138133508988096
138,133,508,988,096 is an even composite number composed of four prime numbers multiplied together.
What does the number 138133508988096 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 924 divisors.
138133508988096 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred twenty-four divisors.
Prime factorization of 138133508988096:
26 × 310 × 193 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 19 × 73 × 73)See below for interesting mathematical facts about the number 138133508988096 from the Numbermatics database.
Names of 138133508988096
- Cardinal: 138133508988096 can be written as One hundred thirty-eight trillion, one hundred thirty-three billion, five hundred eight million, nine hundred eighty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 1.38133508988096 × 1014
Factors of 138133508988096
Divisors of 138133508988096
- Number of divisors d(n): 924
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 73 76 81 96 108 114 144 146 152 162 171 192 216 219 228 243 288 292 304 324 342 361 432 438 456 486 513 576 584 608 648 657 684 722 729 864 876 912 972 1026 1083 1168 1216 1296 1314 1368 1387 1444 1458 1539 1728 1752 1824 1944 1971 2052 2166 2187 2336 2592 2628 2736 2774 2888 2916 3078 3249 3504 3648 3888 3942 4104 4161 4332 4374 4617 4672 5184 5256 5329 5472 5548 5776 5832 5913 6156 6498 6561 6859 7008 7776 7884 8208 8322 8664 8748 9234 9747 10512 10658 10944 11096 11552 11664 11826 12312 12483 12996 13122 13718 13851 14016 15552 15768 15987 16416 16644 17328 17496 17739 18468 19494 19683 20577 21024 21316 22192 23104 23328 23652 24624 24966 25992 26244 26353 27436 27702 29241 31536 31974 32832 33288 34656 34992 35478 36936 37449 38988 39366 41154 41553 42048 42632 44384 46656 47304 47961 49248 49932 51984 52488 52706 53217 54872 55404 58482 59049 61731 63072 63948 66576 69312 69984 70956 73872 74898 77976 78732 79059 82308 83106 85264 87723 88768 94608 95922 98496 99864 101251 103968 104976 105412 106434 109744 110808 112347 116964 118098 123462 124659 126144 127896 133152 139968 141912 143883 147744 149796 155952 157464 158118 159651 164616 166212 170528 175446 185193 189216 191844 199728 202502 207936 209952 210824 212868 219488 221616 224694 233928 236196 237177 246924 249318 255792 263169 266304 283824 287766 295488 299592 303753 311904 314928 316236 319302 329232 332424 337041 341056 350892 370386 373977 378432 383688 399456 405004 419904 421648 425736 431649 438976 443232 449388 467856 472392 474354 478953 493848 498636 500707 511584 526338 555579 567648 575532 599184 607506 623808 629856 632472 638604 658464 664848 674082 701784 711531 740772 747954 767376 789507 798912 810008 843296 851472 863298 886464 898776 911259 935712 944784 948708 957906 987696 997272 1001414 1011123 1023168 1052676 1111158 1121931 1135296 1151064 1198368 1215012 1259712 1264944 1277208 1294947 1316928 1329696 1348164 1403568 1423062 1436859 1481544 1495908 1502121 1534752 1579014 1620016 1666737 1686592 1702944 1726596 1797552 1822518 1871424 1889568 1897416 1915812 1923769 1975392 1994544 2002828 2022246 2105352 2134593 2222316 2243862 2302128 2368521 2396736 2430024 2529888 2554416 2589894 2659392 2696328 2733777 2807136 2846124 2873718 2963088 2991816 3004242 3033369 3069504 3158028 3240032 3333474 3405888 3453192 3595104 3645036 3779136 3794832 3831624 3847538 3884841 3950784 3989088 4005656 4044492 4210704 4269186 4310577 4444632 4487724 4506363 4604256 4737042 4860048 5000211 5059776 5108832 5179788 5392656 5467554 5614272 5692248 5747436 5771307 5926176 5983632 6008484 6066738 6316056 6403779 6480064 6666948 6906384 7105563 7190208 7290072 7589664 7663248 7695076 7769682 7978176 8011312 8088984 8201331 8421408 8538372 8621154 8889264 8975448 9012726 9100107 9208512 9474084 9720096 10000422 10217664 10359576 10785312 10935108 11384496 11494872 11542614 11654523 11852352 11967264 12016968 12133476 12632112 12807558 13333896 13519089 13812768 14211126 14580144 15000633 15179328 15326496 15390152 15539364 16022624 16177968 16402662 16842816 17076744 17242308 17313921 17778528 17950896 18025452 18200214 18948168 19211337 19440192 20000844 20719152 21316689 21570624 21870216 22768992 22989744 23085228 23309046 23934528 24033936 24266952 24603993 25264224 25615116 26667792 27038178 27300321 27625536 28422252 29160288 30001266 30652992 30780304 31078728 32045248 32355936 32805324 34153488 34484616 34627842 34963569 35557056 35901792 36050904 36400428 36551611 37896336 38422674 40001688 40557267 41438304 42633378 43740432 45001899 45537984 45979488 46170456 46618092 48067872 48533904 49207986 50528448 51230232 51941763 53335584 54076356 54600642 56844504 57634011 58320576 60002532 61560608 62157456 64711872 65610648 68306976 68969232 69255684 69927138 71803584 72101808 72800856 73103222 73811979 75792672 76845348 80003376 81114534 81900963 82876608 85266756 87480864 90003798 91958976 92340912 93236184 96135744 97067808 98415972 102460464 103883526 104890707 106671168 108152712 109201284 109654833 113689008 115268022 120005064 121671801 123121216 124314912 131221296 135005697 136613952 137938464 138511368 139854276 144203616 145601712 146206444 147623958 