137438123827200000
137,438,123,827,200,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137438123827200000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1224 divisors.
137438123827200000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred twenty-four divisors.
Prime factorization of 137438123827200000:
216 × 3 × 55 × 7 × 56532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 5653 × 5653)See below for interesting mathematical facts about the number 137438123827200000 from the Numbermatics database.
Names of 137438123827200000
- Cardinal: 137438123827200000 can be written as One hundred thirty-seven quadrillion, four hundred thirty-eight trillion, one hundred twenty-three billion, eight hundred twenty-seven million, two hundred thousand.
Scientific notation
- Scientific notation: 1.374381238272 × 1017
Factors of 137438123827200000
Divisors of 137438123827200000
- Number of divisors d(n): 1224
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 125 128 140 150 160 168 175 192 200 210 224 240 250 256 280 300 320 336 350 375 384 400 420 448 480 500 512 525 560 600 625 640 672 700 750 768 800 840 875 896 960 1000 1024 1050 1120 1200 1250 1280 1344 1400 1500 1536 1600 1680 1750 1792 1875 1920 2000 2048 2100 2240 2400 2500 2560 2625 2688 2800 3000 3072 3125 3200 3360 3500 3584 3750 3840 4000 4096 4200 4375 4480 4800 5000 5120 5250 5376 5600 5653 6000 6144 6250 6400 6720 7000 7168 7500 7680 8000 8192 8400 8750 8960 9375 9600 10000 10240 10500 10752 11200 11306 12000 12288 12500 12800 13125 13440 14000 14336 15000 15360 16000 16384 16800 16959 17500 17920 18750 19200 20000 20480 21000 21504 21875 22400 22612 24000 24576 25000 25600 26250 26880 28000 28265 28672 30000 30720 32000 32768 33600 33918 35000 35840 37500 38400 39571 40000 40960 42000 43008 43750 44800 45224 48000 49152 50000 51200 52500 53760 56000 56530 57344 60000 61440 64000 65536 65625 67200 67836 70000 71680 75000 76800 79142 80000 81920 84000 84795 86016 87500 89600 90448 96000 98304 100000 102400 105000 107520 112000 113060 114688 118713 120000 122880 128000 131250 134400 135672 140000 141325 143360 150000 153600 158284 160000 163840 168000 169590 172032 175000 179200 180896 192000 196608 197855 200000 204800 210000 215040 224000 226120 229376 237426 240000 245760 256000 262500 268800 271344 280000 282650 286720 300000 307200 316568 320000 327680 336000 339180 344064 350000 358400 361792 384000 395710 400000 409600 420000 423975 430080 448000 452240 458752 474852 480000 491520 512000 525000 537600 542688 560000 565300 573440 593565 600000 614400 633136 640000 672000 678360 688128 700000 706625 716800 723584 768000 791420 800000 819200 840000 847950 860160 896000 904480 949704 960000 983040 989275 1024000 1050000 1075200 1085376 1120000 1130600 1146880 1187130 1200000 1228800 1266272 1280000 1344000 1356720 1376256 1400000 1413250 1433600 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3926803537920000 4294941369600000 4581270794240000 4908504422400000 5497524953088000 5726588492800000 6544672563200000 6871906191360000 8589882739200000 9162541588480000 9817008844800000 11453176985600000 13743812382720000 17179765478400000 19634017689600000 22906353971200000 27487624765440000 34359530956800000 45812707942400000 68719061913600000 137438123827200000
- Sum of all divisors σ(n): 523628930537649216
- Sum of proper divisors (its aliquot sum) s(n): 386190806710449216
- 137438123827200000 is an abundant number, because the sum of its proper divisors (386190806710449216) is greater than itself. Its abundance is 248752682883249216
Bases of 137438123827200000
- Binary: 1111010000100011100111110110101010101000100000000000000002
- Hexadecimal: 0x1E8473ED5510000
- Base-36: 11L9QYGBIJUO
Squares and roots of 137438123827200000
- 137438123827200000 squared (1374381238272000002) is 18889237881140760375459840000000000
- 137438123827200000 cubed (1374381238272000003) is 2596101414909660780075612654060699648000000000000000
-
The
square root of 137438123827200000 is 370726481.1518055019 -
The
cube root of 137438123827200000 is 516062.6236355639
Scales and comparisons
How big is 137438123827200000?- 137,438,123,827,200,000 seconds is equal to 4,370,107,213 years, 35 weeks, 18 hours, 40 minutes.
-
To count from 1 to 137,438,123,827,200,000 would take you about thirteen billion, one hundred ten million, three hundred twenty-one thousand, six hundred forty-one 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 137438123827200000 cubic inches would be around 43005.2 feet tall.
Recreational maths with 137438123827200000
- 137438123827200000 backwards is 000002728321834731
- The number of decimal digits it has is: 18
- The sum of 137438123827200000's digits is 51
- More coming soon!
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The information we have on file for 137438123827200000 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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