138180328704000
138,180,328,704,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138180328704000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2304 divisors.
138180328704000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138180328704000:
211 × 311 × 53 × 11 × 277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 277)See below for interesting mathematical facts about the number 138180328704000 from the Numbermatics database.
Names of 138180328704000
- Cardinal: 138180328704000 can be written as One hundred thirty-eight trillion, one hundred eighty billion, three hundred twenty-eight million, seven hundred four thousand.
Scientific notation
- Scientific notation: 1.38180328704 × 1014
Factors of 138180328704000
Divisors of 138180328704000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 243 250 256 264 270 275 277 288 297 300 320 324 330 352 360 375 384 396 400 405 432 440 450 480 486 495 500 512 528 540 550 554 576 594 600 640 648 660 675 704 720 729 750 768 792 800 810 825 831 864 880 891 900 960 972 990 1000 1024 1056 1080 1100 1108 1125 1152 1188 1200 1215 1280 1296 1320 1350 1375 1385 1408 1440 1458 1485 1500 1536 1584 1600 1620 1650 1662 1728 1760 1782 1800 1920 1944 1980 2000 2025 2048 2112 2160 2187 2200 2216 2250 2304 2376 2400 2430 2475 2493 2560 2592 2640 2673 2700 2750 2770 2816 2880 2916 2970 3000 3047 3072 3168 3200 3240 3300 3324 3375 3456 3520 3564 3600 3645 3840 3888 3960 4000 4050 4125 4155 4224 4320 4374 4400 4432 4455 4500 4608 4752 4800 4860 4950 4986 5120 5184 5280 5346 5400 5500 5540 5632 5760 5832 5940 6000 6075 6094 6144 6336 6400 6480 6561 6600 6648 6750 6912 6925 7040 7128 7200 7290 7425 7479 7680 7776 7920 8000 8019 8100 8250 8310 8448 8640 8748 8800 8864 8910 9000 9141 9216 9504 9600 9720 9900 9972 10125 10240 10368 10560 10692 10800 10935 11000 11080 11264 11520 11664 11880 12000 12150 12188 12375 12465 12672 12800 12960 13122 13200 13296 13365 13500 13824 13850 14080 14256 14400 14580 14850 14958 15235 15360 15552 15840 16000 16038 16200 16500 16620 16896 17280 17496 17600 17728 17820 18000 18225 18282 18432 19008 19200 19440 19683 19800 19944 20250 20736 20775 21120 21384 21600 21870 22000 22160 22275 22437 22528 23040 23328 23760 24000 24057 24300 24376 24750 24930 25344 25600 25920 26244 26400 26592 26730 27000 27423 27648 27700 28160 28512 28800 29160 29700 29916 30375 30470 30720 31104 31680 32000 32076 32400 32805 33000 33240 33792 34560 34625 34992 35200 35456 35640 36000 36450 36564 37125 37395 38016 38400 38880 39366 39600 39888 40095 40500 41472 41550 42240 42768 43200 43740 44000 44320 44550 44874 45705 46080 46656 47520 48000 48114 48600 48752 49500 49860 50688 51200 51840 52488 52800 53184 53460 54000 54675 54846 55296 55400 56320 57024 57600 58320 59049 59400 59832 60750 60940 62208 62325 63360 64000 64152 64800 65610 66000 66480 66825 67311 67584 69120 69250 69984 70400 70912 71280 72000 72171 72900 73128 74250 74790 76032 76175 76800 77760 78732 79200 79776 80190 81000 82269 82944 83100 84480 85536 86400 87480 88000 88640 89100 89748 91125 91410 92160 93312 95040 96000 96228 97200 97504 98415 99000 99720 101376 103680 103875 104976 105600 106368 106920 108000 109350 109692 110800 111375 112185 112640 114048 115200 116640 118098 118800 119664 120285 121500 121880 124416 124650 126720 128000 128304 129600 131220 132000 132960 133650 134622 137115 138240 138500 139968 140800 141824 142560 144000 144342 145800 146256 148500 149580 152064 152350 153600 155520 157464 158400 159552 160380 162000 164025 164538 165888 166200 168960 171072 172800 174960 176000 177147 177280 178200 179496 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785115504000 837456537600 852964992000 863627054400 921202191360 959585616000 1023557990400 1046820672000 1079533818000 1105442629632 1151502739200 1256184806400 1279447488000 1381803287040 1395760896000 1439378424000 1535336985600 1570231008000 1705929984000 1727254108800 1842404382720 1919171232000 2093641344000 2159067636000 2303005478400 2512369612800 2558894976000 2763606574080 2878756848000 3070673971200 3140462016000 3454508217600 3838342464000 4187282688000 4318135272000 4606010956800 5117789952000 5527213148160 5757513696000 6280924032000 6909016435200 7676684928000 8636270544000 9212021913600 11515027392000 12561848064000 13818032870400 15353369856000 17272541088000 23030054784000 27636065740800 34545082176000 46060109568000 69090164352000 138180328704000
- Sum of all divisors σ(n): 566276827334400
- Sum of proper divisors (its aliquot sum) s(n): 428096498630400
- 138180328704000 is an abundant number, because the sum of its proper divisors (428096498630400) is greater than itself. Its abundance is 289916169926400
Bases of 138180328704000
- Binary: 111110110101100100111010110100001001000000000002
- Hexadecimal: 0x7DAC9D684800
- Base-36: 1CZB600000
Squares and roots of 138180328704000
- 138180328704000 squared (1381803287040002) is 19093803240745486319616000000
- 138180328704000 cubed (1381803287040003) is 2638388008015711745648874083057664000000000
-
The
square root of 138180328704000 is 11755012.9180703157 -
The
cube root of 138180328704000 is 51698.9917961889
Scales and comparisons
How big is 138180328704000?- 138,180,328,704,000 seconds is equal to 4,393,707 years, 1 week, 5 days.
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To count from 1 to 138,180,328,704,000 would take you about ten million, nine hundred eighty-four thousand, two hundred sixty-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 138180328704000 cubic inches would be around 4308.2 feet tall.
Recreational maths with 138180328704000
- 138180328704000 backwards is 000407823081831
- 138180328704000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138180328704000's digits is 45
- More coming soon!
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The information we have on file for 138180328704000 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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