138964263458457803520
138,964,263,458,457,803,520 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138964263458457803520 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138964263458457803520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138964263458457803520:
28 × 3 × 5 × 72 × 11 × 151 × 444637607977
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 151 × 444637607977)See below for interesting mathematical facts about the number 138964263458457803520 from the Numbermatics database.
Names of 138964263458457803520
- Cardinal: 138964263458457803520 can be written as One hundred thirty-eight quintillion, nine hundred sixty-four quadrillion, two hundred sixty-three trillion, four hundred fifty-eight billion, four hundred fifty-seven million, eight hundred three thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3896426345845780352 × 1020
Factors of 138964263458457803520
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 444637608156
Divisors of 138964263458457803520
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 49 55 56 60 64 66 70 77 80 84 88 96 98 105 110 112 120 128 132 140 147 151 154 160 165 168 176 192 196 210 220 224 231 240 245 256 264 280 294 302 308 320 330 336 352 384 385 392 420 440 448 453 462 480 490 528 539 560 588 604 616 640 660 672 704 735 755 768 770 784 840 880 896 906 924 960 980 1056 1057 1078 1120 1155 1176 1208 1232 1280 1320 1344 1408 1470 1510 1540 1568 1617 1661 1680 1760 1792 1812 1848 1920 1960 2112 2114 2156 2240 2265 2310 2352 2416 2464 2640 2688 2695 2816 2940 3020 3080 3136 3171 3234 3322 3360 3520 3624 3696 3840 3920 4224 4228 4312 4480 4530 4620 4704 4832 4928 4983 5280 5285 5376 5390 5880 6040 6160 6272 6342 6468 6644 6720 7040 7248 7392 7399 7840 8085 8305 8448 8456 8624 8960 9060 9240 9408 9664 9856 9966 10560 10570 10780 11627 11760 12080 12320 12544 12684 12936 13288 13440 14080 14496 14784 14798 15680 15855 16170 16610 16912 17248 18120 18480 18816 19328 19712 19932 21120 21140 21560 22197 23254 23520 24160 24640 24915 25368 25872 26576 26880 28992 29568 29596 31360 31710 32340 33220 33824 34496 34881 36240 36960 36995 37632 38656 39864 42240 42280 43120 44394 46508 47040 48320 49280 49830 50736 51744 53152 57984 58135 59136 59192 62720 63420 64680 66440 67648 68992 69762 72480 73920 73990 79728 81389 84560 86240 88788 93016 94080 96640 98560 99660 101472 103488 106304 110985 115968 116270 118384 126840 129360 132880 135296 137984 139524 144960 147840 147980 159456 162778 169120 172480 174405 177576 186032 188160 193280 199320 202944 206976 212608 221970 232540 236768 244167 253680 258720 265760 270592 279048 289920 295680 295960 318912 325556 338240 344960 348810 355152 372064 398640 405888 406945 413952 425216 443940 465080 473536 488334 507360 517440 531520 558096 579840 591920 637824 651112 676480 689920 697620 710304 744128 797280 811776 813890 887880 930160 947072 976668 1014720 1034880 1063040 1116192 1183840 1220835 1275648 1302224 1352960 1395240 1420608 1488256 1594560 1627780 1775760 1860320 1894144 1953336 2029440 2069760 2126080 2232384 2367680 2441670 2604448 2790480 2841216 2976512 3189120 3255560 3551520 3720640 3906672 4058880 4464768 4735360 4883340 5208896 5580960 5682432 6378240 6511120 7103040 7441280 7813344 8929536 9470720 9766680 10417792 11161920 13022240 14206080 14882560 15626688 19533360 20835584 22323840 26044480 28412160 31253376 39066720 44647680 52088960 62506752 78133440 104177920 156266880 312533760 444637607977 889275215954 1333912823931 1778550431908 2223188039885 2667825647862 3112463255839 3557100863816 4446376079770 4891013687747 5335651295724 6224926511678 6669564119655 7114201727632 8892752159540 9337389767517 9782027375494 10671302591448 12449853023356 13339128239310 14228403455264 14673041063241 15562316279195 17785504319080 18674779535034 19564054750988 21342605182896 21787242790873 24455068438735 24899706046712 26678256478620 28456806910528 29346082126482 31124632558390 34237095814229 35571008638160 37349559070068 39128109501976 42685210365792 43574485581746 46686948837585 48910136877470 49799412093424 53356512957240 56913613821056 58692164252964 62249265116780 65361728372619 67140278804527 68474191628458 71142017276320 73365205316205 74699118140136 78256219003952 85370420731584 87148971163492 93373897675170 97820273754940 99598824186848 102711287442687 106713025914480 108936213954365 113827227642112 117384328505928 