138742600040448
138,742,600,040,448 is an even composite number composed of five prime numbers multiplied together.
What does the number 138742600040448 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 912 divisors.
138742600040448 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred twelve divisors.
Prime factorization of 138742600040448:
218 × 3 × 172 × 193 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 17 × 19 × 19 × 19 × 89)See below for interesting mathematical facts about the number 138742600040448 from the Numbermatics database.
Names of 138742600040448
- Cardinal: 138742600040448 can be written as One hundred thirty-eight trillion, seven hundred forty-two billion, six hundred million, forty thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.38742600040448 × 1014
Factors of 138742600040448
Divisors of 138742600040448
- Number of divisors d(n): 912
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Complete list of divisors:
1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 89 96 102 114 128 136 152 178 192 204 228 256 267 272 289 304 323 356 361 384 408 456 512 534 544 578 608 646 712 722 768 816 867 912 969 1024 1068 1083 1088 1156 1216 1292 1424 1444 1513 1536 1632 1691 1734 1824 1938 2048 2136 2166 2176 2312 2432 2584 2848 2888 3026 3072 3264 3382 3468 3648 3876 4096 4272 4332 4352 4539 4624 4864 5073 5168 5491 5696 5776 6052 6137 6144 6528 6764 6859 6936 7296 7752 8192 8544 8664 8704 9078 9248 9728 10146 10336 10982 11392 11552 12104 12274 12288 13056 13528 13718 13872 14592 15504 16384 16473 17088 17328 17408 18156 18411 18496 19456 20292 20577 20672 21964 22784 23104 24208 24548 24576 25721 26112 27056 27436 27744 28747 29184 31008 32129 32768 32946 34176 34656 34816 36312 36822 36992 38912 40584 41154 41344 43928 45568 46208 48416 49096 49152 51442 52224 54112 54872 55488 57494 58368 62016 64258 65536 65892 68352 69312 69632 72624 73644 73984 77163 77824 81168 82308 82688 86241 87856 91136 92416 96387 96832 98192 98304 102884 104329 104448 108224 109744 110976 114988 116603 116736 124032 128516 131072 131784 136704 138624 139264 145248 147288 147968 154326 155648 162336 164616 165376 172482 175712 182272 184832 192774 193664 196384 196608 205768 208658 208896 216448 219488 221952 229976 233206 233472 248064 257032 262144 263568 273408 277248 278528 290496 294576 295936 308652 311296 312987 324672 329232 330752 344964 349809 351424 364544 369664 385548 387328 392768 393216 411536 417316 417792 432896 438976 443904 459952 466412 466944 488699 496128 514064 527136 546193 546816 554496 557056 580992 589152 591872 610451 617304 622592 625974 649344 658464 661504 689928 699618 702848 729088 739328 771096 774656 785536 786432 823072 834632 835584 865792 877952 887808 919904 932824 933888 977398 992256 1028128 1054272 1092386 1093632 1108992 1114112 1161984 1178304 1183744 1220902 1234608 1245184 1251948 1298688 1316928 1323008 1379856 1399236 1405696 1458176 1466097 1478656 1542192 1549312 1571072 1638579 1646144 1669264 1671168 1731584 1755904 1775616 1831353 1839808 1865648 1867776 1954796 1982251 1984512 2056256 2108544 2184772 2187264 2217984 2228224 2323968 2356608 2367488 2441804 2469216 2490368 2503896 2597376 2633856 2646016 2759712 2798472 2811392 2916352 2932194 2957312 3084384 3098624 3142144 3277158 3292288 3338528 3342336 3463168 3511808 3551232 3662706 3679616 3731296 3735552 3909592 3964502 3969024 4112512 4217088 4369544 4374528 4435968 4456448 4647936 4713216 4734976 4883608 4938432 4980736 5007792 5194752 5267712 5292032 5519424 5596944 5622784 5832704 5864388 5914624 5946753 6168768 6197248 6284288 6554316 6584576 6677056 6684672 6926336 7023616 7102464 7325412 7359232 7462592 7471104 7819184 7929004 7938048 8225024 8434176 8739088 8749056 8871936 9285281 9295872 9426432 9469952 9767216 9876864 10015584 10377667 10389504 10535424 10584064 11038848 11193888 11245568 11665408 11728776 11829248 11893506 12337536 12394496 12568576 13108632 13169152 13354112 13369344 13852672 14047232 14204928 14650824 14718464 14925184 14942208 15638368 15858008 15876096 16450048 16868352 17478176 17498112 17743872 18570562 18591744 18852864 18939904 19534432 19753728 20031168 20755334 20779008 21070848 21168128 22077696 22387776 22491136 23330816 23457552 23658496 23787012 24675072 24788992 25137152 26217264 26338304 26708224 27705344 27855843 28094464 28409856 29301648 29436928 29850368 31133001 31276736 31716016 31752192 32900096 33736704 34956352 34996224 35487744 37141124 37183488 37705728 37879808 39068864 39507456 40062336 41510668 41558016 42141696 42336256 44155392 44775552 44982272 46915104 47316992 47574024 49350144 49577984 50274304 52434528 52676608 53416448 55410688 55711686 56188928 56819712 58603296 58873856 59700736 62266002 62553472 63432032 63504384 65800192 67473408 69912704 69992448 70975488 74282248 74366976 75411456 75759616 78137728 79014912 80124672 83021336 83116032 84283392 84672512 88310784 89551104 89964544 93830208 94633984 95148048 98700288 99155968 100548608 104869056 105353216 106832896 110821376 111423372 112377856 113639424 117206592 117747712 119401472 124532004 125106944 126864064 127008768 131600384 