997016643233325
997,016,643,233,325 is an odd composite number composed of eight prime numbers multiplied together.
What does the number 997016643233325 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2160 divisors.
997016643233325 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 997016643233325:
34 × 52 × 11 × 13 × 192 × 29 × 31 × 1032
(3 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 19 × 19 × 29 × 31 × 103 × 103)See below for interesting mathematical facts about the number 997016643233325 from the Numbermatics database.
Names of 997016643233325
- Cardinal: 997016643233325 can be written as Nine hundred ninety-seven trillion, sixteen billion, six hundred forty-three million, two hundred thirty-three thousand, three hundred twenty-five.
Scientific notation
- Scientific notation: 9.97016643233325 × 1014
Factors of 997016643233325
Divisors of 997016643233325
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 3 5 9 11 13 15 19 25 27 29 31 33 39 45 55 57 65 75 81 87 93 95 99 103 117 135 143 145 155 165 171 195 209 225 247 261 275 279 285 297 309 319 325 341 351 361 377 403 405 429 435 465 475 495 513 515 551 585 589 627 675 715 725 741 775 783 825 837 855 891 899 927 957 975 1023 1045 1053 1083 1131 1133 1209 1235 1287 1305 1339 1395 1425 1485 1539 1545 1595 1653 1705 1755 1767 1805 1881 1885 1957 2015 2025 2145 2175 2223 2325 2349 2475 2511 2565 2575 2697 2717 2755 2781 2871 2925 2945 2987 3069 3135 3193 3249 3393 3399 3575 3627 3705 3861 3915 3971 4017 4147 4185 4275 4433 4455 4495 4635 4693 4785 4959 5115 5225 5265 5301 5415 5643 5655 5665 5871 6045 6061 6175 6435 6479 6525 6669 6695 6975 7163 7425 7657 7695 7725 7975 8091 8151 8265 8343 8525 8613 8775 8835 8961 9025 9207 9405 9425 9579 9747 9785 9889 10075 10179 10197 10469 10609 10725 10881 11115 11191 11583 11687 11745 11913 12051 12441 12555 12825 13299 13485 13585 13775 13905 14079 14355 14725 14729 14877 14935 15345 15675 15903 15965 16245 16929 16965 16995 17081 17613 18135 18183 18525 19305 19437 19575 19855 20007 20085 20735 20925 21489 21527 22165 22275 22475 22971 23175 23465 23925 24273 24453 24795 25441 25575 25839 26325 26505 26883 27075 27621 28215 28275 28325 28737 29241 29355 29667 30225 30305 30537 30591 31407 31827 32175 32395 32643 32857 33345 33475 33573 35061 35123 35739 35815 36153 37183 37323 38285 38475 38831 39897 40455 40755 41325 41509 41715 42237 43065 44175 44187 44631 44805 46035 47025 47709 47895 48735 48925 49445 50895 50985 51243 51623 52345 52839 53045 54405 54549 55575 55955 56753 57915 58311 58435 58725 59565 60255 60667 62205 62775 64467 64581 66495 67425 67925 68913 69525 70395 71775 72819 73359 73645 74385 74675 76323 76725 78793 79515 79825 80649 81225 84227 84645 84825 84975 85405 86211 88065 89001 90675 90915 91773 92597 94221 95481 96525 97185 98571 99275 100035 100425 100719 103675 105183 105369 107217 107445 107635 108459 110825 111549 111969 114855 115159 116493 116699 117325 119691 121365 122265 123101 123975 124527 126711 127205 128557 129195 132525 132561 134415 136097 137917 138105 141075 143685 145483 146205 146775 148335 151525 152685 152955 153729 154869 157035 158517 159135 161975 163215 163647 164285 166725 167865 170259 174933 175305 175615 178695 179075 180765 182001 185915 186615 187891 191425 193401 193743 194155 199485 201571 202275 203775 206739 207545 208575 211185 215325 220077 220935 222053 223155 224025 228969 230175 236379 238545 239475 241947 243675 247225 252681 254475 254925 256215 258115 258633 261725 264195 265225 267003 272025 272745 277791 279775 279851 282663 283765 286443 289575 291555 292175 295713 297825 301275 302157 303335 307661 311025 315549 316107 321651 322335 322905 324539 328879 332475 334647 335907 344565 345477 349479 350097 351975 