124498530233560 130723456745238 134280557609054 136948383256916 142284034552640 146730410632410 149398236280272 156512438007904 170740841463168 171185479071145 174297942326984 186747795350340 195640547509880 199197648373696 201420836413581 205422574885374 213426051828960 217872427908730 234768657011856 239659670699603 248997060467120 261446913490476 268561115218108 273896766513832 284568069105280 293460821264820 298796472560544 313024876015808 326808641863095 335701394022635 341481682926336 342370958142290 348595884653968 373495590700680 391281095019760 398395296747392 402841672827162 410845149770748 426852103657920 435744855817460 469537314023712 469981951631689 479319341399206 497994120934240 513556437213435 522893826980952 537122230436216 547793533027664 569136138210560 586921642529640 597592945121088 626049752031616 653617283726190 671402788045270 684741916284580 697191769307936 718979012098809 738543066849797 746991181401360 782562190039520 796790593494784 805683345654324 821690299541496 853704207315840 871489711634920 939074628047424 939963903263378 958638682798412 995988241868480 1007104182067905 1027112874426870 1045787653961904 1074244460872432 1095587066055328 1173843285059280 1195185890242176 1198298353498015 1252099504063232 1307234567452380 1342805576090540 1369483832569160 1394383538615872 1409945854895067 1437958024197618 1477086133699594 1493982362802720 1565124380079040 1611366691308648 1643380599082992 1707408414631680 1742979423269840 1878149256094848 1879927806526756 1917277365596824 1991976483736960 2014208364135810 2054225748853740 2091575307923808 2148488921744864 2191174132110656 2215629200549391 2347686570118560 2349909758158445 2390371780484352 2396596706996030 2614469134904760 2685611152181080 2738967665138320 2788767077231744 2819891709790134 2875916048395236 2954172267399188 2987964725605440 3130248760158080 3222733382617296 3286761198165984 3289873661421823 3485958846539680 3594895060494045 3692715334248985 3756298512189696 3759855613053512 3834554731193648 3983952967473920 4028416728271620 4108451497707480 4183150615847616 4296977843489728 4382348264221312 4431258401098782 4695373140237120 4699819516316890 4793193413992060 5169801467948579 5228938269809520 5371222304362160 5477935330276640 5577534154463488 5639783419580268 5751832096790472 5908344534798376 5975929451210880 6260497520316160 6445466765234592 6573522396331968 6579747322843646 6971917693079360 7049729274475335 7189790120988090 7385430668497970 7519711226107024 7669109462387296 8056833456543240 8216902995414960 8366301231695232 8593955686979456 8764696528442624 8862516802197564 9390746280474240 9399639032633780 9586386827984120 9869620984265469 10339602935897158 10457876539619040 10742444608724320 10955870660553280 11078146002746955 11279566839160536 11503664193580944 11816689069596752 11951858902421760 12890933530469184 13147044792663936 13159494645687292 13943835386158720 14099458548950670 14379580241976180 14770861336995940 15039422452214048 15338218924774592 15509404403845737 16113666913086480 16433805990829920 16449368307109115 16732602463390464 17187911373958912 17725033604395128 18781492560948480 18799278065267560 19172773655968240 19739241968530938 20679205871794316 20915753079238080 21484889217448640 21911741321106560 22156292005493910 22559133678321072 23007328387161888 23633378139193504 25781867060938368 25849007339742895 26294089585327872 26318989291374584 27887670772317440 28198917097901340 28759160483952360 29541722673991880 30078844904428096 30676437849549184 31018808807691474 32227333826172960 32867611981659840 32898736614218230 35450067208790256 36188610275640053 37598556130535120 38345547311936480 39478483937061876 41358411743588632 41831506158476160 42969778434897280 43823482642213120 44312584010987820 45118267356642144 46014656774323776 47266756278387008 49348104921327345 51563734121876736 51698014679485790 52637978582749168 56397834195802680 57518320967904720 59083445347983760 60157689808856192 61352875699098368 62037617615382948 64454667652345920 65735223963319680 65797473228436460 70900134417580512 72377220551280106 75197112261070240 76691094623872960 77547022019228685 78956967874123752 82716823487177264 83663012316952320 85939556869794560 88625168021975640 90236534713284288 92029313548647552 94533512556774016 98696209842654690 103396029358971580 105275957165498336 108565830826920159 112795668391605360 