138072976310550016
138,072,976,310,550,016 is an even composite number composed of three prime numbers multiplied together.
138072976310550016 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of two hundred eighty divisors.
Prime factorization of 138072976310550016:
29 × 233 × 536
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 23 × 23 × 23 × 53 × 53 × 53 × 53 × 53 × 53)See below for interesting mathematical facts about the number 138072976310550016 from the Numbermatics database.
Names of 138072976310550016
- Cardinal: 138072976310550016 can be written as One hundred thirty-eight quadrillion, seventy-two trillion, nine hundred seventy-six billion, three hundred ten million, five hundred fifty thousand and sixteen.
Scientific notation
- Scientific notation: 1.38072976310550016 × 1017
Factors of 138072976310550016
Divisors of 138072976310550016
- Number of divisors d(n): 280
-
Complete list of divisors:
1 2 4 8 16 23 32 46 53 64 92 106 128 184 212 256 368 424 512 529 736 848 1058 1219 1472 1696 2116 2438 2809 2944 3392 4232 4876 5618 5888 6784 8464 9752 11236 11776 12167 13568 16928 19504 22472 24334 27136 28037 33856 39008 44944 48668 56074 64607 67712 78016 89888 97336 112148 129214 135424 148877 156032 179776 194672 224296 258428 270848 297754 312064 359552 389344 448592 516856 595508 624128 644851 719104 778688 897184 1033712 1191016 1289702 1438208 1485961 1557376 1794368 2067424 2382032 2579404 2971922 3114752 3424171 3588736 4134848 4764064 5158808 5943844 6229504 6848342 7177472 7890481 8269696 9528128 10317616 11887688 13696684 14354944 15780962 16539392 19056256 20635232 23775376 27393368 31561924 33078784 34177103 38112512 41270464 47550752 54786736 63123848 68354206 76225024 78755933 82540928 95101504 109573472 126247696 136708412 157511866 165081856 181481063 190203008 219146944 252495392 273416824 315023732 330163712 362962126 380406016 418195493 438293888 504990784 546833648 630047464 725924252 760812032 836390986 876587776 1009981568 1093667296 1260094928 1451848504 1672781972 1753175552 1811386459 2019963136 2187334592 2520189856 2903697008 3345563944 3622772918 4039926272 4174064449 4374669184 5040379712 5807394016 6691127888 7245545836 8348128898 8749338368 9618496339 10080759424 11614788032 13382255776 14491091672 16696257796 17498676736 19236992678 20161518848 22164361129 23229576064 26764511552 28982183344 33392515592 38473985356 40323037696 44328722258 46459152128 53529023104 57964366688 66785031184 76947970712 88657444516 92918304256 96003482327 107058046208 115928733376 133570062368 153895941424 177314889032 192006964654 214116092416 221225415797 231857466752 267140124736 307791882848 354629778064 384013929308 442450831594 463714933504 509780305967 534280249472 615583765696 709259556128 768027858616 884901663188 927429867008 1019560611934 1068560498944 1231167531392 1418519112256 1536055717232 1769803326376 2039121223868 2137120997888 2462335062784 2837038224512 3072111434464 3539606652752 4078242447736 4924670125568 5088184563331 5674076449024 6144222868928 7079213305504 8156484895472 10176369126662 11348152898048 11724947037241 12288445737856 14158426611008 16312969790944 20352738253324 23449894074482 24576891475712 28316853222016 32625939581888 40705476506648 46899788148964 49153782951424 56633706444032 65251879163776 81410953013296 93799576297928 113267412888064 130503758327552 162821906026592 187599152595856 261007516655104 269673781856543 325643812053184 375198305191712 539347563713086 651287624106368 750396610383424 1078695127426172 1302575248212736 1500793220766848 2157390254852344 2605150496425472 3001586441533696 4314780509704688 6003172883067392 8629561019409376 17259122038818752 34518244077637504 69036488155275008 138072976310550016
- Sum of all divisors σ(n): 293961522880468080
- Sum of proper divisors (its aliquot sum) s(n): 155888546569918064
- 138072976310550016 is an abundant number, because the sum of its proper divisors (155888546569918064) is greater than itself. Its abundance is 17815570259368048
Bases of 138072976310550016
- Binary: 1111010101000100010100011111100100001001000111110000000002
- Hexadecimal: 0x1EA88A3F2123E00
- Base-36: 11RIS9NOP2PS
Squares and roots of 138072976310550016
- 138072976310550016 squared (1380729763105500162) is 19064146787253705908376544437600256
- 138072976310550016 cubed (1380729763105500163) is 2632243487737329131606319785001344053403326502404096
-
The
square root of 138072976310550016 is 371581722.2503685205 -
138072976310550016 is a
perfect cube number . Itscube root is 516856 - Being both a perfect square and a perfect cube, 138072976310550016 is also a
perfect sixth number .
Scales and comparisons
How big is 138072976310550016?- 138,072,976,310,550,016 seconds is equal to 4,390,293,558 years, 47 weeks, 5 days, 4 hours, 20 minutes, 16 seconds.
-
To count from 1 to 138,072,976,310,550,016 would take you about thirteen billion, one hundred seventy million, eight hundred eighty thousand, six hundred seventy-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 138072976310550016 cubic inches would be around 43071.3 feet tall.
Recreational maths with 138072976310550016
- 138072976310550016 backwards is 610055013679270831
- 138072976310550016 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138072976310550016's digits is 64
- More coming soon!
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