359073 364095 366795 368225 369303 371925 373581 380133 381615 385671 393965 397575 397683 403245 408291 409013 413751 421135 423225 427025 427141 431055 436449 440325 445005 454575 456599 458865 461187 462985 464607 471105 477405 483379 485925 490941 492855 500175 503595 510777 524799 525915 526845 536085 537225 538175 542295 546003 557745 559845 563673 574275 575795 580203 581229 582465 583495 598455 604713 606825 611325 615505 620217 622635 624283 633555 636025 642785 645975 662805 666159 667337 672075 680485 686907 689585 690525 709137 718425 727415 731025 737789 741675 758043 763425 764775 768645 774345 785175 788671 792585 795675 801009 816075 818235 821425 833373 839325 839553 847989 851295 859329 874665 876525 878075 887139 893475 903825 906471 910005 922983 929575 933075 939455 946647 948321 967005 968715 970775 973617 986637 997425 1003941 1007855 1018567 1033695 1036431 1037725 1048437 1050291 1055925 1078307 1100385 1104675 1107909 1110265 1115775 1120743 1144845 1152673 1157013 1181895 1192725 1193049 1203761 1209735 1224873 1227039 1241253 1263405 1281075 1281423 1290575 1293165 1309347 1320975 1335015 1363725 1369797 1383561 1388955 1393821 1399255 1413315 1418825 1432215 1450137 1457775 1478565 1497067 1510785 1516675 1517087 1532331 1538305 1577745 1580535 1600313 1608255 1611675 1614525 1622695 1638009 1644395 1673235 1679535 1691019 1722825 1727385 1743687 1747395 1750485 1759343 1795365 1814139 1820475 1833975 1846515 1867905 1872849 1900665 1908075 1928355 1969825 1988415 1998477 2002011 2016225 2041455 2045065 2060721 2068755 2105675 2127411 2135705 2155275 2182245 2213367 2217281 2225025 2274129 2282995 2294325 2305935 2314925 2323035 2355525 2366013 2387025 2416895 2442583 2454705 2464275 2500119 2517975 2518659 2553885 2620423 2623995 2629575 2634225 2661417 2680425 2711475 2730015 2768949 2788725 2799225 2818365 2844963 2878975 2901015 2906145 2912325 2917475 2920851 2959911 2992275 3011823 3023565 3055701 3077525 3101085 3109293 3113175 3121415 3145311 3150873 3167775 3213925 3234921 3314025 3323727 3330795 3336685 3362229 3384271 3402425 3434535 3447925 3458019 3471039 3545685 3569929 3611283 3617669 3637075 3674619 3681117 3688945 3723759 3790215 3829849 3843225 3844269 3871725 3928041 3943355 3962925 3999593 4005045 4091175 4109391 4166865 4181463 4197765 4219007 4239945 4256475 4275427 4296645 4350411 4373325 4435695 4491201 4532355 4550025 4551261 4596993 4614915 4697275 4733235 4741605 4800939 4835025 4843575 4868085 4914027 4933185 5019705 5039275 5073057 5092835 5168475 5182155 5242185 5251455 5278029 5317169 5391535 5442417 5501925 5539545 5551325 5603715 5618547 5724225 5763365 5785065 5845559 5909475 5965245 5995431 6006033 6018805 6048675 6124365 6135195 6206265 6248701 6317025 6382233 6407115 6465825 6546735 6640101 6651843 6675075 6822387 6848985 6917805 6944775 6969105 6996275 7066575 7098039 7161075 7250685 7327749 7392825 7485335 7500357 7553925 7555977 7585435 7661655 7691525 7861269 7888725 7902675 8001565 8041275 8113475 8115679 8190045 8221975 8306847 8366175 8397675 8455095 8636925 8675381 8718435 8736975 8752425 8762553 8796715 8879733 8976825 9070695 9167103 9232575 9327879 9339525 9364245 9452619 9503325 9537491 9641775 9704763 9942075 9971181 9992385 10010055 10152813 10207275 10225325 10303605 10343775 10374057 10413117 10637055 10678525 10709787 10833849 10853007 10911225 11023857 11043351 11066835 11086405 11171277 11370645 11414975 11489547 11529675 11532807 11615175 11784123 11830065 11861377 11998779 12084475 12212915 12273525 12328173 12500595 12593295 12657021 12679403 12769425 12826281 13051233 13102115 13119975 13241371 13307085 13473603 13650075 13653783 13844745 14017991 14091825 14224815 14402817 14505075 14530725 14604255 