131376901903992000

Names of 131376901903992000

• Cardinal: 131376901903992000 can be written as One hundred thirty-one quadrillion, three hundred seventy-six trillion, nine hundred one billion, nine hundred three million, nine hundred ninety-two thousand.

Scientific notation

• Scientific notation: 1.31376901903992 × 10¹⁷

Factors of 131376901903992000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 500684

Divisors of 131376901903992000

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 125 136 144 150 153 160 170 179 180 192 200 204 225 240 250 255 272 288 300 306 320 340 358 360 375 400 408 425 450 480 500 510 537 544 576 600 612 680 716 720 750 765 800 816 850 895 900 960 1000 1020 1074 1088 1125 1200 1201 1224 1275 1360 1432 1440 1500 1530 1600 1611 1632 1700 1790 1800 2000 2040 2125 2148 2250 2400 2402 2448 2550 2685 2720 2864 2880 3000 3043 3060 3222 3264 3400 3580 3600 3603 3825 4000 4080 4250 4296 4475 4500 4800 4804 4896 5100 5370 5440 5728 6000 6005 6086 6120 6375 6444 6800 7160 7200 7206 7650 8000 8055 8160 8500 8592 8950 9000 9129 9608 9792 10200 10740 10809 11456 12000 12010 12172 12240 12750 12888 13425 13600 14320 14400 14412 15215 15300 16110 16320 17000 17184 17900 18000 18015 18258 19125 19216 20400 20417 21480 21618 22375 24000 24020 24344 24480 25500 25776 26850 27200 27387 28640 28824 30025 30430 30600 32220 34000 34368 35800 36000 36030 36516 38250 38432 40275 40800 40834 42960 43236 44750 45645 48040 48688 48960 51000 51552 53700 54045 54774 57280 57648 60050 60860 61200 61251 64440 67125 68000 71600 72000 72060 73032 76075 76500 76864 80550 81600 81668 85920 86472 89500 90075 91290 96080 97376 102000 102085 103104 107400 108090 109548 115296 120100 121720 122400 122502 128880 134250 136000 136935 143200 144120 146064 150125 152150 153000 161100 163336 171840 172944 179000 180150 182580 183753 192160 194752 201375 204000 204170 214800 214979 216180 219096 228225 230592 240200 243440 244800 245004 257760 268500 270225 273870 286400 288240 292128 300250 304300 306000 306255 322200 326672 345888 358000 360300 365160 367506 380375 384320 402750 408000 408340 429600 429958 432360 438192 450375 456450 480400 486880 490008 499277 510425 515520 537000 540450 547740 576480 584256 600500 608600 612000 612510 644400 644937 653344 684675 691776 716000 720600 730320 735012 760750 805500 816680 859200 859916 864720 876384 900750 912900 918765 960800 973760 980016 998554 1020850 1074000 1074895 1080900 1095480 1141125 1152960 1201000 1217200 1224000 1225020 1288800 1289874 1306688 1351125 1369350 1432000 1441200 1460640 1470024 1497831 1521500 1531275 1611000 1633360 1719832 1729440 1752768 1801500 1825800 1837530 1921600 1934811 1960032 1997108 2041700 2148000 2149790 2161800 2190960 2282250 2402000 2434400 2450040 2496385 2552125 2577600 2579748 2702250 2738700 2882400 2921280 2940048 2995662 3043000 3062550 3222000 3224685 3266720 3423375 3439664 3458880 3603000 3651600 3654643 3675060 3869622 3920064 3994216 4083400 4296000 4299580 4323600 4381920 4493493 4564500 4593825 4804000 4868800 4900080 4992770 5104250 5159496 5374475 5404500 5477400 5764800 5880096 5991324 6086000 6125100 6444000 6449370 6533440 6846750 6879328 7206000 7303200 7309286 7350120 7489155 7656375 7739244 7988432 8166800 8487709 8599160 8647200 8763840 8986986 9129000 9187650 9608000 9674055 9800160 9985540 10208500 10318992 10748950 10809000 10954800 10963929 11760192 11982648 12172000 12250200 12481925 12888000 12898740 13693500 13758656 14412000 14606400 14618572 14700240 14978310 15312750 15478488 15976864 16123425 16333600 16975418 17198320 17294400 17973972 18258000 18273215 18375300 19348110 19600320 19971080 20417000 20637984 21497900 21618000 21909600 21927858 22467465 22969125 23965296 24344000 24500400 24963850 25463127 25797480 26872375 27387000 28824000 