137028196982055225
137,028,196,982,055,225 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 137028196982055225 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
137028196982055225 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 137028196982055225:
3 × 52 × 7 × 113 × 29 × 313 × 613
(3 × 5 × 5 × 7 × 11 × 11 × 11 × 29 × 31 × 31 × 31 × 61 × 61 × 61)See below for interesting mathematical facts about the number 137028196982055225 from the Numbermatics database.
Names of 137028196982055225
- Cardinal: 137028196982055225 can be written as One hundred thirty-seven quadrillion, twenty-eight trillion, one hundred ninety-six billion, nine hundred eighty-two million, fifty-five thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.37028196982055225 × 1017
Factors of 137028196982055225
Divisors of 137028196982055225
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 3 5 7 11 15 21 25 29 31 33 35 55 61 75 77 87 93 105 121 145 155 165 175 183 203 217 231 275 305 319 341 363 385 427 435 465 525 605 609 651 671 725 775 825 847 899 915 957 961 1015 1023 1085 1155 1281 1331 1525 1595 1705 1769 1815 1891 1925 2013 2135 2175 2233 2325 2387 2541 2697 2883 3025 3045 3255 3355 3509 3721 3751 3993 4235 4495 4575 4697 4785 4805 5075 5115 5307 5425 5673 5775 6293 6405 6655 6699 6727 7161 7381 7975 8525 8845 9075 9317 9455 9889 10065 10527 10571 10675 11163 11165 11253 11935 12383 12705 13237 13485 14091 14415 15225 16275 16775 17545 18605 18755 18879 19459 19965 20181 20801 21175 22143 22475 23485 23925 24025 24563 25575 26047 26257 26535 27869 27951 28365 29667 29791 31465 31713 32025 33275 33495 33635 35805 36905 37149 38599 39711 40931 41261 44225 46585 47275 49445 50325 51667 52635 52855 54839 55815 55825 56265 58377 58621 59675 61915 62403 63525 66185 67425 69223 70455 72075 73689 73997 78141 78771 81191 83607 87725 89373 93025 93775 94395 97295 99825 100905 104005 107909 108779 110715 115351 115797 116281 117425 122793 122815 123783 130235 131285 132675 136213 139345 139755 141825 145607 148335 148955 155001 157325 158565 164517 167475 168175 175863 179025 184525 185745 192995 195083 198555 204655 206305 207669 208537 214049 221991 226981 228811 232925 243573 247225 258335 263175 264275 270193 274195 279075 281325 286517 288827 291885 293105 306559 309575 312015 323727 326337 327701 330925 346053 346115 348843 352275 368445 369985 383873 390705 393855 405955 408639 410347 418035 436821 446865 450241 471975 486475 504525 520025 539545 543895 553575 568337 576755 578985 581405 585249 603229 613965 614075 618915 625611 642147 644831 651175 656425 680943 681065 686433 696725 698775 728035 741675 744775 755363 761453 775005 792825 807457 810579 813967 822585 859551 863939 866481 879315 919677 928725 964975 975415 983103 992775 1023275 1031525 1038345 1042685 1070245 1109955 1134905 1144055 1151619 1186999 1196569 1217865 1231041 1268861 1279091 1291675 1350723 1350965 1370975 1432585 1444135 1459425 1465525 1498343 1532795 1560075 1588867 1601677 1618635 1631685 1638505 1700009 1705011 1730265 1730575 1744215 1809687 1817251 1842225 1849925 1919365 1934493 1953525 1969275 2029775 2043195 2051735 2090175 2145913 2184105 2234325 2251205 2266089 2284359 2293907 2354539 2422371 2441901 2496791 2516921 2591817 2697725 2719475 2841685 2883775 2894925 2907025 2926245 3016145 3069825 3094575 3128055 3151687 3210735 3224155 3345179 3372149 3404715 3405325 3432165 3560997 3575881 3589707 3604711 3640175 3776815 3806583 3807265 3837273 3875025 4037285 4052895 4069835 4112925 4222603 4297755 4319695 4332405 4396575 4495029 4513817 4598385 4766601 4805031 4877075 4915515 4952651 5100027 5191725 5213425 5351225 5451753 5549775 5674525 5720275 5758095 5934995 5982845 6047573 6089325 6155205 6344305 6395455 6437739 6582449 6635519 6753615 6754825 6881721 7036411 7063617 7093141 7162925 7220675 7490373 7491715 7550763 7663975 7944335 8008385 8093175 8158425 8192525 8308993 8375983 8500045 8525055 8651325 8721075 8882027 8953637 9048435 9086255 9455061 9503329 9596825 9672465 10035537 10116447 10215975 10258675 10727643 10729565 10814133 10920525 11256025 11330445 11421795 11469535 11772695 11900063 12111855 12209505 12483955 12584605 12667809 12720757 12959085 13056989 13541451 13957471 14208425 14631225 14857953 15080725 15640275 15758435 16053675 16120775 16481773 16725895 16860745 17023575 17160825 17477537 17618447 17804985 17879405 17948535 18023555 18142719 18700099 18884075 19032915 19036325 19186365 19747347 19906557 19989761 20186425 20264475 20349175 21109233 21113015 21279423 21488775 21598475 21662025 22475145 22569085 22991925 23416253 23605043 23833005 24025155 24577575 24763255 24926979 25031167 25127949 25232977 25500135 26646081 26860911 27258765 27464701 28509987 28790475 29674975 29914225 