138349702578351457746
138,349,702,578,351,457,746 is an even composite number composed of six prime numbers multiplied together.
What does the number 138349702578351457746 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1764 divisors.
138349702578351457746 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty-four divisors.
Prime factorization of 138349702578351457746:
2 × 36 × 76 × 17 × 672 × 32512
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 17 × 67 × 67 × 3251 × 3251)See below for interesting mathematical facts about the number 138349702578351457746 from the Numbermatics database.
Names of 138349702578351457746
- Cardinal: 138349702578351457746 can be written as One hundred thirty-eight quintillion, three hundred forty-nine quadrillion, seven hundred two trillion, five hundred seventy-eight billion, three hundred fifty-one million, four hundred fifty-seven thousand, seven hundred forty-six.
Scientific notation
- Scientific notation: 1.38349702578351457746 × 1020
Factors of 138349702578351457746
Divisors of 138349702578351457746
- Number of divisors d(n): 1764
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Complete list of divisors:
1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 67 81 98 102 119 126 134 147 153 162 189 201 238 243 294 306 343 357 378 402 441 459 469 486 567 603 686 714 729 833 882 918 938 1029 1071 1134 1139 1206 1323 1377 1407 1458 1666 1701 1809 2058 2142 2278 2401 2499 2646 2754 2814 3087 3213 3251 3283 3402 3417 3618 3969 4131 4221 4489 4802 4998 5103 5427 5831 6174 6426 6502 6566 6834 7203 7497 7938 7973 8262 8442 8978 9261 9639 9753 9849 10206 10251 10854 11662 11907 12393 12663 13467 14406 14994 15946 16281 16807 17493 18522 19278 19506 19698 20502 21609 22491 22757 22981 23814 23919 24786 25326 26934 27783 28917 29259 29547 30753 31423 32562 33614 34986 35721 37989 40401 40817 43218 44982 45514 45962 47838 48843 50421 52479 55267 55566 55811 57834 58518 59094 61506 62846 64827 67473 68271 68943 71442 71757 75978 76313 80802 81634 83349 86751 87777 88641 92259 94269 97686 100842 104958 110534 111622 113967 117649 121203 122451 129654 134946 136542 137886 143514 151263 152626 157437 159299 160867 165801 166698 167433 173502 175554 177282 184518 188538 194481 202419 204813 206829 215271 217817 219961 227934 228939 235298 242406 244902 250047 263331 265923 276777 282807 285719 302526 314874 318598 321734 331602 334866 341901 352947 363609 367353 386869 388962 390677 404838 409626 413658 430542 435634 439922 453789 457878 472311 477897 482601 497403 500094 502299 526662 531846 534191 553554 565614 571438 583443 607257 614439 620487 645813 653451 659883 683802 686817 705894 727218 734706 773738 781354 789993 797769 830331 848421 857157 907578 944622 955794 965202 994806 1004598 1058841 1068382 1090827 1102059 1115093 1126069 1160607 1166886 1172031 1214514 1228878 1240974 1291626 1306902 1319766 1361367 1373634 1416933 1433691 1447803 1492209 1506897 1524719 1539727 1579986 1595538 1602573 1660662 1696842 1714314 1750329 1843317 1861461 1937439 1960353 1979649 2000033 2060451 2117682 2181654 2204118 2230186 2252138 2321214 2344062 2369979 2393307 2545263 2571471 2708083 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34857571826241234 38239276555652697 40488645764808738 40667167130614773 42141243551127462 42556045087158246 43059353432415642 44816878062310158 49164784142982039 50235912337818249 52286357739361851 55362025841677254 57621700365827346 60732968647213107 64589030148623463 67225317093465237 76478553111305394 81334334261229546 83043038762515881 94890056638101137 98329568285964078 100471824675636498 104572715478723702 114717829666958091 121465937294426214 122001501391844319 129178060297246926 134450634186930474 147494352428946117 150707737013454747 156859073218085553 166086077525031762 189780113276202274 193767090445870389 201675951280395711 229435659333916182 244003002783688638 284670169914303411 294988704857892234 301415474026909494 313718146436171106 344153489000874273 366004504175532957 387534180891740778 403351902560791422 452123211040364241 470577219654256659 569340339828606822 581301271337611167 688306978001748546 732009008351065914 854010509742910233 904246422080728482 941154439308513318 1032460467002622819 1098013512526598871 1162602542675222334 1356369633121092723 1411731658962769977 1708021019485820466 2064920934005245638 2196027025053197742 2562031529228730699 2712739266242185446 2823463317925539954 3294040537579796613 4069108899363278169 5124063058457461398 6588081075159593226 7686094587686192097 8138217798726556338 9882121612739389839 15372189175372384194 19764243225478779678 23058283763058576291 46116567526117152582 69174851289175728873 138349702578351457746
- Sum of all divisors σ(n): 390296808677033648334
- Sum of proper divisors (its aliquot sum) s(n): 251947106098682190588
- 138349702578351457746 is an abundant number, because the sum of its proper divisors (251947106098682190588) is greater than itself. Its abundance is 113597403520330732842
Bases of 138349702578351457746
- Binary: 11101111111111111001110000101111100101000111001010101000101110100102
- Hexadecimal: 0x77FFCE17CA39545D2
- Base-36: T746KI6DH0J4I
Squares and roots of 138349702578351457746
- 138349702578351457746 squared (1383497025783514577462) is 19140640203518307995339792060923223400516
- 138349702578351457746 cubed (1383497025783514577463) is 2648101879315994426595985167474869515376279142505647808596936
-
The
square root of 138349702578351457746 is 11762215037.0732237241 -
The
cube root of 138349702578351457746 is 5172010.6435124839
Scales and comparisons
How big is 138349702578351457746?- 138,349,702,578,351,457,746 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,349,702,578,351,457,746 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138349702578351457746 cubic inches would be around 431000.9 feet tall.
Recreational maths with 138349702578351457746
- 138349702578351457746 backwards is 647754153875207943831
- The number of decimal digits it has is: 21
- The sum of 138349702578351457746's digits is 99
- More coming soon!
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"Number 138349702578351457746 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 138349702578351457746 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138349702578351457746/
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Numbermatics. 2024. "Number 138349702578351457746 - Facts about the integer". https://numbermatics.com/n/138349702578351457746/
The information we have on file for 138349702578351457746 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!
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