137668269109952
137,668,269,109,952 is an even composite number composed of six prime numbers multiplied together.
137668269109952 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 137668269109952:
26 × 73 × 173 × 19 × 232 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 17 × 17 × 17 × 19 × 23 × 23 × 127)See below for interesting mathematical facts about the number 137668269109952 from the Numbermatics database.
Names of 137668269109952
- Cardinal: 137668269109952 can be written as One hundred thirty-seven trillion, six hundred sixty-eight billion, two hundred sixty-nine million, one hundred nine thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.37668269109952 × 1014
Factors of 137668269109952
Divisors of 137668269109952
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 7 8 14 16 17 19 23 28 32 34 38 46 49 56 64 68 76 92 98 112 119 127 133 136 152 161 184 196 224 238 254 266 272 289 304 322 323 343 368 391 392 437 448 476 508 529 532 544 578 608 644 646 686 736 782 784 833 874 889 931 952 1016 1058 1064 1088 1127 1156 1216 1288 1292 1372 1472 1564 1568 1666 1748 1778 1862 1904 2023 2032 2116 2128 2159 2254 2261 2312 2413 2576 2584 2737 2744 2921 3059 3128 3136 3332 3496 3556 3703 3724 3808 4046 4064 4232 4256 4318 4508 4522 4624 4826 4913 5152 5168 5474 5488 5491 5831 5842 6118 6223 6256 6517 6647 6664 6992 7112 7406 7429 7448 7616 7889 8092 8128 8464 8512 8636 8993 9016 9044 9248 9652 9826 10051 10304 10336 10948 10976 10982 11662 11684 12236 12446 12512 13034 13294 13328 13984 14161 14224 14812 14858 14896 15113 15778 15827 16184 16891 16928 17272 17986 18032 18088 18496 19159 19304 19652 20102 20447 20672 21413 21896 21952 21964 23324 23368 24472 24892 25024 25921 26068 26588 26656 27968 28322 28448 29624 29716 29792 30226 31556 31654 32368 33782 33856 34391 34544 35972 36064 36176 36703 38318 38437 38608 39304 40204 40894 41021 42826 43561 43792 43928 46529 46648 46736 48944 49657 49784 51842 52003 52136 53176 53312 55499 56644 56896 59248 59432 59584 60452 62951 63112 63308 64736 67183 67564 68782 69088 70357 71944 72128 72352 73406 76636 76874 77216 78608 80408 81788 82042 85652 87122 87584 87856 93058 93296 93347 93472 97888 99127 99314 99568 103684 104006 104272 105791 106352 110789 110998 112999 113288 118237 118496 118864 120904 125902 126224 126293 126616 129472 134113 134366 135128 137564 138176 140714 143129 143888 144704 146812 149891 152881 153272 153748 154432 157216 160816 163576 164084 170867 171304 174244 175168 175712 181447 186116 186592 186694 186944 195776 198254 198628 199136 207368 208012 208544 211582 212704 221578 221996 225998 226576 236474 236992 237728 240737 241808 251804 252448 252586 253232 256921 268226 268732 269059 270256 275128 281428 286258 287147 287776 293624 299782 305762 306544 307496 314432 321632 325703 327152 328168 341734 342608 347599 348488 351424 362894 364021 372232 373184 373388 388493 396508 397256 398272 414736 416024 417088 423164 425408 440657 443156 443992 451996 453152 470281 472948 475456 481474 483616 492499 503608 504896 505172 506464 513842 536452 537464 538118 540512 550256 562856 572516 574294 575552 587248 599564 611524 613088 614992 623951 643264 651406 653429 654304 656336 683468 685216 695198 696976 697357 725788 728042 740537 744464 746776 776986 790993 793016 794512 827659 829472 832048 844169 846328 881314 884051 886312 887984 903992 906304 940562 943483 945896 962948 967232 984998 1001903 1007216 1010344 1012928 1027684 1070167 1072904 1074928 1076236 1081024 1100512 1125712 1142111 1145032 1148588 1174496 1196069 1199128 1223048 1226176 1229984 1247902 1276477 1302812 1306858 1308608 1312672 1366936 1370432 1390396 1393952 1394714 1451576 1456084 1481074 1488928 1493552 1553972 1581986 1586032 1589024 1655318 1658944 1664096 1685159 1688338 1692656 1762628 1768102 1772624 1775968 1798447 1807984 1881124 1883413 1886966 1891792 1925896 1969996 2003806 2010029 2014432 2020688 2055368 2140334 2145808 2146981 2149856 2152472 2201024 2251424 2279921 2284222 2290064 2297176 2348992 2392138 2398256 2433193 2446096 2459968 2495804 2548147 2552954 2598977 2605624 2613716 2625344 2719451 2733872 2780792 2787904 2789428 2903152 2904739 2912168 2962148 2977856 2987104 3084599 3107944 3163972 3172064 3178048 3291967 3310636 3328192 3370318 3376676 3385312 3447493 3525256 3536204 3545248 3551936 3596894 3615968 3762248 3766826 3773932 3783584 3851792 3939992 4007612 4020058 4028864 4041376 