131993727634666625
131,993,727,634,666,625 is an odd composite number composed of six prime numbers multiplied together.
131993727634666625 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 131993727634666625:
53 × 73 × 133 × 233 × 41 × 532
(5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 23 × 23 × 23 × 41 × 53 × 53)See below for interesting mathematical facts about the number 131993727634666625 from the Numbermatics database.
Names of 131993727634666625
- Cardinal: 131993727634666625 can be written as One hundred thirty-one quadrillion, nine hundred ninety-three trillion, seven hundred twenty-seven billion, six hundred thirty-four million, six hundred sixty-six thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.31993727634666625 × 1017
Factors of 131993727634666625
Divisors of 131993727634666625
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 5 7 13 23 25 35 41 49 53 65 91 115 125 161 169 175 205 245 265 287 299 325 343 371 455 529 533 575 637 689 805 845 875 943 1025 1127 1183 1219 1225 1325 1435 1495 1625 1715 1855 2009 2093 2173 2197 2275 2597 2645 2665 2809 2875 3185 3445 3703 3731 3887 4025 4225 4459 4715 4823 5125 5635 5915 6095 6125 6601 6625 6877 6929 7175 7475 7889 8281 8533 8575 8957 9275 10045 10465 10865 10985 11375 12167 12259 12985 13225 13325 14045 14063 14651 15211 15379 15847 15925 17225 18179 18515 18655 19435 19663 20125 21125 21689 22295 23575 24115 25921 26117 27209 28037 28175 28249 29575 30475 33005 33761 34385 34645 35875 36517 37375 39445 41405 42665 42875 44785 46207 46375 48139 48503 49979 50225 50531 52325 54325 54925 57967 59731 60835 61295 62699 64607 64925 66125 66625 70225 70315 73255 76055 76895 79235 79625 85169 85813 86125 89401 90077 90895 92575 93275 97175 98315 102557 106477 107653 108445 110929 111475 115169 116441 117875 120575 129605 130585 136045 137641 140185 140875 141245 147875 151823 152375 158171 159367 165025 168805 171925 173225 181447 182585 182819 190463 196259 197225 197743 206011 207025 213325 223925 231035 236327 240695 242515 249895 251125 252655 255619 261625 271625 274625 281957 289835 298655 304175 306475 313495 323035 323449 324625 336973 339521 349853 351125 351575 353717 364481 366275 367237 380275 384475 396175 418117 425845 429065 438893 447005 450385 452249 454475 462875 466375 474721 485875 491575 498847 512785 532385 538265 542225 554645 557375 575845 582205 596183 600691 602875 625807 630539 644851 648025 649727 652925 680225 688205 700925 706225 745339 753571 759115 776503 790855 796835 806183 815087 825125 839891 844025 859625 866125 907235 912925 914095 952315 963487 981295 986125 988715 1030055 1035125 1062761 1066625 1107197 1115569 1119625 1149517 1155175 1162213 1181635 1203475 1212575 1249475 1263275 1278095 1333241 1373813 1384201 1409785 1442077 1449175 1485961 1493275 1497197 1520875 1532375 1567475 1615175 1617245 1684865 1697605 1749265 1757875 1768585 1789333 1822405 1831375 1836185 1901375 1922375 1973699 1980875 2056223 2071771 2090585 2129225 2145325 2194465 2235025 2251925 2261245 2272375 2358811 2373605 2376647 2448971 2457875 2476019 2494235 2551367 2563925 2570659 2648887 2661925 2678143 2691325 2711125 2773225 2879225 2911025 2980915 3003455 3072251 3129035 3152695 3165743 3224255 3240125 3248635 3264625 3323047 3401125 3441025 3491929 3504625 3531125 3665441 3726695 3767855 3795575 3882515 3954275 3984175 4030915 4075435 4173281 4199455 4204837 4220125 4380649 4413773 4513957 4536175 4548089 4564625 4570475 4738253 4761575 4774081 4817435 4906475 4943575 5150275 5313805 5435521 5535985 5577845 5643281 5705609 5747585 5775875 5811065 5879237 5908175 6017375 6062875 6171373 6247375 6316375 6390475 6485011 6666205 6869065 6921005 7048925 7210385 7245875 7429805 7439327 7466375 7485985 7750379 7808983 7837375 8046619 8075875 8086225 8135491 8383063 8424325 8446451 8488025 8746325 8842925 8946665 9112025 9180925 9616691 9689407 9868495 10094539 10281115 10358855 10401727 10452925 10480379 10646125 10726625 10918583 10972325 11175125 11259625 11306225 11794055 11868025 11883235 12244855 12380095 12471175 12525331 12756835 12819625 12853295 13244435 13309625 13390715 13456625 13815893 13866125 14393561 14396125 14502397 14555125 14904575 14943721 15017275 15361255 15645175 15763475 15828715 16121275 16243175 16615235 17142797 17205125 17332133 17459645 17859569 17994613 18327205 18542209 18633475 18747001 18839275 18977875 19317493 19412575 19463561 19771375 19920875 20154575 20377175 20866405 20997275 21024185 21903245 22068865 22160201 22569785 22680875 22740445 