138395317960704
138,395,317,960,704 is an even composite number composed of five prime numbers multiplied together.
What does the number 138395317960704 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1140 divisors.
138395317960704 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred forty divisors.
Prime factorization of 138395317960704:
218 × 3 × 72 × 174 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 17 × 17 × 17 × 17 × 43)See below for interesting mathematical facts about the number 138395317960704 from the Numbermatics database.
Names of 138395317960704
- Cardinal: 138395317960704 can be written as One hundred thirty-eight trillion, three hundred ninety-five billion, three hundred seventeen million, nine hundred sixty thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.38395317960704 × 1014
Factors of 138395317960704
Divisors of 138395317960704
- Number of divisors d(n): 1140
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 43 48 49 51 56 64 68 84 86 96 98 102 112 119 128 129 136 147 168 172 192 196 204 224 238 256 258 272 289 294 301 336 344 357 384 392 408 448 476 512 516 544 578 588 602 672 688 714 731 768 784 816 833 867 896 903 952 1024 1032 1088 1156 1176 1204 1344 1376 1428 1462 1536 1568 1632 1666 1734 1792 1806 1904 2023 2048 2064 2107 2176 2193 2312 2352 2408 2499 2688 2752 2856 2924 3072 3136 3264 3332 3468 3584 3612 3808 4046 4096 4128 4214 4352 4386 4624 4704 4816 4913 4998 5117 5376 5504 5712 5848 6069 6144 6272 6321 6528 6664 6936 7168 7224 7616 8092 8192 8256 8428 8704 8772 9248 9408 9632 9826 9996 10234 10752 11008 11424 11696 12138 12288 12427 12544 12642 13056 13328 13872 14161 14336 14448 14739 15232 15351 16184 16384 16512 16856 17408 17544 18496 18816 19264 19652 19992 20468 21504 22016 22848 23392 24276 24576 24854 25088 25284 26112 26656 27744 28322 28672 28896 29478 30464 30702 32368 32768 33024 33712 34391 34816 35088 35819 36992 37281 37632 38528 39304 39984 40936 42483 43008 44032 45696 46784 48552 49152 49708 50176 50568 52224 53312 55488 56644 57344 57792 58956 60928 61404 64736 65536 66048 67424 68782 69632 70176 71638 73984 74562 75264 77056 78608 79968 81872 83521 84966 86016 86989 88064 91392 93568 97104 98304 99416 100352 101136 103173 104448 106624 107457 110976 113288 114688 115584 117912 121856 122808 129472 131072 132096 134848 137564 139264 140352 143276 147968 149124 150528 154112 157216 159936 163744 167042 169932 172032 173978 176128 182784 187136 194208 196608 198832 200704 202272 206346 208896 211259 213248 214914 221952 226576 229376 231168 235824 240737 243712 245616 250563 258944 260967 262144 264192 269696 275128 278528 280704 286552 295936 298248 301056 308224 314432 319872 327488 334084 339864 344064 347956 352256 365568 374272 388416 393216 397664 401408 404544 412692 417792 422518 426496 429828 443904 453152 458752 462336 471648 481474 487424 491232 501126 517888 521934 528384 539392 550256 557056 561408 573104 584647 591872 596496 602112 608923 616448 628864 633777 639744 654976 668168 679728 688128 695912 704512 722211 731136 748544 776832 786432 795328 802816 809088 825384 835584 845036 852992 859656 887808 906304 917504 924672 943296 962948 974848 982464 1002252 1035776 1043868 1056768 1078784 1100512 1114112 1122816 1146208 1169294 1183744 1192992 1204224 1217846 1232896 1257728 1267554 1279488 1309952 1336336 1359456 1376256 1391824 1409024 1444422 1462272 1478813 1497088 1553664 1590656 1605632 1618176 1650768 1671168 1690072 1705984 1719312 1753941 1775616 1812608 1826769 1835008 1849344 1886592 1925896 1949696 1964928 2004504 2071552 2087736 2113536 2157568 2201024 2228224 2245632 2292416 2338588 2367488 2385984 2408448 2435692 2465792 2515456 2535108 2558976 2619904 2672672 2718912 2752512 2783648 2818048 2888844 2924544 2957626 2994176 3107328 3181312 3211264 3236352 3301536 3342336 3380144 3411968 3438624 3507882 3551232 3591403 3625216 3653538 3698688 3773184 3851792 3899392 3929856 4009008 4092529 4143104 4175472 4227072 4315136 4402048 4436439 4456448 4491264 4584832 4677176 4734976 4771968 4816896 4871384 4931584 5030912 5070216 5117952 5239808 5345344 5437824 5505024 5567296 5636096 5777688 