138838822701696
138,838,822,701,696 is an even composite number composed of six prime numbers multiplied together.
What does the number 138838822701696 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
138838822701696 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138838822701696:
27 × 32 × 13 × 17 × 193 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 19 × 19 × 19 × 43 × 43 × 43)See below for interesting mathematical facts about the number 138838822701696 from the Numbermatics database.
Names of 138838822701696
- Cardinal: 138838822701696 can be written as One hundred thirty-eight trillion, eight hundred thirty-eight billion, eight hundred twenty-two million, seven hundred one thousand, six hundred ninety-six.
Scientific notation
- Scientific notation: 1.38838822701696 × 1014
Factors of 138838822701696
Divisors of 138838822701696
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 32 34 36 38 39 43 48 51 52 57 64 68 72 76 78 86 96 102 104 114 117 128 129 136 144 152 153 156 171 172 192 204 208 221 228 234 247 258 272 288 304 306 312 323 342 344 361 384 387 408 416 442 456 468 494 516 544 559 576 608 612 624 646 663 684 688 722 731 741 774 816 817 832 884 912 936 969 988 1032 1083 1088 1118 1152 1216 1224 1248 1292 1326 1368 1376 1444 1462 1482 1548 1632 1634 1664 1677 1768 1824 1849 1872 1938 1976 1989 2064 2166 2176 2193 2223 2236 2432 2448 2451 2496 2584 2652 2736 2752 2888 2907 2924 2964 3096 3249 3264 3268 3354 3536 3648 3698 3744 3876 3952 3978 4128 4199 4332 4386 4446 4472 4693 4896 4902 4992 5031 5168 5304 5472 5504 5547 5776 5814 5848 5928 6137 6192 6498 6528 6536 6579 6708 6859 7072 7296 7353 7396 7488 7752 7904 7956 8256 8398 8664 8772 8892 8944 9386 9503 9792 9804 10062 10336 10608 10621 10944 11094 11552 11628 11696 11856 12274 12384 12597 12996 13072 13158 13416 13718 13889 14079 14144 14706 14792 14976 15504 15523 15808 15912 16512 16641 16796 17328 17544 17784 17888 18411 18772 19006 19584 19608 20124 20577 20672 21216 21242 21888 22188 23104 23256 23392 23712 24037 24548 24768 25194 25992 26144 26316 26832 27436 27778 28158 28288 28509 29412 29584 31008 31046 31433 31616 31824 31863 33282 33592 34656 35088 35131 35568 35776 36822 37544 37791 38012 39216 40248 41154 41344 41667 42237 42432 42484 44376 46208 46512 46569 46784 47424 48074 49096 49536 50388 51984 52288 52632 53664 54872 55233 55556 56316 57018 58824 59168 61731 62016 62092 62866 63648 63726 66564 67184 69312 70176 70262 71136 71552 72111 73644 75088 75582 76024 78432 79507 79781 80496 82308 83334 84474 84864 84968 85527 88752 89167 93024 93138 93568 94299 94848 95589 96148 98192 100776 103968 104576 105264 105393 107328 109744 110466 111112 112632 114036 116603 117648 118336 123462 124032 124184 125001 125732 127296 127452 133128 134368 138624 139707 140352 140524 142272 144222 147288 150176 151164 152048 156864 159014 159562 160992 164616 166668 168948 169936 171054 177504 178334 180557 186048 186276 188598 191178 192296 196384 201552 201799 207936 210528 210786 214656 216333 219488 220932 222224 225264 228072 233206 235296 236672 238521 239343 246924 248368 250002 251464 254592 254904 263891 266256 267501 268736 279414 280704 281048 282897 284544 288444 294576 294937 300352 302328 304096 313728 316179 318028 319124 321984 329232 333336 337896 339872 342108 349809 355008 356668 361114 372096 372552 377196 382356 384592 392768 403104 403598 408629 415872 421056 421572 432666 438976 441864 444448 450528 456144 456703 466412 470592 477042 478686 493848 496736 500004 502928 509808 527782 532512 535002 537472 541671 558828 562096 565794 576888 589152 589874 597227 600704 604656 605397 608192 632358 636056 638248 643968 658464 666672 667489 675792 679744 684216 699618 710016 713336 715563 718029 