138528000
138,528,000 is an even composite number composed of five prime numbers multiplied together.
138528000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138528000:
28 × 32 × 53 × 13 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 37)See below for interesting mathematical facts about the number 138528000 from the Numbermatics database.
Names of 138528000
- Cardinal: 138528000 can be written as One hundred thirty-eight million, five hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38528 × 108
Factors of 138528000
Divisors of 138528000
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 37 39 40 45 48 50 52 60 64 65 72 74 75 78 80 90 96 100 104 111 117 120 125 128 130 144 148 150 156 160 180 185 192 195 200 208 222 225 234 240 250 256 260 288 296 300 312 320 325 333 360 370 375 384 390 400 416 444 450 468 480 481 500 520 555 576 585 592 600 624 640 650 666 720 740 750 768 780 800 832 888 900 925 936 960 962 975 1000 1040 1110 1125 1152 1170 1184 1200 1248 1280 1300 1332 1440 1443 1480 1500 1560 1600 1625 1664 1665 1776 1800 1850 1872 1920 1924 1950 2000 2080 2220 2250 2304 2340 2368 2400 2405 2496 2600 2664 2775 2880 2886 2925 2960 3000 3120 3200 3250 3328 3330 3552 3600 3700 3744 3840 3848 3900 4000 4160 4329 4440 4500 4625 4680 4736 4800 4810 4875 4992 5200 5328 5550 5760 5772 5850 5920 6000 6240 6400 6500 6660 7104 7200 7215 7400 7488 7696 7800 8000 8320 8325 8658 8880 9000 9250 9360 9472 9600 9620 9750 9984 10400 10656 11100 11520 11544 11700 11840 12000 12025 12480 13000 13320 13875 14208 14400 14430 14625 14800 14976 15392 15600 16000 16640 16650 17316 17760 18000 18500 18720 19200 19240 19500 20800 21312 21645 22200 23088 23400 23680 24000 24050 24960 26000 26640 27750 28416 28800 28860 29250 29600 29952 30784 31200 32000 33300 34632 35520 36000 36075 37000 37440 38480 39000 41600 41625 42624 43290 44400 46176 46800 47360 48000 48100 49920 52000 53280 55500 57600 57720 58500 59200 60125 61568 62400 66600 69264 71040 72000 72150 74000 74880 76960 78000 83200 83250 85248 86580 88800 92352 93600 96000 96200 104000 106560 108225 111000 115440 117000 118400 120250 123136 124800 133200 138528 142080 144000 144300 148000 149760 153920 156000 166500 173160 177600 180375 184704 187200 192400 208000 213120 216450 222000 230880 234000 236800 240500 249600 266400 277056 288000 288600 296000 307840 312000 333000 346320 355200 360750 369408 374400 384800 416000 426240 432900 444000 461760 468000 481000 532800 541125 554112 577200 592000 615680 624000 666000 692640 710400 721500 748800 769600 865800 888000 923520 936000 962000 1065600 1082250 1108224 1154400 1184000 1248000 1332000 1385280 1443000 1539200 1731600 1776000 1847040 1872000 1924000 2131200 2164500 2308800 2664000 2770560 2886000 3078400 3463200 3552000 3744000 3848000 4329000 4617600 5328000 5541120 5772000 6926400 7696000 8658000 9235200 10656000 11544000 13852800 15392000 17316000 23088000 27705600 34632000 46176000 69264000 138528000
- Sum of all divisors σ(n): 551315856
- Sum of proper divisors (its aliquot sum) s(n): 412787856
- 138528000 is an abundant number, because the sum of its proper divisors (412787856) is greater than itself. Its abundance is 274259856
Bases of 138528000
- Binary: 10000100000111000101000000002
- Hexadecimal: 0x841C500
- Base-36: 2AH4W0
Squares and roots of 138528000
- 138528000 squared (1385280002) is 19190006784000000
- 138528000 cubed (1385280003) is 2658353259773952000000000
-
The
square root of 138528000 is 11769.7918418297 -
The
cube root of 138528000 is 517.4231489883
Scales and comparisons
How big is 138528000?- 138,528,000 seconds is equal to 4 years, 21 weeks, 8 hours.
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To count from 1 to 138,528,000 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 138528000 cubic inches would be around 43.1 feet tall.
Recreational maths with 138528000
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