138116402578583104
138,116,402,578,583,104 is an even composite number composed of five prime numbers multiplied together.
What does the number 138116402578583104 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 567 divisors.
138116402578583104 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred sixty-seven divisors.
Prime factorization of 138116402578583104:
26 × 132 × 192 × 312 × 60672
(2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 19 × 19 × 31 × 31 × 6067 × 6067)See below for interesting mathematical facts about the number 138116402578583104 from the Numbermatics database.
Names of 138116402578583104
- Cardinal: 138116402578583104 can be written as One hundred thirty-eight quadrillion, one hundred sixteen trillion, four hundred two billion, five hundred seventy-eight million, five hundred eighty-three thousand, one hundred four.
Scientific notation
- Scientific notation: 1.38116402578583104 × 1017
Factors of 138116402578583104
Divisors of 138116402578583104
- Number of divisors d(n): 567
-
Complete list of divisors:
1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 124 152 169 208 247 248 304 338 361 403 416 494 496 589 608 676 722 806 832 961 988 992 1178 1216 1352 1444 1612 1922 1976 1984 2356 2704 2888 3211 3224 3844 3952 4693 4712 5239 5408 5776 6067 6422 6448 7657 7688 7904 9386 9424 10478 10816 11191 11552 12134 12493 12844 12896 15314 15376 15808 18259 18772 18848 20956 22382 23104 24268 24986 25688 25792 30628 30752 36518 37544 37696 41912 44764 48536 49972 51376 61009 61256 61504 73036 75088 78871 83824 89528 97072 99541 99944 102752 115273 122018 122512 145483 146072 150176 157742 162409 167648 179056 188077 194144 199082 199888 205504 230546 237367 244036 245024 290966 292144 300352 315484 324818 335296 346921 358112 376154 388288 398164 399776 461092 474734 488072 490048 581932 584288 630968 649636 693842 716224 752308 796328 799552 922184 949468 976144 1025323 1163864 1168576 1261936 1299272 1387684 1498549 1504616 1592656 1844368 1891279 1898936 1952288 2050646 2190187 2327728 2445001 2523872 2598544 2775368 2997098 3009232 3085771 3185312 3573463 3688736 3782558 3797872 3904576 4101292 4380374 4509973 4655456 4890002 5047744 5197088 5550736 5830387 5994196 6018464 6171542 6370624 7146926 7377472 7565116 7595744 8202584 8760748 9019946 9310912 9780004 10394176 11101472 11660774 11988392 12036928 12343084 14293852 15130232 15191488 16405168 17521496 18039892 19481137 19560008 22202944 23321548 23976784 24686168 28472431 28587704 30260464 31785013 32810336 35042992 36079784 36808489 38962274 39120016 46455019 46643096 47953568 49372336 56944862 57175408 58629649 60520928 63570026 65620672 67895797 70085984 72159568 73616978 75795031 77924548 78240032 92910038 93286192 95907136 98744672 110777353 113889724 114350816 117259298 121041856 127140052 135791594 140171968 144319136 147233956 151590062 155849096 156480064 185820076 186572384 197489344 221554706 227779448 228701632 234518596 254280104 271583188 288638272 294467912 303180124 311698192 370141603 371640152 373144768 443109412 455558896 469037192 478510357 508560208 543166376 588935824 603915247 606360248 623396384 699361291 740283206 743280304 882645361 886218824 911117792 938074384 957020714 985335403 1017120416 1086332752 1141063159 1177871648 1207830494 1212720496 1246792768 1398722582 1440105589 1480566412 1486560608 1765290722 1772437648 1822235584 1876148768 1914041428 1970670806 2034240832 2104769707 2172665504 2282126318 2355743296 2415660988 2425440992 2797445164 2880211178 2961132824 2973121216 3530581444 3544875296 3752297536 3828082856 3941341612 4209539414 4345331008 4564252636 4831321976 4850881984 5594890328 5760422356 5922265648 6220634641 7061162888 7089750592 7656165712 7882683224 8419078828 9091696783 9128505272 9662643952 11189780656 11474389693 11520844712 11844531296 12441269282 13287864529 14122325776 14833821067 15312331424 15765366448 16838157656 18183393566 18257010544 18721372657 19325287904 21680200021 22379561312 22948779386 23041689424 23689062592 24882538564 26575729058 27362006191 28244651552 29667642134 30624662848 31530732896 33676315312 35372957929 36366787132 36514021088 37442745314 38650575808 43360400042 44759122624 