138693723077952000
138,693,723,077,952,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138693723077952000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138693723077952000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138693723077952000:
29 × 32 × 53 × 72 × 53 × 96292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 53 × 9629 × 9629)See below for interesting mathematical facts about the number 138693723077952000 from the Numbermatics database.
Names of 138693723077952000
- Cardinal: 138693723077952000 can be written as One hundred thirty-eight quadrillion, six hundred ninety-three trillion, seven hundred twenty-three billion, seventy-seven million, nine hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38693723077952 × 1017
Factors of 138693723077952000
Divisors of 138693723077952000
- Number of divisors d(n): 2160
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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 28 30 32 35 36 40 42 45 48 49 50 53 56 60 63 64 70 72 75 80 84 90 96 98 100 105 106 112 120 125 126 128 140 144 147 150 159 160 168 175 180 192 196 200 210 212 224 225 240 245 250 252 256 265 280 288 294 300 315 318 320 336 350 360 371 375 384 392 400 420 424 441 448 450 477 480 490 500 504 512 525 530 560 576 588 600 630 636 640 672 700 720 735 742 750 768 784 795 800 840 848 875 882 896 900 954 960 980 1000 1008 1050 1060 1113 1120 1125 1152 1176 1200 1225 1260 1272 1280 1325 1344 1400 1440 1470 1484 1500 1536 1568 1575 1590 1600 1680 1696 1750 1764 1792 1800 1855 1908 1920 1960 2000 2016 2100 2120 2205 2226 2240 2250 2304 2352 2385 2400 2450 2520 2544 2560 2597 2625 2650 2688 2800 2880 2940 2968 3000 3136 3150 3180 3200 3339 3360 3392 3500 3528 3584 3600 3675 3710 3816 3840 3920 3975 4000 4032 4200 4240 4410 4452 4480 4500 4608 4704 4770 4800 4900 5040 5088 5194 5250 5300 5376 5565 5600 5760 5880 5936 6000 6125 6272 6300 6360 6400 6625 6678 6720 6784 7000 7056 7200 7350 7420 7632 7680 7791 7840 7875 7950 8000 8064 8400 8480 8820 8904 8960 9000 9275 9408 9540 9600 9629 9800 10080 10176 10388 10500 10600 10752 11025 11130 11200 11520 11760 11872 11925 12000 12250 12544 12600 12720 12800 12985 13250 13356 13440 13568 14000 14112 14400 14700 14840 15264 15582 15680 15750 15900 16000 16128 16695 16800 16960 17640 17808 17920 18000 18375 18550 18816 19080 19200 19258 19600 19875 20160 20352 20776 21000 21200 22050 22260 22400 23040 23373 23520 23744 23850 24000 24500 25088 25200 25440 25970 26500 26712 26880 27136 27825 28000 28224 28800 28887 29400 29680 30528 31164 31360 31500 31800 32000 32256 33390 33600 33920 35280 35616 36000 36750 37100 37632 38160 38400 38516 38955 39200 39750 40320 40704 41552 42000 42400 44100 44520 44800 46375 46746 47040 47488 47700 48000 48145 49000 50400 50880 51940 53000 53424 53760 55125 55650 56000 56448 57600 57774 58800 59360 59625 61056 62328 62720 63000 63600 64000 64925 66780 67200 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206389468866000 216708942309300 218071891632000 220148766790400 231156205129920 235873678704000 240787713677000 247667362639200 261686269958400 264178520148480 270886177886625 275185958488000 277387446155904 283048414444800 288945256412400 290762522176000 308208273506560 309584203299000 314498238272000 327107837448000 330223150185600 346734307694880 353810518056000 361181570515500 369849928207872 373837528512000 385260341883200 396267780222720 412778937732000 433417884618600 436143783264000 440297533580800 462312410259840 471747357408000 481575427354000 495334725278400 523372539916800 541772355773250 550371916976000 554774892311808 566096828889600 577890512824800 616416547013120 619168406598000 654215674896000 660446300371200 693468615389760 707621036112000 722363141031000 770520683766400 792535560445440 825557875464000 866835769237200 872287566528000 924624820519680 943494714816000 963150854708000 990669450556800 1083544711546500 1100743833952000 1109549784623616 1155781025649600 1238336813196000 1308431349792000 1320892600742400 1386937230779520 1415242072224000 1444726282062000 1541041367532800 1651115750928000 1733671538474400 1849249641039360 1926301709416000 1981338901113600 2167089423093000 2201487667904000 2311562051299200 2476673626392000 2616862699584000 2773874461559040 2830484144448000 2889452564124000 3082082735065600 3302231501856000 3467343076948800 3852603418832000 3962677802227200 4334178846186000 4623124102598400 4953347252784000 5547748923118080 5778905128248000 6604463003712000 6934686153897600 7705206837664000 8668357692372000 9246248205196800 9906694505568000 11557810256496000 13869372307795200 15410413675328000 17336715384744000 19813389011136000 23115620512992000 27738744615590400 34673430769488000 46231241025984000 69346861538976000 138693723077952000
- Sum of all divisors σ(n): 592133563210060872
- Sum of proper divisors (its aliquot sum) s(n): 453439840132108872
- 138693723077952000 is an abundant number, because the sum of its proper divisors (453439840132108872) is greater than itself. Its abundance is 314746117054156872
Bases of 138693723077952000
- Binary: 1111011001011110100110100110100001010001101000010000000002
- Hexadecimal: 0x1ECBD34D0A34200
- Base-36: 11XMTKSASU80
Squares and roots of 138693723077952000
- 138693723077952000 squared (1386937230779520002) is 19235948821223635196668514304000000
- 138693723077952000 cubed (1386937230779520003) is 2667905358952448063531818256551217819025408000000000
-
The
square root of 138693723077952000 is 372416061.7883605729 -
The
cube root of 138693723077952000 is 517629.4003967507
Scales and comparisons
How big is 138693723077952000?- 138,693,723,077,952,000 seconds is equal to 4,410,031,386 years, 1 week, 2 days, 8 hours.
-
To count from 1 to 138,693,723,077,952,000 would take you about thirteen billion, two hundred thirty million, ninety-four thousand, one hundred fifty-eight 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 138693723077952000 cubic inches would be around 43135.8 feet tall.
Recreational maths with 138693723077952000
- 138693723077952000 backwards is 000259770327396831
- 138693723077952000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138693723077952000's digits is 72
- More coming soon!
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The information we have on file for 138693723077952000 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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