134946816 139825408 141950976 148564496 148733952 150822912 156275456 158029824 160249344 166042672 166232064 168566784 176420339 176621568 179102208 179929088 187660416 190296096 197400576 198311936 201097216 209738112 210706432 213665792 221642752 222846744 224755712 227278848 234413184 235495424 238802944 249064008 250213888 253728128 254017536 263200768 269893632 279650816 283901952 297128992 297467904 301645824 312550912 316059648 320498688 332085344 332464128 337133568 352840678 353243136 358204416 359858176 375320832 380592192 394801152 396623872 402194432 419476224 421412864 427331584 443285504 445693488 449511424 468826368 470990848 477605888 498128016 500427776 507456256 526401536 529261017 539787264 559301632 594257984 594935808 603291648 625101824 632119296 640997376 664170688 664928256 674267136 705681356 706486272 716408832 719716352 750641664 761184384 789602304 804388864 838952448 842825728 854663168 891386976 899022848 937652736 941981696 955211776 996256032 1000855552 1014912512 1052803072 1058522034 1079574528 1118603264 1188515968 1189871616 1206583296 1250203648 1264238592 1281994752 1328341376 1329856512 1348534272 1411362712 1412972544 1432817664 1439432704 1501283328 1522368768 1579204608 1608777728 1677904896 1685651456 1709326336 1782773952 1798045696 1875305472 1883963392 1910423552 1992512064 2001711104 2029825024 2105606144 2117044068 2159149056 2237206528 2377031936 2413166592 2500407296 2528477184 2563989504 2656682752 2697068544 2822725424 2825945088 2865635328 3002566656 3044737536 3158409216 3355809792 3371302912 3418652672 3565547904 3750610944 3767926784 3820847104 3985024128 4003422208 4059650048 4211212288 4234088136 4318298112 4474413056 4754063872 4826333184 5000814592 5056954368 5127979008 5313365504 5394137088 5645450848 5651890176 5731270656 6005133312 6089475072 6316818432 6711619584 6742605824 6837305344 7131095808 7501221888 7535853568 7641694208 7970048256 8006844416 8119300096 8422424576 8468176272 8948826112 9508127744 10001629184 10113908736 10255958016 10626731008 11290901696 11303780352 11462541312 12010266624 12178950144 12633636864 13423239168 13674610688 14262191616 15002443776 15283388416 15940096512 16013688832 16238600192 16936352544 17897652224 19016255488 20003258368 20227817472 20511916032 21253462016 22581803392 22607560704 22925082624 24020533248 24357900288 25267273728 26846478336 27349221376 28524383232 30004887552 30566776832 31880193024 32027377664 32477200384 33872705088 35795304448 38032510976 40006516736 41023832064 42506924032 45163606784 45850165248 48041066496 48715800576 53692956672 57048766464 60009775104 63760386048 64054755328 64954400768 67745410176 71590608896 76065021952 80013033472 82047664128 85013848064 90327213568 91700330496 96082132992 97431601152 107385913344 114097532928 120019550208 127520772096 128109510656 129908801536 135490820352 143181217792 152130043904 160026066944 170027696128 180654427136 192164265984 194863202304 214771826688 228195065856 240039100416 255041544192 259817603072 270981640704 304260087808 340055392256 361308854272 384328531968 389726404608 429543653376 456390131712 480078200832 510083088384 519635206144 541963281408 608520175616 680110784512 722617708544 779452809216 912780263424 1020166176768 1083926562816 1217040351232 1360221569024 1445235417088 1558905618432 1825560526848 2040332353536 2167853125632 2434080702464 2720443138048 2890470834176 3651121053696 4080664707072 4335706251264 5780941668352 7302242107392 8161329414144 8671412502528 11561883336704 17342825005056 23123766673408 34685650010112 46247533346816 69371300020224 138742600040448
- Sum of all divisors σ(n): 419516002497600
- Sum of proper divisors (its aliquot sum) s(n): 280773402457152
- 138742600040448 is an abundant number, because the sum of its proper divisors (280773402457152) is greater than itself. Its abundance is 142030802416704
Bases of 138742600040448
- Binary: 111111000101111100001110110010000000000000000002
- Hexadecimal: 0x7E2F87640000
- Base-36: 1D6HGXU3UO
Squares and roots of 138742600040448
- 138742600040448 squared (1387426000404482) is 19249509065983721371236040704
- 138742600040448 cubed (1387426000404483) is 2670726937316757203421763063002545774395392
-
The
square root of 138742600040448 is 11778904.8744120519 -
The
cube root of 138742600040448 is 51769.0199065951
Scales and comparisons
How big is 138742600040448?- 138,742,600,040,448 seconds is equal to 4,411,585 years, 27 weeks, 1 day, 2 hours, 20 minutes, 48 seconds.
-
To count from 1 to 138,742,600,040,448 would take you about eleven million, twenty-eight thousand, nine hundred sixty-three 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 138742600040448 cubic inches would be around 4314.1 feet tall.
Recreational maths with 138742600040448
- 138742600040448 backwards is 844040006247831
- 138742600040448 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138742600040448's digits is 51
- More coming soon!
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The information we have on file for 138742600040448 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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