138381836457241377
138,381,836,457,241,377 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138381836457241377 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
138381836457241377 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138381836457241377:
38 × 72 × 113 × 136 × 67
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 13 × 67)See below for interesting mathematical facts about the number 138381836457241377 from the Numbermatics database.
Names of 138381836457241377
- Cardinal: 138381836457241377 can be written as One hundred thirty-eight quadrillion, three hundred eighty-one trillion, eight hundred thirty-six billion, four hundred fifty-seven million, two hundred forty-one thousand, three hundred seventy-seven.
Scientific notation
- Scientific notation: 1.38381836457241377 × 1017
Factors of 138381836457241377
Divisors of 138381836457241377
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 3 7 9 11 13 21 27 33 39 49 63 67 77 81 91 99 117 121 143 147 169 189 201 231 243 273 297 351 363 429 441 469 507 539 567 603 637 693 729 737 819 847 871 891 1001 1053 1089 1183 1287 1323 1331 1407 1521 1573 1617 1701 1809 1859 1911 2079 2187 2197 2211 2457 2541 2613 2673 3003 3159 3267 3283 3549 3861 3969 3993 4221 4563 4719 4851 5103 5159 5427 5577 5733 5929 6097 6237 6561 6591 6633 7007 7371 7623 7839 8019 8107 8281 9009 9317 9477 9581 9801 9849 10647 11011 11323 11583 11907 11979 12663 13013 13689 14157 14553 15309 15379 15477 16281 16731 17199 17303 17787 18291 18711 19773 19899 20449 21021 22113 22869 23517 24057 24167 24321 24843 27027 27951 28431 28561 28743 29403 29547 31941 33033 33969 34749 35721 35937 36113 37989 39039 41067 42471 42679 43659 45927 46137 46431 48843 50193 51597 51909 53361 54873 56133 56749 59319 59697 61347 63063 65219 66339 67067 68607 70551 72171 72501 72963 74529 77077 79261 81081 83853 85293 85683 86229 88209 88641 89177 91091 95823 99099 101907 104247 105391 107163 107653 107811 108339 113967 117117 121121 123201 124553 127413 128037 130977 138411 139293 143143 146529 147199 150579 154791 155727 160083 164619 168399 169169 170247 177957 179091 184041 189189 195657 199017 199927 201201 205821 211653 217503 218889 223587 224939 231231 237783 243243 251559 257049 258687 264627 265837 265923 267531 273273 287469 297297 305721 312741 314171 316173 321489 322959 323433 325017 341901 351351 363363 369603 371293 373659 382239 384111 392931 397243 415233 417879 429429 439587 441597 451737 464373 467181 469469 480249 493857 505197 507507 510741 533871 537273 552123 554827 567567 586971 597051 599781 603603 617463 624239 634959 652509 656667 670761 674817 693693 713349 729729 737737 754677 771147 776061 793881 797511 797769 802593 819819 847847 862407 871871 891891 917163 938223 942513 948519 968877 970299 975051 1002001 1025703 1030393 1054053 1090089 1108809 1113879 1120977 1146717 1152333 1159301 1178793 1184183 1191729 1245699 1253637 1288287 1324791 1355211 1370083 1393119 1399489 1401543 1408407 1440747 1481571 1522521 1532223 1574573 1601613 1611819 1619189 1656369 1664481 1702701 1760913 1799343 1810809 1852389 1860859 1872717 1904877 1913587 1957527 1970001 2012283 2024451 2081079 2140047 2189187 2199197 2213211 2264031 2313441 2328183 2392533 2393307 2407779 2459457 2543541 2587221 2599051 2615613 2675673 2751489 2827539 2845557 2906631 2910897 2924207 2925153 3006003 3077109 3091179 3162159 3270267 3341637 3362931 3440151 3455881 3456999 3477903 3536379 3552549 3575187 3737097 3760911 3864861 3974373 4065633 4084223 4110249 4179357 4198467 4204629 4225221 4322241 4369673 4444713 4567563 4596669 4723719 4804839 4826809 4835457 4857567 4969107 4993443 5108103 5164159 5282739 5398029 5432427 5557167 5582577 5618151 5714631 5740761 5872581 5910003 6036849 6073353 6103097 6243237 6420141 6567561 6597591 6639633 6792093 6940323 6984549 7177599 7179921 7212751 7223337 7378371 7630623 7761663 7797153 7846839 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199485703989 205065723681 206305728057 210733654131 212076517653 217938223503 221680856943 224113568679 229259689659 230720607117 231775571027 235755831987 243815860431 249414387651 250635884499 257563355049 259204632687 270943269597 272669808411 273916583941 280206287361 288146016873 294762458133 296206045317 297997162749 306332747721 313366794741 