138035771398224
138,035,771,398,224 is an even composite number composed of five prime numbers multiplied together.
138035771398224 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 138035771398224:
24 × 39 × 7 × 412 × 1932
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 41 × 41 × 193 × 193)See below for interesting mathematical facts about the number 138035771398224 from the Numbermatics database.
Names of 138035771398224
- Cardinal: 138035771398224 can be written as One hundred thirty-eight trillion, thirty-five billion, seven hundred seventy-one million, three hundred ninety-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.38035771398224 × 1014
Factors of 138035771398224
Divisors of 138035771398224
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 81 82 84 108 112 123 126 144 162 164 168 189 193 216 243 246 252 287 324 328 336 369 378 386 432 486 492 504 567 574 579 648 656 729 738 756 772 861 972 984 1008 1107 1134 1148 1158 1296 1351 1458 1476 1512 1544 1681 1701 1722 1737 1944 1968 2187 2214 2268 2296 2316 2583 2702 2916 2952 3024 3088 3321 3362 3402 3444 3474 3888 4053 4374 4428 4536 4592 4632 5043 5103 5166 5211 5404 5832 5904 6561 6642 6724 6804 6888 6948 7749 7913 8106 8748 8856 9072 9264 9963 10086 10206 10332 10422 10808 11664 11767 12159 13122 13284 13448 13608 13776 13896 15129 15309 15498 15633 15826 16212 17496 17712 19683 19926 20172 20412 20664 20844 21616 23247 23534 23739 24318 26244 26568 26896 27216 27792 29889 30258 30618 30996 31266 31652 32424 34992 35301 36477 37249 39366 39852 40344 40824 41328 41688 45387 45927 46494 46899 47068 47478 48636 52488 53136 55391 59778 60516 61236 61992 62532 63304 64848 69741 70602 71217 72954 74498 78732 79704 80688 81648 83376 89667 90774 91854 92988 93798 94136 94956 97272 104976 105903 109431 110782 111747 119556 121032 122472 123984 125064 126608 136161 137781 139482 140697 141204 142434 145908 148996 157464 159408 166173 179334 181548 183708 185976 187596 188272 189912 194544 209223 211806 213651 218862 221564 223494 239112 242064 244944 250128 260743 269001 272322 275562 278964 281394 282408 284868 291816 297992 314928 317709 324433 328293 332346 335241 358668 363096 367416 371952 375192 379824 408483 418446 422091 423612 427302 437724 443128 446988 478224 498519 521486 538002 544644 551124 557928 562788 564816 569736 583632 595984 627669 635418 640953 648866 656586 664692 670482 717336 726192 734832 750384 782229 807003 816966 836892 844182 847224 854604 875448 886256 893976 953127 973299 984879 997038 1005723 1042972 1076004 1089288 1102248 1115856 1125576 1139472 1225449 1255338 1266273 1270836 1281906 1297732 1313172 1329384 1340964 1434672 1495557 1527209 1564458 1614006 1633932 1673784 1688364 1694448 1709208 1750896 1787952 1883007 1906254 1922859 1946598 1969758 1994076 2011446 2085944 2152008 2178576 2204496 2251152 2271031 2346687 2450898 2510676 2532546 2541672 2563812 2595464 2626344 2658768 2681928 2859381 2919897 2954637 2991114 3017169 3054418 3128916 3228012 3267864 3347568 3376728 3418416 3676347 3766014 3798819 3812508 3845718 3893196 3939516 3988152 4022892 4171888 4304016 4486671 4542062 4581627 4693374 4901796 5021352 5065092 5083344 5127624 5190928 5252688 5363856 5649021 5718762 5768577 5839794 5909274 5982228 6034338 6108836 6257832 6456024 6535728 6753456 6813093 7040061 7352694 7532028 7597638 7625016 7691436 7786392 7879032 7976304 8045784 8578143 8759691 8863911 8973342 9051507 9084124 9163254 9386748 9803592 10042704 10130184 10255248 10690463 11029041 11298042 11437524 11537154 11679588 11818548 11964456 12068676 12217672 12515664 12912048 13460013 13626186 13744881 14080122 14705388 15064056 15195276 15250032 15382872 15572784 15758064 16091568 17156286 17305731 17519382 17727822 17946684 18103014 18168248 18326508 18773496 19607184 20260368 20439279 21120183 21380926 22058082 22596084 22875048 23074308 23359176 23637096 23928912 24137352 24435344 25734429 26279073 26591733 26920026 27154521 27252372 27489762 28160244 29410776 30128112 30390552 30765744 32071389 33087123 34312572 34611462 35038764 35455644 35893368 36206028 36336496 36653016 37546992 40380039 40878558 41234643 42240366 42761852 44116164 45192168 45750096 46148616 46718352 47274192 48274704 51468858 51917193 52558146 53183466 53840052 54309042 54504744 54979524 56320488 58821552 60781104 61317837 62615569 63360549 64142778 66174246 68625144 69222924 70077528 70911288 71786736 72412056 73306032 77203287 78837219 80760078 81463563 81757116 82469286 84480732 85523704 88232328 90384336 92297232 96214167 102937716 103834386 105116292 106366932 107680104 108618084 109009488 109959048 112640976 121140117 122635674 123703929 125231138 126721098 128285556 132348492 137250288 138445848 140155056 141822576 144824112 154406574 155751579 157674438 161520156 162927126 163514232 164938572 168961464 171047408 176464656 183953511 187846707 190081647 192428334 205875432 207668772 210232584 212733864 215360208 217236168 219918096 231609861 236511657 242280234 244390689 245271348 247407858 250462276 253442196 256571112 264696984 276891696 288642501 308813148 311503158 315348876 323040312 325854252 327028464 329877144 337922928 363420351 367907022 371111787 375693414 380163294 