138474000
138,474,000 is an even composite number composed of five prime numbers multiplied together.
138474000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138474000:
24 × 32 × 53 × 72 × 157
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 157)See below for interesting mathematical facts about the number 138474000 from the Numbermatics database.
Names of 138474000
- Cardinal: 138474000 can be written as One hundred thirty-eight million, four hundred seventy-four thousand.
Scientific notation
- Scientific notation: 1.38474 × 108
Factors of 138474000
Divisors of 138474000
- Number of divisors d(n): 360
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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 25 28 30 35 36 40 42 45 48 49 50 56 60 63 70 72 75 80 84 90 98 100 105 112 120 125 126 140 144 147 150 157 168 175 180 196 200 210 225 240 245 250 252 280 294 300 314 315 336 350 360 375 392 400 420 441 450 471 490 500 504 525 560 588 600 628 630 700 720 735 750 784 785 840 875 882 900 942 980 1000 1008 1050 1099 1125 1176 1200 1225 1256 1260 1400 1413 1470 1500 1570 1575 1680 1750 1764 1800 1884 1960 2000 2100 2198 2205 2250 2352 2355 2450 2512 2520 2625 2800 2826 2940 3000 3140 3150 3297 3500 3528 3600 3675 3768 3920 3925 4200 4396 4410 4500 4710 4900 5040 5250 5495 5652 5880 6000 6125 6280 6300 6594 7000 7056 7065 7350 7536 7693 7850 7875 8400 8792 8820 9000 9420 9800 9891 10500 10990 11025 11304 11760 11775 12250 12560 12600 13188 14000 14130 14700 15386 15700 15750 16485 17584 17640 18000 18375 18840 19600 19625 19782 21000 21980 22050 22608 23079 23550 24500 25200 26376 27475 28260 29400 30772 31400 31500 32970 35280 35325 36750 37680 38465 39250 39564 42000 43960 44100 46158 47100 49000 49455 52752 54950 55125 56520 58800 58875 61544 62800 63000 65940 69237 70650 73500 76930 78500 79128 82425 87920 88200 92316 94200 98000 98910 109900 110250 113040 115395 117750 123088 126000 131880 137375 138474 141300 147000 153860 157000 158256 164850 176400 176625 184632 188400 192325 197820 219800 220500 230790 235500 247275 263760 274750 276948 282600 294000 307720 314000 329700 346185 353250 369264 384650 395640 412125 439600 441000 461580 471000 494550 549500 553896 565200 576975 615440 659400 692370 706500 769300 791280 824250 882000 923160 942000 961625 989100 1099000 1107792 1153950 1236375 1318800 1384740 1413000 1538600 1648500 1730925 1846320 1923250 1978200 2198000 2307900 2472750 2769480 2826000 2884875 3077200 3297000 3461850 3846500 3956400 4615800 4945500 5538960 5769750 6594000 6923700 7693000 8654625 9231600 9891000 11539500 13847400 15386000 17309250 19782000 23079000 27694800 34618500 46158000 69237000 138474000
- Sum of all divisors σ(n): 566189208
- Sum of proper divisors (its aliquot sum) s(n): 427715208
- 138474000 is an abundant number, because the sum of its proper divisors (427715208) is greater than itself. Its abundance is 289241208
Bases of 138474000
- Binary: 10000100000011110010000100002
- Hexadecimal: 0x840F210
- Base-36: 2AFZ80
Squares and roots of 138474000
- 138474000 squared (1384740002) is 19175048676000000
- 138474000 cubed (1384740003) is 2655245690360424000000000
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The
square root of 138474000 is 11767.4976099423 -
The
cube root of 138474000 is 517.3559075127
Scales and comparisons
How big is 138474000?- 138,474,000 seconds is equal to 4 years, 20 weeks, 6 days, 17 hours.
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To count from 1 to 138,474,000 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 138474000 cubic inches would be around 43.1 feet tall.
Recreational maths with 138474000
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