29237144 29400480 29956620 30625500 30956976 31953728 32246850 32667200 32891787 33950836 34396640 35947944 36516000 36546430 36750600 37445775 38696220 39942160 40834000 41275968 42438545 42995800 43236000 43819200 43855716 44934930 45938250 47930592 48370275 49000800 49927700 50926254 51594960 53744750 54774000 54819645 58474288 58800960 59913240 61251000 61913952 62409625 64493700 65783574 67901672 68793280 71895888 73032000 73092860 73501200 74891550 76389381 77392440 79884320 80617125 81668000 84877090 85991600 86472000 87711432 89370583 89869860 91366075 91876500 95861184 96740550 98001600 99855400 101852508 103189920 107489500 109548000 109639290 112337325 116948576 119826480 122502000 123827904 124819250 127315635 128987400 131567148 135803344 143791776 146185720 147002400 149783100 152778762 154784880 159768640 161234250 163336000 164458935 169754180 171983200 175422864 178741166 179739720 182732150 183753000 187228875 193481100 199710800 203705016 206379840 212192725 214979000 219096000 219278580 224674650 233897152 239652960 241851375 245004000 249638500 254631270 257974800 263134296 268111749 271606688 274098225 287583552 292371440 294004800 299566200 305557524 309569760 322468500 328917870 339508360 343966400 350845728 357482332 359479440 365464300 367506000 374457750 381946905 386962200 399421600 407410032 424385450 429958000 438557160 446852915 449349300 456830375 479305920 483702750 490008000 499277000 509262540 515949600 526268592 536223498 543213376 548196450 561686625 584742880 599132400 599631677 611115048 619139520 636578175 644937000 657835740 679016720 701691456 714964664 718958880 730928600 735012000 748915500 763893810 773924400 798843200 804335247 814820064 822294675 848770900 859916000 877114320 893705830 898698600 913660750 967405500 998554000 1018525080 1031899200 1052537184 1060963625 1072446996 1096392900 1123373250 1169485760 1198264800 1199263354 1222230096 1273156350 1289874000 1315671480 1340558745 1358033440 1370491125 1429929328 1437917760 1461857200 1470024000 1497831000 1519299911 1527787620 1547848800 1608670494 1629640128 1644589350 1697541800 1719832000 1754228640 1787411660 1797397200 1798895031 1827321500 1909734525 1934811000 1997108000 2037050160 2105074368 2121927250 2144893992 2192785800 2234264575 2246746500 2396529600 2398526708 2444460192 2546312700 2579748000 2631342960 2681117490 2716066880 2740982250 2859858656 2923714400 2995662000 2998158385 3038599822 3055575240 3095697600 3182890875 3217340988 3289178700 3395083600 3508457280 3574823320 3594794400 3597790062 3654643000 3819469050 3869622000 3994216000 4021676235 4074100320 4111473375 4243854500 4289787984 4385571600 4468529150 4493493000 4557899733 4797053416 4888920384 5092625400 5159496000 5262685920 5362234980 5396685093 5481964500 5719717312 5847428800 5991324000 5996316770 6077199644 6111150480 6365781750 6434681976 6578357400 6702793725 6790167200 7149646640 7189588800 7195580124 7309286000 7596499555 7638938100 7739244000 8043352470 8148200640 8222946750 8487709000 8579575968 8771143200 8937058300 8986986000 8994475155 9115799466 9548672625 9594106832 10185250800 10193738509 10525371840 10724469960 10793370186 10963929000 11171322875 11982648000 11992633540 12154399288 12222300960 12731563500 12869363952 13156714800 13405587450 13580334400 13673699199 14299293280 14391160248 14618572000 14990791925 15192999110 15277876200 15478488000 16086704940 16445893500 16975418000 17159151936 17542286400 17874116600 17973972000 17988950310 18231598932 19097345250 19188213664 20108381175 20370501600 20387477018 21448939920 21586740372 21927858000 22342645750 22789498665 23985267080 24308798576 24444601920 25463127000 25738727904 26313429600 26811174900 26983425465 27347398398 28598586560 28782320496 29237144000 29981583850 30385998220 30555752400 30581215527 