14799555 14984749 15059115 15117825 15219171 15278505 15505425 15546465 15607075 15726555 15754365 15834087 15951507 16174605 16327251 16618635 16653975 16683425 16811145 16855641 16921355 17172675 17290095 17355195 17536677 17728425 17849645 17986293 18018099 18056415 18088345 18373095 18405585 18444725 18618795 18746103 18951075 19149245 19221345 19352773 19640205 19716775 19920303 19955529 19997965 20025225 20546955 20834325 20907315 20988825 21095035 21199725 21294117 21377135 21483225 21752055 21983247 22178475 22456005 22661775 22667931 22756305 22871459 22984965 23074575 23583807 23666175 23708025 24004695 24340425 24347037 24570135 24665925 24920541 25098525 25365285 25464175 25910775 26026143 26210925 26257275 26287659 26390145 26585845 26639199 26957675 27212085 27501309 27697725 28018575 28092735 28612473 28816825 28824653 28925325 29114289 29227795 29826225 29977155 30030165 30094025 30458439 30621825 30675975 31031325 31122171 31243505 31911165 32035575 32129361 32501547 32559021 32733675 33130053 33200505 33259215 33427517 34111935 34244925 34468641 34589025 34598421 34845525 35490195 35584131 35996337 36253425 36638745 36984519 37426675 37501785 37779885 37927175 37971063 38038209 38308275 38478843 39153699 39306345 39724113 40007825 40420809 40578395 40950225 40961349 41534235 42053973 42128339 42275475 43208451 43376905 43592175 43812765 43983575 43995523 44398665 44954247 45353475 45835515 46409077 46639395 46821225 47029697 47263095 47502261 47687455 47854521 48523815 49788037 49855905 49961925 50050275 50566923 50764065 51518025 51870285 52065585 52610031 53185275 53548935 54054297 54169245 54265035 55119285 55216755 55334175 55432025 55856385 56238309 56853225 57447735 57664035 58058319 58920615 59150325 59306885 59760909 59866587 59993895 61064575 61640865 62502975 62966475 63285105 63397015 63882351 64131405 64301149 65256165 65510575 65949741 66206855 66535425 67368015 68268915 68614377 68735711 69223725 70089955 70751421 71124075 72014085 73021275 73041111 73997775 74923745 75295575 75992267 76095855 76392525 77732325 78078429 78632775 78771825 79170435 79757535 80873025 81233113 81636255 82503927 83093175 84055725 84278205 84606775 85837419 86450475 86473959 86775975 87342867 87683385 89248225 89931465 90090495 90282075 90441725 91375317 91865475 92027925 93093975 93366513 93730515 95746225 96106725 96388083 96763865 97504641 97677063 98201025 99601515 99777645 99989825 100282551 102734775 103405923 104536575 104912401 105475175 106470585 106752393 106885675 107989011 108760275 109916235 111065621 112280025 113339655 113781525 113913189 114114627 114357295 114924825 115436529 117919035 118725319 119172339 120023475 121262427 121735185 122850675 122884047 123987383 124602705 126161919 126385017 126826425 129625353 130130715 131438295 131950725 131986569 132929225 133195995 134862741 136060425 137506545 139227231 140463675 141089091 142506783 143062365 143563563 144123265 145571445 146138975 149364111 149885775 150150825 152292195 154197901 155610855 156217525 157830093 159555825 160646805 162507735 162795105 164832239 165650265 166002525 166296075 167137585 168714927 170559675 172343205 172992105 174174957 177450975 177920655 179599761 179981685 181212329 183193725 184922595 187508925 188899425 189855315 190191045 192394215 192903447 195768495 196531725 197849223 198620565 202104045 202891975 204806745 205843131 206207133 207671175 210269865 210641695 212254263 216042255 216884525 219063825 219123333 219977615 221993325 224771235 227976801 229177575 232045385 233196975 234235287 235148485 236315475 237511305 238437275 239272605 242619075 243699339 248940185 249279525 251586049 252834615 253820325 257512257 259351425 259421877 260327925 263050155 267744675 270271485 