22852375 23261329 23691265 23807875 23870405 24087175 24443503 24532375 24717875 25658087 25751375 26438891 26569025 26730899 27177605 27679925 27889225 28216405 28528045 28737925 29055325 29396185 29540875 30664543 30856865 30896411 31597699 31836623 31952375 32425055 33167771 33331025 33418567 34177103 34345325 34435531 34605025 35244625 36051925 37149025 37196635 37429925 38751895 39044915 39502967 39939263 40233095 40431125 40677455 41154659 41915315 42121625 42232255 42440125 43199611 43731625 44214625 44733325 45395077 45560125 45904625 47650733 48083455 48447035 49342475 50472695 51405575 51794275 52008635 52264625 52401895 54252653 54592915 54662881 54861625 56326333 56531125 56948437 58681441 58970275 59125157 59340125 59416175 60924401 61224275 61597289 61900475 62355875 62626655 63784175 64266475 66222175 66953575 69079465 70661773 71967805 72511985 72812089 73362653 74522875 74718605 75086375 76430081 76806275 78225875 78817375 79143575 80606375 81215875 83076175 84305143 85713985 86660665 87298225 89297845 89973065 91636025 92711045 93167375 93735005 94196375 96587465 96711251 97062875 97317805 100754927 100772875 101516779 101885875 104332025 104606047 104986375 105120925 108979819 109516225 109803863 110344325 110801005 112848925 113702225 116306645 118456325 119352025 120435875 122217515 125016983 125962291 128290435 129795463 131229007 132194455 132845125 133654495 135222451 135888025 136244927 138399625 139446125 141082025 141941579 142640225 143689625 145276625 146980925 153322715 154284325 154482055 157988495 159183115 162125275 162829303 165838855 166655125 167092835 170885515 171104521 171726625 172177655 173025125 179606609 180259625 185072237 185745125 185983175 187116293 187149625 193759475 194268373 195224575 197514835 199696315 201165475 203387275 205773295 209576575 211161275 215998055 221183893 222856361 223666625 226975385 232174397 233929969 238253665 239239721 240417275 241048717 242235175 246712375 251127409 252363475 253026293 257027875 258971375 260043175 262009475 271263265 272964575 273314405 281631665 284742185 288082613 293407205 294851375 295625785 297080875 302397277 304622005 306121375 307986445 309502375 313133275 317765539 318920875 321332375 331110875 333555131 334767875 343705583 345397325 353308865 359839025 362559925 364060445 366813265 373593025 382150405 384031375 394284331 395717875 398639059 410770087 413876099 415380875 421525715 426470807 428569925 431181023 433303325 436491125 444302339 446489225 447661903 449865325 458180125 463555225 468675025 482937325 483556255 486589025 503774635 507583895 509684623 513538571 521660125 523030235 525604625 535010567 544899095 547581125 549019315 551721625 554005025 564244625 568511125 581533225 590136001 592281625 596760125 611087575 625084915 629811455 641452175 648977315 656145035 660972275 668272475 676112255 679440125 681224635 705284489 705410125 709707895 710617453 713201125 732242329 734904625 762858733 766613575 768627041 771421625 772410275 789942475 792017213 795915575 810626375 814146515 829194275 835464175 854427575 855522605 860888275 898033045 908568241 918603049 925361185 929915875 935581465 946557157 953714489 968797375 971341865 976122875 987574175 993591053 998481575 1005827375 1016936375 1028866475 1047882875 1055806375 1079990275 1095966859 1105919465 1114281805 1134876925 1160871985 1169649845 1191268325 1196198605 1202086375 1205243585 1211175875 1255637045 1257246263 1261817375 1265131465 1295505659 1300215875 1309814051 1310047375 1356316325 1359878611 1364822875 1366572025 1401261223 1408158325 1416737647 1423710925 1440413065 1467036025 1478128925 1511986385 1523110025 1539932225 1565666375 1588827695 1625220779 1637509783 1667775655 1674678047 1687341019 1718527915 1726986625 1757891863 1766544325 1771184051 1799195125 1812799625 1820302225 1834066325 1867965125 1910752025 1971421655 1993195295 2053850435 2069380495 2107628575 2116780939 2132354035 2142849625 2155905115 2166516625 2221511695 2224358773 2232446125 2238309515 2249326625 2317776125 2334885917 2343375125 2405939081 2414686625 2417781275 2432945125 2518873175 2525488849 2537919475 2548423115 2567692855 2615151175 2675052835 2724495475 2745096575 2770025125 2875390609 2897132693 2907666125 2950680005 2985295649 3018267161 3055437875 3110116373 3125424575 3133633321 3149057275 3207260875 3244886575 3264656317 3280725175 3304861375 3341362375 3380561275 3406123175 3526422445 3548539475 3553087265 3661211645 3745073969 3814293665 3833067875 3843135205 3862051375 3949712375 3960086065 3979577875 