138438297983040
138,438,297,983,040 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138438297983040 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 896 divisors.
138438297983040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138438297983040:
26 × 3 × 5 × 11 × 17 × 31 × 8191 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 17 × 31 × 8191 × 3037)See below for interesting mathematical facts about the number 138438297983040 from the Numbermatics database.
Names of 138438297983040
- Cardinal: 138438297983040 can be written as One hundred thirty-eight trillion, four hundred thirty-eight billion, two hundred ninety-seven million, nine hundred eighty-three thousand and forty.
Scientific notation
- Scientific notation: 1.3843829798304 × 1014
Factors of 138438297983040
Divisors of 138438297983040
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 31 32 33 34 40 44 48 51 55 60 62 64 66 68 80 85 88 93 96 102 110 120 124 132 136 155 160 165 170 176 186 187 192 204 220 240 248 255 264 272 310 320 330 340 341 352 372 374 408 440 465 480 496 510 527 528 544 561 620 660 680 682 704 744 748 816 880 930 935 960 992 1020 1023 1054 1056 1088 1122 1240 1320 1360 1364 1488 1496 1581 1632 1705 1760 1860 1870 1984 2040 2046 2108 2112 2244 2480 2635 2640 2720 2728 2805 2976 2992 3037 3162 3264 3410 3520 3720 3740 4080 4092 4216 4488 4960 5115 5270 5280 5440 5456 5610 5797 5952 5984 6074 6324 6820 7440 7480 7905 8160 8184 8191 8432 8976 9111 9920 10230 10540 10560 10912 11220 11594 11968 12148 12648 13640 14880 14960 15185 15810 16320 16368 16382 16864 17391 17952 18222 20460 21080 21824 22440 23188 24296 24573 25296 27280 28985 29760 29920 30370 31620 32736 32764 33407 33728 34782 35904 36444 40920 40955 42160 44880 45555 46376 48592 49146 50592 51629 54560 57970 59840 60740 63240 65472 65528 66814 69564 72888 81840 81910 84320 86955 89760 90101 91110 92752 94147 97184 98292 100221 101184 103258 109120 115940 121480 122865 126480 131056 133628 139128 139247 145776 154887 163680 163820 167035 168640 173910 179520 180202 182220 185504 188294 194368 196584 200442 206516 231880 242960 245730 252960 253921 258145 262112 267256 270303 278256 278494 282441 291552 309774 327360 327640 334070 347820 360404 364440 371008 376588 393168 400884 413032 417741 450505 463760 470735 485920 491460 501105 505920 507842 516290 524224 534512 540606 556512 556988 564882 567919 583104 619548 655280 668140 695640 696235 720808 728880 753176 761763 774435 786336 801768 826064 835482 901010 927520 941470 971840 982920 1002210 1015684 1032580 1035617 1069024 1081212 1113024 1113976 1129764 1135838 1239096 1269605 1310560 1336280 1351515 1391280 1392470 1412205 1441616 1457760 1506352 1523526 1531717 1548870 1572672 1600499 1603536 1652128 1670964 1703757 1802020 1855040 1882940 1965840 2004420 2031368 2065160 2071234 2088705 2138048 2162424 2227952 2259528 2271676 2478192 2539210 2621120 2672560 2703030 2782560 2784940 2793131 2824410 2839595 2883232 2915520 3012704 3047052 3063434 3097740 3106851 3200998 3207072 3304256 3341928 3407514 3604040 3765880 3808815 3931680 4008840 4062736 4130320 4142468 4177410 4316657 4324848 4455904 4519056 4543352 4595151 4801497 4956384 5078420 5178085 5345120 5406060 5565120 5569880 5586262 5648820 5679190 5766464 6025408 6094104 6126868 6195480 6213702 6401996 6414144 6683856 6815028 7208080 7531760 7617630 7658585 7863360 8002495 8017680 8125472 8260640 8284936 8354820 8379393 8518785 8633314 8649696 8911808 9038112 9086704 9190302 9602994 9912768 10156840 10356170 10690240 10812120 11139760 11172524 11297640 11358380 12188208 12253736 12390960 12427404 12803992 12949971 13367712 13630056 13965655 14416160 15063520 15235260 15317170 15534255 16004990 16035360 16250944 16521280 16569872 16709640 16758786 17037570 17266628 17299392 17605489 18076224 18173408 18380604 19205988 20313680 20712340 21583285 21624240 22279520 22345048 22595280 22716760 22975755 24007485 24376416 24507472 24781920 24854808 24876067 25607984 25899942 26735424 27260112 27931310 28832320 30127040 30470520 30634340 31068510 32009980 32070720 33139744 33419280 33517572 34075140 34533256 35210978 36346816 36761208 38411976 40627360 41424680 41896965 43166570 43248480 44559040 44690096 45190560 45433520 45951510 47483227 48014970 48752832 49014944 49563840 49709616 49752134 51215968 51799884 52816467 54520224 55862620 60941040 61268680 62137020 64019960 64749855 66279488 66838560 67035144 68150280 69066512 70421956 73522416 74628201 76823952 81254720 82849360 83793930 86333140 86496960 88027445 89380192 90381120 90867040 91903020 94966454 96029940 98029888 99419232 99504268 102431936 103599768 105632934 109040448 111725240 121882080 122537360 124274040 124380335 128039920 129499710 133677120 134070288 136300560 138133024 140843912 142449681 147044832 149256402 153647904 165698720 167587860 172666280 176054890 178760384 181734080 183806040 189932908 192059880 198838464 199008536 207199536 211265868 223450480 237416135 243764160 245074720 248548080 248760670 256079840 258999420 264082335 268140576 272601120 273636737 276266048 281687824 284899362 294089664 298512804 307295808 331397440 335175720 345332560 352109780 367612080 373141005 379865816 384119760 398017072 414399072 422531736 