138442709404224
138,442,709,404,224 is an even composite number composed of five prime numbers multiplied together.
138442709404224 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred twenty-three divisors.
Prime factorization of 138442709404224:
26 × 36 × 192 × 472 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 47 × 47 × 61 × 61)See below for interesting mathematical facts about the number 138442709404224 from the Numbermatics database.
Names of 138442709404224
- Cardinal: 138442709404224 can be written as One hundred thirty-eight trillion, four hundred forty-two billion, seven hundred nine million, four hundred four thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.38442709404224 × 1014
Factors of 138442709404224
Divisors of 138442709404224
- Number of divisors d(n): 1323
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 47 48 54 57 61 64 72 76 81 94 96 108 114 122 141 144 152 162 171 183 188 192 216 228 243 244 282 288 304 324 342 361 366 376 423 432 456 486 488 513 549 564 576 608 648 684 722 729 732 752 846 864 893 912 972 976 1026 1083 1098 1128 1159 1216 1269 1296 1368 1444 1458 1464 1504 1539 1647 1692 1728 1786 1824 1944 1952 2052 2166 2196 2209 2256 2318 2538 2592 2679 2736 2867 2888 2916 2928 3008 3078 3249 3294 3384 3477 3572 3648 3721 3807 3888 3904 4104 4332 4392 4418 4512 4617 4636 4941 5076 5184 5358 5472 5734 5776 5832 5856 6156 6498 6588 6627 6768 6954 7144 7442 7614 7776 8037 8208 8601 8664 8784 8836 9024 9234 9272 9747 9882 10152 10431 10716 10944 11163 11421 11468 11552 11664 11712 12312 12996 13176 13254 13536 13851 13908 14288 14823 14884 15228 15552 16074 16416 16967 17202 17328 17568 17672 18468 18544 19494 19764 19881 20304 20862 21432 22021 22326 22842 22936 23104 23328 24111 24624 25803 25992 26352 26508 27072 27702 27816 28576 29241 29646 29768 30456 31293 32148 32832 33489 33934 34263 34404 34656 35136 35344 36936 37088 38988 39528 39762 40608 41724 41971 42864 44042 44469 44652 45684 45872 46656 48222 49248 50901 51606 51984 52704 53016 54473 55404 55632 57152 58482 59292 59536 59643 60912 62586 64296 66063 66978 67868 68526 68808 69312 70688 70699 72333 73872 74176 77409 77976 79056 79524 81216 83448 83942 85728 87723 88084 88938 89304 91368 91744 93879 96444 98496 100467 101802 103212 103968 105408 106032 108946 110808 111264 116964 118584 119072 119286 121824 125172 125913 128592 132126 133956 134749 135736 137052 137616 141376 141398 144666 147744 152703 154818 155952 158112 159048 163419 166896 167884 171456 174887 175446 176168 177876 178608 178929 182736 183488 187758 192888 198189 200934 203604 206424 207936 212064 212097 216999 217892 221616 222528 232227 233928 237168 238144 238572 243648 250344 251826 257184 263169 264252 267912 269498 271472 274104 275232 281637 282796 289332 295488 301401 305406 309636 311904 316224 318096 326838 333792 335768 349774 350892 352336 355752 357216 357858 365472 375516 377739 385776 396378 401868 404247 407208 412848 424128 424194 433998 435784 443232 458109 464454 467856 474336 477144 490257 500688 503652 514368 524661 526338 528504 535824 536787 538996 542944 548208 550464 563274 565592 578664 594567 602802 610812 619272 623808 636192 636291 650997 653676 667584 671536 696681 699548 701784 704672 711504 714432 715716 730944 751032 755478 771552 792756 797449 803736 808494 814416 825696 844911 848388 867996 871568 886464 904203 916218 928908 935712 948672 954288 980514 1001376 1007304 1034987 1049322 1052676 1057008 1071648 1073574 1077992 1085888 1096416 1126548 1131184 1133217 1157328 1189134 1205604 1212741 1221624 1238544 1272384 1272582 1301994 1307352 1343072 1343281 1374327 1393362 1399096 1403568 1409344 1423008 1431432 1470771 1502064 1510956 1543104 1573983 1585512 1594898 1607472 1610361 1616988 1628832 1651392 1689822 1696776 1735992 1743136 1783701 1808406 1832436 1857816 1871424 1908576 1908873 1961028 2002752 2014608 2069974 2090043 2098644 2105352 2114016 2143296 2147148 2155984 2192832 2253096 2262368 2266434 2314656 2378268 2392347 2411208 2425482 2443248 2477088 2545164 2560231 2603988 2614704 2686144 2686562 2712609 2748654 2786724 2798192 2807136 2846016 2862864 2941542 3004128 3021912 3104961 3147966 3171024 3189796 3214944 3220722 3233976 3257664 3322853 3379644 3393552 3399651 3471984 3486272 3567402 3616812 3638223 3664872 3715632 3817152 3817746 3922056 4029216 4029843 4122981 4139948 4180086 4197288 4210704 4228032 4294296 4311968 4412313 4506192 4524736 4532868 4629312 4721949 4756536 4784694 4822416 4850964 4886496 4954176 5090328 5120462 5207976 5229408 5351103 5373124 5425218 5497308 5573448 5596384 5614272 5725728 5726619 5883084 6008256 6043824 6209922 