138415446163456000
138,415,446,163,456,000 is an even composite number composed of five prime numbers multiplied together.
138415446163456000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 138415446163456000:
226 × 53 × 72 × 114 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 23)See below for interesting mathematical facts about the number 138415446163456000 from the Numbermatics database.
Names of 138415446163456000
- Cardinal: 138415446163456000 can be written as One hundred thirty-eight quadrillion, four hundred fifteen trillion, four hundred forty-six billion, one hundred sixty-three million, four hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.38415446163456 × 1017
Factors of 138415446163456000
Divisors of 138415446163456000
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 25 28 32 35 40 44 46 49 50 55 56 64 70 77 80 88 92 98 100 110 112 115 121 125 128 140 154 160 161 175 176 184 196 200 220 224 230 242 245 250 253 256 275 280 308 320 322 350 352 368 385 392 400 440 448 460 484 490 500 506 512 539 550 560 575 605 616 640 644 700 704 736 770 784 800 805 847 875 880 896 920 968 980 1000 1012 1024 1078 1100 1120 1127 1150 1210 1225 1232 1265 1280 1288 1331 1375 1400 1408 1472 1540 1568 1600 1610 1694 1750 1760 1771 1792 1840 1925 1936 1960 2000 2024 2048 2156 2200 2240 2254 2300 2420 2450 2464 2530 2560 2576 2662 2695 2750 2783 2800 2816 2875 2944 3025 3080 3136 3200 3220 3388 3500 3520 3542 3584 3680 3850 3872 3920 4000 4025 4048 4096 4235 4312 4400 4480 4508 4600 4840 4900 4928 5060 5120 5152 5324 5390 5500 5566 5600 5632 5635 5750 5888 5929 6050 6125 6160 6272 6325 6400 6440 6655 6776 7000 7040 7084 7168 7360 7700 7744 7840 8000 8050 8096 8192 8470 8624 8800 8855 8960 9016 9200 9317 9625 9680 9800 9856 10120 10240 10304 10648 10780 11000 11132 11200 11264 11270 11500 11776 11858 12100 12250 12320 12397 12544 12650 12800 12880 13310 13475 13552 13915 14000 14080 14168 14336 14641 14720 15125 15400 15488 15680 16000 16100 16192 16384 16940 17248 17600 17710 17920 18032 18400 18634 19250 19360 19481 19600 19712 20125 20240 20480 20608 21175 21296 21560 22000 22264 22400 22528 22540 23000 23552 23716 24200 24500 24640 24794 25088 25300 25600 25760 26620 26950 27104 27830 28000 28160 28175 28336 28672 29282 29440 29645 30250 30613 30800 30976 31360 31625 32000 32200 32384 32768 33275 33880 34496 35200 35420 35840 36064 36800 37268 38500 38720 38962 39200 39424 40250 40480 40960 41216 42350 42592 43120 44000 44275 44528 44800 45056 45080 46000 46585 47104 47432 48400 49000 49280 49588 50176 50600 51200 51520 53240 53900 54208 55660 56000 56320 56350 56672 57344 58564 58880 59290 60500 61226 61600 61952 61985 62720 63250 64000 64400 64768 65219 65536 66550 67375 67760 68992 69575 70400 70840 71680 72128 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120361257533440 122817609728000 123585219788800 125832223784960 128400228352000 135171334144000 136774156288000 138415446163456 141240251187200 142991163392000 150451571916800 154481524736000 157290279731200 158189081329664 163418472448000 171944653619200 173019307704320 176550313984000 179760319692800 188064464896000 196612849664000 197736351662080 214930817024000 216274134630400 224700399616000 228785861427200 240722515066880 247170439577600 251664447569920 256800456704000 270342668288000 273548312576000 276830892326912 282480502374400 285982326784000 300903143833600 308963049472000 314580559462400 346038615408640 353100627968000 359520639385600 376128929792000 393225699328000 395472703324160 429861634048000 432548269260800 449400799232000 494340879155200 503328895139840 540685336576000 547096625152000 553661784653824 564961004748800 571964653568000 601806287667200 617926098944000 629161118924800 692077230817280 706201255936000 752257859584000 786451398656000 790945406648320 859723268096000 865096538521600 898801598464000 988681758310400 1081370673152000 1107323569307648 1143929307136000 1203612575334400 1235852197888000 1258322237849600 1384154461634560 1412402511872000 1504515719168000 1572902797312000 1730193077043200 1797603196928000 1977363516620800 2162741346304000 2471704395776000 2516644475699200 2768308923269120 2824805023744000 3009031438336000 3145805594624000 3460386154086400 3954727033241600 4325482692608000 4943408791552000 5536617846538240 6018062876672000 6291611189248000 6920772308172800 8650965385216000 9886817583104000 12583222378496000 13841544616345600 17301930770432000 19773635166208000 27683089232691200 34603861540864000 69207723081728000 138415446163456000
- Sum of all divisors σ(n): 461297716289635680
- Sum of proper divisors (its aliquot sum) s(n): 322882270126179680
- 138415446163456000 is an abundant number, because the sum of its proper divisors (322882270126179680) is greater than itself. Its abundance is 184466823962723680
Bases of 138415446163456000
- Binary: 1111010111100000000011101011011000000000000000000000000002
- Hexadecimal: 0x1EBC01D6C000000
- Base-36: 11UW6I4WT24G
Squares and roots of 138415446163456000
- 138415446163456000 squared (1384154461634560002) is 19158835736628586309469863936000000
- 138415446163456000 cubed (1384154461634560003) is 2651878796457810964541127444061461535522816000000000
-
The
square root of 138415446163456000 is 372042263.9478692345 -
The
cube root of 138415446163456000 is 517282.9757852787
Scales and comparisons
How big is 138415446163456000?- 138,415,446,163,456,000 seconds is equal to 4,401,183,040 years, 47 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,415,446,163,456,000 would take you about thirteen billion, two hundred three million, five hundred forty-nine thousand, one hundred twenty-two 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 138415446163456000 cubic inches would be around 43106.9 feet tall.
Recreational maths with 138415446163456000
- 138415446163456000 backwards is 000654361644514831
- The number of decimal digits it has is: 18
- The sum of 138415446163456000's digits is 61
- More coming soon!
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Cite this page
MLA style:
"Number 138415446163456000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 138415446163456000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138415446163456000/
Chicago style:
Numbermatics. 2024. "Number 138415446163456000 - Facts about the integer". https://numbermatics.com/n/138415446163456000/
The information we have on file for 138415446163456000 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!
Keywords: Divisors of 138415446163456000, math, Factors of 138415446163456000, curriculum, school, college, exams, university, Prime factorization of 138415446163456000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred fifteen trillion, four hundred forty-six billion, one hundred sixty-three million, four hundred fifty-six thousand.