138385865637650664
138,385,865,637,650,664 is an even composite number composed of five prime numbers multiplied together.
What does the number 138385865637650664 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
138385865637650664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138385865637650664:
23 × 32 × 113 × 893 × 1273
(2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 89 × 89 × 89 × 127 × 127 × 127)See below for interesting mathematical facts about the number 138385865637650664 from the Numbermatics database.
Names of 138385865637650664
- Cardinal: 138385865637650664 can be written as One hundred thirty-eight quadrillion, three hundred eighty-five trillion, eight hundred sixty-five billion, six hundred thirty-seven million, six hundred fifty thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.38385865637650664 × 1017
Factors of 138385865637650664
Divisors of 138385865637650664
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 89 99 121 127 132 178 198 242 254 264 267 356 363 381 396 484 508 534 712 726 762 792 801 968 979 1016 1068 1089 1143 1331 1397 1452 1524 1602 1958 2136 2178 2286 2662 2794 2904 2937 3048 3204 3916 3993 4191 4356 4572 5324 5588 5874 6408 7832 7921 7986 8382 8712 8811 9144 10648 10769 11176 11303 11748 11979 12573 15367 15842 15972 16129 16764 17622 21538 22606 23496 23763 23958 25146 30734 31684 31944 32258 32307 33528 33909 35244 43076 45212 46101 47526 47916 48387 50292 61468 63368 64516 64614 67818 70488 71289 86152 87131 90424 92202 95052 95832 96774 96921 100584 101727 118459 122936 124333 129032 129228 135636 138303 142578 145161 169037 174262 177419 184404 190104 193548 193842 203454 236918 248666 258456 261393 271272 276606 285156 290322 338074 348524 354838 355377 368808 372999 387096 387684 406908 473836 497332 507111 522786 532257 553212 570312 580644 676148 697048 704969 709676 710754 745998 775368 784179 813816 947672 958441 994664 1005967 1014222 1045572 1064514 1066131 1106424 1118997 1161288 1352296 1367663 1409938 1419352 1421508 1435481 1491996 1521333 1568358 1596771 1916882 1951609 2011934 2028444 2048383 2091144 2114907 2129028 2132262 2237994 2735326 2819876 2843016 2870962 2875323 2983992 3017901 3042666 3136716 3193542 3833764 3903218 4023868 4056888 4096766 4102989 4229814 4258056 4264524 4306443 4475988 5470652 5639752 5741924 5750646 5854827 6035802 6085332 6145149 6273432 6344721 6387084 7667528 7754659 7806436 8047736 8193532 8205978 8459628 8529048 8612886 8625969 8951976 9053703 10542851 10941304 11065637 11483848 11501292 11709654 12071604 12170664 12290298 12308967 12689442 12774168 12919329 15044293 15509318 15612872 15790291 16387064 16411956 16919256 17225772 17251938 17564481 18107406 18435447 21085702 21467699 22131274 22532213 23002584 23263977 23419308 24143208 24580596 24617934 25378884 25838658 30088586 31018636 31580582 31628553 32823912 33196911 34451544 34503876 35128962 36214812 36870894 42171404 42935398 44262548 45064426 45132879 46527954 46838616 47370873 49161192 49235868 50757768 51677316 60177172 62037272 63161164 63257106 64403097 66393822 67596639 69007752 69791931 70257924 72429624 73741788 84342808 85301249 85870796 88525096 89531063 90128852 90265758 93055908 94741746 94885659 98471736 99590733 103354632 120354344 121722007 126322328 126514212 127757809 128806194 132787644 135193278 135398637 139583862 140515848 142112619 147483576 170602498 171741592 173693201 179062126 180257704 180531516 182306087 186111816 189483492 189771318 193209291 199181466 202789917 243444014 247854343 253028424 255515618 255903747 257612388 265575288 268593189 270386556 270797274 279167724 284225238 341204996 347386402 358124252 361063032 364612174 365166021 378966984 379542636 383273427 386418582 398362932 405579834 486888028 495708686 511031236 511807494 515224776 521079603 537186378 540773112 541594548 546918261 558335448 568450476 682409992 694772804 716248504 729224348 730332042 743563029 759085272 766546854 767711241 772837164 796725864 805779567 811159668 938313739 973776056 984841693 991417372 1022062472 1023614988 1042159206 1074372756 1083189096 1093836522 1095498063 1136900952 1149820281 1338942077 1389545608 1405335899 1458448696 1460664084 1487126058 1533093708 1535422482 1545674328 1563238809 1611559134 1622319336 1640754783 1876627478 1910625211 1969683386 1982834744 2005366957 2047229976 2084318412 2148745512 2187673044 2190996126 2230689087 2299640562 2677884154 2726397773 2810671798 2814941217 2921328168 2954525079 2974252116 3066187416 3070844964 3126477618 3223118268 3281509566 3753254956 3821250422 3939366772 4010733914 4016826231 4168636824 4216007697 4375346088 4381992252 4461378174 4599281124 5355768308 5452795546 5621343596 5629882434 5731875633 5909050158 5948504232 6016100871 6141689928 6252955236 6446236536 6563019132 7506509912 7642500844 7878733544 8021467828 8033652462 8179193319 8432015394 8444823651 8763984504 8863575237 8922756348 9198562248 10711536616 10833258623 10905591092 11242687192 11259764868 11370445001 11463751266 11818100316 12032201742 12050478693 12505910472 12648023091 13126038264 15285001688 15458694889 16042935656 16067304924 