314799656171 322246137213 331152885063 333263099169 348355632339 352178465067 360265226607 362029610943 370342575603 372702519189 374406691659 380836343979 393856389927 404742415077 425767995081 427853176569 428481127503 430440346193 437677589349 440466613587 442480635597 452640925737 465466642641 481380032133 506386787049 517255332867 520383105099 520551452421 522931660251 534939275871 538348083273 550096941303 568903674339 581966904519 598457111967 615197171043 618917184171 632200962393 636229552959 653814670509 672340706037 687779068977 692161821351 695326713081 707267495961 731447581293 751907653497 772690065147 777613898061 812829808791 818009425233 821749751823 840618862083 864438050619 888618135951 893991488247 918998243163 940100384223 944398968513 966738411639 993458655189 999789297507 1056535395201 1080795679821 1086088832829 1111027726809 1123220074977 1142509031937 1181569169781 1214227245231 1277303985243 1283559529707 1285443382509 1291321038579 1313032768047 1327441906791 1357922777211 1396399927923 1444140096399 1519160361147 1551765998601 1561149315297 1568794980753 1604817827613 1615044249819 1622428997189 1650290823909 1706711023017 1745900713557 1795371335901 1856751552513 1896602887179 1908688658877 1917416087587 1961444011527 2017022118111 2063337206931 2085980139243 2121802487883 2194342743879 2255722960491 2318070195441 2332841694183 2438489426373 2465249255469 2521856586249 2593314151857 2665854407853 2681974464741 2756994729489 2833196905539 2980375965567 2999367892521 3013082423351 3169606185603 3242387039463 3258266498487 3369660224931 3544707509343 3642681735693 3831911955729 3850678589121 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1708417734040017 1797166707236901 2065400544137931 2196537086622879 2824119111372273 3548252216852343 4193388983552769 5125253202120051 6589611259868637 10644756650557029 12580166950658307 15375759606360153 19768833779605911 46127278819080459 138381836457241377
- Sum of all divisors σ(n): 292002311994505632
- Sum of proper divisors (its aliquot sum) s(n): 153620475537264255
- 138381836457241377 is an abundant number, because the sum of its proper divisors (153620475537264255) is greater than itself. Its abundance is 15238639080022878
Bases of 138381836457241377
- Binary: 1111010111010000110001100000011010110011001101011001000012
- Hexadecimal: 0x1EBA18C0D666B21
- Base-36: 11UK9M1TI529
Squares and roots of 138381836457241377
- 138381836457241377 squared (1383818364572413772) is 19149532661278698697926020840856129
- 138381836457241377 cubed (1383818364572413773) is 2649947496965671116459358929539735756276598282849633
-
The
square root of 138381836457241377 is 371997092.0010549989 -
The
cube root of 138381836457241377 is 517241.1039260685
Scales and comparisons
How big is 138381836457241377?- 138,381,836,457,241,377 seconds is equal to 4,400,114,356 years, 11 weeks, 1 day, 12 hours, 22 minutes, 57 seconds.
-
To count from 1 to 138,381,836,457,241,377 would take you about thirteen billion, two hundred million, three hundred forty-three thousand and sixty-eight 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 138381836457241377 cubic inches would be around 43103.4 feet tall.
Recreational maths with 138381836457241377
- 138381836457241377 backwards is 773142754638183831
- 138381836457241377 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138381836457241377's digits is 81
- More coming soon!
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"Number 138381836457241377 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
APA style:
Numbermatics. (2024). Number 138381836457241377 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/138381836457241377/
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Numbermatics. 2024. "Number 138381836457241377 - Facts about the integer". https://numbermatics.com/n/138381836457241377/
The information we have on file for 138381836457241377 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 138381836457241377, math, Factors of 138381836457241377, curriculum, school, college, exams, university, Prime factorization of 138381836457241377, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred eighty-one trillion, eight hundred thirty-six billion, four hundred fifty-seven million, two hundred forty-one thousand, three hundred seventy-seven.