5849088 5915252 5988352 6214656 6362624 6422528 6472704 6603072 6684672 6760288 6823936 6877248 7015764 7102464 7182806 7250432 7307076 7397376 7546368 7703584 7798784 7859712 8018016 8185058 8286208 8350944 8454144 8630272 8804096 8872878 8982528 9169664 9354352 9469952 9543936 9633792 9742768 9863168 10061824 10140432 10235904 10351691 10479616 10690688 10774209 10875648 11134592 11272192 11555376 11698176 11830504 11976704 12277587 12429312 12725248 12845056 12945408 13206144 13369344 13520576 13647872 13754496 14031528 14204928 14365612 14500864 14614152 14794752 15092736 15407168 15597568 15719424 16036032 16370116 16572416 16701888 16908288 17260544 17608192 17745756 17965056 18339328 18708704 18939904 19087872 19267584 19485536 19726336 20123648 20280864 20471808 20703382 20959232 21381376 21548418 21751296 22269184 23110752 23396352 23661008 23953408 24555174 24858624 25139821 25450496 25890816 26412288 27041152 27295744 27508992 28063056 28409856 28731224 29001728 29228304 29589504 30185472 30814336 31055073 31195136 31438848 32072064 32740232 33144832 33403776 33816576 34521088 35216384 35491512 35930112 36678656 37417408 37879808 38175744 38535168 38971072 39452672 40247296 40561728 40943616 41406764 41918464 42762752 43096836 43502592 44538368 46221504 46792704 47322016 47906816 49110348 49717248 50279642 50900992 51781632 52824576 54082304 54591488 55017984 56126112 56819712 57462448 58003456 58456608 59179008 60370944 61628672 62110146 62877696 64144128 65480464 66289664 66807552 69042176 70432768 70983024 71860224 73357312 74834816 75419463 75759616 76351488 77942144 78905344 80494592 81123456 81887232 82813528 83836928 85525504 86193672 87005184 89076736 92443008 93585408 94644032 95813632 98220696 99434496 100559284 101801984 103563264 105649152 108164608 109182976 110035968 112252224 113639424 114924896 116006912 116913216 118358016 120741888 123257344 124220292 125755392 128288256 130960928 132579328 133615104 138084352 140865536 141966048 143720448 146714624 149669632 150838926 152702976 155884288 160989184 162246912 163774464 165627056 167673856 171051008 172387344 174010368 175978747 178153472 184886016 189288064 191627264 196441392 198868992 201118568 203603968 207126528 211298304 216329216 218365952 220071936 224504448 227278848 229849792 232013824 233826432 236716032 241483776 246514688 248440584 251510784 256576512 261921856 265158656 267230208 276168704 281731072 283932096 287440896 293429248 299339264 301677852 305405952 311768576 321978368 324493824 327548928 331254112 335347712 342102016 344774688 348020736 351957494 356306944 369772032 378576128 392882784 397737984 402237136 407207936 414253056 422596608 432658432 440143872 449008896 459699584 464027648 467652864 482967552 493029376 496881168 503021568 513153024 523843712 527936241 530317312 534460416 552337408 563462144 567864192 574881792 586858496 598678528 603355704 610811904 623537152 643956736 648987648 655097856 662508224 670695424 684204032 689549376 696041472 703914988 712613888 739544064 757152256 785765568 795475968 804474272 814415872 828506112 845193216 865316864 880287744 898017792 919399168 928055296 935305728 965935104 986058752 993762336 1006043136 1026306048 1047687424 1055872482 1068920832 1126924288 1135728384 1173716992 1197357056 1206711408 1221623808 1247074304 1287913472 1297975296 1325016448 1341390848 1368408064 1379098752 1392082944 1407829976 1425227776 1479088128 1514304512 1571531136 1590951936 1608948544 1628831744 1657012224 1690386432 1730633728 1760575488 1796035584 1838798336 1856110592 1870611456 1931870208 1972117504 1987524672 2012086272 2052612096 2095374848 2111744964 2137841664 2253848576 2271456768 2347433984 2394714112 2413422816 2443247616 2494148608 2595950592 2650032896 2736816128 2758197504 2784165888 2815659952 2850455552 2958176256 3028609024 3143062272 3217897088 3257663488 3380772864 3461267456 3521150976 3592071168 3677596672 3712221184 3741222912 3863740416 3944235008 3975049344 4024172544 4105224192 4190749696 4223489928 4275683328 4507697152 4542913536 4694867968 4789428224 4826845632 4886495232 4988297216 5191901184 5300065792 5473632256 5516395008 