270846225 271325175 274125951 275596425 276083775 279281925 281191545 287238675 288320175 289164249 290291595 293031189 294603075 296534425 298804545 299332935 299969475 300847653 308204325 310217769 314737203 316425525 316985075 319411755 320257179 320657025 321505745 323967033 326280825 329748705 331034275 333196863 336840075 341344575 341739567 342343881 343071885 343678555 346309587 350449775 353757105 356175957 357517017 360070425 365205555 367702687 371962149 374618725 378485757 379155051 379961335 380479275 390392145 395852175 395959707 398787675 404588223 406165565 408181275 412519635 417681693 421391025 423267273 429187095 430690689 432369795 434557721 436714335 438416925 448092333 449657325 450452475 456876585 462593703 466832565 468652575 473490279 481940415 483819325 487523205 488385315 494496717 498007575 498888225 501412755 506144781 517029615 522524871 524562005 532352925 533761965 539945055 543636987 547668407 549581175 555328105 566698275 569565945 570573135 571786475 577182645 578710341 589595175 593626595 595861695 606312135 608675925 614420235 617529393 618621399 619936915 623013525 630809595 631925085 648126765 650653575 657191475 657369999 659932845 665979975 674313705 683930403 687532725 696136155 702705861 705445455 712533915 715311825 717817815 720616325 727857225 731098017 746820555 754758147 761460975 770989505 772536771 778054275 778265631 789150465 803234025 812538675 813975525 824161195 828251325 835687925 835914937 843574635 861716025 864960525 870874785 889603275 893564243 897998805 899908425 902542959 906061645 924612975 944211609 949276575 950955225 960771537 961971075 964517235 978842475 989246115 993102825 999590589 1010520225 1024033725 1027031643 1029215655 1031035665 1051349325 1053208475 1061271315 1068527871 1072551051 1080211275 1095616665 1099888075 1103108061 1115886447 1123856175 1135457271 1137465153 1139884005 1160226925 1171176435 1175742425 1187556525 1187879121 1196363025 1213764669 1218496695 1221721831 1244700925 1253045079 1257930245 1264173075 1269801819 1287561285 1297109385 1303673163 1305978509 1315250775 1344276999 1351357425 1363861213 1370629755 1387781109 1405957725 1443853073 1445821245 1451457975 1465155945 1483490151 1494022725 1496664675 1504238265 1543429147 1551088845 1567574613 1573686015 1597058775 1601285895 1607528725 1619835165 1630910961 1643005221 1648743525 1665984315 1708697835 1711719405 1715359425 1718392775 1731547935 1736131023 1768785525 1780879785 1787585085 1826027775 1838513435 1852588179 1855864197 1859810745 1892428785 1895775255 1899806675 1951960725 1979798535 1993335619 2022941115 2030827825 2051791209 2062598175 2088408465 2116336365 2145935475 2153453445 2161848975 2172788605 2183571675 2193294051 2240461665 2264274441 2284382925 2312968515 2334162825 2334796893 2355760277 2367451395 2409702075 2437616025 2441926575 2472483585 2507063775 2507744811 2530723905 2585148075 2612624355 2622810025 2668809825 2680692729 2699725275 2707628877 2718184935 2738342035 2776640525 2832634827 2847829725 2852865675 2885913225 2893551705 2968132975 2979308475 2998771767 3031560675 3072101175 3087646965 3093106995 3099684575 3154047975 3159625425 3205583613 3240633825 3286849995 3299664225 3309324183 3347659341 3371568525 3412395459 3419652015 3443034251 3480680775 3513529305 3527227275 3562669575 3563637363 3589089075 3655490085 3665165493 3734102775 3759135237 3773790735 3809405457 3854947525 3862683855 3891328155 3911019489 3917935527 3945752325 4032830997 4091583639 4120805975 4163343327 4179574685 4217873175 4331559219 4354373925 4450470453 4467821215 4489994025 4512714795 4530308225 4630287441 4721058045 4780134931 4803857685 4822586175 4892732883 4929015663 4946230575 4997952945 5135158215 5146078275 