422893139 446900960 474832270 490149440 497096160 497521340 512159680 517998840 528164670 536281152 545202240 547273474 563375648 569798724 597025608 670351440 690665120 704219560 712248405 735224160 746282010 759731632 768239520 771158077 796034144 820910211 828798144 845063472 845786278 893801920 949664540 994192320 995042680 1035997680 1056329340 1094546948 1126751296 1139597448 1194051216 1268679417 1340702880 1368183685 1381330240 1408439120 1424496810 1470448320 1492564020 1519463264 1536479040 1542316154 1592068288 1641820422 1690126944 1691572556 1899329080 1990085360 2071995360 2112658680 2114465695 2189093896 2279194896 2313474231 2388102432 2537358834 2681405760 2736367370 2816878240 2848993620 2985128040 3038926528 3084632308 3283640844 3380253888 3383145112 3798658160 3855790385 3980170720 4104551055 4143990720 4225317360 4228931390 4378187792 4558389792 4626948462 4651824529 4776204864 5074717668 5472734740 5633756480 5697987240 5970256080 6169264616 6343397085 6567281688 6766290224 7597316320 7711580770 7960341440 8209102110 8450634720 8457862780 8482738847 8756375584 9116779584 9253896924 9303649058 10149435336 10945469480 11395974480 11567371155 11940512160 12338529232 12686794170 13109687309 13134563376 13532580448 13955473587 15194632640 15423161540 16418204220 16901269440 16915725560 16965477694 17512751168 18507793848 18607298116 20298870672 21890938960 22791948960 23134742310 23259122645 23881024320 24677058464 25373588340 25448216541 26219374618 26269126752 27065160896 27910947174 30846323080 32836408440 33831451120 33930955388 37015587696 37214596232 39329061927 40597741344 42413694235 43781877920 45583897920 46269484620 46518245290 49354116928 50747176680 50896433082 52438749236 52538253504 55821894348 61692646160 65548436545 65672816880 67662902240 67861910776 69777367935 74031175392 74429192464 78658123854 81195482688 84827388470 87563755840 92538969240 93036490580 101494353360 101792866164 104877498472 111643788696 123385292320 127241082705 131096873090 131345633760 135325804480 135723821552 139554735870 144206560399 148062350784 148858384928 157316247708 169654776940 185077938480 186072981160 196645309635 202988706720 203585732328 209754996944 223287577392 246770584640 254482165410 262193746180 262691267520 271447643104 279109471740 288413120798 297716769856 314632495416 339309553880 370155876960 372145962320 393290619270 405977413440 407171464656 419509993888 432619681197 446575154784 508964330820 524387492360 542895286208 558218943480 576826241596 629264990832 678619107760 721032801995 740311753920 744291924640 786581238540 814342929312 839019987776 865239362394 893150309568 1017928661640 1048774984720 1116437886960 1153652483192 1258529981664 1357238215520 1442065603990 1488583849280 1573162477080 1628685858624 1730478724788 2035857323280 2097549969440 2163098405985 2232875773920 2307304966384 2517059963328 2714476431040 2884131207980 3146324954160 3460957449576 4071714646560 4195099938880 4326196811970 4465751547840 4614609932768 5768262415960 6292649908320 6921914899152 8143429293120 8652393623940 9229219865536 11536524831920 12585299816640 13843829798304 17304787247880 23073049663840 27687659596608 34609574495760 46146099327680 69219148991520 138438297983040
- Sum of all divisors σ(n): 524319977373696
- Sum of proper divisors (its aliquot sum) s(n): 385881679390656
- 138438297983040 is an abundant number, because the sum of its proper divisors (385881679390656) is greater than itself. Its abundance is 247443381407616
Bases of 138438297983040
- Binary: 111110111101000101011011001001100011000010000002
- Hexadecimal: 0x7DE8AD931840
- Base-36: 1D2LOC8XMO
Squares and roots of 138438297983040
- 138438297983040 squared (1384382979830402) is 19165162348440976932127641600
- 138438297983040 cubed (1384382979830403) is 2653192456086810646511453253089111998464000
-
The
square root of 138438297983040 is 11765980.5364040953 -
The
cube root of 138438297983040 is 51731.1441314473
Scales and comparisons
How big is 138438297983040?- 138,438,297,983,040 seconds is equal to 4,401,909 years, 34 weeks, 1 day, 13 hours, 4 minutes.
-
To count from 1 to 138,438,297,983,040 would take you about eleven million, four thousand, seven hundred seventy-four 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 138438297983040 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138438297983040
- 138438297983040 backwards is 040389792834831
- The number of decimal digits it has is: 15
- The sum of 138438297983040's digits is 69
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138438297983040 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 138438297983040 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138438297983040/
Chicago style:
Numbermatics. 2024. "Number 138438297983040 - Facts about the integer". https://numbermatics.com/n/138438297983040/
The information we have on file for 138438297983040 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 138438297983040, math, Factors of 138438297983040, curriculum, school, college, exams, university, Prime factorization of 138438297983040, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred thirty-eight billion, two hundred ninety-seven million, nine hundred eighty-three thousand and forty.