131407412390800
131,407,412,390,800 is an even composite number composed of seven prime numbers multiplied together.
131407412390800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 131407412390800:
24 × 52 × 7 × 132 × 31 × 412 × 732
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 13 × 31 × 41 × 41 × 73 × 73)See below for interesting mathematical facts about the number 131407412390800 from the Numbermatics database.
Names of 131407412390800
- Cardinal: 131407412390800 can be written as One hundred thirty-one trillion, four hundred seven billion, four hundred twelve million, three hundred ninety thousand, eight hundred.
Scientific notation
- Scientific notation: 1.314074123908 × 1014
Factors of 131407412390800
Divisors of 131407412390800
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 35 40 41 50 52 56 62 65 70 73 80 82 91 100 104 112 124 130 140 146 155 164 169 175 182 200 205 208 217 248 260 280 287 292 310 325 328 338 350 364 365 400 403 410 434 455 496 511 520 533 560 574 584 620 650 656 676 700 728 730 775 806 820 845 868 910 949 1022 1025 1040 1066 1085 1148 1168 1183 1240 1271 1300 1352 1400 1435 1456 1460 1550 1612 1640 1681 1690 1736 1820 1825 1898 2015 2044 2050 2132 2170 2263 2275 2296 2366 2480 2542 2555 2600 2665 2704 2800 2821 2870 2920 2993 3100 3224 3280 3362 3380 3472 3640 3650 3731 3796 4030 4088 4100 4225 4264 4340 4526 4550 4592 4732 4745 5084 5110 5200 5239 5329 5330 5425 5642 5740 5840 5915 5986 6200 6355 6448 6643 6724 6760 6929 7175 7280 7300 7462 7592 8060 8176 8200 8405 8450 8528 8680 8897 9052 9100 9464 9490 10075 10168 10220 10478 10658 10660 10850 11284 11315 11480 11767 11830 11972 12337 12400 12710 12775 13286 13325 13448 13520 13858 14105 14350 14600 14924 14965 15184 15841 16120 16400 16523 16810 16900 17360 17794 18104 18200 18655 18928 18980 20150 20336 20440 20951 20956 21316 21320 21700 21853 22568 22630 22960 23534 23660 23725 23944 24674 25420 25550 26195 26572 26645 26650 26896 27716 28210 28700 29200 29419 29575 29848 29930 31682 31775 32240 33046 33215 33620 33800 34645 35588 36208 36400 36673 37303 37310 37960 38909 40300 40880 41902 41912 42025 42632 42640 43400 43706 44485 45136 45260 47068 47320 47450 47888 48503 49348 50840 51100 52111 52390 53144 53290 53300 55432 56420 56575 57400 58835 58838 59150 59696 59860 61685 63364 63550 66092 66430 67240 67600 69277 69290 70525 71176 73346 74606 74620 74825 75920 77818 79205 80600 82615 83804 83824 84050 85264 86359 86800 87412 88970 90520 92783 93275 94136 94640 94900 97006 98696 101680 102200 104222 104755 104780 106288 106580 106600 109265 110864 112840 113150 114800 115661 117670 117676 118300 119720 122713 123370 126728 127100 130975 132184 132860 133225 134480 138554 138580 141050 142352 146692 147095 149212 149240 149650 152971 155636 158410 161200 165199 165230 166075 167608 168100 172718 173225 174824 177940 181040 183365 185566 186515 186550 188272 189800 194012 194545 197392 204400 205933 208444 209510 209560 213160 213200 214799 218489 218530 222425 225680 226300 231322 235340 235352 236600 239440 242515 245426 246740 253456 254200 260555 261950 264368 265720 266450 272363 277108 277160 282100 284089 293384 294175 294190 298424 298480 299300 305942 308425 311272 316820 330398 330460 332150 335216 336200 345436 346385 346450 349648 355880 364777 366730 371132 373030 373100 379600 382447 388024 389090 396025 411866 413075 416888 419020 419120 426320 429598 431795 436978 437060 444850 452600 462644 463915 470680 470704 473200 484939 485030 490852 493480 505817 508400 521110 523775 523900 531440 532900 544726 546325 554216 554320 564200 568178 578305 586768 588350 588380 596848 598600 611884 613565 616850 622544 633640 649481 660796 660920 664300 672400 677443 690872 692770 692900 711760 729554 733460 735475 742264 746060 746200 764855 764894 776048 778180 792050 823732 825995 826150 833776 838040 858991 859196 863590 873956 874120 889700 900601 905200 916825 925288 927830 932575 941360 969878 970060 972725 981704 986960 1011634 1029665 1042220 1047550 1047800 1065800 1073995 1089452 1092445 1092650 1108432 