137948680065400732
137,948,680,065,400,732 is an even composite number composed of five prime numbers multiplied together.
What does the number 137948680065400732 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
137948680065400732 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 137948680065400732:
22 × 114 × 233 × 413 × 532
(2 × 2 × 11 × 11 × 11 × 11 × 23 × 23 × 23 × 41 × 41 × 41 × 53 × 53)See below for interesting mathematical facts about the number 137948680065400732 from the Numbermatics database.
Names of 137948680065400732
- Cardinal: 137948680065400732 can be written as One hundred thirty-seven quadrillion, nine hundred forty-eight trillion, six hundred eighty billion, sixty-five million, four hundred thousand, seven hundred thirty-two.
Scientific notation
- Scientific notation: 1.37948680065400732 × 1017
Factors of 137948680065400732
Divisors of 137948680065400732
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 11 22 23 41 44 46 53 82 92 106 121 164 212 242 253 451 484 506 529 583 902 943 1012 1058 1166 1219 1331 1681 1804 1886 2116 2173 2332 2438 2662 2783 2809 3362 3772 4346 4876 4961 5324 5566 5618 5819 6413 6724 8692 9922 10373 11132 11236 11638 12167 12826 13409 14641 18491 19844 20746 21689 23276 23903 24334 25652 26818 28037 29282 30613 30899 36982 38663 41492 43378 47806 48668 49979 53636 54571 56074 58564 61226 61798 64009 64607 68921 70543 73964 77326 86756 89093 95612 99958 109142 112148 114103 115169 122452 123596 128018 129214 133837 137842 141086 147499 154652 178186 199916 203401 218284 228206 230338 238579 256036 258428 262933 267674 275684 282172 294998 308407 336743 339889 356372 406802 425293 456412 460676 477158 498847 525866 535348 549769 589996 600281 616814 644851 673486 679778 704099 710677 758131 775973 813604 850586 889249 954316 980023 997694 1051732 1099538 1149517 1200562 1233628 1255133 1266859 1289702 1346972 1359556 1408198 1421354 1472207 1485961 1516262 1551946 1585183 1622489 1701172 1778498 1960046 1995388 2049139 2199076 2237411 2299034 2401124 2510266 2533718 2579404 2624369 2648887 2816396 2842708 2892263 2944414 2971922 3032524 3103892 3170366 3244978 3392477 3556996 3652813 3738779 3920092 4098278 4474822 4598068 4678223 4721929 5020532 5067436 5248738 5297774 5487317 5784526 5888828 5943844 6047459 6340732 6489956 6784954 7093361 7305626 7477558 7745089 7817447 8196556 8339441 8949644 9356446 9443858 9781739 10497476 10595548 10780253 10974634 11569052 12094918 12644687 13569908 13806463 13935449 14186722 14611252 14955116 15490178 15634894 16194277 16345571 16678882 17437013 17847379 18712892 18887716 19563478 20452727 21560506 21949268 22540529 24189836 24611521 25289374 26438891 27612926 27870898 28373444 28868059 29137757 30980356 31269788 31814893 32388554 32691142 33357764 34177103 34874026 35694758 36459209 37317247 39126956 40180943 40905454 41126569 43121012 45081058 47130197 49223042 50578748 51460453 51941219 52877782 55225852 55741796 57736118 58275514 60360487 60924401 63629786 64777108 65382284 66522049 68354206 69748052 71389516 72918418 74634494 78026971 80361886 81810908 82253138 84014699 85991917 90162116 91733851 94260394 98446084 102920906 103882438 105755564 107599129 108604367 115472236 116551028 118582783 120720974 121848802 127259572 133044098 136708412 139091557 145836836 149268988 153289939 156053942 160723772 164506276 168029398 171983834 178137047 179801281 183467702 188520788 191807143 193599089 205841812 207764876 215198258 217208734 224979997 237165566 241441948 243697604 247945819 266088196 278183114 290827801 306579878 312107884 317548649 320515327 336058796 343967668 356274094 359602562 366935404 375948133 383614286 387198178 401051299 410489717 430396516 434417468 441990373 449959994 474331132 495891638 518432167 556366228 566064983 571353409 581655602 613159756 635097298 641030654 663965357 670168411 712548188 719205124 731742539 751896266 767228572 774396356 802102598 820979434 838561807 858296681 883980746 899919988 924161689 945911087 991783276 1009072361 1036864334 1083994531 1132129966 1142706818 1163311204 1183590419 1194648037 1270194596 1282061308 1304410613 1327930714 1340336822 1401261223 1463485078 1503792532 1530007127 1604205196 1641958868 1677123614 1686189329 1716593362 1767961492 1848323378 1891822174 1932338077 1977814091 2018144722 2073728668 2109878573 2129589979 2167989062 2264259932 2285413636 2367180838 2389296074 2474779967 2497900441 2608821226 2655861428 2680673644 2727404009 2802522446 2926970156 3060014254 3199105811 3354247228 3372378658 3433186724 3525668597 3696646756 3783644348 3864676154 3955628182 4036289444 4135429463 4219757146 4259179958 4335978124 4411564289 4452779047 4734361676 4778592148 4861894103 4949559934 4995800882 5217642452 5454808018 5605044892 5702753837 6120028508 6284887499 6398211622 6744757316 7051337194 7303618927 7371852521 7729352308 7911256364 8270858926 8439514292 8518359916 8823128578 