722228 745104 754392 764712 769184 785536 791673 802503 806208 807196 817258 842112 843144 865332 877952 883728 884811 888896 901056 912288 913406 932824 941184 954084 957372 987696 993472 1000008 1005856 1019616 1033591 1049427 1055564 1065024 1070004 1083342 1117656 1124192 1131588 1153776 1178304 1179748 1194454 1209312 1210794 1216384 1225887 1264716 1272112 1276496 1316928 1333344 1334978 1351584 1351619 1359488 1368432 1370109 1399236 1426672 1431126 1436058 1444456 1490208 1508784 1510633 1515839 1529424 1538368 1583346 1605006 1612416 1614392 1625013 1634516 1686288 1730664 1767456 1769622 1777792 1791681 1802112 1816191 1824576 1826812 1865648 1908168 1914744 1975392 1986944 2000016 2002467 2011712 2039232 2067182 2098854 2111128 2130048 2140008 2166684 2235312 2248384 2263176 2307552 2356608 2359496 2375019 2388908 2418624 2421588 2451774 2529432 2544224 2552992 2633856 2654433 2666688 2669956 2703168 2703238 2736864 2740218 2798472 2853344 2862252 2872116 2888912 2980416 3017568 3021266 3031678 3058848 3076736 3100773 3166692 3210012 3228784 3250026 3269032 3372576 3430583 3461328 3534912 3539244 3583362 3632382 3649152 3653624 3677661 3731296 3816336 3829488 3834181 3950784 4000032 4004934 4023424 4054857 4078464 4110327 4134364 4197708 4222256 4280016 4333368 4470624 4496768 4526352 4531899 4547517 4615104 4718992 4750038 4777816 4837248 4843176 4903548 5013929 5058864 5088448 5105984 5308866 5333376 5339912 5375043 5406336 5406476 5473728 5480436 5596944 5706688 5724504 5744232 5777824 5960832 6007401 6035136 6042532 6063356 6117696 6201546 6333384 6420024 6457568 6500052 6538064 6745152 6861166 6922656 7069824 7078488 7166724 7264764 7307248 7355322 7462592 7632672 7658976 7668362 7763951 7901568 8000064 8009868 8109714 8220654 8268728 8395416 8444512 8560032 8666736 8677357 8941248 9052704 9063798 9095034 9230208 9302319 9437984 9500076 9555632 9686352 9807096 10027858 10117728 10176896 10211968 10291749 10617732 10679824 10750086 10812952 10947456 10960872 11193888 11347313 11413376 11449008 11488464 11502543 11555648 12014802 12070272 12085064 12126712 12164571 12235392 12403092 12666768 12682291 12840048 12915136 13000104 13076128 13490304 13595697 13642551 13722332 13845312 14156976 14333448 14529528 14614496 14710644 14925184 15041787 15265344 15317952 15336724 15527902 16000128 16019736 16219428 16441308 16537456 16790832 16889024 17120064 17333472 17354714 17571047 17882496 18105408 18127596 18190068 18604638 18875968 19000152 19111264 19372704 19614192 19638229 20055716 20235456 20583498 21235464 21359648 21500172 21625904 21921744 22387776 22694626 22898016 22976928 23005086 23111296 23291853 24029604 24170128 24253424 24329142 24806184 25333536 25364582 25680096 25680761 25830272 26000208 26032071 26152256 27191394 27285102 27444664 27690624 28313952 28666896 28702027 29059056 29228992 29421288 30083574 30530688 30635904 30673448 30875247 31055804 32039472 32438856 32882616 33074912 33581664 33778048 34041939 34240128 34507629 34666944 34709428 35142094 36210816 36255192 36380136 37209276 37751936 38000304 38046873 38222528 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124223216 128157888 129755424 130362154 131530464 132299648 134326656 136167756 138030516 138837712 139751118 140568376 145020768 145520544 147515069 148837104 152001216 152187492 154084566 156192426 156913536 157105832 158139423 160445728 164667984 164869783 169883712 172001376 172212162 173007232 175373952 176744061 180501444 181557008 184040688 186334824 192236832 193361024 194027392 194633136 195543231 198449472 202916656 204251634 205446088 208001664 208256568 210852564 215598947 217531152 218280816 219557312 228281238 229335168 229616216 231126849 232472448 235370304 235658748 