1128400 1136356 1156393 1156610 1176700 1176760 1197200 1206179 1212575 1223768 1227130 1233700 1267280 1298962 1302775 1321592 1321840 1328600 1354886 1361815 1381744 1385540 1385800 1420445 1459108 1466920 1470950 1484528 1492120 1492400 1503593 1529423 1529710 1529788 1556360 1584100 1595269 1647464 1651990 1652300 1676080 1717982 1718392 1727180 1731925 1747912 1748240 1779400 1801202 1823885 1833650 1850576 1855660 1865150 1912235 1939756 1940120 1945450 1963408 1988623 2023268 2059330 2084440 2095100 2095600 2131600 2147587 2147990 2158975 2178904 2184890 2185300 2272712 2312786 2313220 2319575 2353400 2353520 2412358 2424695 2425150 2447536 2454260 2467400 2529085 2597924 2605550 2643184 2657200 2677129 2709772 2723630 2771080 2771600 2840357 2840890 2891525 2918216 2933840 2941900 2984240 3007186 3058846 3059420 3059576 3067825 3112720 3168200 3190538 3247405 3294928 3303980 3304600 3387215 3435964 3436784 3454360 3463850 3495824 3540719 3558800 3602404 3647770 3667300 3711320 3730300 3804103 3824275 3824470 3879512 3880240 3890900 3977246 4046536 4118660 4129975 4168880 4190200 4294955 4295174 4295980 4317950 4357808 4369780 4370600 4503005 4545424 4625572 4626440 4639150 4706800 4742101 4824716 4849390 4850300 4908520 4934800 5058170 5148325 5195848 5211100 5354258 5369975 5419544 5447260 5462225 5542160 5680714 5681780 5781965 5783050 5836432 5883800 6014372 6030895 6117692 6118840 6119152 6135650 6304207 6336400 6381076 6494810 6607960 6609200 6773159 6774430 6809075 6871928 6908720 6927700 7081438 7102225 7204808 7295540 7334600 7422640 7460600 7517965 7608206 7647115 7648550 7648940 7759024 7781800 7954492 7976345 8093072 8237320 8259950 8380400 8443253 8589910 8590348 8591960 8635900 8739560 8741200 8806759 8958049 9006010 9119425 9251144 9252880 9278300 9484202 9561175 9649432 9698780 9700600 9817040 9943115 10116340 10296650 10391696 10422200 10708516 10737935 10739950 10839088 10894520 10924450 11166883 11361428 11363560 11563930 11566100 11767600 12028744 12061790 12123475 12235384 12237680 12271300 12608414 12645425 12762152 12989620 13215920 13385645 13546318 13548860 13618150 13743856 13855400 14162876 14201785 14204450 14409616 14591080 14669200 14921200 15033109 15035930 15216412 15294230 15297100 15297880 15563600 15680327 15908984 15952690 16237025 16474640 16519900 16886506 16936075 17179820 17180696 17183920 17271800 17479120 17613518 17703595 17916098 18012020 18238850 18502288 18556600 18968404 19020515 19122350 19298864 19397560 19401200 19882499 19886230 20232680 20593300 20738497 20844400 21417032 21474775 21475870 21479900 21789040 21848900 22333766 22515025 22722856 22727120 23127860 23132200 23710505 24057488 24123580 24246950 24470768 24542600 25216828 25290850 25524304 25979240 26628721 26771290 27092636 27097720 27236300 27710800 27918631 28325752 28403570 28408900 28909825 29182160 30066218 30071860 30154475 30432824 30588460 30594200 30595760 31360654 31521035 31817968 31905380 32474050 33039800 33773012 33865795 33872150 34359640 34361392 34543600 35227036 35407190 35832196 36024040 36477700 36924641 37113200 37589825 37936808 38041030 38235575 38244700 38795120 39764998 39772460 39881725 40465360 41186600 41476994 42216265 42834064 42949550 42951740 42959800 43697800 44033795 44667532 44790245 45030050 45445712 46255720 46264400 47412113 47421010 48247160 48493900 49085200 49453339 49715575 50433656 50581700 51958480 53257442 53542580 53689675 54185272 54195440 54472600 55834415 55837262 56651504 56807140 56817800 57819650 60132436 60143720 60308950 60865648 61176920 61188400 61647313 62706343 62721308 63042070 63810760 64948100 66079600 66928225 67546024 67731590 67744300 68719280 70454072 70814380 71008925 71664392 72048080 72955400 73849282 75165545 75179650 75873616 76082060 76471150 76489400 78401635 79529996 79544920 79763450 82373200 82953988 84432530 85899100 85903480 85919600 87395600 88051067 88067590 88517975 89335064 89580490 90060100 92511440 94824226 94842020 95102575 96494320 96987800 98906678 99412495 99431150 100867312 101163400 103692485 106514884 107085160 107379350 