137311825520961
137,311,825,520,961 is an odd composite number composed of five prime numbers multiplied together.
137311825520961 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137311825520961:
39 × 73 × 13 × 97 × 1272
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 97 × 127 × 127)See below for interesting mathematical facts about the number 137311825520961 from the Numbermatics database.
Names of 137311825520961
- Cardinal: 137311825520961 can be written as One hundred thirty-seven trillion, three hundred eleven billion, eight hundred twenty-five million, five hundred twenty thousand, nine hundred sixty-one.
Scientific notation
- Scientific notation: 1.37311825520961 × 1014
Factors of 137311825520961
Divisors of 137311825520961
- Number of divisors d(n): 480
-
Complete list of divisors:
1 3 7 9 13 21 27 39 49 63 81 91 97 117 127 147 189 243 273 291 343 351 381 441 567 637 679 729 819 873 889 1029 1053 1143 1261 1323 1651 1701 1911 2037 2187 2457 2619 2667 3087 3159 3429 3783 3969 4459 4753 4953 5103 5733 6111 6223 6561 7371 7857 8001 8827 9261 9477 10287 11349 11557 11907 12319 13377 14259 14859 15309 16129 17199 18333 18669 19683 22113 23571 24003 26481 27783 28431 30861 33271 34047 34671 35721 36957 40131 42777 43561 44577 45927 48387 51597 54999 56007 61789 66339 70713 72009 79443 80899 83349 85293 86233 92583 99813 102141 104013 107163 110871 112903 120393 128331 130683 133731 137781 145161 154791 160147 164997 168021 185367 199017 209677 212139 216027 238329 242697 250047 255879 258699 277749 299439 306423 312039 321489 332613 338709 361179 384993 392049 401193 432523 435483 464373 480441 494991 504063 556101 566293 597051 603631 629031 636417 648081 714987 728091 750141 776097 790321 833247 898317 919269 936117 964467 997839 1016127 1083537 1121029 1154979 1176147 1203579 1297569 1306449 1393119 1441323 1467739 1484973 1512189 1564513 1668303 1698879 1791153 1810893 1887093 1909251 1944243 2144961 2184273 2250423 2328291 2370963 2499741 2694951 2757807 2808351 2993517 3048381 3250611 3363087 3464937 3528441 3610737 3892707 3919347 4179357 4225417 4323969 4403217 4454919 4536567 4693539 5004909 5096637 5432679 5532247 5661279 5832729 6434883 6552819 6751269 6984873 7112889 7847203 8084853 8273421 8425053 8980551 9145143 9751833 10089261 10274173 10394811 10585323 10832211 10951591 11678121 11758041 12538071 12676251 12971907 13209651 13364757 13609701 14080617 15014727 15289911 16298037 16596741 16983837 17498187 19304649 19658457 20338669 20954619 21338667 23541609 24254559 24820263 25275159 26941653 27435429 29255499 30267783 30822519 31184433 31755969 32496633 32854773 35034363 35274123 38028753 38915721 39628953 40829103 42241851 45044181 45869733 48894111 49790223 50951511 54930421 57913947 58975371 61016007 62863857 64016001 70624827 71919211 72763677 75825477 76661137 80824959 82306287 87766497 90803349 92467557 93553299 95267907 98564319 105103089 105822369 114086259 116747163 118886859 122487309 126725553 135132543 137609199 142370683 146682333 149370669 152854533 164791263 173741841 176926113 183048021 188591571 192048003 211874481 215757633 218291031 227476431 229983411 242474877 246918861 272410047 277402671 285803721 295692957 315309267 317467107 342258777 350241489 356660577 380176659 405397629 412827597 427112049 440046999 448112007 458563599 494373789 530778339 536627959 549144063 565774713 576144009 635623443 647272899 654873093 689950233 740756583 817230141 832208013 857411163 887078871 945927801 996594781 1026776331 1050724467 1069981731 1140529977 1216192887 1238482791 1281336147 1320140997 1344336021 1375690797 1483121367 1592335017 1609883877 1647432189 1697324139 1728432027 1906870329 1941818697 2069850699 2222269749 2451690423 2496624039 2661236613 2837783403 2989784343 3080328993 3152173401 3209945193 3421589931 3715448373 3844008441 3960422991 4033008063 4127072391 4449364101 4829651631 4942296567 5185296081 5720610987 5825456091 6209552097 6976163467 7355071269 7489872117 7983709839 8513350209 8969353029 9240986979 9629835579 10264769793 11146345119 11532025323 11881268973 12099024189 13348092303 14488954893 14826889701 15555888243 17161832961 17476368273 18628656291 20928490401 22065213807 22469616351 23951129517 26908059087 27722960937 28889506737 30794309379 34596075969 36297072567 40044276909 43466864679 44480669103 51485498883 52429104819 55885968873 62785471203 67408849053 71853388551 80724177261 83168882811 103788227907 108891217701 120132830727 130400594037 133442007309 154456496649 157287314457 167657906619 188356413609 202226547159 215560165653 242172531783 311364683721 360398492181 391201782111 400326021927 471861943371 502973719857 565069240827 726517595349 934094051163 1081195476543 1173605346333 1415585830113 1508921159571 1695207722481 2179552786047 2802282153489 3520816038999 5085623167443 6538658358141 10562448116997 15256869502329 19615975074423 45770608506987 137311825520961
- Sum of all divisors σ(n): 263408451398400
- Sum of proper divisors (its aliquot sum) s(n): 126096625877439
- 137311825520961 is a deficient number, because the sum of its proper divisors (126096625877439) is less than itself. Its deficiency is 11215199643522
Bases of 137311825520961
- Binary: 111110011100010011001101001010101101001010000012
- Hexadecimal: 0x7CE266956941
- Base-36: 1CO86JMN29
Squares and roots of 137311825520961
- 137311825520961 squared (1373118255209612) is 18854537427898836599050363521
- 137311825520961 cubed (1373118255209613) is 2588950953578073841768004495459812255263681
-
The
square root of 137311825520961 is 11718012.8657106791 -
The
cube root of 137311825520961 is 51590.4497179219
Scales and comparisons
How big is 137311825520961?- 137,311,825,520,961 seconds is equal to 4,366,091 years, 16 weeks, 3 days, 19 hours, 49 minutes, 21 seconds.
-
To count from 1 to 137,311,825,520,961 would take you about ten million, nine hundred fifteen thousand, two hundred twenty-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 137311825520961 cubic inches would be around 4299.2 feet tall.
Recreational maths with 137311825520961
- 137311825520961 backwards is 169025528113731
- The number of decimal digits it has is: 15
- The sum of 137311825520961's digits is 54
- More coming soon!
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The information we have on file for 137311825520961 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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