138317456111016
138,317,456,111,016 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138317456111016 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138317456111016 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138317456111016:
23 × 3 × 7 × 132 × 292 × 31 × 67 × 2789
(2 × 2 × 2 × 3 × 7 × 13 × 13 × 29 × 29 × 31 × 67 × 2789)See below for interesting mathematical facts about the number 138317456111016 from the Numbermatics database.
Names of 138317456111016
- Cardinal: 138317456111016 can be written as One hundred thirty-eight trillion, three hundred seventeen billion, four hundred fifty-six million, one hundred eleven thousand and sixteen.
Scientific notation
- Scientific notation: 1.38317456111016 × 1014
Factors of 138317456111016
Divisors of 138317456111016
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 21 24 26 28 29 31 39 42 52 56 58 62 67 78 84 87 91 93 104 116 124 134 156 168 169 174 182 186 201 203 217 232 248 268 273 312 338 348 364 372 377 402 403 406 434 469 507 536 546 609 651 676 696 728 744 754 804 806 812 841 868 871 899 938 1014 1092 1131 1183 1209 1218 1302 1352 1407 1508 1608 1612 1624 1682 1736 1742 1798 1876 1943 2028 2077 2184 2262 2366 2418 2436 2523 2604 2613 2639 2697 2789 2814 2821 3016 3224 3364 3484 3549 3596 3752 3886 4056 4154 4524 4732 4836 4872 4901 5046 5208 5226 5239 5278 5394 5578 5628 5642 5829 5887 6097 6231 6293 6728 6968 7098 7192 7772 7917 8308 8367 8463 9048 9464 9672 9802 10092 10452 10478 10556 10788 10933 11156 11256 11284 11323 11658 11687 11774 12194 12462 12586 13601 14196 14539 14703 15544 15717 15834 16616 16734 16926 17661 18291 18879 19523 19604 20184 20904 20956 21112 21576 21866 22312 22568 22646 23316 23374 23548 24388 24924 25172 25259 26071 27001 27202 28392 29078 29406 31434 31668 32799 33468 33852 33969 34307 35061 35322 36257 36582 36673 37758 39046 39208 40803 41912 43617 43732 45292 46632 46748 47096 48776 49848 50344 50518 52142 54002 54404 56347 58156 58569 58812 60233 62868 63336 65598 66936 67704 67938 68614 70122 70644 72514 73164 73346 75516 75777 76531 78092 78213 79261 80881 81003 81606 81809 86459 87234 87464 90584 93496 101036 102921 104284 108004 108771 108808 110019 112694 116312 117138 117624 120466 125736 131196 135876 137228 140244 141288 142129 145028 146328 146692 151032 151554 151931 153062 156184 156426 158522 161762 162006 163212 163618 169041 172918 174468 176813 180699 182497 186863 189007 202072 205842 208568 216008 217542 220038 225388 229593 234276 237783 240932 242643 245427 253799 259377 262392 271752 274456 280488 284258 290056 293384 303108 303862 306124 312852 317044 323524 324012 326424 327236 328367 338082 338923 345836 348936 351013 353626 361398 364994 373726 378014 394429 411684 421631 426387 435084 440076 450776 455793 459186 468552 471341 475566 481864 485286 490854 507598 518754 530439 547491 560589 566167 567021 568516 605213 606216 607724 612248 625704 634088 647048 648024 654472 656734 676164 677846 691672 702026 707252 722796 729988 732511 747452 756028 761397 783029 788858 823368 843262 852774 870168 880152 911586 918372 942682 951132 970572 981708 985101 994903 1015196 1016769 1037508 1051453 1053039 1060878 1063517 1094982 1121178 1123967 1132334 1134042 1137032 1183287 1210426 1215448 1264893 1308041 1313468 1352328 1355692 1404052 1414023 1414504 1445592 1459976 1465022 1494904 1512056 1522794 1566058 1577716 1686524 1698501 1705548 1746757 1815639 1823172 1836744 1885364 1902264 1941144 1963416 1970202 1989806 2030392 2033538 2075016 2102906 2106078 2121756 2127034 2189964 2197533 2242356 2247934 2264668 2268084 2298569 2345549 2349087 2366574 2372461 2420852 2429219 2457091 2507311 2529786 2616082 2626936 2711384 2808104 2828046 2930044 2984709 3045588 3132116 3154359 3155432 3190551 3299387 3371901 3373048 3397002 3411096 3493514 3631278 3646344 3770728 3924123 3940404 3979612 4067076 4205812 4212156 4243512 4254068 4379928 4395066 4405999 4484712 4495868 4529336 4536168 4597138 4691098 4698174 4733148 4744922 4841704 4858438 4914182 5014622 5059572 5127577 5232164 5240271 5419027 5481203 5656092 5792753 5860088 5969418 6091176 6264232 6308718 6381102 6598774 6743802 6794004 6895707 6987028 7036647 7117383 7262556 7287657 7360171 