8905558094 9224179877 9441263491 9723788206 9899119868 9991601764 10165778579 10909616036 11405507674 11923939841 12569774998 12796423244 13019494609 13141128407 14102674388 14607237854 14743705042 15413873453 16541717852 16830078397 17646257156 17811116188 18448359754 18882526982 19447576412 20331557158 21255718847 21755955001 22811015348 23208664303 23425489769 23847879682 25139549996 26038989218 26282256814 27222579637 27476904851 29214475708 29487410084 30001444099 30827746906 33660156794 35190163921 36896719508 37765053964 38782354567 40663114316 42511437694 43511910002 44443775771 45489724093 46417328606 46850979538 47695759364 48527207179 48980569517 52077978436 52564513628 53480835133 54445159274 54953809702 57451710143 60002888198 61655493812 62730292207 67320313588 69133762489 70380327842 77564709134 81090377731 85022875388 87023820004 88887551542 90979448186 92834657212 93701959076 97054414358 97961139034 101465978647 102413918081 106961670266 108890318548 109907619404 111823564369 114903420286 120005776396 125460584414 131163338251 138267524978 140760655684 144552412477 155129418268 162180755462 169552607983 177775103084 181958896372 194108828716 195922278068 202931957294 204827836162 213923340532 223647128738 229806840572 233812907317 250921168828 257680387459 262326676502 276535049956 289104824954 299448376007 302245953361 324361510924 339105215966 387091803131 405863914588 409655672324 447294257476 467625814634 488881533481 500386965023 515360774918 524653353004 533799278969 538786264687 578209649908 598896752014 604491906722 631968811573 678210431932 690033214277 774183606262 891994155041 935251629268 977763066962 1000773930046 1030721549836 1067598557938 1077572529374 1116125765117 1126553098891 1197793504028 1208983813444 1230059208059 1263937623146 1380066428554 1442796720761 1548367212524 1590076537247 1783988310082 1865078687813 1955526133924 2001547860092 2135197115876 2155145058748 2232251530234 2253106197782 2355520115863 2460118416118 2527875246292 2571941980487 2760132857108 2834484262049 2885593441522 3180153074494 3324705486971 3567976620164 3730157375626 4464503060468 4506212395564 4711040231726 4920236832236 5143883960974 5377696868291 5668968524098 5771186883044 5926648911557 6360306148988 6649410973942 6951656927303 7460314751252 9422080463452 10287767921948 10755393736582 11337937048196 11853297823114 12277383416287 12392084087801 13298821947884 13903313854606 15870763928371 20515865565943 21510787473164 23706595646228 24554766832574 24784168175602 25910721274493 27806627709212 28291361785357 31741527856742 36571760356681 41031731131886 49109533665148 49568336351204 51821442548986 56582723570714 59154665551201 63483055713484 65193138027127 73143520713362 76468226200333 82063462263772 103642885097972 113165447141428 118309331102402 130386276054254 136312924965811 146287041426724 152936452400666 236618662204804 260772552108508 272625849931622 285017934019423 305872904801332 545251699863244 570035868038846 650701321063211 841150488203663 1140071736077692 1301402642126422 1499442174623921 1682300976407326 2602805284252844 2998884349247842 3135197274213653 3364601952814652 5997768698495684 6270394548427306 12540789096854612 34487170016350183 68974340032700366 137948680065400732
- Sum of all divisors σ(n): 290029724707262400
- Sum of proper divisors (its aliquot sum) s(n): 152081044641861668
- 137948680065400732 is an abundant number, because the sum of its proper divisors (152081044641861668) is greater than itself. Its abundance is 14132364576460936
Bases of 137948680065400732
- Binary: 1111010100001011110010111111110001000100000111111100111002
- Hexadecimal: 0x1EA1797F8883F9C
- Base-36: 11QAQ4R1KGWS
Squares and roots of 137948680065400732
- 137948680065400732 squared (1379486800654007322) is 19029838331786289305144775746135824
- 137948680065400732 cubed (1379486800654007323) is 2625141079727886008483321211195691721285449061023168
-
The
square root of 137948680065400732 is 371414431.6870316929 -
The
cube root of 137948680065400732 is 516700.8584964131
Scales and comparisons
How big is 137948680065400732?- 137,948,680,065,400,732 seconds is equal to 4,386,341,322 years, 41 weeks, 2 days, 16 hours, 38 minutes, 52 seconds.
-
To count from 1 to 137,948,680,065,400,732 would take you about thirteen billion, one hundred fifty-nine million, twenty-three thousand, nine hundred sixty-eight 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 137948680065400732 cubic inches would be around 43058.4 feet tall.
Recreational maths with 137948680065400732
- 137948680065400732 backwards is 237004560086849731
- The number of decimal digits it has is: 18
- The sum of 137948680065400732's digits is 73
- More coming soon!
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The information we have on file for 137948680065400732 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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