240668592 245387584 247001976 248446432 256315776 258318243 259510848 260724308 263060928 272335512 276061032 277675424 279502236 281136752 290041536 291041088 295030138 297674208 304002432 304374984 308169132 312384852 314211664 316278846 320891456 329335968 329739566 333849893 339767424 344002752 344424324 353488122 361002888 363114016 368081376 372669648 373126351 384473664 389266272 391086462 396898944 405833312 408503268 410892176 416513136 421705128 431197894 435062304 436561632 439114624 442545207 456562476 459232432 462253698 470740608 471317496 481337184 487934459 490775168 494003952 494609349 496892864 516636486 519021696 521448616 526121856 544671024 545338513 552122064 555350848 559004472 562273504 580083072 582082176 586629693 590060276 595348416 608749968 616338264 624769704 628423328 632557692 641782912 646796841 658671936 659479132 667699786 688005504 688848648 706976244 722005776 726228032 736162752 745339296 746252702 768947328 778532544 782172924 811666624 817006536 821784352 833026272 843410256 862395788 870124608 873123264 885090414 913124952 918464864 924507396 942634992 962674368 975868918 988007904 989218698 993785728 1001549679 1033272972 1042897232 1089342048 1090677026 1104244128 1110701696 1118008944 1119379053 1124547008 1173259386 1180120552 1190696832 1217499936 1232676528 1249539408 1256846656 1265115384 1293593682 1317343872 1318958264 1327635621 1335399572 1377697296 1413952488 1444011552 1452456064 1463803377 1472325504 1483828047 1490678592 1492505404 1557065088 1564345848 1623333248 1634013072 1636015539 1643568704 1666052544 1686820512 1724791576 1740249216 1746246528 1770180828 1826249904 1836929728 1849014792 1885269984 1925348736 1940390523 1951737836 1976015808 1978437396 2003099358 2066545944 2085794464 2178684096 2181354052 2208488256 2236017888 2238758106 2249094016 2346518772 2360241104 2434999872 2465353056 2499078816 2513693312 2530230768 2587187364 2637916528 2655271242 2670799144 2755394592 2802786311 2827904976 2888023104 2927606754 2967656094 2981357184 2985010808 3004649037 3128691696 3268026144 3272031078 3287137408 3332105088 3358137159 3373641024 3449583152 3540361656 3652499808 3673859456 3698029584 3770539968 3880781046 3903475672 3952031616 3956874792 4006198716 4133091888 4171588928 4357368192 4362708104 4391410131 4416976512 4472035776 4477516212 4693037544 4720482208 4869999744 4908046617 4930706112 4998157632 5060461536 5174374728 5275833056 5310542484 5341598288 5510789184 5605572622 5655809952 5776046208 5855213508 5935312188 5970021616 6009298074 6257383392 6343147967 6536052288 6544062156 6716274318 6747282048 6899166304 7080723312 7089400669 7304999616 7396059168 7541079936 7761562092 7806951344 7913749584 8012397432 8266183776 8343177856 8408358933 8725416208 8782820262 8944071552 8955032424 9270754721 9386075088 9440964416 9816093234 9861412224 9996315264 10120923072 10348749456 10551666112 10621084968 10683196576 11021578368 11211145244 11311619904 11710427016 11870624376 11940043232 12018596148 12514766784 12686295934 13072104576 13088124312 13432548636 13798332608 14161446624 14178801338 14609999232 14792118336 15523124184 15613902688 15827499168 16024794864 16532367552 16816717866 17450832416 17565640524 17910064848 18541509442 18772150176 18881928832 19029443901 19632186468 20241846144 20697498912 21103332224 21242169936 21268202007 21366393152 22422290488 22623239808 23420854032 23741248752 23880086464 24037192296 25029533568 25225076799 25372591868 26176248624 26865097272 27596665216 27812264163 28322893248 28357602676 29584236672 31046248368 31227805376 31654998336 32049589728 33064735104 33633435732 34901664832 35131281048 35820129696 37083018884 37544300352 38058887802 39264372936 41394997824 42484339872 