138375016329312
138,375,016,329,312 is an even composite number composed of five prime numbers multiplied together.
138375016329312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138375016329312:
25 × 32 × 73 × 533 × 972
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 53 × 53 × 53 × 97 × 97)See below for interesting mathematical facts about the number 138375016329312 from the Numbermatics database.
Names of 138375016329312
- Cardinal: 138375016329312 can be written as One hundred thirty-eight trillion, three hundred seventy-five billion, sixteen million, three hundred twenty-nine thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38375016329312 × 1014
Factors of 138375016329312
Divisors of 138375016329312
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 53 56 63 72 84 96 97 98 106 112 126 144 147 159 168 194 196 212 224 252 288 291 294 318 336 343 371 388 392 424 441 477 504 582 588 636 672 679 686 742 776 784 848 873 882 954 1008 1029 1113 1164 1176 1272 1358 1372 1484 1552 1568 1696 1746 1764 1908 2016 2037 2058 2226 2328 2352 2544 2597 2716 2744 2809 2968 3087 3104 3339 3492 3528 3816 4074 4116 4452 4656 4704 4753 5088 5141 5194 5432 5488 5618 5936 6111 6174 6678 6984 7056 7632 7791 8148 8232 8427 8904 9312 9409 9506 10282 10388 10864 10976 11236 11872 12222 12348 13356 13968 14112 14259 15264 15423 15582 16296 16464 16854 17808 18179 18818 19012 19663 20564 20776 21728 22472 23373 24444 24696 25281 26712 27936 28227 28518 30846 31164 32592 32928 33271 33708 35616 35987 36358 37636 38024 39326 41128 41552 42777 44944 46269 46746 48888 49392 50562 53424 54537 56454 57036 58989 61692 62328 65184 65863 66542 67416 71974 72716 75272 76048 78652 82256 83104 84681 85554 89888 92538 93492 97776 98784 99813 101124 106848 107961 109074 112908 114072 117978 123384 124656 131726 133084 134832 137641 143948 145432 148877 150544 152096 157304 163611 164512 169362 171108 176967 185076 186984 195552 197589 199626 202248 215922 218148 225816 228144 235956 246768 249312 251909 263452 266168 269664 272473 275282 287896 290864 297754 299439 301088 314608 323883 327222 338724 342216 353934 370152 373968 395178 399252 404496 412923 431844 436296 446631 451632 456288 461041 471912 493536 498677 503818 526904 532336 544946 550564 575792 581728 592767 595508 598878 629216 647766 654444 677448 684432 707868 740304 747936 755727 790356 798504 808992 817419 825846 863688 872592 893262 903264 922082 943824 963487 997354 1007636 1042139 1053808 1064672 1089892 1101128 1151584 1185534 1191016 1197756 1238769 1295532 1308888 1339893 1354896 1368864 1383123 1415736 1480608 1496031 1511454 1580712 1597008 1634838 1651692 1727376 1745184 1763363 1786524 1844164 1887648 1907311 1926974 1994708 2015272 2084278 2107616 2179784 2202256 2267181 2371068 2382032 2395512 2452257 2477538 2591064 2617776 2679786 2709792 2766246 2831472 2890461 2992062 3022908 3126417 3161424 3194016 3227287 3269676 3303384 3454752 3490739 3526726 3573048 3688328 3814622 3853948 3989416 4030544 4149369 4168556 4359568 4404512 4488093 4534362 4742136 4764064 4791024 4904514 4955076 5182128 5235552 5290089 5359572 5532492 5662944 5721933 5780922 5984124 6045816 6252834 6322848 6454574 6539352 6606768 6981478 7053452 7146096 7294973 7376656 7629244 7707896 7978832 8061088 8298738 8337112 8671383 8719136 8976186 9068724 9379251 9484272 9582048 9681861 9809028 9910152 10364256 10472217 10580178 10719144 11064984 11443866 11561844 11968248 12091632 12505668 12909148 13078704 13213536 13351177 13962956 14106904 14292192 14441069 14589946 14753312 15258488 15415792 15870267 15957664 16597476 16674224 17165799 17342766 17952372 18137448 18758502 18968544 19363722 19618056 19820304 20944434 21160356 21438288 21884919 22129968 22887732 23123688 23936496 24183264 24435173 25011336 25818296 26157408 26429881 26702354 27925912 28213808 28882138 29045583 29179892 30516976 30831584 31416651 31740534 33194952 33348448 34331598 34685532 35904744 36274896 37517004 38727444 39236112 39640608 40053531 41888868 42320712 42876576 43323207 43769838 44259936 45775464 46247376 47872992 48870346 50022672 51064811 51636592 52859762 53404708 55851824 56427616 57764276 58091166 58359784 61033952 62833302 63481068 65654757 66389904 68663196 69371064 71809488 72549792 73305519 75034008 77454888 78472224 79289643 80107062 83777736 84641424 86646414 87539676 91550928 92494752 93458239 97740692 100045344 101087483 102129622 103273184 105719524 106809416 111703648 115528552 116182332 116719568 120160593 125666604 126962136 129969621 131309514 132779808 137326392 138742128 143618976 146611038 150068016 153194433 154909776 158579286 160214124 167555472 169282848 171046211 173292828 175079352 183101856 185009167 186916478 195481384 202174966 204259244 211439048 213618832 219916557 231057104 232364664 233439136 237868929 240321186 251333208 253924272 259939242 262619028 274652784 277484256 280374717 293222076 300136032 303262449 306388866 309819552 317158572 320428248 335110944 342092422 346585656 350158704 370018334 373832956 390962768 404349932 408518488 422878096 