7371273 7521933 7848246 7867769 7880808 7959224 8134152 8411624 8424312 8508136 8790132 8811998 8991736 9194276 9382196 9396348 9466296 9489844 9522643 9716876 9828364 9898161 10029244 10119144 10179377 10255154 10464328 10480542 10838054 10962406 11312184 11585506 11938836 12227299 12617436 12762204 13197548 13217997 13487604 13588008 13668889 13791414 13974056 14073294 14234766 14525112 14575314 14611571 14720342 14742546 15043866 15382731 15696492 15735538 16257081 16418843 16443609 17004533 17378259 17551177 17580264 17623996 18388552 18764392 18792696 18979688 19045286 19433752 19656728 19796322 20058488 20358754 20510308 20961084 21676108 21924812 22080513 22707841 23171012 23603307 23877672 24454598 25234872 25524408 26395096 26435994 26975208 27337778 27582828 28146588 28469532 28567929 29150628 29223142 29440684 29485092 30087732 30492137 30538131 30765462 30841993 31392984 31471076 31579847 32514162 32595043 32837686 32887218 34009066 34756518 35102354 35247992 36681897 37933189 38090572 39592644 40549271 40717508 41006667 41020616 41922168 43352216 43834713 43849624 44161026 45415682 46342024 47206614 48909196 49256529 51013599 52653531 52871988 54675556 55165656 56293176 56939064 57135858 58301256 58446284 58881368 58970184 60175464 60984274 61076262 61530924 61683986 62942152 63159694 65028324 65190086 65675372 65774436 66658501 68018132 68123523 69513036 70204708 70447351 71255639 72712019 73363794 75305789 75866378 76181144 79185288 81098542 81435016 82013334 87669426 88322052 90831364 91476411 92525979 94413228 94739541 95682223 97785129 97818392 98513058 102027198 102280997 105307062 105743976 109351112 113799567 114271716 116892568 121647813 121968548 122152524 123061848 123367972 126319388 130056648 130380172 131350744 131548872 133317002 136036264 136247046 139026072 140409416 140894702 142511278 145424038 146727588 150611578 151732756 157151783 158954887 162197084 164026668 167989837 175338852 176644104 181662728 182952822 185051958 188826456 189479082 191364446 195570258 197026116 199975503 204054396 204561994 210614124 211342053 213444959 213766917 218136057 221058929 225917367 227599134 228165301 228543432 243295626 243937096 244305048 246735944 252638776 260760344 266634004 272494092 281789404 285022556 287046669 290848076 293455176 295201933 301223156 303465512 306842991 314303566 317909774 324394168 328053336 335979674 350677704 365905644 370103916 378958164 382728892 391140516 394052232 396397781 399951006 408108792 409123988 421228248 422684106 423735559 426889918 427533834 436272114 442117858 451834734 455198268 456330602 471455349 476864661 486591252 493131457 503969511 508984133 527140523 533268008 544988184 563578808 570045112 574093338 581696152 590403866 602446312 613685982 628607132 635819548 640334877 663176787 671959348 684495903 731811288 740207832 757916328 765457784 782281032 792795562 799902012 818247976 845368212 847471118 853779836 855067668 872544228 884235716 885605799 903669468 910396536 912661204 915815563 942910698 945256247 953729322 973182504 978975257 986262914 1007939022 1017968266 1054281046 1100062481 1148186676 1175928859 1180807732 1189193343 1227371964 1257214264 1271206677 1271639096 1280669754 1326353574 1343918696 1368991806 1479394371 1526952399 1581421569 1585591124 1599804024 1690736424 1694942236 1707559672 1710135336 1745088456 1768471432 1771211598 1807338936 1825322408 1831631126 1885821396 1890512494 1907458644 1957950514 1972525828 2015878044 2035936532 2042973179 2066413531 2108562092 2183867881 2200124962 2296373352 2351857718 2361615464 2378386686 2454743928 2542413354 2561339508 2652707148 2737983612 2747446689 2774784467 2835768741 2936925771 2958788742 2966148913 3053904798 3162843138 3171182248 3300187443 3389884472 3527786577 3542423196 3663262252 3771642792 3781024988 3814917288 3915901028 3945051656 4031756088 4071873064 4085946358 4132827062 4217124184 4367735762 4400249924 4703715436 4756773372 4871705273 5084826708 5122679016 5305414296 5475967224 5494893378 5549568934 5671537482 5873851542 5917577484 5932297826 6107809596 6128919537 6199240593 6325686276 6410708941 6551603643 6600374886 6616793729 6852826799 7055573154 7084846392 7326524504 7562049976 7831802056 8171892716 