138156705312768000
138,156,705,312,768,000 is an even composite number composed of five prime numbers multiplied together.
138156705312768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138156705312768000:
215 × 33 × 53 × 79 × 2513
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 79 × 251 × 251 × 251)See below for interesting mathematical facts about the number 138156705312768000 from the Numbermatics database.
Names of 138156705312768000
- Cardinal: 138156705312768000 can be written as One hundred thirty-eight quadrillion, one hundred fifty-six trillion, seven hundred five billion, three hundred twelve million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38156705312768 × 1017
Factors of 138156705312768000
Divisors of 138156705312768000
- Number of divisors d(n): 2048
-
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 79 80 90 96 100 108 120 125 128 135 144 150 158 160 180 192 200 216 225 237 240 250 251 256 270 288 300 316 320 360 375 384 395 400 432 450 474 480 500 502 512 540 576 600 632 640 675 711 720 750 753 768 790 800 864 900 948 960 1000 1004 1024 1080 1125 1152 1185 1200 1255 1264 1280 1350 1422 1440 1500 1506 1536 1580 1600 1728 1800 1896 1920 1975 2000 2008 2048 2133 2160 2250 2259 2304 2370 2400 2510 2528 2560 2700 2844 2880 3000 3012 3072 3160 3200 3375 3456 3555 3600 3765 3792 3840 3950 4000 4016 4096 4266 4320 4500 4518 4608 4740 4800 5020 5056 5120 5400 5688 5760 5925 6000 6024 6144 6275 6320 6400 6750 6777 6912 7110 7200 7530 7584 7680 7900 8000 8032 8192 8532 8640 9000 9036 9216 9480 9600 9875 10040 10112 10240 10665 10800 11295 11376 11520 11850 12000 12048 12288 12550 12640 12800 13500 13554 13824 14220 14400 15060 15168 15360 15800 16000 16064 16384 17064 17280 17775 18000 18072 18432 18825 18960 19200 19750 19829 20080 20224 20480 21330 21600 22590 22752 23040 23700 24000 24096 24576 25100 25280 25600 27000 27108 27648 28440 28800 29625 30120 30336 30720 31375 31600 32000 32128 32768 33885 34128 34560 35550 36000 36144 36864 37650 37920 38400 39500 39658 40160 40448 40960 42660 43200 45180 45504 46080 47400 48000 48192 49152 50200 50560 51200 53325 54000 54216 55296 56475 56880 57600 59250 59487 60240 60672 61440 62750 63001 63200 64000 64256 67770 68256 69120 71100 72000 72288 73728 75300 75840 76800 79000 79316 80320 80896 81920 85320 86400 88875 90360 91008 92160 94125 94800 96000 96384 98304 99145 100400 101120 102400 106650 108000 108432 110592 112950 113760 115200 118500 118974 120480 121344 122880 125500 126002 126400 128000 128512 135540 136512 138240 142200 144000 144576 147456 150600 151680 153600 158000 158632 160640 161792 163840 169425 170640 172800 177750 178461 180720 182016 184320 188250 189003 189600 192000 192768 198290 200800 202240 204800 213300 216000 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1023383002316800 1079349260256000 1105253642502144 1151305877606400 1279228752896000 1381567053127680 1439132347008000 1535074503475200 1726958816409600 1748819054592000 1842089404170240 1918843129344000 2158698520512000 2302611755212800 2558457505792000 2763134106255360 2878264694016000 3070149006950400 3453917632819200 3837686258688000 4317397041024000 4605223510425600 5116915011584000 5526268212510720 5756529388032000 6907835265638400 7675372517376000 8634794082048000 9210447020851200 11513058776064000 13815670531276800 15350745034752000 17269588164096000 23026117552128000 27631341062553600 34539176328192000 46052235104256000 69078352656384000 138156705312768000
- Sum of all divisors σ(n): 519400971468288000
- Sum of proper divisors (its aliquot sum) s(n): 381244266155520000
- 138156705312768000 is an abundant number, because the sum of its proper divisors (381244266155520000) is greater than itself. Its abundance is 243087560842752000
Bases of 138156705312768000
- Binary: 1111010101101010011001010100111111000000110000000000000002
- Hexadecimal: 0x1EAD4CA9F818000
- Base-36: 11SCGQ8ASQO0
Squares and roots of 138156705312768000
- 138156705312768000 squared (1381567053127680002) is 19087275222879017716703821824000000
- 138156705312768000 cubed (1381567053127680003) is 2637035058190994598285848097328950864248832000000000
-
The
square root of 138156705312768000 is 371694370.8381497671 -
The
cube root of 138156705312768000 is 516960.4546481175
Scales and comparisons
How big is 138156705312768000?- 138,156,705,312,768,000 seconds is equal to 4,392,955,882 years, 10 weeks, 2 days.
-
To count from 1 to 138,156,705,312,768,000 would take you about thirteen billion, one hundred seventy-eight million, eight hundred sixty-seven thousand, six hundred forty-six 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 138156705312768000 cubic inches would be around 43080 feet tall.
Recreational maths with 138156705312768000
- 138156705312768000 backwards is 000867213507651831
- The number of decimal digits it has is: 18
- The sum of 138156705312768000's digits is 63
- More coming soon!
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The information we have on file for 138156705312768000 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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