108370544 108945200 109762289 111668830 111674524 113614280 113635600 115639300 116454637 118552525 120264872 120287440 120617900 122353840 123294626 125412686 125442616 126084140 127621520 129896200 133143605 133856450 135092048 135463180 135488600 139593155 140908144 141628760 142017850 143328784 145169479 145910800 147698564 150331090 150359300 152164120 152942300 152978800 156803270 157605175 159059992 159089840 159526900 165907976 168865060 169328975 171798200 171806960 176102134 176135180 177035950 178670128 179160980 180120200 184623205 189648452 189684040 190205150 193975600 195430417 197813356 198824990 198862300 202326800 207384970 211081325 213029768 214170320 214758700 219524578 220168975 223337660 223349048 223951225 227228560 231278600 232909274 237060565 237105050 240529744 241235800 246589252 247266695 250825372 250885232 252168280 258472487 259792400 266287210 267712900 270926360 270977200 277699519 279172075 279186310 283257520 284035700 290338958 295397128 300662180 300718600 304328240 305884600 308236565 313531715 313606540 315210350 318119984 319053800 331815952 337730120 338657950 343596400 346173373 352204268 352270360 354071900 358321960 360240400 369246410 375827725 379296904 379368080 380410300 390860834 392008175 395626712 397649980 397724600 414769940 422162650 426059536 429517400 439049156 440255335 440337950 446675320 446698096 447902450 462557200 465818548 474121130 474210100 482471600 493178504 494533390 497062475 501650744 504336560 516944974 518462425 532574420 535425800 541852720 548811445 555399038 558344150 558372620 568071400 580677916 582273185 590794256 601324360 601437200 611769200 616357469 616473130 627063430 627213080 630420700 638107600 642893407 665718025 675460240 677315900 692346746 697965775 704408536 704540720 708143800 716643920 725847395 738492820 751655450 758593808 760820600 781721668 784016350 791253424 795299960 795449200 815182459 829539880 844325300 859034800 878098312 880510670 880675900 893350640 895804900 923116025 931637096 948242260 948420200 977152085 986357008 989066780 994124950 1003301488 1033889948 1036924850 1065148840 1070851600 1097622890 1110798076 1116688300 1116745240 1136142800 1144663871 1161355832 1164546370 1185302825 1202648720 1232714938 1232946260 1236333475 1254126860 1254426160 1260841400 1285786814 1292362435 1331436050 1354631800 1384693492 1388497595 1395931550 1408817072 1416287600 1451694790 1476985640 1503310900 1513910281 1521641200 1541182825 1563443336 1567658575 1568032700 1590599920 1630364918 1659079760 1688650600 1730866865 1756196624 1761021340 1761351800 1791609800 1846232050 1863274192 1896484520 1896840400 1943896633 1954304170 1978133560 1988249900 2067779896 2073849700 2130297680 2195245780 2201276675 2221596152 2233376600 2233490480 2289327742 2322711664 2329092740 2370605650 2465429876 2465892520 2472666950 2508253720 2521682800 2571573628 2584724870 2662872100 2709263600 2744057225 2769386984 2776995190 2791863100 2903389580 2911365925 2953971280 3006621800 3027820562 3081787345 3082365650 3126886672 3135317150 3136065400 3214467035 3260729836 3377301200 3461733730 3522042680 3522703600 3583219600 3610093747 3629236975 3692464100 3792969040 3887793266 3908608340 3956267120 3976499800 4075912295 4135559792 4147699400 4390491560 4402553350 4443192304 4466753200 4500253849 4578655484 4658185480 4741211300 4885760425 4930859752 4931785040 4945333900 5016507440 5143147256 5169449740 5325744200 5488114450 5538773968 5553990380 5583726200 5723319355 5806779160 5822731850 6013243600 6055641124 6163574690 6164731300 6270634300 6272130800 6428934070 6461812175 6521459672 6923467460 6942487975 7044085360 7220187494 7258473950 7384928200 7569551405 7775586532 7817216680 7952999600 8012647097 8151824590 8295398800 8654334325 8780983120 8805106700 9000507698 9157310968 9316370960 9482422600 9719483165 9771520850 9861719504 9890667800 10286294512 10338899480 10597371967 10651488400 10976228900 11107980760 11167452400 11446638710 11613558320 11645463700 12111282248 12327149380 12329462600 12541268600 12857868140 12923624350 13042919344 