131042438157312
131,042,438,157,312 is an even composite number composed of six prime numbers multiplied together.
What does the number 131042438157312 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1056 divisors.
131042438157312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 131042438157312:
210 × 33 × 112 × 17 × 1103 × 2089
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 17 × 1103 × 2089)See below for interesting mathematical facts about the number 131042438157312 from the Numbermatics database.
Names of 131042438157312
- Cardinal: 131042438157312 can be written as One hundred thirty-one trillion, forty-two billion, four hundred thirty-eight million, one hundred fifty-seven thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.31042438157312 × 1014
Factors of 131042438157312
Divisors of 131042438157312
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 54 64 66 68 72 88 96 99 102 108 121 128 132 136 144 153 176 187 192 198 204 216 242 256 264 272 288 297 306 352 363 374 384 396 408 432 459 484 512 528 544 561 576 594 612 704 726 748 768 792 816 864 918 968 1024 1056 1088 1089 1103 1122 1152 1188 1224 1408 1452 1496 1536 1584 1632 1683 1728 1836 1936 2057 2089 2112 2176 2178 2206 2244 2304 2376 2448 2816 2904 2992 3072 3168 3264 3267 3309 3366 3456 3672 3872 4114 4178 4224 4352 4356 4412 4488 4608 4752 4896 5049 5632 5808 5984 6171 6267 6336 6528 6534 6618 6732 6912 7344 7744 8228 8356 8448 8704 8712 8824 8976 9216 9504 9792 9927 10098 11264 11616 11968 12133 12342 12534 12672 13056 13068 13236 13464 13824 14688 15488 16456 16712 16896 17408 17424 17648 17952 18513 18751 18801 19008 19584 19854 20196 22979 23232 23936 24266 24684 25068 25344 26112 26136 26472 26928 27648 29376 29781 30976 32912 33424 33792 34848 35296 35513 35904 36399 37026 37502 37602 38016 39168 39708 40392 45958 46464 47872 48532 49368 50136 50688 52224 52272 52944 53856 55539 56253 56403 58752 59562 61952 65824 66848 68937 69696 70592 71026 71808 72798 74052 75004 75204 76032 78336 79416 80784 91916 92928 95744 97064 98736 100272 101376 104544 105888 106539 107712 109197 111078 112506 112806 117504 119124 123904 131648 133463 133696 137874 139392 141184 142052 143616 145596 148104 150008 150408 152064 156672 158832 161568 168759 183832 185856 191488 194128 197472 200544 206261 206811 209088 211776 213078 215424 218394 222156 225012 225612 235008 238248 252769 263296 266926 267392 275748 278784 282368 284104 287232 291192 296208 300016 300816 304128 317664 319617 323136 327591 337518 367664 371712 388256 390643 394944 400389 401088 412522 413622 418176 423552 426156 430848 436788 444312 450024 451224 470016 476496 505538 506277 526592 533852 534784 551496 557568 564736 568208 574464 582384 592416 600032 601632 618783 620433 635328 639234 646272 655182 675036 735328 758307 776512 781286 789888 800778 802176 825044 827244 836352 847104 852312 861696 873576 888624 900048 902448 952992 958851 1011076 1012554 1053184 1067704 1069568 1102992 1115136 1129472 1136416 1164768 1171929 1184832 1200064 1201167 1203264 1237566 1240866 1270656 1278468 1292544 1310364 1350072 1470656 1516614 1553024 1562572 1579776 1601556 1604352 1650088 1654488 1672704 1694208 1704624 1723392 1747152 1777248 1800096 1804896 1856349 1905984 1917702 2022152 2025108 2106368 2135408 2139136 2205984 2268871 2272832 2274921 2304167 2329536 2343858 2369664 2400128 2402334 2406528 2475132 2481732 2541312 2556936 2585088 2620728 2700144 2941312 3033228 3106048 3125144 3159552 3203112 3208704 3300176 3308976 3345408 3388416 3409248 3494304 3515787 3554496 3600192 3603501 3609792 3712698 3811968 3835404 4044304 4050216 4270816 4297073 4411968 4537742 4545664 4549842 4608334 4659072 4687716 4739328 4800256 4804668 4813056 4950264 4963464 5082624 5113872 5170176 5241456 5400288 