5568331776 5631319904 5700911104 5916352512 6057218048 6286124544 6435794176 6761545728 6922534912 7042301952 7184142336 7355193344 7482445824 7888470016 7950098688 8210448384 8381499392 8446979856 8551366656 9015394304 9085827072 9389735936 9578856448 9653691264 9772990464 9976594432 10383802368 10600131584 10947264512 11032790016 11136663552 11262639808 11401822208 11832705024 12114436096 12572249088 12871588352 13523091456 13845069824 14084603904 14368284672 14710386688 14964891648 15776940032 15900197376 16420896768 16762998784 16893959712 17102733312 18171654144 19157712896 19307382528 19953188864 20767604736 21200263168 21894529024 22065580032 22525279616 22803644416 23665410048 24228872192 25144498176 25743176704 27046182912 27690139648 28169207808 28736569344 29420773376 29929783296 31553880064 31800394752 32841793536 33525997568 33787919424 34205466624 36343308288 38315425792 38614765056 39906377728 41535209472 42400526336 44131160064 45050559232 47330820096 48457744384 50288996352 51486353408 55380279296 57473138688 58841546752 59859566592 63107760128 63600789504 65683587072 67051995136 67575838848 68410933248 72686616576 76630851584 77229530112 79812755456 83070418944 84801052672 88262320128 90101118464 94661640192 96915488768 100577992704 102972706816 114946277376 117683093504 119719133184 127201579008 134103990272 135151677696 145373233152 153261703168 154459060224 159625510912 166140837888 169602105344 176524640256 180202236928 189323280384 193830977536 201155985408 205945413632 229892554752 235366187008 239438266368 254403158016 268207980544 270303355392 290746466304 308918120448 339204210688 353049280512 360404473856 387661955072 402311970816 411890827264 459785109504 470732374016 478876532736 508806316032 536415961088 540606710784 581492932608 617836240896 678408421376 706098561024 720808947712 804623941632 823781654528 941464748032 1017612632064 1072831922176 1081213421568 1162985865216 1235672481792 1356816842752 1412197122048 1441617895424 1609247883264 1647563309056 2035225264128 2162426843136 2471344963584 2713633685504 2824394244096 2883235790848 3218495766528 3295126618112 4070450528256 4324853686272 4942689927168 5766471581696 6590253236224 8140901056512 8649707372544 9885379854336 11532943163392 17299414745088 19770759708672 23065886326784 34598829490176 46131772653568 69197658980352 138395317960704
- Sum of all divisors σ(n): 466746350755344
- Sum of proper divisors (its aliquot sum) s(n): 328351032794640
- 138395317960704 is an abundant number, because the sum of its proper divisors (328351032794640) is greater than itself. Its abundance is 189955714833936
Bases of 138395317960704
- Binary: 111110111011110101010111100010000000000000000002
- Hexadecimal: 0x7DDEABC40000
- Base-36: 1D21XJ1W5C
Squares and roots of 138395317960704
- 138395317960704 squared (1383953179607042) is 19153264033444359169288175616
- 138395317960704 cubed (1383953179607043) is 2650722065893848059081623360099817738993664
-
The
square root of 138395317960704 is 11764153.9415592483 -
The
cube root of 138395317960704 is 51725.7900353199
Scales and comparisons
How big is 138395317960704?- 138,395,317,960,704 seconds is equal to 4,400,543 years, 1 week, 2 days, 13 hours, 58 minutes, 24 seconds.
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To count from 1 to 138,395,317,960,704 would take you about eleven million, one thousand, three hundred fifty-seven 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 138395317960704 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138395317960704
- 138395317960704 backwards is 407069713593831
- The number of decimal digits it has is: 15
- The sum of 138395317960704's digits is 66
- More coming soon!
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The information we have on file for 138395317960704 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 138395317960704, math, Factors of 138395317960704, curriculum, school, college, exams, university, Prime factorization of 138395317960704, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred ninety-five billion, three hundred seventeen million, nine hundred sixty thousand, seven hundred four.