48135168000
48,135,168,000 is an even composite number composed of four prime numbers multiplied together.
48135168000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 48135168000:
213 × 33 × 53 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 1741)See below for interesting mathematical facts about the number 48135168000 from the Numbermatics database.
Names of 48135168000
- Cardinal: 48135168000 can be written as Forty-eight billion, one hundred thirty-five million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.8135168 × 1010
Factors of 48135168000
Divisors of 48135168000
- Number of divisors d(n): 448
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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 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 256 270 288 300 320 360 375 384 400 432 450 480 500 512 540 576 600 640 675 720 750 768 800 864 900 960 1000 1024 1080 1125 1152 1200 1280 1350 1440 1500 1536 1600 1728 1741 1800 1920 2000 2048 2160 2250 2304 2400 2560 2700 2880 3000 3072 3200 3375 3456 3482 3600 3840 4000 4096 4320 4500 4608 4800 5120 5223 5400 5760 6000 6144 6400 6750 6912 6964 7200 7680 8000 8192 8640 8705 9000 9216 9600 10240 10446 10800 11520 12000 12288 12800 13500 13824 13928 14400 15360 15669 16000 17280 17410 18000 18432 19200 20480 20892 21600 23040 24000 24576 25600 26115 27000 27648 27856 28800 30720 31338 32000 34560 34820 36000 36864 38400 40960 41784 43200 43525 46080 47007 48000 51200 52230 54000 55296 55712 57600 61440 62676 64000 69120 69640 72000 73728 76800 78345 83568 86400 87050 92160 94014 96000 102400 104460 108000 110592 111424 115200 122880 125352 128000 130575 138240 139280 144000 153600 156690 167136 172800 174100 184320 188028 192000 204800 208920 216000 217625 221184 222848 230400 235035 250704 256000 261150 276480 278560 288000 307200 313380 334272 345600 348200 368640 376056 384000 391725 417840 432000 435250 445696 460800 470070 501408 512000 522300 552960 557120 576000 614400 626760 652875 668544 691200 696400 752112 768000 783450 835680 864000 870500 891392 921600 940140 1002816 1024000 1044600 1105920 1114240 1152000 1175175 1253520 1305750 1337088 1382400 1392800 1504224 1536000 1566900 1671360 1728000 1741000 1782784 1843200 1880280 1958625 2005632 2089200 2228480 2304000 2350350 2507040 2611500 2674176 2764800 2785600 3008448 3072000 3133800 3342720 3456000 3482000 3565568 3760560 3917250 4011264 4178400 4456960 4608000 4700700 5014080 5223000 5348352 5529600 5571200 5875875 6016896 6267600 6685440 6912000 6964000 7131136 7521120 7834500 8022528 8356800 8913920 9216000 9401400 10028160 10446000 10696704 11142400 11751750 12033792 12535200 13370880 13824000 13928000 14262272 15042240 15669000 16045056 16713600 17827840 18802800 20056320 20892000 21393408 22284800 23503500 24067584 25070400 26741760 27648000 27856000 30084480 31338000 32090112 33427200 35655680 37605600 40112640 41784000 42786816 44569600 47007000 48135168 50140800 53483520 55712000 60168960 62676000 64180224 66854400 71311360 75211200 80225280 83568000 89139200 94014000 96270336 100281600 106967040 111424000 120337920 125352000 128360448 133708800 150422400 160450560 167136000 178278400 188028000 192540672 200563200 213934080 222848000 240675840 250704000 267417600 300844800 320901120 334272000 356556800 376056000 385081344 401126400 445696000 481351680 501408000 534835200 601689600 641802240 668544000 752112000 802252800 891392000 962703360 1002816000 1069670400 1203379200 1337088000 1504224000 1604505600 1782784000 1925406720 2005632000 2406758400 2674176000 3008448000 3209011200 4011264000 4813516800 5348352000 6016896000 8022528000 9627033600 12033792000 16045056000 24067584000 48135168000
- Sum of all divisors σ(n): 178084520640
- Sum of proper divisors (its aliquot sum) s(n): 129949352640
- 48135168000 is an abundant number, because the sum of its proper divisors (129949352640) is greater than itself. Its abundance is 81814184640
Bases of 48135168000
- Binary: 1011001101010001010001100000000000002
- Hexadecimal: 0xB35146000
- Base-36: M42FPC0
Squares and roots of 48135168000
- 48135168000 squared (481351680002) is 2316994398388224000000
- 48135168000 cubed (481351680003) is 111528914621476091461632000000000
-
The
square root of 48135168000 is 219397.2834836385 -
The
cube root of 48135168000 is 3637.6493296119
Scales and comparisons
How big is 48135168000?- 48,135,168,000 seconds is equal to 1,530 years, 28 weeks, 4 days.
-
To count from 1 to 48,135,168,000 would take you about three thousand and sixty-one 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 48135168000 cubic inches would be around 303.1 feet tall.
Recreational maths with 48135168000
- 48135168000 backwards is 00086153184
- 48135168000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 48135168000's digits is 36
- More coming soon!
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The information we have on file for 48135168000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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