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 16 18 20 22 24 25 27 30 33 36 40 44 45 48 50 54 55 59 60 66 72 75 80 81 88 90 99 100 108 110 118 120 125 132 135 144 150 162 165 176 177 180 198 200 216 220 225 236 240 250 264 270 275 295 297 300 324 330 354 360 375 396 400 405 432 440 450 472 495 500 528 531 540 550 590 594 600 648 649 660 675 708 720 750 792 810 825 880 885 891 900 944 990 1000 1062 1080 1100 1125 1180 1188 1200 1296 1298 1320 1350 1375 1416 1475 1485 1500 1584 1593 1620 1650 1770 1782 1800 1947 1980 2000 2025 2124 2160 2200 2250 2360 2376 2475 2596 2640 2655 2700 2750 2832 2950 2970 3000 3186 3240 3245 3300 3375 3540 3564 3600 3894 3960 4050 4125 4248 4400 4425 4455 4500 4720 4752 4779 4950 5192 5310 5400 5500 5841 5900 5940 6000 6372 6480 6490 6600 6750 7080 7128 7375 7425 7788 7920 7965 8100 8250 8496 8850 8910 9000 9558 9735 9900 10125 10384 10620 10800 11000 11682 11800 11880 12375 12744 12980 13200 13275 13500 14160 14256 14750 14850 15576 15930 16200 16225 16500 17523 17700 17820 18000 19116 19470 19800 20250 21240 22000 22125 22275 23364 23600 23760 23895 24750 25488 25960 26550 27000 29205 29500 29700 31152 31860 32400 32450 33000 35046 35400 35640 37125 38232 38940 39600 39825 40500 42480 44250 44550 46728 47790 48675 49500 51920 52569 53100 54000 58410 59000 59400 63720 64900 66000 66375 70092 70800 71280 74250 76464 77880 79650 81000 81125 87615 88500 89100 93456 95580 97350 99000 105138 106200 111375 116820 118000 118800 119475 127440 129800 132750 140184 146025 148500 155760 159300 162000 162250 175230 177000 178200 191160 194700 198000 199125 210276 212400 222750 233640 238950 243375 259600 262845 265500 280368 292050 297000 318600 324500 350460 354000 356400 382320 389400 398250 420552 438075 445500 467280 477900 486750 525690 531000 584100 594000 597375 637200 649000 700920 730125 778800 796500 841104 876150 891000 955800 973500 1051380 1062000 1168200 1194750 1298000 1314225 1401840 1460250 1593000 1752300 1782000 1911600 1947000 2102760 2190375 2336400 2389500 2628450 2920500 3186000 3504600 3894000 4205520 4380750 4779000 5256900 5841000 6571125 7009200 8761500 9558000 10513800 11682000 13142250 17523000 21027600 26284500 35046000 52569000 105138000
- Sum of all divisors σ(n): 421312320
- Sum of proper divisors (its aliquot sum) s(n): 316174320
- 105138000 is an abundant number, because the sum of its proper divisors (316174320) is greater than itself. Its abundance is 211036320
Bases of 105138000
- Binary: 1100100010001000111010100002
- Hexadecimal: 0x6444750
- Base-36: 1QLH00
Squares and roots of 105138000
- 105138000 squared (1051380002) is 11053999044000000
- 105138000 cubed (1051380003) is 1162195351488072000000000
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The
square root of 105138000 is 10253.6822654109 -
The
cube root of 105138000 is 471.9759874789
Scales and comparisons
How big is 105138000?- 105,138,000 seconds is equal to 3 years, 17 weeks, 5 days, 21 hours.
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To count from 1 to 105,138,000 would take you about five 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 105138000 cubic inches would be around 39.3 feet tall.
Recreational maths with 105138000
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