138327715008000
138,327,715,008,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138327715008000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3120 divisors.
138327715008000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, one hundred twenty divisors.
Prime factorization of 138327715008000:
29 × 312 × 53 × 72 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 83)See below for interesting mathematical facts about the number 138327715008000 from the Numbermatics database.
Names of 138327715008000
- Cardinal: 138327715008000 can be written as One hundred thirty-eight trillion, three hundred twenty-seven billion, seven hundred fifteen million, eight thousand.
Scientific notation
- Scientific notation: 1.38327715008 × 1014
Factors of 138327715008000
Divisors of 138327715008000
- Number of divisors d(n): 3120
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 83 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 162 166 168 175 180 189 192 196 200 210 216 224 225 240 243 245 249 250 252 256 270 280 288 294 300 315 320 324 332 336 350 360 375 378 384 392 400 405 415 420 432 441 448 450 480 486 490 498 500 504 512 525 540 560 567 576 581 588 600 630 640 648 664 672 675 700 720 729 735 747 750 756 768 784 800 810 830 840 864 875 882 896 900 945 960 972 980 996 1000 1008 1050 1080 1120 1125 1134 1152 1162 1176 1200 1215 1225 1245 1260 1280 1296 1323 1328 1344 1350 1400 1440 1458 1470 1494 1500 1512 1536 1568 1575 1600 1620 1660 1680 1701 1728 1743 1750 1764 1792 1800 1890 1920 1944 1960 1992 2000 2016 2025 2075 2100 2160 2187 2205 2240 2241 2250 2268 2304 2324 2352 2400 2430 2450 2490 2520 2560 2592 2625 2646 2656 2688 2700 2800 2835 2880 2905 2916 2940 2988 3000 3024 3136 3150 3200 3240 3320 3360 3375 3402 3456 3486 3500 3528 3584 3600 3645 3675 3735 3780 3840 3888 3920 3969 3984 4000 4032 4050 4067 4150 4200 4320 4374 4410 4480 4482 4500 4536 4608 4648 4704 4725 4800 4860 4900 4980 5040 5103 5184 5229 5250 5292 5312 5376 5400 5600 5670 5760 5810 5832 5880 5976 6000 6048 6075 6125 6225 6272 6300 6400 6480 6561 6615 6640 6720 6723 6750 6804 6912 6972 7000 7056 7200 7290 7350 7470 7560 7680 7776 7840 7875 7938 7968 8000 8064 8100 8134 8300 8400 8505 8640 8715 8748 8820 8960 8964 9000 9072 9296 9408 9450 9600 9720 9800 9960 10080 10125 10206 10368 10375 10458 10500 10584 10624 10752 10800 10935 11025 11200 11205 11340 11520 11620 11664 11760 11907 11952 12000 12096 12150 12201 12250 12450 12544 12600 12800 12960 13122 13230 13280 13440 13446 13500 13608 13824 13944 14000 14112 14175 14400 14525 14580 14700 14940 15120 15309 15552 15680 15687 15750 15876 15936 16000 16128 16200 16268 16600 16800 17010 17280 17430 17496 17640 17920 17928 18000 18144 18225 18375 18592 18675 18816 18900 19200 19440 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1024649740800 1080685273500 1097839008000 1106621720064 1152730958400 1235068884000 1280812176000 1317406809600 1383277150080 1411507296000 1440913698000 1536974611200 1646758512000 1666598976000 1707749568000 1729096437600 1844369533440 1921218264000 1976110214400 2161370547000 2195678016000 2305461916800 2470137768000 2561624352000 2766554300160 2823014592000 2881827396000 3073949222400 3293517024000 3458192875200 3842436528000 3952220428800 4322741094000 4610923833600 4940275536000 5123248704000 5533108600320 5763654792000 6587034048000 6916385750400 7684873056000 8645482188000 9221847667200 9880551072000 11527309584000 13832771500800 15369746112000 17290964376000 19761102144000 23054619168000 27665543001600 34581928752000 46109238336000 69163857504000 138327715008000
- Sum of all divisors σ(n): 609116574450384
- Sum of proper divisors (its aliquot sum) s(n): 470788859442384
- 138327715008000 is an abundant number, because the sum of its proper divisors (470788859442384) is greater than itself. Its abundance is 332461144434384
Bases of 138327715008000
- Binary: 111110111001110111011100101000011001110000000002
- Hexadecimal: 0x7DCEEE50CE00
- Base-36: 1D16VI0000
Squares and roots of 138327715008000
- 138327715008000 squared (1383277150080002) is 19134556739334468440064000000
- 138327715008000 cubed (1383277150080003) is 2646839511443064093968343321280512000000000
-
The
square root of 138327715008000 is 11761280.3303041799 -
The
cube root of 138327715008000 is 51717.3663744741
Scales and comparisons
How big is 138327715008000?- 138,327,715,008,000 seconds is equal to 4,398,393 years, 24 weeks.
-
To count from 1 to 138,327,715,008,000 would take you about ten million, nine hundred ninety-five thousand, nine hundred eighty-three 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 138327715008000 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138327715008000
- 138327715008000 backwards is 000800517723831
- 138327715008000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138327715008000's digits is 45
- More coming soon!
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"Number 138327715008000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 138327715008000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/138327715008000/
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The information we have on file for 138327715008000 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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