5569047 5882624 6066456 6212096 6250288 6319104 6406224 6417408 6600352 6617952 6806613 6818496 6824763 6912501 6988608 7031574 7108992 7200384 7207002 7219584 7425396 7623936 7670808 8088608 8100432 8541632 8594146 8823936 9075484 9091328 9099684 9216668 9318144 9375432 9478656 9600512 9609336 9626112 9900528 9926928 10165248 10227744 10482912 10547361 10800576 11138094 11765248 12132912 12424192 12500576 12812448 12891219 13200704 13235904 13613226 13636992 13649526 13825002 13977216 14063148 14217984 14400768 14414004 14439168 14850792 15247872 15341616 16177216 16200864 17083264 17188292 17647872 18150968 18182656 18199368 18433336 18636288 18750864 18957312 19201024 19218672 19252224 19801056 19853856 20419839 20455488 20737503 20965824 21094722 21601152 22276188 23530496 24265824 25001152 25345837 25624896 25782438 26401408 26471808 27226452 27273984 27299052 27650004 27954432 28126296 28435968 28801536 28828008 28878336 29701584 30495744 30683232 32354432 32401728 34166528 34376584 35295744 36301936 36365312 36398736 36866672 37272576 37501728 38437344 38673657 39170839 39602112 39707712 40839678 40910976 41475006 41931648 42189444 43202304 44552376 48531648 50002304 50691674 51249792 51564876 52802816 52943616 54452904 54547968 54598104 55300008 55908864 56252592 56871936 57603072 57656016 57756672 59403168 61259517 61366464 62212509 64708864 64803456 68333056 68753168 70591488 72603872 72797472 73733344 75003456 76037511 76874688 77347314 78341678 79204224 79415424 81679356 81821952 82950012 83863296 84378888 86404608 89104752 97063296 100004608 101383348 102499584 103129752 105605632 105887232 108905808 109095936 109196208 110600016 111817728 112505184 115312032 116020971 117512517 118806336 122519034 122732928 124425018 129417728 129606912 136666112 137506336 145207744 145594944 147466688 150006912 152075022 153749376 154694628 156683356 158408448 158830848 163358712 163643904 165900024 167726592 168757776 172809216 178209504 194126592 200009216 202766696 204999168 206259504 211211264 211774464 217811616 218392416 221200032 225010368 228112533 230624064 232041942 235025034 237612672 245038068 245465856 248850036 258835456 259213824 275012672 278804207 290415488 291189888 294933376 300013824 304150044 307498752 309389256 313366712 316816896 317661696 326717424 327287808 331800048 335453184 337515552 352537551 356419008 388253184 400018432 405533392 409998336 412519008 430879229 435623232 436784832 442400064 450020736 456225066 461248128 464083884 470050068 475225344 490076136 490931712 497700072 518427648 550025344 557608414 580830976 582379776 589866752 600027648 608300088 614997504 618778512 626733424 633633792 635323392 653434848 663600096 675031104 684337599 705075102 712838016 776506368 811066784 825038016 836412621 861758458 871246464 873569664 884800128 900041472 912450132 922496256 928167768 940100136 950450688 980152272 981863424 995400144 1057612653 1100050688 1115216828 1161661952 1164759552 1179733504 1200055296 1216600176 1229995008 1237557024 1253466848 1292637687 1306869696 1327200192 1350062208 1368675198 1410150204 1425676032 1622133568 1650076032 1672825242 1723516916 1742492928 1747139328 1769600256 1800082944 1824900264 1844992512 1856335536 1880200272 1900901376 1960304544 1990800288 2115225306 2200101376 2230433656 2323323904 2329519104 2359467008 2433200352 2475114048 2506933696 2509237863 2585275374 2613739392 2654400384 2700124416 2737350396 2820300408 2851352064 3244267136 3300152064 3345650484 3447033832 3484985856 3494278656 3539200512 3600165888 3649800528 3689985024 3712671072 3760400544 3877913061 3920609088 3981600576 4230450612 4400202752 4460867312 4739671519 4866400704 4950228096 5013867392 5018475726 5170550748 5227478784 5308800768 5400248832 5474700792 5640600816 5702704128 