42536404014 42732786304 44844580976 46841708064 47482497504 47760172928 48074384592 50450153598 50745183736 52352497248 53730194544 55624528326 56645786496 56715205352 57088331703 62092496736 62455610752 63309996672 63804606021 64099179456 67266871464 69803329664 70262562096 71640259392 74166037768 75088600704 76117775604 78528745872 82789995648 83436792489 84968679744 85072808028 89689161952 93683416128 94964995008 96148769184 100900307196 101490367472 104704994496 107460389088 111249056652 113430410704 114176663406 120519811373 124184993472 127609212042 128198358912 134533742928 140525124192 143280518784 148332075536 152235551208 157057491744 166873584978 169937359488 170145616056 179378323904 187366832256 189929990016 192297538368 201800614392 202980734944 209409988992 214920778176 222498113304 226860821408 228353326812 241039622746 248369986944 255218424084 269067485856 281050248384 296664151072 304471102416 314114983488 333747169956 340291232112 358756647808 361559434119 384595076736 403601228784 405961469888 429841556352 444996226608 453721642816 456706653624 482079245492 510436848168 538134971712 562100496768 593328302144 608942204832 628229966976 667494339912 680582464224 723118868238 807202457568 811922939776 889992453216 907443285632 913413307248 964158490984 1020873696336 1076269943424 1084678302357 1186656604288 1217884409664 1334988679824 1361164928448 1446237736476 1614404915136 1779984906432 1826826614496 1928316981968 2041747392672 2169356604714 2435768819328 2669977359648 2722329856896 2892475472952 3228809830272 3559969812864 3653653228992 3856633963936 4083494785344 4338713209428 5339954719296 5784950945904 7307306457984 7713267927872 8166989570688 8677426418856 10679909438592 11569901891808 15426535855744 17354852837712 23139803783616 34709705675424 46279607567232 69419411350848 138838822701696
- Sum of all divisors σ(n): 492319507680000
- Sum of proper divisors (its aliquot sum) s(n): 353480684978304
- 138838822701696 is an abundant number, because the sum of its proper divisors (353480684978304) is greater than itself. Its abundance is 214641862276608
Bases of 138838822701696
- Binary: 111111001000101111011101011010101001010100000002
- Hexadecimal: 0x7E45EEB54A80
- Base-36: 1D7POABOG0
Squares and roots of 138838822701696
- 138838822701696 squared (1388388227016962) is 19276218689192976576601276416
- 138838822701696 cubed (1388388227016963) is 2676287508947982547900868873188631208001536
-
The
square root of 138838822701696 is 11782988.6998883267 -
The
cube root of 138838822701696 is 51780.9849933311
Scales and comparisons
How big is 138838822701696?- 138,838,822,701,696 seconds is equal to 4,414,645 years, 5 weeks, 3 days, 7 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,838,822,701,696 would take you about eleven million, thirty-six thousand, six hundred twelve 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 138838822701696 cubic inches would be around 4315.1 feet tall.
Recreational maths with 138838822701696
- 138838822701696 backwards is 696107228838831
- 138838822701696 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138838822701696's digits is 72
- More coming soon!
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"Number 138838822701696 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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The information we have on file for 138838822701696 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 138838822701696, math, Factors of 138838822701696, curriculum, school, college, exams, university, Prime factorization of 138838822701696, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred thirty-eight billion, eight hundred twenty-two million, seven hundred one thousand, six hundred ninety-six.