16225241743 16358386638 16864030788 16889647302 17195626899 17727150474 17845512696 18048302613 21666517246 21811182184 22059036527 22519529736 22740890002 22927502532 23636200632 24064403484 24100957386 24537579957 25296046182 30917389778 32134609848 32450483486 32499775869 32716773276 33728061576 33779294604 34111335003 34391253798 35454300948 36096605226 43333034492 44118073054 45481780004 45855005064 46376084667 48128806968 48201914772 48675725229 49075159914 50592092364 61834779556 64900966972 64999551738 65433546552 66177109581 67558589208 68222670006 68782507596 70908601896 72193210452 86666068984 88236146108 90963560008 92752169334 96403829544 97351450458 97499327607 98150319828 101184184728 102334005009 119165844853 123669559112 125074895011 129801933944 129999103476 132354219162 136445340012 137565015192 139128254001 144386420904 146027175687 170045643779 176472292216 178477659173 185504338668 194702900916 194998655214 196300639656 198531328743 204668010018 238331689706 242649401797 250149790022 259998206952 264708438324 272890680024 278256508002 292054351374 340091287558 356955318346 357497534559 371008677336 375224685033 389405801832 389997310428 397062657486 409336020036 476663379412 485298803594 500299580044 510136931337 529416876648 535432977519 556513016004 584108702748 680182575116 713910636692 714995069118 727948205391 750449370066 779994620856 794125314972 818672040072 953326758824 970597607188 1000599160088 1020273862674 1070865955038 1072492603677 1113026032008 1125674055099 1168217405496 1360365150232 1375823845121 1427821273384 1429990138236 1444046515127 1455896410782 1500898740132 1530410794011 1588250629944 1606298932557 1941195214376 1963254250903 2040547725348 2141731910076 2144985207354 2183844616173 2251348110198 2751647690242 2859980276472 2888093030254 2911792821564 3001797480264 3060821588022 3212597865114 3926508501806 4081095450696 4127471535363 4283463820152 4289970414708 4332139545381 4367689232346 4502696220396 5503295380484 5776186060508 5823585643128 5889762752709 6121643176044 6425195730228 7853017003612 8254943070726 8579940829416 8664279090762 8735378464692 9005392440792 11006590760968 11552372121016 11779525505418 12243286352088 12382414606089 12850391460456 12996418636143 15134062296331 15706034007224 15884511666397 16509886141452 17328558181524 17470756929384 17669288258127 21595796759933 23559051010836 24764829212178 25992837272286 30268124592662 31769023332794 33019772282904 34657116363048 35338576516254 43191593519866 45402186888993 47118102021672 47653534999191 49529658424356 51985674544572 60536249185324 63538046665588 64787390279799 70677153032508 86383187039732 90804373777986 95307069998382 99059316848712 103971349089144 121072498370648 127076093331176 129574780559598 136206560666979 141354306065016 142960604997573 172766374079464 174729628330367 181608747555972 190614139996764 194362170839397 259149561119196 272413121333958 285921209995146 349459256660734 363217495111944 381228279993528 388724341678794 518299122238392 524188884991101 544826242667916 571842419990292 698918513321468 777448683357588 1048377769982202 1089652485335832 1143684839980584 1397837026642936 1554897366715176 1572566654973303 1922025911634037 2096755539964404 3145133309946606 3844051823268074 4193511079928808 5766077734902111 6290266619893212 7688103646536148 11532155469804222 12580533239786424 15376207293072296 17298233204706333 23064310939608444 34596466409412666 46128621879216888 69192932818825332 138385865637650664
- Sum of all divisors σ(n): 420239985325056000
- Sum of proper divisors (its aliquot sum) s(n): 281854119687405336
- 138385865637650664 is an abundant number, because the sum of its proper divisors (281854119687405336) is greater than itself. Its abundance is 143468254049754672
Bases of 138385865637650664
- Binary: 1111010111010010100110110001010110100010001100000111010002
- Hexadecimal: 0x1EBA5362B4460E8
- Base-36: 11ULP113HM20
Squares and roots of 138385865637650664
- 138385865637650664 squared (1383858656376506642) is 19150647808281902817527089299640896
- 138385865637650664 cubed (1383858656376506643) is 2650178974470868576230523444442668912238352295954944
-
The
square root of 138385865637650664 is 372002507.5690359695 -
The
cube root of 138385865637650664 is 517246.1239430247
Scales and comparisons
How big is 138385865637650664?- 138,385,865,637,650,664 seconds is equal to 4,400,242,471 years, 35 weeks, 6 days, 44 minutes, 24 seconds.
-
To count from 1 to 138,385,865,637,650,664 would take you about thirteen billion, two hundred million, seven hundred twenty-seven thousand, four hundred fifteen 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 138385865637650664 cubic inches would be around 43103.8 feet tall.
Recreational maths with 138385865637650664
- 138385865637650664 backwards is 466056736568583831
- The number of decimal digits it has is: 18
- The sum of 138385865637650664's digits is 90
- More coming soon!
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The information we have on file for 138385865637650664 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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