138073227792182046
138,073,227,792,182,046 is an even composite number composed of five prime numbers multiplied together.
What does the number 138073227792182046 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
138073227792182046 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138073227792182046:
2 × 314 × 73 × 132 × 4992
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 13 × 499 × 499)See below for interesting mathematical facts about the number 138073227792182046 from the Numbermatics database.
Names of 138073227792182046
- Cardinal: 138073227792182046 can be written as One hundred thirty-eight quadrillion, seventy-three trillion, two hundred twenty-seven billion, seven hundred ninety-two million, one hundred eighty-two thousand and forty-six.
Scientific notation
- Scientific notation: 1.38073227792182046 × 1017
Factors of 138073227792182046
Divisors of 138073227792182046
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 169 182 189 234 243 273 294 338 343 351 378 441 486 499 507 546 567 637 686 702 729 819 882 998 1014 1029 1053 1134 1183 1274 1323 1458 1497 1521 1638 1701 1911 2058 2106 2187 2366 2457 2646 2994 3042 3087 3159 3402 3493 3549 3822 3969 4374 4459 4491 4563 4914 5103 5733 6174 6318 6487 6561 6986 7098 7371 7938 8281 8918 8982 9126 9261 9477 10206 10479 10647 11466 11907 12974 13122 13377 13473 13689 14742 15309 16562 17199 18522 18954 19461 19683 20958 21294 22113 23814 24451 24843 26754 26946 27378 27783 28431 30618 31437 31941 34398 35721 38922 39366 40131 40419 41067 44226 45409 45927 48902 49686 51597 55566 56862 57967 58383 59049 62874 63882 66339 71442 73353 74529 80262 80838 82134 83349 84331 85293 90818 91854 94311 95823 103194 107163 115934 116766 118098 120393 121257 123201 132678 136227 137781 146706 149058 154791 166698 168662 170586 171157 173901 175149 177147 188622 191646 199017 214326 220059 223587 240786 242514 246402 249001 250047 252993 255879 272454 275562 282933 287469 309582 317863 321489 342314 347802 350298 354294 361179 363771 369603 398034 408681 413343 440118 447174 464373 498002 500094 505986 511758 513471 521703 525447 531441 565866 574938 590317 597051 635726 642978 660177 670761 722358 727542 739206 747003 750141 758979 767637 817362 826686 848799 862407 928746 953589 964467 1026942 1043406 1050894 1062882 1083537 1091313 1108809 1180634 1194102 1226043 1240029 1320354 1341522 1393119 1494006 1500282 1517958 1535274 1540413 1565109 1576341 1594323 1697598 1724814 1743007 1770951 1791153 1907178 1928934 1980531 2012283 2167074 2182626 2217618 2225041 2241009 2250423 2276937 2302911 2452086 2480058 2546397 2587221 2786238 2860767 2893401 3080826 3130218 3152682 3188646 3237013 3250611 3273939 3326427 3486014 3541902 3582306 3678129 3720087 3961062 4024566 4132219 4179357 4450082 4482018 4500846 4553874 4605822 4621239 4695327 4729023 4782969 5092794 5174442 5229021 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552189099618 554508728046 560357577423 569341266039 573427141911 617536922058 627437313594 644220616221 693776048238 720459742401 732010199193 779427412218 788318676054 793976042646 806705117478 809405389611 818638625133 828283649427 891997776306 926305383087 941155970391 1002120958566 1013552583498 1040664072357 1120715154846 1138682532078 1146854283822 1169141118327 1182478014081 1190964063969 1288441232442 1337996664459 1440919484802 1464020398386 1503181437849 1520328875247 1618810779222 1637277250266 1656567298854 1681072732269 1708023798117 1720281425733 1852610766174 1882311940782 1932661848663 2081328144714 2161379227203 2196030597579 2338282236654 2364956028162 2381928127938 2428216168833 2484850948281 2675993328918 2778916149261 2823467911173 3006362875698 3040657750494 3121992217071 3362145464538 3416047596234 3440562851466 3507423354981 3547434042243 3865323697326 4013989993377 4322758454406 4392061195158 4509544313547 4856432337666 4969701896562 5043218196807 5124071394351 5160844277199 5557832298522 5646935822346 5797985545989 6243984434142 6484137681609 6588091792737 7014846709962 7094868084486 7284648506499 7454552844843 