30237865 30776025 31721525 31977275 32188695 32912245 33177595 33768075 34408605 34668557 35182055 35318085 35465705 35700189 36796969 37093639 37451865 37458575 37753815 38162271 39170967 39334691 39651821 39721675 40041925 41544965 41872413 41879915 42500225 42625275 44410135 44768185 45242175 45431275 46077143 46448633 47275305 47516645 48362325 49254877 49445319 49651987 50177685 50582235 52432611 52700279 52855341 53638215 53647825 54070665 56100297 56652225 57108975 57347675 58863475 59500315 59969283 60559275 61047525 62419775 62923025 63339045 63603785 64795425 65284945 66523303 67707255 69787355 70248759 70815129 72406939 72990709 74289765 75093501 75698931 77400521 78024551 78792175 82394103 82408865 83629475 84303725 87387685 88092235 89024925 89397025 89742675 90117775 90713595 91398923 93500495 95164575 95931825 97702297 98736735 99532785 99948805 103700549 104005671 104536619 105546165 105565075 106397115 110390907 110852311 111280917 112375725 112845425 117081265 118004073 118025215 118955463 119165025 120125775 123816275 124634895 125155835 125639745 126164885 127500675 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14492576725 15080822295 15143856035 15304193925 15427581675 15712305763 15838983853 16073585095 16120879005 16359655575 16491552825 16726002909 16795913057 16931327567 17110590585 17248542135 17879520351 18147596075 18290631315 18293908325 18977200467 19130201277 19318408725 19399154425 19474160475 19911908225 20285972913 20289607415 20650712775 20817206025 21285143275 21425871495 21598614345 22262166245 22503019133 22658378325 22903517805 23088173955 23797488055 23954826819 24147958989 24690766199 25134703825 25606883841 26283718857 26393577661 26868131675 27667646475 27876671515 28096389123 28517650975 28747570225 29799200585 30357499425 30484385525 31167032743 31628667445 31721729655 31883668795 32451120075 33316483277 33669226635 33809954855 33940679685 35361887209 35709785825 35991242265 35997690575 36281416215 37643299287 38013642975 38172529675 38320122225 38480289925 39924711365 40239388893 40246598315 40635273525 40962889275 42500499195 42678139735 43477730175 43806198095 44280134423 44637136313 45431568105 46827315205 47136917289 47333936797 47516951559 48220755285 50387739171 50793982701 52869549425 54442788225 54881724975 56115377725 56567799475 58197463275 59735724675 59985403775 60469027025 60868822245 61328677333 62738832145 63855429825 65558241287 66786498735 67065648155 67509057399 69583068379 70144071349 70834165325 71392464165 74072298597 74381900681 75404111475 75719280175 78561528815 79180732983 79194919265 80367925475 80604395025 83630014545 83979565285 84656637835 85552952925 86242710675 87834365003 89397601755 91453156575 93501098229 93891907417 94886002335 95651006385 99949449831 101429864565 101448037075 106085661627 107129357475 107993071725 111310831225 112515095665 114517589025 115440869775 118987440275 119774134095 120739794945 123453830995 128034419205 131418594285 131967888305 132840403269 133911408939 138025430719 139383357575 140481945615 142001810391 147544425941 148996002925 155835163715 158143337225 158608648275 159418343975 166582416385 168346133175 169049774275 169703398425 172835363393 176809436045 179956211325 181407081075 183986031999 184755043627 188216496435 196097738159 196674723861 199623556825 201196944465 201232991575 208749205137 210432214047 212502495975 213390698675 219030990475 221400672115 223145702043 223185681565 227157840525 234136576025 235684586445 236669683985 237584757795 241103776425 247533210463 251938695855 253969913505 263503095009 271598428189 281675722251 290329354271 304344111225 306643386665 313694160725 327791206435 333932493675 335328240775 337545286995 347915341895 350720356745 356962320825 370361492985 371909503405 388980759299 392807644075 395903664915 395974596325 414076292157 418150072725 419897826425 423283189175 439171825015 442633277823 446988008775 467505491145 469459537085 474430011675 478255031925 487081478653 491008499443 499747249155 507149322825 518506090179 520673304767 530428308135 554265130881 562575478325 588293214477 598870670475 603698974725 617269154975 640172096025 657092971425 659839441525 664202016345 669557044695 690127153595 702409728075 710009051955 737722129705 742599631389 765413752169 779175818575 814795284567 818200907491 832912081925 864176816965 870988062813 884047180225 919930159995 923775218135 941082482175 966178015033 980488690795 983373619305 1005984722325 1032810981587 1043746025685 1052161070235 1107003360575 1115728510215 1115928407825 1166942277897 1178422932225 1183348419925 1187923788975 1237666052315 1259693479275 1269849567525 1317515475045 1357992140945 1372684167113 1408378611255 1451646771355 1461244435959 1473025498329 1533216933325 