5155178325 5208393069 5306356575 5342639355 5362755255 5478083325 5515540305 5567592591 5579432235 5677286355 5687325765 5699420025 5855882175 5939395605 5980006857 6068823345 6092483475 6108609155 6155373627 6265225395 6289651225 6349009095 6437806425 6485546925 6518365815 6529892545 6579882153 6721384995 6792823323 6819306065 6853148775 6938905545 7067280831 7219265365 7229106225 7325779725 7417450755 7521191325 7523234433 7717145735 7755444225 7837873065 7868430075 8006429475 8042078187 8099175825 8154554805 8215026105 8329921575 8497904481 8543489175 8558597025 8657739675 8680655115 8904398925 8937925425 8996315301 9192567175 9262940895 9279320985 9299053725 9462143925 9478876275 9616750839 9898992675 9927972549 9966678095 10042978023 10114705575 10258956045 10329102753 10442042325 10581681825 10767267225 10863943025 10966470255 10995496479 11202308325 11321372205 11564842575 11673984465 11733058467 11753806581 11778801385 11837256975 12274750917 12362417925 12490029981 12538724055 12653619525 12994677657 13063121775 13351411359 13403463645 13538144385 13590924675 13691710175 13890862323 14163174135 14340404793 14467758525 14678198649 14787046989 14993858835 15438234825 15465534975 15882383803 16027918065 16434249975 16546620915 16738296705 16977720617 17061977295 17098260075 17215171255 17567646525 17818186815 17940020571 18277450425 18325827465 18795676185 18868953675 19047027285 19313419275 19456640775 19555097445 19589677635 20164154985 20378469969 20457918195 20816716635 20897873425 21201842493 21657796095 22252352265 22339106075 22563573975 22569703299 23151437205 23605290225 23900674655 24019288425 24126234561 24463664415 24645078315 24989764725 25675791075 25913363047 26041965345 26713196775 26813776275 27577701525 27837962955 27897161175 28386431775 28436628825 29696978025 29783917647 29900034285 30344116725 30543045775 30776868135 30987308259 31326126975 31745045475 32591829075 32649462725 32899410765 32986489437 33606924975 33964116615 34096530325 34694527725 35199175401 35261419743 35336404155 36096326825 36824252751 37087253775 37616172165 37873376761 38585728675 38984032971 39189365325 40210390935 40772774025 41075130525 41672586969 42489522405 43021214379 43403275575 44361140967 44759445263 44981576505 46314704475 46396604925 47647151409 48083754195 49639862745 49833390475 50214890115 50933161851 51294780225 51645513765 53820061713 54832351275 54977482395 56606861025 58369922325 58665292335 58769032905 58894006925 61373754585 62450149905 62693620275 63605527479 64973388285 66757056795 67017318225 67690721925 67709109897 69454311615 70815870675 71702023965 72378703683 73390993245 73935234945 74969294175 77740089141 79411919015 80139590325 82733104575 83691483525 84888603085 85309886475 86075856275 89090934075 89700102855 91629137325 92961924777 93978380925 95235136425 97775487225 97948388175 98959468311 100820774925 101892349845 102289590975 104083583175 105784259229 106009212465 108288980475 110472758253 111261761325 112848516495 113620130283 115757186025 116952098913 119503373275 120631172805 122318322075 123225391575 125017760907 129063643137 129566815235 130209826725 134278335789 139189814775 142941454227 148919588235 149500171425 152799485553 153884340675 154936541295 161460185139 164497053825 164932447185 169820583075 175995877005 176307098715 176682020775 184121263755 188080860825 189366883805 190816582437 194920164855 201051954675 208362934845 212447612025 215106071895 221805704835 223797226315 224907882525 233220267423 238235757045 240418770975 248199313725 251074450575 254665809255 258227568825 269100308565 274887411975 278885774331 293326461675 293845164525 306868772925 312250749525 318027637395 324866941425 333785283975 338545549485 340860390849 347271558075 