8027979986754 8336748447783 9019088627094 9365976651213 10086436393614 10248142788702 10321688554398 10522270064943 10642302126729 11595971091978 12041969980131 12968275363218 13176183585474 13528632940641 14569297012998 14909105689686 15129654590421 15372214183053 15482532831597 16673496895566 17393956637967 18731953302426 19452413044827 19764275378211 21044540129886 21284604253458 21853945519497 22363658534529 24083939960262 27057265881282 28097929953639 30259309180842 30744428366106 30965065663194 31566810194829 34787913275934 36125909940393 38904826089654 39528550756422 40585898821923 43707891038994 44727317069058 45388963771263 46116642549159 52181869913901 56195859907278 58357239134481 63133620389658 65561836558491 67090975603587 72251819880786 81171797643846 84293789860917 90777927542526 92233285098318 94700430584487 104363739827802 108377729821179 116714478268962 121757696465769 131123673116982 134181951207174 136166891313789 138349927647477 156545609741703 168587579721834 189400861168974 196685509675473 201272926810761 216755459642358 243515392931538 252881369582751 272333782627578 276699855294954 284101291753461 313091219483406 365273089397307 393371019350946 402545853621522 408500673941367 469636829225109 505762739165502 568202583506922 590056529026419 730546178794614 758644108748253 817001347882734 852303875260383 939273658450218 1095819268191921 1180113058052838 1408910487675327 1517288217496506 1704607750520766 1770169587079257 2191638536383842 2556911625781149 2817820975350654 3287457804575763 3540339174158514 5113823251562298 5310508761237771 6574915609151526 7670734877343447 9862373413727289 10621017522475542 15341469754686894 19724746827454578 23012204632030341 46024409264060682 69036613896091023 138073227792182046
- Sum of all divisors σ(n): 393091290270478800
- Sum of proper divisors (its aliquot sum) s(n): 255018062478296754
- 138073227792182046 is an abundant number, because the sum of its proper divisors (255018062478296754) is greater than itself. Its abundance is 116944834686114708
Bases of 138073227792182046
- Binary: 1111010101000100011011110011111111000101101101011000111102
- Hexadecimal: 0x1EA88DE7F8B6B1E
- Base-36: 11RIVH6QD7VI
Squares and roots of 138073227792182046
- 138073227792182046 squared (1380732277921820462) is 19064216232951792552917278004746116
- 138073227792182046 cubed (1380732277921820463) is 2632257870611767554022020482108990110386907883433336
-
The
square root of 138073227792182046 is 371582060.6436511569 -
The
cube root of 138073227792182046 is 516856.3137947167
Scales and comparisons
How big is 138073227792182046?- 138,073,227,792,182,046 seconds is equal to 4,390,301,555 years, 13 weeks, 2 days, 5 hours, 14 minutes, 6 seconds.
-
To count from 1 to 138,073,227,792,182,046 would take you about thirteen billion, one hundred seventy million, nine hundred four thousand, six hundred sixty-five 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 138073227792182046 cubic inches would be around 43071.4 feet tall.
Recreational maths with 138073227792182046
- 138073227792182046 backwards is 640281297722370831
- The number of decimal digits it has is: 18
- The sum of 138073227792182046's digits is 72
- More coming soon!
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"Number 138073227792182046 - Facts about the integer". Numbermatics.com. 2024. Web. 10 November 2024.
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Numbermatics. (2024). Number 138073227792182046 - Facts about the integer. Retrieved 10 November 2024, from https://numbermatics.com/n/138073227792182046/
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The information we have on file for 138073227792182046 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 138073227792182046, math, Factors of 138073227792182046, curriculum, school, college, exams, university, Prime factorization of 138073227792182046, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seventy-three trillion, two hundred twenty-seven billion, seven hundred ninety-two million, one hundred eighty-two thousand and forty-six.