138364800
138,364,800 is an even composite number composed of six prime numbers multiplied together.
138364800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138364800:
27 × 3 × 52 × 7 × 29 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 29 × 71)See below for interesting mathematical facts about the number 138364800 from the Numbermatics database.
Names of 138364800
- Cardinal: 138364800 can be written as One hundred thirty-eight million, three hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383648 × 108
Factors of 138364800
Divisors of 138364800
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 50 56 58 60 64 70 71 75 80 84 87 96 100 105 112 116 120 128 140 142 145 150 160 168 174 175 192 200 203 210 213 224 232 240 280 284 290 300 320 336 348 350 355 384 400 406 420 426 435 448 464 480 497 525 560 568 580 600 609 640 672 696 700 710 725 800 812 840 852 870 896 928 960 994 1015 1050 1065 1120 1136 1160 1200 1218 1344 1392 1400 1420 1450 1491 1600 1624 1680 1704 1740 1775 1856 1920 1988 2030 2059 2100 2130 2175 2240 2272 2320 2400 2436 2485 2688 2784 2800 2840 2900 2982 3045 3200 3248 3360 3408 3480 3550 3712 3976 4060 4118 4200 4260 4350 4480 4544 4640 4800 4872 4970 5075 5325 5568 5600 5680 5800 5964 6090 6177 6496 6720 6816 6960 7100 7455 7952 8120 8236 8400 8520 8700 9088 9280 9600 9744 9940 10150 10295 10650 11136 11200 11360 11600 11928 12180 12354 12425 12992 13440 13632 13920 14200 14413 14910 15225 15904 16240 16472 16800 17040 17400 18560 19488 19880 20300 20590 21300 22400 22720 23200 23856 24360 24708 24850 25984 27264 27840 28400 28826 29820 30450 30885 31808 32480 32944 33600 34080 34800 37275 38976 39760 40600 41180 42600 43239 45440 46400 47712 48720 49416 49700 51475 55680 56800 57652 59640 60900 61770 63616 64960 65888 67200 68160 69600 72065 74550 77952 79520 81200 82360 85200 86478 92800 95424 97440 98832 99400 102950 113600 115304 119280 121800 123540 129920 131776 136320 139200 144130 149100 154425 159040 162400 164720 170400 172956 190848 194880 197664 198800 205900 216195 227200 230608 238560 243600 247080 263552 278400 288260 298200 308850 318080 324800 329440 340800 345912 360325 389760 395328 397600 411800 432390 461216 477120 487200 494160 576520 596400 617700 649600 658880 681600 691824 720650 790656 795200 823600 864780 922432 954240 974400 988320 1080975 1153040 1192800 1235400 1317760 1383648 1441300 1590400 1647200 1729560 1844864 1948800 1976640 2161950 2306080 2385600 2470800 2767296 2882600 3294400 3459120 3953280 4323900 4612160 4771200 4941600 5534592 5765200 6588800 6918240 8647800 9224320 9883200 11530400 13836480 17295600 19766400 23060800 27672960 34591200 46121600 69182400 138364800
- Sum of all divisors σ(n): 546393600
- Sum of proper divisors (its aliquot sum) s(n): 408028800
- 138364800 is an abundant number, because the sum of its proper divisors (408028800) is greater than itself. Its abundance is 269664000
Bases of 138364800
- Binary: 10000011111101000111100000002
- Hexadecimal: 0x83F4780
- Base-36: 2ADMYO
Squares and roots of 138364800
- 138364800 squared (1383648002) is 19144817879040000
- 138364800 cubed (1383648003) is 2648968896869793792000000
-
The
square root of 138364800 is 11762.8567958637 -
The
cube root of 138364800 is 517.2198768687
Scales and comparisons
How big is 138364800?- 138,364,800 seconds is equal to 4 years, 20 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 138,364,800 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 138364800 cubic inches would be around 43.1 feet tall.
Recreational maths with 138364800
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