4110736 4280668 4291616 4293962 4299712 4304944 4367657 4502848 4559842 4568444 4574003 4580128 4594352 4784276 4796512 4866386 4881499 4892192 4991608 5096294 5105908 5197954 5211248 5227432 5438902 5467744 5536951 5561584 5578856 5806304 5809478 5824336 5909183 5924296 5974208 6169198 6188357 6215888 6327944 6344128 6583934 6604381 6621272 6740636 6753352 6770624 6894986 7050512 7072408 7090496 7193788 7231936 7491169 7524496 7533652 7547864 7567168 7703584 7879984 7994777 8015224 8040116 8082752 8221472 8372483 8561336 8583232 8587924 8609888 8735314 8935339 9119684 9136888 9148006 9160256 9188704 9568552 9593024 9732772 9762998 9784384 9983216 10192588 10211816 10395908 10422496 10454864 10877804 10935488 11073902 11123168 11157712 11612608 11618956 11648672 11818366 11848592 11855069 12338396 12376714 12431776 12589129 12655888 13167868 13208762 13242544 13481272 13506704 13789972 14070203 14101024 14144816 14350873 14387576 14982338 15028867 15048992 15067304 15095728 15407168 15759968 15989554 16030448 16039211 16080232 16442944 16744966 17032351 17122672 17175848 17219776 17470628 17870678 18192839 18239368 18273776 18296012 18377408 19036157 19137104 19415887 19465544 19525996 19966432 20333173 20385176 20423632 20791816 20844992 20909728 21700109 21755608 22147804 22246336 22315424 23043769 23237912 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77862176 78103984 81332692 81540704 81694528 82728562 82985483 83167264 86636998 86800436 87022432 88591216 92175076 92461334 92951648 94546928 94840552 98707168 98761126 99013712 100456111 100713032 104876366 105202069 105342944 105670096 107850176 110319776 111926878 112274477 112561624 114806984 115100608 117214762 119858704 120230936 120538432 122294396 125094746 127349873 127916432 128072084 128313688 128641856 133959728 135911209 136258808 136681972 137406784 139765024 142332211 142965424 145542712 145914944 146368096 151900763 152289256 155034628 155327096 155724352 156207968 162665384 163081408 165457124 165970966 166334528 173273996 173600872 174044864 177182432 184350152 184922668 185903296 189093856 189681104 197414336 197522252 198027424 200912222 201426064 209752732 210404138 210685888 211340192 214015193 220639552 223853756 224548954 225123248 229613968 234429524 239193451 239717408 240461872 244588792 250189492 254699746 255832864 256144168 256627376 267919456 271822418 272517616 272666587 273363944 279530048 284664422 285930848 289549967 291085424 292736192 303801526 304578512 310069256 310654192 312415936 323614669 325330768 330070079 330914248 331941932 345663941 346547992 347201744 354364864 368700304 368901853 369845336 378187712 379362208 391744073 395044504 396054848 401824444 402852128 419505464 420808276 422680384 428030386 437831611 447707512 449097908 450246496 459227936 468859048 478386902 479434816 480923744 489177584 500378984 509399492 511665728 512288336 513254752 535838912 543644836 545035232 545333174 546727888 569328844 571861696 579099934 580898381 582170848 607603052 609157024 620138512 621308384 647229338 650661536 660140158 661828496 663883864 691327882 693095984 694403488 703192777 736414483 737400608 737803706 739690672 758724416 783488146 785921339 790089008 803648888 805704256 839010928 841616552 856060772 875663222 891449111 895415024 898195816 900492992 918455872 937718096 951378463 956773804 961847488 978355168 996325477 1000757968 1018798984 1024576672 1026509504 1063305341 1087289672 1090070464 1090666348 1093455776 1138657688 1158199868 1161796762 1164341696 1215206104 1218314048 1240277024 1242616768 1294458676 1301323072 1320280316 1323656992 1327767728 1382655764 1386191968 1388806976 1406385554 1472828966 1474801216 1475607412 1479381344 1566976292 1571842678 1580178016 1607297776 1678021856 1683233104 1712121544 1751326444 1782898222 1790830048 1796391632 1875436192 1902756926 1908666109 1913547608 1956710336 1992650954 2001515936 2037597968 2049153344 2126610682 2174579344 2181332696 2186911552 2277315376 2310490553 2316399736 2323593524 2419647587 2430412208 2480554048 2582312971 2588917352 2640560632 2647313984 2655535456 2765311528 2772383936 2812771108 2945657932 2951214824 2958762688 3133952584 3143685356 3160356032 3214595552 3356043712 3366466208 3424243088 3502652888 3565796444 3581660096 3592783264 3750872384 3805513852 3817332218 3827095216 3985301908 4003031872 4066288667 4075195936 4253221364 4349158688 4362665392 4554630752 4620981106 4632799472 