4070732575 4130952007 4145971375 4177320875 4272137875 4277613025 4304441375 4468172579 4490165225 4542841205 4593015245 4626805925 4677907325 4732785785 4768572445 4856709325 4937870875 4967955265 4992407875 5125696303 5144332375 5340011131 5380389287 5399951375 5479834295 5529597325 5544120491 5571409025 5674384625 5775930407 5804359925 5819604739 5848249225 5956341625 5980993025 6026217925 6278185225 6286231315 6325657325 6477528295 6549070255 6625900099 6676001423 6781581625 6799393055 6832860125 6955137371 7006306115 7040791625 7083688235 7118554625 7202065325 7335180125 7390644625 7559931925 7615550125 7671768013 7699661125 7944138475 8126103895 8187548915 8338878275 8373390235 8436705095 8592639575 8789459315 8832721625 8855920255 9068539613 9101511125 9168698357 9170331625 9519150277 9553760125 9808828561 9857108275 9917163529 9965976475 10269252175 10296223769 10346902475 10538142875 10583904695 10661770175 10779525575 11107558475 11121793865 11191547575 11674429585 11722746329 11811387133 12029695405 12088906375 12305243041 12398288357 12594365875 12627444245 12689597375 12742115575 12838464275 13075755875 13375264175 13622477375 13725482875 14376953045 14485663465 14753400025 14926478245 15091335805 15550581865 15627122875 15668166605 15745286375 16224432875 16323281585 16344201419 16403625875 16841573567 16902806375 17030615875 17632112225 17678421943 17742697375 17765436325 18216395899 18306058225 18725369845 19071468325 19215676025 19800430325 20353662875 20654760035 20897069543 21127870127 21388065125 21770814611 21935433247 22340862895 22450826125 22714206025 22852594219 22965076225 23134029625 23389536625 23663928925 23842862225 24283546625 24839776325 25628481515 26700055655 26901946435 27399171475 27647986625 27720602455 27857045125 28879652035 28916664049 29021799625 29098023695 29241246125 29904965125 30131089625 31277208053 31390926125 31431156575 31628286625 32387641475 32745351275 33129500495 33380007115 33996965275 34775686855 35031530575 35418441175 36010326625 37380077917 37662725009 37799659625 38358840065 38808843437 39720692375 40431512849 40630519475 40737233173 40937744575 41694391375 41866951175 42183525475 42963197875 43947296575 44279601275 45342698065 45843491785 47595751385 48685961597 49044142805 49285541375 49585817645 49829882375 51346260875 51481118845 51734512375 52919523475 53308850875 53702376091 53897627875 55537792375 55608969325 55957737875 58086243527 58372147925 58613731645 59056935665 60148477025 61526215205 61991441785 63137221225 63710577875 64192321375 66634051939 66876320875 68661799927 69420144703 71884765225 72073566383 72428317325 73767000125 74632391225 75087095291 75456679025 77752909325 78340833025 81616407925 81721007095 84207867835 86136701287 86788018499 88160561125 88392109715 88827181625 91081979495 91530291125 93626849225 95357341625 96078380125 99002151625 103273800175 104485347715 105639350635 108854073055 109677166235 111704314475 113571030125 114262971095 114825381125 117891014969 118319644625 119214311125 123748953601 124198881625 127514771293 128142407575 133500278275 133850908997 134509732175 136995857375 138603012275 144398260175 144583320245 145490118475 152395702277 153548032729 156386040265 157155782875 159968159533 161938207375 163726756375 165647502475 166900035575 169984826375 173878434275 175157652875 177092205875 186900389585 188313625045 191794200325 194044217185 202157564245 203152597375 203686165865 204688722875 209334755875 210917627375 218940456371 219736482875 221398006375 226713490325 229217458925 236813146687 237978756925 243429807985 245220714025 247929088225 257405594225 264597617375 268511880455 271661904059 278044846625 283020589943 285160632211 290431217635 291860739625 293068658225 295284678325 300742385125 307631076025 309957208925 315686106125 333170259695 343308999635 347100723515 359423826125 360367831915 362141586625 373161956125 375435476455 375916632637 377283395125 388764546625 391704165125 406603704689 408082039625 408605035475 421039339175 430683506435 433940092495 441960548575 455409897475 468134246125 480632599489 485941012921 504514964681 516369000875 522426738575 525609667037 528196753175 544270365275 548385831175 558521572375 571314855475 589455074845 618744768005 637573856465 640712037875 667501391375 669254544985 672548660875 693015061375 721991300875 722916601225 727450592375 761978511385 767740163645 781930201325 799840797665 828237512375 834500177875 866242675207 869392171375 892603399051 934501947925 936956362979 941568125225 958971001625 970221085925 1010787821225 