384856668 411750864 415337544 420465168 425467728 434472336 438308983 463219722 473023314 484560468 488781378 490542696 494815716 500924552 506884392 513142224 529393968 551860533 563540121 570244941 577285002 617626296 623006316 630697752 646080624 651708504 659754288 709534971 726840702 733172067 735814044 742223574 751386828 760326588 769713336 830675088 865927503 876617966 926439444 946046628 969120936 977562756 981085392 989631432 1001849104 1013768784 1090261053 1103721066 1113335361 1127080242 1140489882 1154570004 1235252592 1246012632 1261395504 1303417008 1314926949 1419069942 1453681404 1466344134 1471628088 1484447148 1502773656 1520653176 1539426672 1655581599 1690620363 1710734823 1731855006 1753235932 1852878888 1892093256 1938241872 1955125512 1979262864 2128604913 2180522106 2207442132 2226670722 2254160484 2280979764 2309140008 2492025264 2597782509 2629853898 2838139884 2907362808 2932688268 2943256176 2968894296 3005547312 3041306352 3311163198 3340006083 3381240726 3421469646 3463710012 3506471864 3705757776 3784186512 3910251024 3944780847 4257209826 4361044212 4414884264 4453341444 4508320968 4561959528 4618280016 4966744797 5071861089 5132204469 5195565018 5259707796 5676279768 5814725616 5865376536 5937788592 6385814739 6622326396 6680012166 6762481452 6842939292 6927420024 7012943728 7793347527 7889561694 8514419652 8722088424 8829768528 8906682888 9016641936 9123919056 9933489594 10020018249 10143722178 10264408938 10391130036 10519415592 11352559536 11730753072 11834342541 12771629478 13244652792 13360024332 13524962904 13685878584 13854840048 14900234391 15215583267 15586695054 15779123388 17028839304 17444176848 17813365776 19866979188 20040036498 20287444356 20528817876 20782260072 21038831184 23380042581 23668685082 25543258956 26489305584 26720048664 27049925808 27371757168 29800468782 30060054747 30431166534 31173390108 31558246776 34057678608 35503027623 39733958376 40080072996 40574888712 41057635752 41564520144 44700703173 45646749801 46760085162 47337370164 51086517912 53440097328 59600937564 60120109494 60862333068 62346780216 63116493552 70140127743 71006055246 79467916752 80160145992 81149777424 82115271504 89401406346 91293499602 93520170324 94674740328 102173035824 106509082869 119201875128 120240218988 121724666136 124693560432 136940249403 140280255486 142012110492 160320291984 178802812692 182586999204 187040340648 189349480656 210420383229 213018165738 238403750256 240480437976 243449332272 273880498806 280560510972 284024220984 319527248607 357605625384 365173998408 374080681296 410820748209 420840766458 426036331476 480960875952 547760997612 561121021944 568048441968 639054497214 715211250768 730347996816 821641496418 841681532916 852072662952 958581745821 1095521995224 1122242043888 1232462244627 1278108994428 1643282992836 1683363065832 1704145325904 1917163491642 2191043990448 2464924489254 2556217988856 2875745237463 3286565985672 3366726131664 3834326983284 4929848978508 5112435977712 5751490474926 6573131971344 7668653966568 8627235712389 9859697957016 11502980949852 15337307933136 17254471424778 19719395914032 23005961899704 34508942849556 46011923799408 69017885699112 138035771398224
- Sum of all divisors σ(n): 472370527372128
- Sum of proper divisors (its aliquot sum) s(n): 334334755973904
- 138035771398224 is an abundant number, because the sum of its proper divisors (334334755973904) is greater than itself. Its abundance is 196298984575680
Bases of 138035771398224
- Binary: 111110110001010111101010001111011011000010100002
- Hexadecimal: 0x7D8AF51ED850
- Base-36: 1CXGRAB900
Squares and roots of 138035771398224
- 138035771398224 squared (1380357713982242) is 19053874185502754899990354176
- 138035771398224 cubed (1380357713982243) is 2630116221320579788891845498540988497383424
-
The
square root of 138035771398224 is 11748862.5576361221 -
The
cube root of 138035771398224 is 51680.9572113029
Scales and comparisons
How big is 138035771398224?- 138,035,771,398,224 seconds is equal to 4,389,110 years, 29 weeks, 50 minutes, 24 seconds.
-
To count from 1 to 138,035,771,398,224 would take you about ten million, nine hundred seventy-two thousand, seven 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 138035771398224 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138035771398224
- 138035771398224 backwards is 422893177530831
- 138035771398224 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138035771398224's digits is 63
- 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 138035771398224 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 138035771398224 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138035771398224/
Chicago style:
Numbermatics. 2024. "Number 138035771398224 - Facts about the integer". https://numbermatics.com/n/138035771398224/
The information we have on file for 138035771398224 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 138035771398224, math, Factors of 138035771398224, curriculum, school, college, exams, university, Prime factorization of 138035771398224, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, thirty-five billion, seven hundred seventy-one million, three hundred ninety-eight thousand, two hundred twenty-four.