151585344 153690696 155825289 160006752 162229068 163801926 170533512 172902033 174961728 180007596 184681824 186472368 194135616 196831944 204920928 207767052 209781414 216305424 218402568 219309666 221435937 227378016 230536044 240010128 243343602 248629824 262442592 270011394 275876928 277022736 279708552 288407232 291203424 292412888 295247916 307381392 311650578 314672121 320013504 324458136 327603852 328964499 341067024 345804066 360015192 365015403 369363648 372944736 393663888 405017091 409841856 415534104 419562828 432610848 436805136 438619332 442871874 454756032 461072088 467475867 480020256 486687204 518706099 524885184 540022788 554045472 559417104 582406848 584825776 590495832 614762784 623301156 629344242 648916272 655207704 657928998 664307811 682134048 691608132 720030384 730030806 745889472 787327776 810034182 831068208 839125656 865221696 873610272 877238664 885743748 922144176 934951734 960040512 973374408 986893497 1037412198 1080045576 1095046209 1108090944 1118834208 1169651552 1180991664 1229525568 1246602312 1258688484 1297832544 1310415408 1315857996 1328615622 1364268096 1383216264 1402427601 1440060768 1460061612 1556118297 1574655552 1620068364 1662136416 1678251312 1747220544 1754477328 1771487496 1844288352 1869903468 1946748816 1973786994 1992923433 2074824396 2160091152 2190092418 2237668416 2339303104 2361983328 2493204624 2517376968 2595665088 2620830816 2631715992 2657231244 2766432528 2804855202 2880121536 2920123224 2960680491 3112236594 3240136728 3285138627 3324272832 3356502624 3508954656 3542974992 3688576704 3739806936 3893497632 3947573988 3985846866 4149648792 4207282803 4320182304 4380184836 4723966656 4986409248 5034753936 5241661632 5263431984 5314462488 5532865056 5609710404 5840246448 5921360982 5978770299 6224473188 6480273456 6570277254 6713005248 7017909312 7085949984 7479613872 7786995264 7895147976 7971693732 8299297584 8414565606 8640364608 8760369672 8882041473 9855415881 9972818496 10069507872 10526863968 10628924976 11065730112 11219420808 11680492896 11842721964 11957540598 12448946376 12621848409 12960546912 13140554508 14171899968 14959227744 15790295952 15943387464 16598595168 16829131212 17520739344 17764082946 19710831762 20139015744 21053727936 21257849952 22438841616 23360985792 23685443928 23915081196 24897892752 25243696818 25921093824 26281109016 26646124419 29566247643 29918455488 31580591904 31886774928 33197190336 33658262424 35041478688 35528165892 37865545227 39421663524 42515699904 44877683232 47370887856 47830162392 49795785504 50487393636 52562218032 53292248838 59132495286 63161183808 63773549856 67316524848 70082957376 71056331784 75731090454 78843327048 79938373257 89755366464 94741775712 95660324784 99591571008 100974787272 105124436064 106584497676 113596635681 118264990572 127547099712 134633049696 142112663568 151462180908 157686654096 159876746514 189483551424 191320649568 201949574544 210248872128 213168995352 227193271362 236529981144 239815119771 269266099392 284225327136 302924361816 315373308192 319753493028 382641299136 403899149088 426337990704 454386542724 473059962288 479630239542 568450654272 605848723632 630746616384 639506986056 719445359313 807798298176 852675981408 908773085448 946119924576 959260479084 1211697447264 1279013972112 1438890718626 1705351962816 1817546170896 1892239849152 1918520958168 2158336077939 2423394894528 2558027944224 2877781437252 3635092341792 3837041916336 4316672155878 5116055888448 5755562874504 7270184683584 7674083832672 8633344311756 11511125749008 15348167665344 17266688623512 23022251498016 34533377247024 46044502996032 69066754494048 138133508988096
- Sum of all divisors σ(n): 440026274322120
- Sum of proper divisors (its aliquot sum) s(n): 301892765334024
- 138133508988096 is an abundant number, because the sum of its proper divisors (301892765334024) is greater than itself. Its abundance is 163759256345928
Bases of 138133508988096
- Binary: 111110110100001101101101011110000011100110000002
- Hexadecimal: 0x7DA1B6BC1CC0
- Base-36: 1CYPNOR000
Squares and roots of 138133508988096
- 138133508988096 squared (1381335089880962) is 19080866305364398417869705216
- 138133508988096 cubed (1381335089880963) is 2635707017292711244635332887515361973108736
-
The
square root of 138133508988096 is 11753021.2706391373 -
The
cube root of 138133508988096 is 51693.1520707469
Scales and comparisons
How big is 138133508988096?- 138,133,508,988,096 seconds is equal to 4,392,218 years, 16 weeks, 1 day, 3 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,133,508,988,096 would take you about ten million, nine hundred eighty thousand, five hundred forty-five 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 138133508988096 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138133508988096
- 138133508988096 backwards is 690889805331831
- 138133508988096 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138133508988096's digits is 72
- More coming soon!
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The information we have on file for 138133508988096 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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