138213395712
138,213,395,712 is an even composite number composed of six prime numbers multiplied together.
138213395712 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138213395712:
28 × 33 × 7 × 192 × 41 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 19 × 19 × 41 × 193)See below for interesting mathematical facts about the number 138213395712 from the Numbermatics database.
Names of 138213395712
- Cardinal: 138213395712 can be written as One hundred thirty-eight billion, two hundred thirteen million, three hundred ninety-five thousand, seven hundred twelve.
Scientific notation
- Scientific notation: 1.38213395712 × 1011
Factors of 138213395712
Divisors of 138213395712
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 41 42 48 54 56 57 63 64 72 76 82 84 96 108 112 114 123 126 128 133 144 152 164 168 171 189 192 193 216 224 228 246 252 256 266 287 288 304 328 336 342 361 369 378 384 386 399 432 448 456 492 504 513 532 574 576 579 608 656 672 684 722 738 756 768 772 779 798 861 864 896 912 984 1008 1026 1064 1083 1107 1148 1152 1158 1197 1216 1312 1344 1351 1368 1444 1476 1512 1544 1558 1596 1722 1728 1737 1792 1824 1968 2016 2052 2128 2166 2214 2296 2304 2316 2337 2394 2432 2527 2583 2624 2688 2702 2736 2888 2952 3024 3088 3116 3192 3249 3444 3456 3474 3591 3648 3667 3936 4032 4053 4104 4256 4332 4428 4592 4632 4674 4788 4864 5054 5166 5211 5248 5376 5404 5453 5472 5776 5904 6048 6176 6232 6384 6498 6888 6912 6948 7011 7182 7296 7334 7581 7749 7872 7913 8064 8106 8208 8512 8664 8856 9184 9264 9348 9576 9747 10108 10332 10422 10496 10808 10906 10944 11001 11552 11808 12096 12159 12352 12464 12768 12996 13776 13896 14022 14364 14592 14668 14801 15162 15498 15744 15826 16128 16212 16359 16416 17024 17328 17712 18368 18528 18696 19152 19494 20216 20664 20844 21033 21616 21812 21888 22002 22743 23104 23616 23739 24192 24318 24704 24928 25536 25669 25992 27552 27792 28044 28728 29336 29602 30324 30996 31488 31652 32424 32718 32832 33003 34048 34656 35424 36477 36736 37056 37392 38304 38988 40432 41328 41688 42066 43232 43624 43776 44004 44403 45486 46208 47232 47478 48384 48636 49077 49408 49856 51072 51338 51984 55104 55391 55584 56088 57456 58672 59204 60648 61992 63304 64848 65436 65664 66006 68229 69312 69673 70848 71217 72954 73472 74112 74784 76608 77007 77976 80864 82656 83376 84132 86464 87248 88008 88806 90972 92416 94464 94956 97272 98154 99009 99712 102144 102676 103607 103968 110208 110782 111168 112176 114912 117344 118408 121296 123984 126608 129696 130872 131328 132012 133209 136458 138624 139346 141696 142434 145908 147231 148224 149568 150347 153216 154014 155952 161728 165312 166173 166752 168264 172928 174496 176016 177612 181944 189912 194544 196308 198018 199424 205352 207214 207936 209019 213651 220416 221564 222336 224352 229824 231021 234688 236816 242592 247968 253216 259392 261744 264024 266418 272916 277248 278692 283392 284868 291816 294462 299136 300694 306432 308028 310821 311904 323456 330624 332346 333504 336528 345856 348992 352032 355224 363888 379824 389088 392616 396036 399627 410704 414428 415872 418038 427302 443128 444672 448704 451041 459648 462042 469376 473632 485184 487711 495936 498519 506432 518784 523488 528048 532836 545832 557384 569736 583632 588924 598272 601388 616056 621642 623808 627057 646912 661248 664692 667008 673056 693063 697984 704064 710448 727776 759648 778176 785232 792072 799254 821408 828856 831744 836076 854604 886256 897408 902082 919296 924084 932463 938752 947264 970368 975422 991872 997038 1012864 1037568 1046976 1052429 1056096 1065672 1091664 1114768 1139472 1167264 1177848 1202776 1232112 1243284 1247616 1254114 1329384 1334016 1346112 1353123 1386126 1395968 1408128 1420896 1455552 1463133 1495557 1519296 1556352 1570464 1584144 1598508 1642816 1657712 1672152 1709208 1772512 1794816 1804164 1848168 1864926 1881171 1894528 1940736 1950844 1983744 1994076 2025728 2093952 2104858 2112192 2131344 2183328 2229536 2278944 2334528 2355696 2405552 2464224 2486568 2495232 2508228 2658768 2692224 2706246 2772252 2797389 2816256 2841792 2856593 2911104 2926266 2991114 3038592 3112704 3140928 3157287 3168288 3197016 3285632 3315424 3344304 3418416 3545024 3608328 3696336 3729852 3762342 3789056 3901688 3988152 4059369 4187904 4209716 4224384 4262688 4366656 4389399 4459072 4557888 