1018430829325 1094702281855 1119777116731 1133567451625 1146087294625 1184065733435 1189893784625 1217149039925 1226103570125 1239645441125 1287027971125 1342559402275 1358309520295 1415102949715 1425803161055 1452156088175 1465343291125 1476423391625 1532583194597 1538155380125 1549786044625 1657692026809 1665851298475 1716544998175 1735503617575 1801839159575 1877177382275 1879583163185 1981144129601 1996124425477 2033018523445 2043025177375 2105196695875 2153417532175 2169700462475 2209802742875 2277049487375 2403162997445 2429705064605 2522574823405 2612133692875 2628048335185 2640983765875 2721351826375 2741929155875 2846225932823 2856574277375 2947275374225 3078570906931 3093723840025 3187869282325 3346272724925 3531604752767 3614583006125 3679267669259 3809892556925 3838700818225 3909651006625 3999203988325 4331213376035 4463016995255 4672509739625 4684781814895 4707840626125 4851105429625 5053939106125 5092154146625 5473511409275 5598885583655 5920328667175 6085745199625 6248223793357 6558694540853 6712797011375 6791547601475 7075514748575 7129015805275 7260780440875 7662915972985 8288460134045 8329256492375 8582724990875 8677518087875 9009195797875 9385886911375 9397915815925 9905720648005 9980622127385 10165092617225 10767087660875 10848502312375 11603844187663 12015814987225 12148525323025 12612874117025 13140241675925 14231129664115 14736376871125 15392854534655 15468619200125 15939346411625 16731363624625 17658023763835 18396338346295 19049462784625 19193504091125 19923581529761 19996019941625 21549996348517 21656066880175 22315084976275 23423909074475 25754873684813 27367557046375 27994427918275 29601643335875 31241118966785 32793472704265 33957738007375 35377573742875 35645079026375 38314579864925 41442300670225 45910861785971 46989579079625 49528603240025 49903110636925 50825463086125 58019220938315 60079074936125 60742626615125 63064370585125 65701208379625 71155648320575 76964272673275 81226909313641 88290118819175 91981691731475 99617907648805 107749981742585 108280334400875 111575424881375 117119545372375 128774368424065 139972139591375 150849974439619 156205594833925 163967363521325 191572899324625 207211503351125 229554308929855 247643016200125 249515553184625 290096104691575 355778241602875 384821363366375 406134546568205 441450594095875 459908458657375 498089538244025 538749908712925 643871842120325 754249872198095 781027974169625 819836817606625 1055949821077333 1147771544649275 1450480523457875 2030672732841025 2490447691220125 2693749543564625 3219359210601625 3771249360990475 5279749105386665 5738857723246375 10153363664205125 18856246804952375 26398745526933325 131993727634666625
- Sum of all divisors σ(n): 227153428669440000
- Sum of proper divisors (its aliquot sum) s(n): 95159701034773375
- 131993727634666625 is a deficient number, because the sum of its proper divisors (95159701034773375) is less than itself. Its deficiency is 36834026599893250
Bases of 131993727634666625
- Binary: 1110101001110111110011000100100000011111001110100100000012
- Hexadecimal: 0x1D4EF98903E7481
- Base-36: 103NVDDCMHZ5
Squares and roots of 131993727634666625
- 131993727634666625 squared (1319937276346666252) is 17422344134894555875324474888890625
- 131993727634666625 cubed (1319937276346666253) is 2299640146498703533675897283168689746738837962890625
-
The
square root of 131993727634666625 is 363309410.3304600959 -
The
cube root of 131993727634666625 is 509156.2720282647
Scales and comparisons
How big is 131993727634666625?- 131,993,727,634,666,625 seconds is equal to 4,196,992,255 years, 19 weeks, 3 days, 18 hours, 57 minutes, 5 seconds.
-
To count from 1 to 131,993,727,634,666,625 would take you about twelve billion, five hundred ninety million, nine hundred seventy-six thousand, seven hundred sixty-six 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 131993727634666625 cubic inches would be around 42429.7 feet tall.
Recreational maths with 131993727634666625
- 131993727634666625 backwards is 526666436727399131
- The number of decimal digits it has is: 18
- The sum of 131993727634666625's digits is 86
- More coming soon!
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"Number 131993727634666625 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 131993727634666625 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/131993727634666625/
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The information we have on file for 131993727634666625 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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