138331561328640000
138,331,561,328,640,000 is an even composite number composed of five prime numbers multiplied together.
138331561328640000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five thousand, four hundred divisors.
Prime factorization of 138331561328640000:
219 × 38 × 54 × 372 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 37 × 37 × 47)See below for interesting mathematical facts about the number 138331561328640000 from the Numbermatics database.
Names of 138331561328640000
- Cardinal: 138331561328640000 can be written as One hundred thirty-eight quadrillion, three hundred thirty-one trillion, five hundred sixty-one billion, three hundred twenty-eight million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3833156132864 × 1017
Factors of 138331561328640000
Divisors of 138331561328640000
- Number of divisors d(n): 5400
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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 37 40 45 47 48 50 54 60 64 72 74 75 80 81 90 94 96 100 108 111 120 125 128 135 141 144 148 150 160 162 180 185 188 192 200 216 222 225 235 240 243 250 256 270 282 288 296 300 320 324 333 360 370 375 376 384 400 405 423 432 444 450 470 480 486 500 512 540 555 564 576 592 600 625 640 648 666 675 705 720 729 740 750 752 768 800 810 846 864 888 900 925 940 960 972 999 1000 1024 1080 1110 1125 1128 1152 1175 1184 1200 1215 1250 1269 1280 1296 1332 1350 1369 1410 1440 1458 1480 1500 1504 1536 1600 1620 1665 1692 1728 1739 1776 1800 1850 1875 1880 1920 1944 1998 2000 2025 2048 2115 2160 2187 2220 2250 2256 2304 2350 2368 2400 2430 2500 2538 2560 2592 2664 2700 2738 2775 2820 2880 2916 2960 2997 3000 3008 3072 3200 3240 3330 3375 3384 3456 3478 3525 3552 3600 3645 3700 3750 3760 3807 3840 3888 3996 4000 4050 4096 4107 4230 4320 4374 4440 4500 4512 4608 4625 4700 4736 4800 4860 4995 5000 5076 5120 5184 5217 5328 5400 5476 5550 5625 5640 5760 5832 5875 5920 5994 6000 6016 6075 6144 6345 6400 6480 6561 6660 6750 6768 6845 6912 6956 7050 7104 7200 7290 7400 7500 7520 7614 7680 7776 7992 8000 8100 8192 8214 8325 8460 8640 8695 8748 8880 8991 9000 9024 9216 9250 9400 9472 9600 9720 9990 10000 10125 10152 10240 10368 10434 10575 10656 10800 10935 10952 11100 11250 11280 11421 11520 11664 11750 11840 11988 12000 12032 12150 12288 12321 12690 12800 12960 13122 13320 13500 13536 13690 13824 13875 13912 14100 14208 14400 14580 14800 14985 15000 15040 15228 15360 15552 15651 15984 16000 16200 16384 16428 16650 16875 16920 17280 17390 17496 17625 17760 17982 18000 18048 18225 18432 18500 18800 18944 19035 19200 19440 19980 20000 20250 20304 20480 20535 20736 20868 21150 21312 21600 21870 21904 22200 22500 22560 22842 23040 23125 23328 23500 23680 23976 24000 24064 24300 24576 24642 24975 25380 25600 25920 26085 26244 26640 26973 27000 27072 27380 27648 27750 27824 28200 28416 28800 29160 29375 29600 29970 30000 30080 30375 30456 30720 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2305526022144000 2561695580160000 2766631226572800 2881907527680000 2943224709120000 3074034696192000 3458289033216000 3738690846720000 3842543370240000 4322861291520000 4611052044288000 5123391160320000 5533262453145600 5763815055360000 6916578066432000 7685086740480000 8645722583040000 9222104088576000 11527630110720000 13833156132864000 15370173480960000 17291445166080000 23055260221440000 27666312265728000 34582890332160000 46110520442880000 69165780664320000 138331561328640000
- Sum of all divisors σ(n): 544283413218745200
- Sum of proper divisors (its aliquot sum) s(n): 405951851890105200
- 138331561328640000 is an abundant number, because the sum of its proper divisors (405951851890105200) is greater than itself. Its abundance is 267620290561465200
Bases of 138331561328640000
- Binary: 1111010110111001111010010011101100011100000000000000000002
- Hexadecimal: 0x1EB73D276380000
- Base-36: 11U2G1Z40000
Squares and roots of 138331561328640000
- 138331561328640000 squared (1383315613286400002) is 19135620859619289522084249600000000
- 138331561328640000 cubed (1383315613286400003) is 2647060310504028624606141529219393388544000000000000
-
The
square root of 138331561328640000 is 371929511.2365244943 -
The
cube root of 138331561328640000 is 517178.4571859305
Scales and comparisons
How big is 138331561328640000?- 138,331,561,328,640,000 seconds is equal to 4,398,515,762 years, 33 weeks, 1 day.
-
To count from 1 to 138,331,561,328,640,000 would take you about thirteen billion, one hundred ninety-five million, five hundred forty-seven thousand, two hundred eighty-seven 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 138331561328640000 cubic inches would be around 43098.2 feet tall.
Recreational maths with 138331561328640000
- 138331561328640000 backwards is 000046823165133831
- 138331561328640000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138331561328640000's digits is 54
- More coming soon!
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"Number 138331561328640000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 138331561328640000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138331561328640000/
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The information we have on file for 138331561328640000 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!
Keywords: Divisors of 138331561328640000, math, Factors of 138331561328640000, curriculum, school, college, exams, university, Prime factorization of 138331561328640000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred thirty-one trillion, five hundred sixty-one billion, three hundred twenty-eight million, six hundred forty thousand.