45897558772 46083378848 49765077128 53151458116 54724012382 56489303104 59335284268 63061465792 67352630624 70745915858 72733574264 73028042176 74885490628 86720800084 91795117544 92166757696 99530154256 106302916232 109448024764 118192058179 118670568536 134705261248 141491831716 145467148528 149770981256 172742238877 173441600168 183590235088 192839673871 199060308512 212605832464 218896049528 236384116358 237341137072 281842600273 282983663432 290934297056 299541962512 345484477754 346883200336 355706080483 367180470176 385679347742 398120617024 411923800399 425211664928 437792099056 459848453077 472768232716 474682274144 563685200546 565967326864 581868594112 599083925024 672086200651 690968955508 693766400672 711412160966 734360940352 771358695484 823847600798 850423329856 875584198112 919696906154 945536465432 949364548288 1127370401092 1131934653728 1198167850048 1344172401302 1381937911016 1387532801344 1422824321932 1542717390968 1647695201596 1751168396224 1839393812308 1891072930864 2245649105401 2254740802184 2263869307456 2688344802604 2763875822032 2845648643864 3085434781936 3295390403192 3663953803549 3678787624616 3782145861728 4491298210802 4509481604368 5355009405187 5376689605208 5527751644064 5691297287728 5978029890001 6170869563872 6590780806384 7327907607098 7357575249232 7564291723456 8737120608463 8982596421604 9018963208736 10710018810374 10753379210416 11055503288128 11382594575456 11956059780002 12341739127744 12769637812369 13181561612768 14655815214196 14715150498464 17474241216926 17965192843208 18037926417472 21420037620748 21506758420832 22765189150912 23912119560004 25539275624738 26363123225536 29311630428392 29430300996928 34948482433852 35930385686416 42840075241496 43013516841664 47824239120008 51078551249476 58623260856784 69615122267431 69896964867704 71860771372832 85680150482992 95648478240016 102157102498952 113582567910019 117246521713568 139230244534862 139793929735408 143721542745664 166005291560797 171360300965984 191296956480032 204314204997904 227165135820038 234493043427136 278460489069724 279587859470816 332010583121594 342720601931968 382593912960064 408628409995808 454330271640076 556920978139448 559175718941632 664021166243188 817256819991616 908660543280152 1113841956278896 1328042332486376 1817321086560304 2158068790290361 2227683912557792 2656084664972752 3634642173120608 4316137580580722 4455367825115584 5312169329945504 7269284346241216 8632275161161444 10624338659891008 17264550322322888 34529100644645776 69058201289291552 138116402578583104
- Sum of all divisors σ(n): 323704408242291921
- Sum of proper divisors (its aliquot sum) s(n): 185588005663708817
- 138116402578583104 is an abundant number, because the sum of its proper divisors (185588005663708817) is greater than itself. Its abundance is 47471603085125713
Bases of 138116402578583104
- Binary: 1111010101011000000100010111010010101100111101110010000002
- Hexadecimal: 0x1EAB022E959EE40
- Base-36: 11RY6FERG7R4
Squares and roots of 138116402578583104
- 138116402578583104 squared (1381164025785831042) is 19076140661249237499702024234274816
- 138116402578583104 cubed (1381164025785831043) is 2634727923214778184828516009565638921681978230308864
-
138116402578583104 is a
perfect square number . Itssquare root is 371640152 -
The
cube root of 138116402578583104 is 516910.1809485539
Scales and comparisons
How big is 138116402578583104?- 138,116,402,578,583,104 seconds is equal to 4,391,674,379 years, 47 weeks, 4 days, 3 hours, 45 minutes, 4 seconds.
-
To count from 1 to 138,116,402,578,583,104 would take you about thirteen billion, one hundred seventy-five million, twenty-three thousand, one hundred thirty-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 138116402578583104 cubic inches would be around 43075.8 feet tall.
Recreational maths with 138116402578583104
- 138116402578583104 backwards is 401385875204611831
- The number of decimal digits it has is: 18
- The sum of 138116402578583104's digits is 67
- More coming soon!
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The information we have on file for 138116402578583104 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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