4647187048 4839295174 4860824416 4922349439 5164625942 5177834704 5281121264 5311070912 5501449373 5530623056 5625542216 5891315864 5902429648 6267905168 6271331501 6287370712 6429191104 6659649241 6732932416 6848486176 7005305776 7131592888 7185566528 7443137387 7611027704 7634664436 7654190432 7970603816 8132577334 8150391872 8506442728 8698317376 8725330784 9109261504 9241962212 9265598944 9294374096 9678590348 9721648832 9844698878 10329251884 10355669408 10562242528 11002898746 11061246112 11251084432 11782631728 11804859296 12535810336 12542663002 12574741424 13319298482 13360662763 13696972352 14010611552 14263185776 14886274774 15222055408 15269328872 15308380864 15941207632 16173433871 16265154668 16937533109 17012885456 17450661568 18076190797 18483924424 18531197888 18588748192 19357180696 19689397756 20658503768 20711338816 21124485056 22005797492 22122492224 22502168864 23565263456 23609718592 25071620672 25085326004 25149482848 26638596964 26721325526 28021223104 28526371552 29772549548 30444110816 30538657744 31882415264 32346867742 32530309336 33875066218 34025770912 36152381594 36967848848 37177496384 38714361392 39378795512 41317007536 43899320507 44011594984 45004337728 47130526912 50170652008 50298965696 53277193928 53442651052 57052743104 59545099096 60888221632 61077315488 63764830528 64693735484 65060618672 67750132436 68051541824 72304763188 73935697696 77428722784 78757591024 82634015072 87798641014 88023189968 93524639341 100341304016 106554387856 106885302104 113214037097 119090198192 122154630976 126533335579 129387470968 130121237344 135500264872 144609526376 147871395392 154857445568 157515182048 165268030144 175597282028 176046379936 187049278682 200682608032 213108775712 213770604208 226428074194 238180396384 253066671158 258774941936 260242474688 271000529744 289219052752 307295243549 315030364096 351194564056 352092759872 374098557364 401365216064 426217551424 427541208416 452856148388 476360792768 506133342316 517549883872 542001059488 578438105504 614590487098 702389128112 748197114728 855082416832 905712296776 1012266684632 1035099767744 1084002118976 1156876211008 1229180974196 1404778256224 1496394229456 1811424593552 2024533369264 2151066704843 2458361948392 2809556512448 2992788458912 3622849187104 4049066738528 4302133409686 4916723896784 5985576917824 7245698374208 8098133477056 8604266819372 9833447793568 17208533638744 19666895587136 34417067277488 68834134554976 137668269109952
- Sum of all divisors σ(n): 375404359680000
- Sum of proper divisors (its aliquot sum) s(n): 237736090570048
- 137668269109952 is an abundant number, because the sum of its proper divisors (237736090570048) is greater than itself. Its abundance is 100067821460096
Bases of 137668269109952
- Binary: 111110100110101011001000100011011110010110000002
- Hexadecimal: 0x7D356446F2C0
- Base-36: 1CSRXGXSJK
Squares and roots of 137668269109952
- 137668269109952 squared (1376682691099522) is 18952552319730164038265442304
- 137668269109952 cubed (1376682691099523) is 2609165073073057262893024200846413688209408
-
The
square root of 137668269109952 is 11733212.2247043669 -
The
cube root of 137668269109952 is 51635.0518391751
Scales and comparisons
How big is 137668269109952?- 137,668,269,109,952 seconds is equal to 4,377,425 years, 6 weeks, 2 days, 7 hours, 52 minutes, 32 seconds.
-
To count from 1 to 137,668,269,109,952 would take you about ten million, nine hundred forty-three thousand, five hundred sixty-two 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 137668269109952 cubic inches would be around 4302.9 feet tall.
Recreational maths with 137668269109952
- 137668269109952 backwards is 259901962866731
- The number of decimal digits it has is: 15
- The sum of 137668269109952's digits is 74
- More coming soon!
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Numbermatics. (2024). Number 137668269109952 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/137668269109952/
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The information we have on file for 137668269109952 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!
Keywords: Divisors of 137668269109952, math, Factors of 137668269109952, curriculum, school, college, exams, university, Prime factorization of 137668269109952, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, six hundred sixty-eight billion, two hundred sixty-nine million, one hundred nine thousand, nine hundred fifty-two.