4669056 4711392 4811104 4928448 4973136 5016456 5317536 5384448 5412492 5544504 5594778 5683584 5713186 5822208 5852532 5982228 6077184 6281856 6314574 6336576 6394032 6571264 6630848 6688608 6836832 7090048 7216656 7392672 7459704 7524684 7803376 7976304 8118738 8419432 8448768 8525376 8569779 8733312 8778798 8918144 9115776 9338112 9422784 9471861 9622208 9856896 9946272 10032912 10635072 10824984 11089008 11189556 11367168 11426372 11705064 11964456 12563712 12629148 12673152 12788064 13168197 13261696 13377216 13673664 14180096 14433312 14785344 14919408 15049368 15606752 15952608 16237476 16838864 17050752 17139558 17466624 17557596 17836288 18231552 18845568 18943722 19244416 19713792 19892544 19996151 20065824 21270144 21649968 22178016 22379112 22852744 23410128 23928912 25258296 25346304 25576128 25709337 26336394 26523392 26754432 27347328 28415583 28866624 29570688 29838816 30098736 31213504 31905216 32474952 33677728 34101504 34279116 35115192 37691136 37887444 38488832 39785088 39992302 40131648 42540288 43299936 44356032 44758224 45705488 46820256 47857824 50516592 51152256 51418674 52672788 53508864 54694656 56831166 57733248 59141376 59677632 59988453 60197472 62427008 63810432 64949904 67355456 68558232 70230384 75774888 77128011 79570176 79984604 80263296 86599872 88712064 89516448 91410976 93640512 95715648 101033184 102304512 102837348 105345576 113662332 115466496 119355264 119976906 120394944 124854016 127620864 129899808 134710912 137116464 140460768 151549776 154256022 159969208 160526592 173199744 177424128 179032896 179965359 182821952 187281024 191431296 202066368 205674696 210691152 227324664 238710528 239953812 240789888 259799616 269421824 274232928 280921536 303099552 308512044 319938416 346399488 358065792 359930718 365643904 374562048 382862592 404132736 411349392 421382304 454649328 479907624 481579776 519599232 539896077 548465856 561843072 606199104 617024088 639876832 716131584 719861436 731287808 808265472 822698784 842764608 909298656 959815248 1039198464 1079792154 1096931712 1123686144 1212398208 1234048176 1279753664 1439722872 1645397568 1685529216 1818597312 1919630496 2159584308 2193863424 2424796416 2468096352 2559507328 2879445744 3290795136 3371058432 3637194624 3839260992 4319168616 4936192704 5119014656 5758891488 6581590272 7274389248 7678521984 8638337232 9872385408 11517782976 15357043968 17276674464 19744770816 23035565952 34553348928 46071131904 69106697856 138213395712
- Sum of all divisors σ(n): 507629525760
- Sum of proper divisors (its aliquot sum) s(n): 369416130048
- 138213395712 is an abundant number, because the sum of its proper divisors (369416130048) is greater than itself. Its abundance is 231202734336
Bases of 138213395712
- Binary: 100000001011100010100100001101000000002
- Hexadecimal: 0x202E290D00
- Base-36: 1RHSOQO0
Squares and roots of 138213395712
- 138213395712 squared (1382133957122) is 19102942754241899986944
- 138213395712 cubed (1382133957123) is 2640282586155718889466218705584128
-
The
square root of 138213395712 is 371770.6224434631 -
The
cube root of 138213395712 is 5170.3115380311
Scales and comparisons
How big is 138213395712?- 138,213,395,712 seconds is equal to 4,394 years, 39 weeks, 3 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 138,213,395,712 would take you about eight thousand, seven hundred eighty-nine 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 138213395712 cubic inches would be around 430.9 feet tall.
Recreational maths with 138213395712
- 138213395712 backwards is 217593312831
- The number of decimal digits it has is: 12
- The sum of 138213395712's digits is 45
- 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 138213395712 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 138213395712 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138213395712/
Chicago style:
Numbermatics. 2024. "Number 138213395712 - Facts about the integer". https://numbermatics.com/n/138213395712/
The information we have on file for 138213395712 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 138213395712, math, Factors of 138213395712, curriculum, school, college, exams, university, Prime factorization of 138213395712, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, two hundred thirteen million, three hundred ninety-five thousand, seven hundred twelve.