13846934920 13884975950 14440374988 14516947900 14769856400 15139102810 15408936725 15551173064 15634433360 16025294194 16072335175 16303649180 17308668650 17610213400 18001015396 18050468735 18314621936 18964845200 19438966330 19543041700 19781335600 20379561475 20677798960 21194743934 21952457800 22215961520 22501269245 22893277420 23290927400 24222564496 24654298760 24658925200 25082537200 25270656229 25715736280 25847248700 27693869840 27769951900 28616596775 28880749976 29033895800 30278205620 30817873450 31102346128 32050588388 32144670350 32607298360 34617337300 35220426800 36002030792 36100937470 37847757025 38877932660 39086083400 40063235485 40759122950 42389487868 43904915600 45002538490 45786554840 46581854800 46931218711 48597415825 49308597520 50541312458 51431472560 51694497400 52986859835 55539903800 57233193550 57761499952 58067791600 60556411240 61635746900 64101176776 64289340700 65214596720 69234674600 72004061584 72201874940 75695514050 77755865320 78172166800 80126470970 81518245900 84778975736 90005076980 90252343675 91573109680 93862437422 97194831650 101082624916 103388994800 105973719670 111079807600 112506346225 114466387100 121112822480 123271493800 126353281145 128202353552 128578681400 138469349200 144403749880 151391028100 155511730640 160252941940 163036491800 169557951472 180010153960 180504687350 187724874844 194389663300 200316177425 202165249832 211947439340 225012692450 228932774200 234656093555 246542987600 252706562290 257157362800 264934299175 288807499760 302782056200 320505883880 326072983600 328518530977 360020307920 361009374700 375449749688 388779326600 400632354850 404330499664 423894878680 450025384900 457865548400 469312187110 505413124580 529868598350 605564112400 631766405725 641011767760 657037061954 722018749400 750899499376 777558653200 801264709700 847789757360 900050769800 938624374220 1010826249160 1059737196700 1173280467775 1263532811450 1314074123908 1444037498800 1602529419400 1642592654885 1800101539600 1877248748440 2021652498320 2119474393400 2346560935550 2527065622900 2628148247816 3205058838800 3285185309770 3754497496880 4238948786800 4693121871100 5054131245800 5256296495632 6570370619540 8212963274425 9386243742200 10108262491600 13140741239080 16425926548850 18772487484400 26281482478160 32851853097700 65703706195400 131407412390800
- Sum of all divisors σ(n): 419116431474432
- Sum of proper divisors (its aliquot sum) s(n): 287709019083632
- 131407412390800 is an abundant number, because the sum of its proper divisors (287709019083632) is greater than itself. Its abundance is 156301606692832
Bases of 131407412390800
- Binary: 111011110000011101011000010001011101011100100002
- Hexadecimal: 0x7783AC22EB90
- Base-36: 1AKVQCHY8G
Squares and roots of 131407412390800
- 131407412390800 squared (1314074123908002) is 17267908031245777371924640000
- 131407412390800 cubed (1314074123908003) is 2269131111788321198983628198379829312000000
-
The
square root of 131407412390800 is 11463307.2187218295 -
The
cube root of 131407412390800 is 50840.1263437719
Scales and comparisons
How big is 131407412390800?- 131,407,412,390,800 seconds is equal to 4,178,349 years, 12 weeks, 4 days, 21 hours, 26 minutes, 40 seconds.
-
To count from 1 to 131,407,412,390,800 would take you about ten million, four hundred forty-five thousand, eight hundred seventy-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 131407412390800 cubic inches would be around 4236.7 feet tall.
Recreational maths with 131407412390800
- 131407412390800 backwards is 008093214704131
- The number of decimal digits it has is: 15
- The sum of 131407412390800's digits is 43
- More coming soon!
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"Number 131407412390800 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 131407412390800 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/131407412390800/
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The information we have on file for 131407412390800 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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