138282778800000
138,282,778,800,000 is an even composite number composed of six prime numbers multiplied together.
138282778800000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138282778800000:
27 × 34 × 55 × 31 × 37 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 31 × 37 × 61 × 61)See below for interesting mathematical facts about the number 138282778800000 from the Numbermatics database.
Names of 138282778800000
- Cardinal: 138282778800000 can be written as One hundred thirty-eight trillion, two hundred eighty-two billion, seven hundred seventy-eight million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.382827788 × 1014
Factors of 138282778800000
Divisors of 138282778800000
- Number of divisors d(n): 2880
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 37 40 45 48 50 54 60 61 62 64 72 74 75 80 81 90 93 96 100 108 111 120 122 124 125 128 135 144 148 150 155 160 162 180 183 185 186 192 200 216 222 225 240 244 248 250 270 279 288 296 300 305 310 320 324 333 360 366 370 372 375 384 400 405 432 444 450 465 480 488 496 500 540 549 555 558 576 592 600 610 620 625 640 648 666 675 720 732 740 744 750 775 800 810 837 864 888 900 915 925 930 960 976 992 999 1000 1080 1098 1110 1116 1125 1147 1152 1184 1200 1220 1240 1250 1296 1332 1350 1395 1440 1464 1480 1488 1500 1525 1550 1600 1620 1647 1665 1674 1728 1776 1800 1830 1850 1860 1875 1891 1920 1952 1984 1998 2000 2025 2160 2196 2220 2232 2250 2257 2294 2325 2368 2400 2440 2480 2500 2511 2592 2664 2700 2745 2775 2790 2880 2928 2960 2976 2997 3000 3050 3100 3125 3200 3240 3294 3330 3348 3375 3441 3456 3552 3600 3660 3700 3720 3721 3750 3782 3875 3904 3968 3996 4000 4050 4185 4320 4392 4440 4464 4500 4514 4575 4588 4625 4650 4736 4800 4880 4941 4960 4995 5000 5022 5184 5328 5400 5490 5550 5580 5625 5673 5735 5760 5856 5920 5952 5994 6000 6100 6200 6250 6480 6588 6660 6696 6750 6771 6882 6975 7104 7200 7320 7400 7440 7442 7500 7564 7625 7750 7808 7992 8000 8100 8235 8325 8370 8640 8784 8880 8928 9000 9028 9150 9176 9250 9300 9375 9455 9600 9760 9882 9920 9990 10000 10044 10125 10323 10368 10656 10800 10980 11100 11160 11163 11250 11285 11346 11470 11625 11712 11840 11904 11988 12000 12200 12400 12500 12555 12960 13176 13320 13392 13500 13542 13725 13764 13875 13950 14208 14400 14640 14800 14880 14884 14985 15000 15128 15250 15500 15984 16000 16200 16470 16650 16740 16875 17019 17205 17280 17568 17760 17856 18000 18056 18300 18352 18500 18600 18605 18750 18910 19375 19520 19764 19840 19980 20000 20088 20250 20313 20646 20925 21312 21600 21960 22200 22320 22326 22500 22570 22692 22875 22940 23125 23250 23424 23680 23976 24000 24400 24705 24800 24975 25000 25110 25920 26352 26640 26784 27000 27084 27450 27528 27750 27900 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921885192000 934343100000 960297075000 1024316880000 1080334209375 1106262230400 1115183700000 1133465400000 1152356490000 1245790800000 1280396100000 1382827788000 1440445612500 1486911600000 1536475320000 1707194800000 1728534735000 1843770384000 1868686200000 1920594150000 2160668418750 2230367400000 2266930800000 2304712980000 2560792200000 2765655576000 2880891225000 3072950640000 3457069470000 3737372400000 3841188300000 4321336837500 4460734800000 4609425960000 5121584400000 5531311152000 5761782450000 6914138940000 7682376600000 8642673675000 9218851920000 11523564900000 13828277880000 15364753200000 17285347350000 23047129800000 27656555760000 34570694700000 46094259600000 69141389400000 138282778800000
- Sum of all divisors σ(n): 554405724512640
- Sum of proper divisors (its aliquot sum) s(n): 416122945712640
- 138282778800000 is an abundant number, because the sum of its proper divisors (416122945712640) is greater than itself. Its abundance is 277840166912640
Bases of 138282778800000
- Binary: 111110111000100011101111110100010101111100000002
- Hexadecimal: 0x7DC477E8AF80
- Base-36: 1D0M8C5400
Squares and roots of 138282778800000
- 138282778800000 squared (1382827788000002) is 19122126912649729440000000000
- 138282778800000 cubed (1382827788000003) is 2644260846047469458031367872000000000000000
-
The
square root of 138282778800000 is 11759369.8300546699 -
The
cube root of 138282778800000 is 51711.7655830759
Scales and comparisons
How big is 138282778800000?- 138,282,778,800,000 seconds is equal to 4,396,964 years, 32 weeks, 5 days.
-
To count from 1 to 138,282,778,800,000 would take you about ten million, nine hundred ninety-two thousand, four hundred eleven 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 138282778800000 cubic inches would be around 4309.3 feet tall.
Recreational maths with 138282778800000
- 138282778800000 backwards is 000008877282831
- 138282778800000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138282778800000's digits is 54
- More coming soon!
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"Number 138282778800000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138282778800000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138282778800000/
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The information we have on file for 138282778800000 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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