427237664 439833114 459583299 462114208 464729328 475737858 480642372 502666416 507848544 513138633 519878484 525238056 549305568 555027501 560749434 586444152 606524898 612777732 634317144 640856496 684184844 693171312 700317408 707612381 740036668 747665912 781925536 808699864 817036976 841124151 845756192 879666228 909787347 919166598 929458656 951475716 961284744 1005332832 1026277266 1039756968 1050476112 1110055002 1121498868 1172888304 1213049796 1225555464 1268634288 1281712992 1295064169 1368369688 1386342624 1400783693 1415224762 1480073336 1495331824 1539415899 1617399728 1634073952 1665082503 1682248302 1759332456 1819574694 1838333196 1902951432 1922569488 2052554532 2079513936 2100952224 2122837143 2220110004 2242997736 2345776608 2426099592 2451110928 2537268576 2590128338 2736739376 2801567386 2830449524 2960146672 2990663648 3078831798 3234799456 3330165006 3364496604 3518664912 3639149388 3676666392 3805902864 3845138976 3885192507 4105109064 4159027872 4202351079 4245674286 4440220008 4485995472 4852199184 4902221856 4953286667 5180256676 5473478752 5603134772 5660899048 5920293344 6157663596 6368511429 6660330012 6728993208 7037329824 7278298776 7353332784 7611805728 7770385014 8210218128 8404702158 8491348572 8880440016 8971990944 9065449183 9704398368 9805485851 9906573334 10360513352 11206269544 11321798096 11655577521 12315327192 12607053237 12737022858 13320660024 13457986416 14556597552 14706665568 14859860001 15540770028 16420436256 16809404316 16982697144 17760880032 18130898366 19610971702 19813146668 20721026704 22412539088 22643596192 23311155042 24630654384 25214106474 25474045716 26641320048 26915972832 27196347549 29113195104 29416457553 29719720002 31081540056 33618808632 33965394288 36261796732 39221943404 39626293336 41442053408 44579580003 44825078176 46622310084 49261308768 50428212948 50948091432 53282640096 54392695098 58832915106 59439440004 62163080112 67237617264 67930788576 68638400957 72523593464 78443886808 79252586672 81589042647 88249372659 89159160006 93244620168 100856425896 101896182864 108785390196 117665830212 118878880008 124326160224 134475234528 137276801914 145047186928 156887773616 158505173344 163178085294 176498745318 178318320012 186489240336 201712851792 203792365728 205915202871 217570780392 235331660424 237757760016 274553603828 290094373856 313775547232 326356170588 352997490636 356636640024 372978480672 403425703584 411830405742 435141560784 470663320848 475515520032 480468806699 549107207656 617745608613 652712341176 705994981272 713273280048 823660811484 870283121568 941326641696 960937613398 1098214415312 1235491217226 1305424682352 1411989962544 1426546560096 1441406420097 1647321622968 1921875226796 2196428830624 2470982434452 2610849364704 2823979925088 2882812840194 3294643245936 3843750453592 4324219260291 4941964868904 5765625680388 6589286491872 7687500907184 8648438520582 9883929737808 11531251360776 15375001814368 17296877041164 19767859475616 23062502721552 34593754082328 46125005443104 69187508164656 138375016329312
- Sum of all divisors σ(n): 472593198168000
- Sum of proper divisors (its aliquot sum) s(n): 334218181838688
- 138375016329312 is an abundant number, because the sum of its proper divisors (334218181838688) is greater than itself. Its abundance is 195843165509376
Bases of 138375016329312
- Binary: 111110111011001111100011011000110110000011000002
- Hexadecimal: 0x7DD9F1B1B060
- Base-36: 1D1SLRZH40
Squares and roots of 138375016329312
- 138375016329312 squared (1383750163293122) is 19147645144137362646430393344
- 138375016329312 cubed (1383750163293123) is 2649555709487879180103771189683579196899328
-
The
square root of 138375016329312 is 11763291.0500978425 -
The
cube root of 138375016329312 is 51723.2606403215
Scales and comparisons
How big is 138375016329312?- 138,375,016,329,312 seconds is equal to 4,399,897 years, 25 weeks, 5 days, 23 hours, 55 minutes, 12 seconds.
-
To count from 1 to 138,375,016,329,312 would take you about ten million, nine hundred ninety-nine thousand, seven hundred forty-three 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 138375016329312 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138375016329312
- 138375016329312 backwards is 213923610573831
- The number of decimal digits it has is: 15
- The sum of 138375016329312's digits is 54
- 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 138375016329312 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 138375016329312 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138375016329312/
Chicago style:
Numbermatics. 2024. "Number 138375016329312 - Facts about the integer". https://numbermatics.com/n/138375016329312/
The information we have on file for 138375016329312 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 138375016329312, math, Factors of 138375016329312, curriculum, school, college, exams, university, Prime factorization of 138375016329312, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred seventy-five billion, sixteen million, three hundred twenty-nine thousand, three hundred twelve.