1562019914301 1638956032175 1687726434975 1739576709475 1753601783725 1851807464925 1859547517025 1901188997323 1944903796495 1979518324575 2032305479897 2070381460785 2157075119749 2195859125075 2213166389115 2296241256507 2337527455725 2347297685425 2435407393265 2454602722473 2455042497215 2498736245775 2592530450895 2603366523835 2652141540675 2722865315093 2771325654405 2898534045099 2941466072385 3098432944761 3321010081725 3347785223475 3450635767975 3550045259775 3688610648525 3712998156945 3827068760845 4073976422835 4091004537455 4118052501339 4278788352289 4320884084825 4354940314065 4599650799975 4618876090675 4830890075165 4902443453975 4916868096525 5164054907935 5218730128425 5260805351175 5357896265183 5578642551075 5703566991969 5727406352437 5834711389485 6096916439691 6188330261575 6471225359247 6587577375225 6789960704725 6863420835565 7041893056275 7258233856775 7306222179795 7365127491645 7810099571505 8168595945279 8419551273859 9000209982401 9505944986615 9724518982475 10161527399485 10351907303925 10785375598745 11065831945575 11481206282535 12177036966325 12273013612365 12275212486075 12836365056867 12962652254475 13016832619175 13614326575465 13856628272025 14492670225495 14707330361925 15099525838243 15492164723805 16073688795549 17182219057311 18564990784725 19135343804225 20369882114175 20455022687275 20590262506695 21393941761445 21774701570325 23727826317239 24154450375825 25258653821577 25820274539675 26789481325915 27000629947203 28517834959845 28637031762185 29173556947425 29951518466023 30484582198455 32356126796235 34317104177825 36531110898975 36825637458225 39050497857525 40842979726395 42097756369295 45001049912005 45298577514729 47529724933075 50807636997425 53926877993725 57406031412675 58936858917013 61365068061825 63001469876807 64181825284335 68071632877325 71183478951717 72463351127475 75497629191215 77460823619025 80368443977745 85911095286555 89854555398069 102951312533475 106969708807225 118639131586195 126293269107885 133947406629575 135003149736015 142589174799225 143185158810925 149757592330115 152422910992275 161780633981175 166094784220673 176810576751039 189004409630421 204214898631975 210488781846475 225005249560025 226492887573645 261006089489629 294684294585065 315007349384035 320909126421675 355917394758585 377488145956075 401842219888725 429555476432775 449272776990345 498284352662019 593195657930975 631466345539425 675015748680075 748787961650575 783018268468887 830473921103365 884052883755195 945022048152105 1132464437868225 1305030447448145 1473421472925325 1575036746920175 1779586973792925 1827042626427403 2246363884951725 2491421763310095 3915091342344435 4152369605516825 4420264418775975 4725110240760525 5481127879282209 6525152237240725 9135213132137015 12457108816550475 19575456711722175 27405639396411045 45676065660685075 137028196982055225
- Sum of all divisors σ(n): 309504602963312640
- Sum of proper divisors (its aliquot sum) s(n): 172476405981257415
- 137028196982055225 is an abundant number, because the sum of its proper divisors (172476405981257415) is greater than itself. Its abundance is 35448208999202190
Bases of 137028196982055225
- Binary: 1111001101101001001101011010011010101001111100001001110012
- Hexadecimal: 0x1E6D26B4D53E139
- Base-36: 11H8FWNRWW1L
Squares and roots of 137028196982055225
- 137028196982055225 squared (1370281969820552252) is 18776726768152928672680664949800625
- 137028196982055225 cubed (1370281969820552253) is 2572941014264688699196053204209971973848566489515625
-
The
square root of 137028196982055225 is 370173198.6274198445 -
The
cube root of 137028196982055225 is 515549.0383472541
Scales and comparisons
How big is 137028196982055225?- 137,028,196,982,055,225 seconds is equal to 4,357,072,807 years, 51 weeks, 2 days, 2 hours, 53 minutes, 45 seconds.
-
To count from 1 to 137,028,196,982,055,225 would take you about thirteen billion, seventy-one million, two hundred eighteen thousand, four hundred twenty-three 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 137028196982055225 cubic inches would be around 42962.4 feet tall.
Recreational maths with 137028196982055225
- 137028196982055225 backwards is 522550289691820731
- 137028196982055225 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137028196982055225's digits is 75
- More coming soon!
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"Number 137028196982055225 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 137028196982055225 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137028196982055225/
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The information we have on file for 137028196982055225 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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