32173409880 32891787000 33513968625 33950836000 35748233200 35947944000 35977900620 36463197864 37982497775 38194690500 38376427328 40216762350 40741003200 40774954036 42897879840 43173480744 43855716000 44685291500 44972375775 45578997330 47970534160 48617597152 50926254000 50968692545 51477455808 52626859200 53622349800 53966850930 54694796796 57564640992 59963167700 60771996440 61111504800 61162431054 64346819760 65783574000 67027937250 67901672000 68368495995 71496466400 71955801240 72926395728 74953959625 75964995550 76389381000 80433524700 81549908072 85795759680 86346961488 87711432000 89370583000 89944751550 91157994660 91743646581 95941068320 97235194304 100541905875 101852508000 101937385090 107244699600 107334070183 107933701860 109389593592 113947493325 115129281984 119926335400 121543992880 122223009600 122324862108 128693639520 131567148000 134055874500 134917127325 136736991990 142992932800 143911602480 145852791456 149907919250 151929991100 152778762000 152906077635 160867049400 163099816144 172693922976 178741166000 179889503100 182315989320 183487293162 189912488875 191882136640 201083811750 203705016000 203874770180 214489399200 214668140366 215867403720 218779187184 224861878875 227894986650 239852670800 243087985760 244649724216 254843462725 257387279040 263134296000 268111749000 269834254650 273473983980 287823204960 291705582912 299815838500 303859982200 305557524000 305812155270 321734098800 322002210549 326199632288 341842479975 345387845952 357482332000 359779006200 364631978640 366974586324 379824977750 402167623500 407749540360 428978798400 429336280732 431734807440 437558374368 449723757750 455789973300 458718232905 479705341600 486175971520 489299448432 509686925450 536223498000 536670350915 539668509300 546947967960 569737466625 575646409920 599631677000 607719964400 611115048000 611624310540 643468197600 644004421098 652399264576 674585636625 683684959950 714964664000 719558012400 729263957280 733949172648 759649955500 764530388175 804335247000 815499080720 858672561464 863469614880 875116748736 899447515500 911579946600 917436465810 959410683200 966006631647 978598896864 1019373850900 1072446996000 1073340701830 1079337018600 1093895935920 1139474933250 1199263354000 1215439928800 1223248621080 1274217313625 1286936395200 1288008842196 1349171273250 1367369919900 1439116024800 1458527914560 1467898345296 1519299911000 1529060776350 1608670494000 1610011052745 1630998161440 1709212399875 1717345122928 1726939229760 1798895031000 1823159893200 1824679193111 1834872931620 1932013263294 1957197793728 2038747701800 2144893992000 2146681403660 2158674037200 2187791871840 2278949866500 2293591164525 2398526708000 2430879857600 2446497242160 2548434627250 2576017684392 2683351754575 2698342546500 2734739839800 2878232049600 2935796690592 3038599822000 3058121552700 3217340988000 3220022105490 3261996322880 3418424799750 3434690245856 3597790062000 3646319786400 3649358386222 3669745863240 3822651940875 3864026526588 4077495403600 4293362807320 4317348074400 4375583743680 4557899733000 4587182329050 4797053416000 4830033158235 4892994484320 5096869254500 5152035368784 5366703509150 5396685093000 5469479679600 5474037579333 5871593381184 6077199644000 6116243105400 6434681976000 6440044210980 6836849599500 6869380491712 7195580124000 7292639572800 7298716772444 7339491726480 7645303881750 7728053053176 8050055263725 8154990807200 8586725614640 8634696148800 9115799466000 9123395965555 9174364658100 9660066316470 9785988968640 10193738509000 10304070737568 10733407018300 10793370186000 10938959359200 10948075158666 11467955822625 12154399288000 12232486210800 12880088421960 13416758772875 13673699199000 14391160248000 14597433544888 14678983452960 15290607763500 15456106106352 16100110527450 16309981614400 16422112737999 17173451229280 