6295932 6342048 6379592 6429888 6441444 6467952 6645706 6759288 6787104 6799302 6943968 7134804 7177041 7233624 7276446 7329744 7431264 7635492 7680693 7844112 8058432 8059686 8219689 8245962 8279896 8360172 8394576 8421408 8588592 8623936 8824626 9012384 9065736 9314883 9443898 9513072 9569388 9644832 9701928 9772992 9968559 10180656 10198953 10240924 10415952 10458816 10702206 10746248 10850436 10914669 10994616 11146896 11192768 11451456 11453238 11766168 12087648 12089529 12368943 12419844 12591864 12684096 12759184 12882888 12935904 13236939 13291412 13518576 13574208 13598604 13887936 14165847 14269608 14354082 14467248 14552892 14659488 14862528 15270984 15361386 15688224 16053309 16119372 16439378 16491924 16559792 16720344 16789152 16842816 17177184 17179857 17649252 18024768 18131472 18629766 18887796 19026144 19138776 19289664 19403856 19937118 20361312 20397906 20481848 20831904 21404412 21492496 21531123 21700872 21829338 21989232 22293792 22906476 23042079 23532336 24175296 24179058 24659067 24737886 24839688 25183728 25518368 25765776 25871808 26473878 26582824 27037152 27197208 27944649 28331694 28539216 28708164 28934496 29105784 29318976 29905677 30541968 30596859 30722772 31376448 32106618 32238744 32744007 32878756 32983848 33119584 33440688 33578304 34354368 34359714 35298504 36262944 36268587 37259532 37775592 38052288 38277552 38807712 39710817 39874236 40722624 40795812 40963696 41663808 42497541 42808824 42984992 43062246 43401744 43658676 43978464 44587584 45812952 46084158 47064672 48358116 48644389 49318134 49475772 49679376 50367456 51036736 51531552 51539571 52947756 53165648 54074304 54394416 55889298 56663388 57078432 57416328 57868992 58211568 59811354 61083936 61193718 61445544 63134207 64213236 64477488 64593369 65488014 65757512 65967696 66239168 66881376 68719428 69126237 70597008 72525888 72537174 73977201 74519064 75551184 76555104 77615424 79421634 79748472 81591624 81927392 83833947 84995082 85617648 85969984 86124492 86803488 87317352 87956928 89717031 91625904 92168316 94129344 96716232 97288778 98232021 98636268 98951544 99358752 100734912 103063104 103079142 105895512 106331296 108788832 108805761 111778596 113326776 114156864 114832656 116423136 119622708 122167872 122387436 122891088 126268414 127492623 128426472 128954976 129186738 130976028 131515024 131935392 133762752 137438856 138252474 141194016 145074348 145933167 147954402 149038128 151102368 153110208 156174091 158843268 159496944 163183248 163854784 167667894 169990164 171235296 172248984 173606976 174634704 179434062 183251808 184336632 189402621 193432464 193780107 194577556 196464042 197272536 197903088 198717504 206158284 207378711 211791024 212662592 217577664 217611522 221931603 223557192 226653552 229665312 232846272 239245416 244774872 245782176 251501841 252536828 254985246 256852944 257909952 258373476 261952056 263030048 263870784 269151093 274877712 276504948 282388032 290148696 291866334 295908804 298076256 302204736 312348182 317686536 318993888 326366496 326417283 335335788 339980328 342470592 344497968 349269408 358868124 366503616 368673264 378805242 386864928 387560214 389155112 392928084 394545072 395806176 412316568 414757422 423582048 435223044 437799501 443863206 447114384 453307104 459330624 468522273 478490832 489549744 491564352 503003682 505073656 509970492 513705888 516746952 523904112 526060096 538302186 549755424 553009896 568207863 580297392 581340321 583732668 591817608 596152512 622136133 624696364 635373072 637987776 652732992 652834566 665794809 670671576 679960656 688995936 698538816 717736248 737346528 754505523 757610484 773729856 775120428 778310224 785856168 789090144 791612352 807453279 824633136 829514844 847164096 870446088 875599002 887726412 894228768 906614208 937044546 956981664 979099488 979251849 1006007364 1010147312 1019940984 1027411776 1033493904 1047808224 1076604372 1099510848 1106019792 1136415726 1160594784 1162680642 1167465336 1183635216 1244272266 1249392728 1270746144 1305669132 1313398503 1331589618 1341343152 1359921312 1377991872 1405566819 1435472496 1474693056 1509011046 1515220968 1550240856 1556620448 1571712336 1578180288 1614906558 1649266272 1659029688 1704623589 1740892176 1751198004 1775452824 1788457536 1866408399 1874089092 1913963328 1958198976 1958503698 1997384427 2012014728 2020294624 2039881968 2066987808 2095616448 2153208744 2212039584 2272831452 2321189568 2325361284 2334930672 2367270432 2422359837 2488544532 2498785456 2541492288 2611338264 2626797006 2663179236 2682686304 2719842624 2811133638 2870944992 2967307729 3018022092 3030441936 3100481712 3113240896 3143424672 3229813116 3298532544 