8265654124 8324353401 8735471524 8800499848 8898446739 9407430872 9513546744 9743410546 10169653416 10989786756 11099137868 11343074964 11747703084 11835154968 11864595652 12215619192 12257839074 12288331211 12398481186 12651372552 12821417882 13103207286 13200749772 13233587458 13705653598 14111146308 14300812253 14615115819 15287075167 16343785432 16531308248 16648706802 17470943048 17796893478 19232126823 19486821092 19850381187 20558480397 21979573512 22198275736 22686149928 23495406168 23729191304 24515678148 24576662422 24796962372 25642835764 26206414572 26401499544 26467174916 26558651327 27411307196 28222292616 28390282453 28601624506 29230231638 30574150334 33297413604 34101936911 35593786956 36864993633 38464253646 38973642184 39700762374 41116960794 42902436759 45861225501 49031356296 49153324844 49593924744 51285671528 52412829144 52934349832 53117302654 54822614392 56780564906 57203249012 58460463276 61148300668 63332168549 66594827208 68203873822 71187573912 73729987266 76928507292 79401524748 79675953981 82233921588 85170847359 85804873518 86018318477 91722451002 98306649688 102305810733 106234605308 113561129812 114406498024 116920926552 122296601336 126664337098 136407747644 147459974532 153857014584 158803049496 159351907962 164467843176 170341694718 171609747036 172036636954 183444902004 185910559289 189996505647 198731977171 204611621466 212469210616 227122259624 253328674196 258054955431 272815495288 294919949064 318703815924 340683389436 343219494072 344073273908 366889804008 371821118578 379993011294 397463954342 409223242932 443325179843 506657348392 516109910862 557731677867 596195931513 637407631848 681366778872 688146547816 743642237156 759986022588 794927908684 818446485864 823318191137 886650359686 1032219821724 1115463355734 1192391863026 1329975539529 1487284474312 1519972045176 1589855817368 1646636382274 1773300719372 2064439643448 2230926711468 2384783726052 2469954573411 2659951079058 3293272764548 3546601438744 4461853422936 4769567452104 4939909146822 5319902158116 5763227337959 6586545529096 9879818293644 10639804316232 11526454675918 17289682013877 19759636587288 23052909351836 34579364027754 46105818703672 69158728055508 138317456111016
- Sum of all divisors σ(n): 464487013785600
- Sum of proper divisors (its aliquot sum) s(n): 326169557674584
- 138317456111016 is an abundant number, because the sum of its proper divisors (326169557674584) is greater than itself. Its abundance is 187852101563568
Bases of 138317456111016
- Binary: 111110111001100100010101101011001110101101010002
- Hexadecimal: 0x7DCC8AD675A8
- Base-36: 1D125U48FC
Squares and roots of 138317456111016
- 138317456111016 squared (1383174561110162) is 19131718665022837402916552256
- 138317456111016 cubed (1383174561110163) is 2646250656777601930789239805463164701252096
-
The
square root of 138317456111016 is 11760844.1921069595 -
The
cube root of 138317456111016 is 51716.0878255571
Scales and comparisons
How big is 138317456111016?- 138,317,456,111,016 seconds is equal to 4,398,067 years, 13 weeks, 3 days, 18 hours, 23 minutes, 36 seconds.
-
To count from 1 to 138,317,456,111,016 would take you about ten million, nine hundred ninety-five thousand, one hundred 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 138317456111016 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138317456111016
- 138317456111016 backwards is 610111654713831
- The number of decimal digits it has is: 15
- The sum of 138317456111016's digits is 48
- 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 138317456111016 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 138317456111016 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138317456111016/
Chicago style:
Numbermatics. 2024. "Number 138317456111016 - Facts about the integer". https://numbermatics.com/n/138317456111016/
The information we have on file for 138317456111016 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 138317456111016, math, Factors of 138317456111016, curriculum, school, college, exams, university, Prime factorization of 138317456111016, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred seventeen billion, four hundred fifty-six million, one hundred eleven thousand and sixteen.