18231598932000 18246791931110 18348729316200 19320132632940 20387477018000 20608141475136 21466814036600 21586740372000 21877918718400 21896150317332 22935911645250 24150165791175 24464972421600 25760176843920 26833517545750 27347398398000 27370187896665 29194867089776 29357966905920 30581215527000 30912212212704 32200221054900 32844225475998 34346902458560 36463197864000 36493583862220 36697458632400 38640265265880 40250276318625 40774954036000 42933628073200 43173480744000 43792300634664 45616979827775 45871823290500 48300331582350 48929944843200 51520353687840 53667035091500 54694796796000 54740375793330 58389734179552 61162431054000 61824424425408 64400442109800 65688450951996 72987167724440 73394917264800 77280530531760 80500552637250 81549908072000 82110563689995 85867256146400 87584601269328 91233959655550 91743646581000 96600663164700 103040707375680 107334070183000 109389593592000 109480751586660 116779468359104 120750828955875 122324862108000 128800884219600 131376901903992 136850939483325 145974335448880 146789834529600 154561061063520 161001105274500 164221127379990 171734512292800 175169202538656 182467919311100 183487293162000 193201326329400 214668140366000 218961503173320 228084899138875 241501657911750 244649724216000 257601768439200 262753803807984 273701878966650 291948670897760 309122122127040 322002210549000 328442254759980 350338405077312 364935838622200 366974586324000 386402652658800 410552818449975 429336280732000 437923006346640 456169798277750 483003315823500 515203536878400 525507607615968 547403757933300 583897341795520 644004421098000 656884509519960 684254697416625 729871677244400 733949172648000 772805305317600 821105636899950 858672561464000 875846012693280 912339596555500 966006631647000 1051015215231936 1094807515866600 1288008842196000 1313769019039920 1368509394833250 1459743354488800 1545610610635200 1642211273799900 1751692025386560 1824679193111000 1932013263294000 2052764092249875 2189615031733200 2576017684392000 2627538038079840 2737018789666500 2919486708977600 3284422547599800 3649358386222000 3864026526588000 4105528184499750 4379230063466400 5255076076159680 5474037579333000 6568845095199600 7298716772444000 7728053053176000 8211056368999500 8758460126932800 10948075158666000 13137690190399200 14597433544888000 16422112737999000 21896150317332000 26275380380798400 32844225475998000 43792300634664000 65688450951996000 131376901903992000
• Sum of all divisors σ(n): 500799145729184640
• Sum of proper divisors (its aliquot sum) s(n): 369422243825192640
• 131376901903992000 is an abundant number, because the sum of its proper divisors (369422243825192640) is greater than itself. Its abundance is 238045341921200640

Bases of 131376901903992000

• Binary: 111010010101111101001100010100001101011011100010011000000₂
• Hexadecimal: 0x1D2BE98A1ADC4C0
• Base-36: ZXL83JIJSG0

Squares and roots of 131376901903992000

• 131376901903992000 squared (131376901903992000²) is 17259890353891136794785536064000000
• 131376901903992000 cubed (131376901903992000³) is 2267550921896813644260753221103823981567488000000000
• The square root of 131376901903992000 is 362459517.6071280931
• The cube root of 131376901903992000 is 508361.9131189461

Scales and comparisons

• 131,376,901,903,992,000 seconds is equal to 4,177,379,105 years, 5 weeks, 4 days, 4 hours.
• To count from 1 to 131,376,901,903,992,000 would take you about twelve billion, five hundred thirty-two million, one hundred thirty-seven thousand, three hundred fifteen 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 131376901903992000 cubic inches would be around 42363.5 feet tall.

Recreational maths with 131376901903992000

• 131376901903992000 backwards is 000299309109673131
• The number of decimal digits it has is: 18
• The sum of 131376901903992000's digits is 63
• More coming soon!