3318059376 3409247178 3481784352 3502396008 3550905648 3732816798 3748178184 3917007396 3940195509 3994768854 4024029456 4040589248 4079763936 4133975616 4216700457 4306417488 4424079168 4545662904 4650722568 4669861344 4734540864 4844719674 4977089064 4997570912 5113870767 5222676528 5253594012 5326358472 5365372608 5622267276 5741889984 5934615458 5992153281 6036044184 6060883872 6200963424 6286849344 6459626232 6636118752 6818494356 6963568704 7004792016 7101811296 7465633596 7496356368 7834014792 7880391018 7989537708 8048058912 8159527872 8433400914 8612834976 8901923187 9091325808 9301445136 9339722688 9689439348 9954178128 9995141824 10227741534 10445353056 10507188024 10652716944 11244534552 11820586527 11869230916 11984306562 12072088368 12121767744 12401926848 12650101371 12919252464 13272237504 13636988712 14009584032 14203622592 14931267192 14992712736 15341612301 15668029584 15760782036 15979075416 16096117824 16866801828 17225669952 17803846374 18182651616 18602890272 19378878696 19908356256 20455483068 20890706112 21014376048 21305433888 22489069104 23641173054 23738461832 23968613124 24144176736 25300202742 25838504928 26705769561 27273977424 28019168064 29862534384 29985425472 30683224602 31336059168 31521564072 31958150832 33733603656 35461759581 35607692748 36365303232 37205780544 37950304113 38757757392 39816712512 40910966136 42028752096 42610867776 44978138208 46024836903 47282346108 47476923664 47937226248 48288353472 50600405484 51677009856 53411539122 54547954848 59725068768 61366449204 62672118336 63043128144 63916301664 67467207312 70923519162 71215385496 75900608226 77515514784 80117308683 81821932272 84057504192 89956276416 92049673806 94564692216 94953847328 95874452496 101200810968 106823078244 109095909696 113850912339 119450137536 122732898408 126086256288 127832603328 134934414624 141847038324 142430770992 151801216452 155031029568 160234617366 163643864544 184099347612 189129384432 189907694656 191748904992 202401621936 213646156488 227701824678 240351926049 245465796816 252172512576 269868829248 283694076648 284861541984 303602432904 320469234732 327287729088 368198695224 378258768864 383497809984 404803243872 427292312976 455403649356 480703852098 490931593632 567388153296 569723083968 607204865808 640938469464 721055778147 736397390448 756517537728 809606487744 854584625952 910807298712 961407704196 981863187264 1134776306592 1214409731616 1281876938928 1442111556294 1472794780896 1709169251904 1821614597424 1922815408392 2163167334441 2269552613184 2428819463232 2563753877856 2884223112588 2945589561792 3643229194848 3845630816784 4326334668882 5127507755712 5768446225176 7286458389696 7691261633568 8652669337764 11536892450352 15382523267136 17305338675528 23073784900704 34610677351056 46147569801408 69221354702112 138442709404224
- Sum of all divisors σ(n): 451561346052921
- Sum of proper divisors (its aliquot sum) s(n): 313118636648697
- 138442709404224 is an abundant number, because the sum of its proper divisors (313118636648697) is greater than itself. Its abundance is 174675927244473
Bases of 138442709404224
- Binary: 111110111101001101101001000010000001010010000002
- Hexadecimal: 0x7DE9B4840A40
- Base-36: 1D2NPAP000
Squares and roots of 138442709404224
- 138442709404224 squared (1384427094042242) is 19166383787182412369029042176
- 138442709404224 cubed (1384427094042243) is 2653446100978724965513511755979090328551424
-
138442709404224 is a
perfect square number . Itssquare root is 11766168 -
The
cube root of 138442709404224 is 51731.6936071451
Scales and comparisons
How big is 138442709404224?- 138,442,709,404,224 seconds is equal to 4,402,049 years, 48 weeks, 1 day, 15 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,442,709,404,224 would take you about eleven million, five thousand, one hundred twenty-four 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 138442709404224 cubic inches would be around 4311 feet tall.
Recreational maths with 138442709404224
- 138442709404224 backwards is 422404907244831
- 138442709404224 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138442709404224's digits is 54
- More coming soon!
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"Number 138442709404224 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
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Numbermatics. (2024). Number 138442709404224 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/138442709404224/
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The information we have on file for 138442709404224 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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