42138144000
42,138,144,000 is an even composite number composed of four prime numbers multiplied together.
42138144000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 42138144000:
28 × 35 × 53 × 5419
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5419)See below for interesting mathematical facts about the number 42138144000 from the Numbermatics database.
Names of 42138144000
- Cardinal: 42138144000 can be written as Forty-two billion, one hundred thirty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.2138144 × 1010
Factors of 42138144000
Divisors of 42138144000
- Number of divisors d(n): 432
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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 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 486 500 540 576 600 640 648 675 720 750 768 800 810 864 900 960 972 1000 1080 1125 1152 1200 1215 1280 1296 1350 1440 1500 1600 1620 1728 1800 1920 1944 2000 2025 2160 2250 2304 2400 2430 2592 2700 2880 3000 3200 3240 3375 3456 3600 3840 3888 4000 4050 4320 4500 4800 4860 5184 5400 5419 5760 6000 6075 6400 6480 6750 6912 7200 7776 8000 8100 8640 9000 9600 9720 10125 10368 10800 10838 11520 12000 12150 12960 13500 14400 15552 16000 16200 16257 17280 18000 19200 19440 20250 20736 21600 21676 24000 24300 25920 27000 27095 28800 30375 31104 32000 32400 32514 34560 36000 38880 40500 43200 43352 48000 48600 48771 51840 54000 54190 57600 60750 62208 64800 65028 72000 77760 81000 81285 86400 86704 96000 97200 97542 103680 108000 108380 121500 129600 130056 135475 144000 146313 155520 162000 162570 172800 173408 194400 195084 216000 216760 243000 243855 259200 260112 270950 288000 292626 311040 324000 325140 346816 388800 390168 406425 432000 433520 438939 486000 487710 518400 520224 541900 585252 648000 650280 677375 693632 731565 777600 780336 812850 864000 867040 877878 972000 975420 1040448 1083800 1170504 1219275 1296000 1300560 1316817 1354750 1387264 1463130 1555200 1560672 1625700 1734080 1755756 1944000 1950840 2032125 2080896 2167600 2194695 2341008 2438550 2592000 2601120 2633634 2709500 2926260 3121344 3251400 3468160 3511512 3657825 3888000 3901680 4064250 4161792 4335200 4389390 4682016 4877100 5202240 5267268 5419000 5852520 6096375 6242688 6502800 6584085 6936320 7023024 7315650 7776000 7803360 8128500 8670400 8778780 9364032 9754200 10404480 10534536 10838000 10973475 11705040 12192750 12485376 13005600 13168170 14046048 14631300 15606720 16257000 17340800 17557560 18289125 18728064 19508400 20808960 21069072 21676000 21946950 23410080 24385500 26011200 26336340 28092096 29262600 31213440 32514000 32920425 34681600 35115120 36578250 37456128 39016800 42138144 43352000 43893900 46820160 48771000 52022400 52672680 54867375 56184192 58525200 62426880 65028000 65840850 70230240 73156500 78033600 84276288 86704000 87787800 93640320 97542000 104044800 105345360 109734750 112368384 117050400 130056000 131681700 140460480 146313000 156067200 164602125 168552576 173408000 175575600 187280640 195084000 210690720 219469500 234100800 260112000 263363400 280920960 292626000 312134400 329204250 337105152 351151200 390168000 421381440 438939000 468201600 520224000 526726800 561841920 585252000 658408500 702302400 780336000 842762880 877878000 936403200 1053453600 1170504000 1316817000 1404604800 1560672000 1685525760 1755756000 2106907200 2341008000 2633634000 2809209600 3511512000 4213814400 4682016000 5267268000 7023024000 8427628800 10534536000 14046048000 21069072000 42138144000
- Sum of all divisors σ(n): 157270102080
- Sum of proper divisors (its aliquot sum) s(n): 115131958080
- 42138144000 is an abundant number, because the sum of its proper divisors (115131958080) is greater than itself. Its abundance is 72993814080
Bases of 42138144000
- Binary: 1001110011111010000100001101000000002
- Hexadecimal: 0x9CFA10D00
- Base-36: JCVYO00
Squares and roots of 42138144000
- 42138144000 squared (421381440002) is 1775623179764736000000
- 42138144000 cubed (421381440003) is 74821465238664331689984000000000
-
The
square root of 42138144000 is 205275.7754826417 -
The
cube root of 42138144000 is 3479.8335235463
Scales and comparisons
How big is 42138144000?- 42,138,144,000 seconds is equal to 1,339 years, 44 weeks, 6 days.
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To count from 1 to 42,138,144,000 would take you about two thousand, six hundred seventy-nine 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 42138144000 cubic inches would be around 290 feet tall.
Recreational maths with 42138144000
- 42138144000 backwards is 00044183124
- 42138144000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42138144000's digits is 27
- More coming soon!
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