6488534272 6600304128 6691300968 6894067664 6969971712 6988557312 7078401024 7299601056 7425342144 7520801088 7527713589 7755826122 7841218176 7963201152 8460901224 8921734624 9479343038 9732801408 9900456192 10027734784 10036951452 10341101496 10454957568 10617601536 10800497664 10949401584 11281201632 11633739183 12977068544 13200608256 13382601936 13788135328 14219014557 14599202112 14850684288 15041602176 15055427178 15511652244 15682436352 15926402304 16921802448 17843469248 18958686076 19465602816 19800912384 20055469568 20073902904 20682202992 20909915136 21235203072 21898803168 22562403264 23267478366 25954137088 26765203872 27576270656 28438029114 29198404224 29701368576 30083204352 30110854356 31023304488 31364872704 31852804608 33843604896 35686938496 37917372152 38931205632 39601824768 40110939136 40147805808 41364405984 42657043671 43797606336 45124806528 46534956732 53530407744 55152541312 56876058228 58396808448 59402737152 60166408704 60221708712 62046608976 62729745408 63705609216 67687209792 71373876992 75834744304 77862411264 80295611616 82728811968 85314087342 87595212672 90249613056 93069913464 107060815488 110305082624 113752116456 116793616896 118805474304 120332817408 120443417424 124093217952 127971131013 135374419584 142747753984 151669488608 160591223232 165457623936 170628174684 175190425344 180499226112 186139826928 214121630976 220610165248 227504232912 233587233792 240886834848 248186435904 255942262026 270748839168 285495507968 303338977216 321182446464 330915247872 341256349368 350380850688 360998452224 372279653856 428243261952 441220330496 455008465824 481773669696 496372871808 511884524052 541497678336 606677954432 642364892928 661830495744 682512698736 700761701376 744559307712 856486523904 910016931648 963547339392 992745743616 1023769048104 1082995356672 1213355908864 1284729785856 1323660991488 1365025397472 1489118615424 1820033863296 1927094678784 1985491487232 2047538096208 2426711817728 2569459571712 2730050794944 2978237230848 3640067726592 3854189357568 3970982974464 4095076192416 4853423635456 5460101589888 5956474461696 7280135453184 7708378715136 8190152384832 10920203179776 11912948923392 14560270906368 16380304769664 21840406359552 32760609539328 43680812719104 65521219078656 131042438157312
- Sum of all divisors σ(n): 452290368499200
- Sum of proper divisors (its aliquot sum) s(n): 321247930341888
- 131042438157312 is an abundant number, because the sum of its proper divisors (321247930341888) is greater than itself. Its abundance is 190205492184576
Bases of 131042438157312
- Binary: 111011100101110101100011111101000010100000000002
- Hexadecimal: 0x772EB1FA1400
- Base-36: 1AG82C9HC0
Squares and roots of 131042438157312
- 131042438157312 squared (1310424381573122) is 17172120598212940038059065344
- 131042438157312 cubed (1310424381573123) is 2250276551521222741281146733946216359395328
-
The
square root of 131042438157312 is 11447376.9116471395 -
The
cube root of 131042438157312 is 50793.0144874829
Scales and comparisons
How big is 131042438157312?- 131,042,438,157,312 seconds is equal to 4,166,744 years, 10 weeks, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 131,042,438,157,312 would take you about ten million, four hundred sixteen thousand, eight hundred sixty 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 131042438157312 cubic inches would be around 4232.8 feet tall.
Recreational maths with 131042438157312
- 131042438157312 backwards is 213751834240131
- The number of decimal digits it has is: 15
- The sum of 131042438157312's digits is 45
- More coming soon!
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The information we have on file for 131042438157312 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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