138412800
138,412,800 is an even composite number composed of four prime numbers multiplied together.
138412800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 138412800:
28 × 35 × 52 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 89)See below for interesting mathematical facts about the number 138412800 from the Numbermatics database.
Names of 138412800
- Cardinal: 138412800 can be written as One hundred thirty-eight million, four hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384128 × 108
Factors of 138412800
Divisors of 138412800
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 89 90 96 100 108 120 128 135 144 150 160 162 178 180 192 200 216 225 240 243 256 267 270 288 300 320 324 356 360 384 400 405 432 445 450 480 486 534 540 576 600 640 648 675 712 720 768 800 801 810 864 890 900 960 972 1068 1080 1152 1200 1215 1280 1296 1335 1350 1424 1440 1600 1602 1620 1728 1780 1800 1920 1944 2025 2136 2160 2225 2304 2400 2403 2430 2592 2670 2700 2848 2880 3200 3204 3240 3456 3560 3600 3840 3888 4005 4050 4272 4320 4450 4800 4806 4860 5184 5340 5400 5696 5760 6075 6400 6408 6480 6675 6912 7120 7200 7209 7776 8010 8100 8544 8640 8900 9600 9612 9720 10368 10680 10800 11392 11520 12015 12150 12816 12960 13350 14240 14400 14418 15552 16020 16200 17088 17280 17800 19200 19224 19440 20025 20736 21360 21600 21627 22784 24030 24300 25632 25920 26700 28480 28800 28836 31104 32040 32400 34176 34560 35600 36045 38448 38880 40050 42720 43200 43254 48060 48600 51264 51840 53400 56960 57600 57672 60075 62208 64080 64800 68352 71200 72090 76896 77760 80100 85440 86400 86508 96120 97200 102528 103680 106800 108135 113920 115344 120150 128160 129600 142400 144180 153792 155520 160200 170880 172800 173016 180225 192240 194400 205056 213600 216270 230688 240300 256320 259200 284800 288360 307584 311040 320400 341760 346032 360450 384480 388800 427200 432540 461376 480600 512640 518400 540675 569600 576720 615168 640800 692064 720900 768960 777600 854400 865080 922752 961200 1025280 1081350 1153440 1281600 1384128 1441800 1537920 1555200 1708800 1730160 1845504 1922400 2162700 2306880 2563200 2768256 2883600 3075840 3460320 3844800 4325400 4613760 5126400 5536512 5767200 6920640 7689600 8650800 9227520 11534400 13841280 15379200 17301600 23068800 27682560 34603200 46137600 69206400 138412800
- Sum of all divisors σ(n): 518951160
- Sum of proper divisors (its aliquot sum) s(n): 380538360
- 138412800 is an abundant number, because the sum of its proper divisors (380538360) is greater than itself. Its abundance is 242125560
Bases of 138412800
- Binary: 10000100000000000011000000002
- Hexadecimal: 0x8400300
- Base-36: 2AEO00
Squares and roots of 138412800
- 138412800 squared (1384128002) is 19158103203840000
- 138412800 cubed (1384128003) is 2651726707132465152000000
-
The
square root of 138412800 is 11764.8969396251 -
The
cube root of 138412800 is 517.2796793709
Scales and comparisons
How big is 138412800?- 138,412,800 seconds is equal to 4 years, 20 weeks, 6 days.
-
To count from 1 to 138,412,800 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 138412800 cubic inches would be around 43.1 feet tall.
Recreational maths with 138412800
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