115036641935809440 118166890695967520 120315379617712384 124075235230765896 128909335304691840 131470447926639360 131594946456872920 141800268835161024 144754441102560212 150394224522140480 153382189247745920 155094044038457370 157913935748247504 165433646974354528 177250336043951280 180473069426568576 180943051378200265 184058627097295104 189067025113548032 197392419685309380 206792058717943160 210551914330996672 217131661653840318 225591336783210720 230073283871618880 236333781391935040 248150470461531792 257818670609383680 263189892913745840 283600537670322048 289508882205120424 300788449044280960 306764378495491840 310188088076914740 315827871496495008 330867293948709056 354500672087902560 360946138853137152 361886102756400530 394784839370618760 413584117435886320 421103828661993344 434263323307680636 451182673566421440 460146567743237760 472667562783870080 496300940923063584 526379785827491680 542829154134600795 567201075340644096 579017764410240848 601576898088561920 620376176153829480 631655742992990016 661734587897418112 709001344175805120 723772205512801060 789569678741237520 827168234871772640 842207657323986688 868526646615361272 902365347132842880 920293135486475520 945335125567740160 992601881846127168 1052759571654983360 1085658308269201590 1158035528820481696 1240752352307658960 1263311485985980032 1323469175794836224 1418002688351610240 1447544411025602120 1579139357482475040 1654336469743545280 1737053293230722544 1804730694265685760 1985203763692254336 2105519143309966720 2171316616538403180 2316071057640963392 2481504704615317920 2526622971971960064 2836005376703220480 2895088822051204240 3158278714964950080 3308672939487090560 3474106586461445088 3970407527384508672 4211038286619933440 4342633233076806360 4632142115281926784 4963009409230635840 5790177644102408480 6316557429929900160 6617345878974181120 6948213172922890176 8685266466153612720 9264284230563853568 9926018818461271680 11580355288204816960 12633114859859800320 13896426345845780352 17370532932307225440 19852037636922543360 23160710576409633920 27792852691691560704 34741065864614450880 46321421152819267840 69482131729228901760 138964263458457803520
- Sum of all divisors σ(n): 566941207781212217856
- Sum of proper divisors (its aliquot sum) s(n): 427976944322754414336
- 138964263458457803520 is an abundant number, because the sum of its proper divisors (427976944322754414336) is greater than itself. Its abundance is 289012680864296610816
Bases of 138964263458457803520
- Binary: 11110001000100001000011110101011001111010110010110001011011000000002
- Hexadecimal: 0x788843D59EB2C5B00
- Base-36: TBS9S5L5CMJ9C
Squares and roots of 138964263458457803520
- 138964263458457803520 squared (1389642634584578035202) is 19311066518551670775694769128382924390400
- 138964263458457803520 cubed (1389642634584578035203) is 2683548135347817896486874220332083926248600680697018974208000
-
The
square root of 138964263458457803520 is 11788310458.1809264259 -
The
cube root of 138964263458457803520 is 5179657.4990875353
Scales and comparisons
How big is 138964263458457803520?- 138,964,263,458,457,803,520 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,964,263,458,457,803,520 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 138964263458457803520 cubic inches would be around 431638.1 feet tall.
Recreational maths with 138964263458457803520
- 138964263458457803520 backwards is 025308754854362469831
- The number of decimal digits it has is: 21
- The sum of 138964263458457803520's digits is 93
- 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 138964263458457803520 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 138964263458457803520 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138964263458457803520/
Chicago style:
Numbermatics. 2024. "Number 138964263458457803520 - Facts about the integer". https://numbermatics.com/n/138964263458457803520/
The information we have on file for 138964263458457803520 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 138964263458457803520, math, Factors of 138964263458457803520, curriculum, school, college, exams, university, Prime factorization of 138964263458457803520, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, nine hundred sixty-four quadrillion, two hundred sixty-three trillion, four hundred fifty-eight billion, four hundred fifty-seven million, eight hundred three thousand, five hundred twenty.