358510119825 361893518415 366954966225 369676174725 387190929411 388700445705 397059595075 402835007367 424443015425 428824362681 448500514275 458398456659 464809623885 492353897893 494797341555 509461749225 528921296145 530046062325 552363791265 564242582475 568100651415 584760494565 603155864025 625088804535 645318215685 647834076175 671391678945 699660802269 714707271135 744597941175 763997427765 774682706475 807300925695 824662235925 879979385025 881535493575 920606318775 946834419025 954082912185 974600824275 1022581172547 1041814674225 1075530359475 1109028524175 1118986131575 1166101337115 1191178785225 1208505022101 1273329046275 1286473088043 1345501542825 1375195369977 1394428871655 1477061693679 1590138186975 1692727747425 1704301954245 1809467592075 1935954647055 1943502228525 2014175036835 2098982406807 2144121813405 2291992283295 2324048119425 2461769489465 2473986707775 2644606480725 2761818956325 2840503257075 2923802472825 3067743517641 3125444022675 3226591078425 3356958394725 3498304011345 3573536355675 3625515066303 3819987138825 4036504628475 4431185081037 4770414560925 5112905862735 5830506685575 6042525110505 6432365440215 6875976849885 6972144358275 7385308468395 8521509771225 9679773235275 10070875184175 10494912034035 10720609067025 11459961416475 12308847447325 13293555243111 15338717588205 17491520056725 18127575331515 22155925405185 25564529313675 30212625552525 32161827201075 34379884249425 36926542341975 39880665729333 52474560170175 66467776215555 76693587941025 90637876657575 110779627025925 199403328646665 332338881077775 997016643233325
- Sum of all divisors σ(n): 2469242023395840
- Sum of proper divisors (its aliquot sum) s(n): 1472225380162515
- 997016643233325 is an abundant number, because the sum of its proper divisors (1472225380162515) is greater than itself. Its abundance is 475208736929190
Bases of 997016643233325
- Binary: 111000101011001000000001101101101011100110001011012
- Hexadecimal: 0x38AC806DAE62D
- Base-36: 9TEV4F69T9
Squares and roots of 997016643233325
- 997016643233325 squared (9970166432333252) is 994042186884247265510390555625
- 997016643233325 cubed (9970166432333253) is 991076604399645731495866266613354143266203125
-
The
square root of 997016643233325 is 31575570.3548380105 -
The
cube root of 997016643233325 is 99900.4557166805
Scales and comparisons
How big is 997016643233325?- 997,016,643,233,325 seconds is equal to 31,702,045 years, 14 weeks, 3 days, 20 hours, 48 minutes, 45 seconds.
-
To count from 1 to 997,016,643,233,325 would take you about seventy-nine million, two hundred fifty-five thousand, one hundred thirteen 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 997016643233325 cubic inches would be around 8325 feet tall.
Recreational maths with 997016643233325
- 997016643233325 backwards is 523332346610799
- The number of decimal digits it has is: 15
- The sum of 997016643233325's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 997016643233325 - Facts about the integer". Numbermatics.com. 2024. Web. 20 May 2024.
APA style:
Numbermatics. (2024). Number 997016643233325 - Facts about the integer. Retrieved 20 May 2024, from https://numbermatics.com/n/997016643233325/
Chicago style:
Numbermatics. 2024. "Number 997016643233325 - Facts about the integer". https://numbermatics.com/n/997016643233325/
The information we have on file for 997016643233325 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 997016643233325, math, Factors of 997016643233325, curriculum, school, college, exams, university, Prime factorization of 997016643233325, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety-seven trillion, sixteen billion, six hundred forty-three million, two hundred thirty-three thousand, three hundred twenty-five.