131013455372697600
131,013,455,372,697,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 131013455372697600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2700 divisors.
131013455372697600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 131013455372697600:
214 × 34 × 52 × 17 × 4612 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 461 × 461 × 1093)See below for interesting mathematical facts about the number 131013455372697600 from the Numbermatics database.
Names of 131013455372697600
- Cardinal: 131013455372697600 can be written as One hundred thirty-one quadrillion, thirteen trillion, four hundred fifty-five billion, three hundred seventy-two million, six hundred ninety-seven thousand, six hundred.
Scientific notation
- Scientific notation: 1.310134553726976 × 1017
Factors of 131013455372697600
Divisors of 131013455372697600
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 128 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 255 256 270 272 288 300 306 320 324 340 360 384 400 405 408 425 432 450 459 461 480 510 512 540 544 576 600 612 640 648 675 680 720 765 768 800 810 816 850 864 900 918 922 960 1020 1024 1080 1088 1093 1152 1200 1224 1275 1280 1296 1350 1360 1377 1383 1440 1530 1536 1600 1620 1632 1700 1728 1800 1836 1844 1920 2025 2040 2048 2160 2176 2186 2295 2304 2305 2400 2448 2550 2560 2592 2700 2720 2754 2766 2880 3060 3072 3200 3240 3264 3279 3400 3456 3600 3672 3688 3825 3840 4050 4080 4096 4149 4320 4352 4372 4590 4608 4610 4800 4896 5100 5120 5184 5400 5440 5465 5508 5532 5760 6120 6144 6400 6480 6528 6558 6800 6885 6912 6915 7200 7344 7376 7650 7680 7837 8100 8160 8192 8298 8640 8704 8744 9180 9216 9220 9600 9792 9837 10200 10240 10368 10800 10880 10930 11016 11064 11475 11520 11525 12240 12288 12447 12800 12960 13056 13116 13600 13770 13824 13830 14400 14688 14752 15300 15360 15674 16200 16320 16384 16395 16596 17280 17408 17488 18360 18432 18440 18581 19200 19584 19674 20400 20480 20736 20745 21600 21760 21860 22032 22128 22950 23040 23050 23511 24480 24576 24894 25600 25920 26112 26232 27200 27325 27540 27648 27660 28800 29376 29504 29511 30600 30720 31348 32400 32640 32790 33192 34425 34560 34575 34816 34976 36720 36864 36880 37162 37341 38400 39168 39185 39348 40800 40960 41472 41490 43200 43520 43720 44064 44256 45900 46080 46100 47022 48960 49152 49185 49788 51200 51840 52224 52464 54400 54650 55080 55296 55320 55743 57600 58752 59008 59022 61200 61440 62235 62696 64800 65280 65580 66384 68850 69120 69150 69632 69952 70533 73440 73728 73760 74324 74682 76800 78336 78370 78696 81600 81920 81975 82944 82980 86400 87040 87440 88128 88512 88533 91800 92160 92200 92905 94044 97920 98370 99576 102400 103680 103725 104448 104928 108800 109300 110160 110592 110640 111486 115200 117504 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370044331200 371495485440 371656724800 374581013760 376302433860 379089859296 391718707200 394713953280 394885270100 399553081344 401389262784 416201126400 417932421120 418113815400 421028216832 426476091708 438571059200 440683545600 443947868160 444053197440 445988069760 464369356800 468226267200 470062448640 470378042325 473656743936 473862324120 475720607744 493392441600 499441351680 501736578480 505453145728 522415526400 526285271040 532737441792 533095114635 535185683712 554934835200 555066496800 557243228160 557485087200 568634788944 587578060800 592070929920 592327905150 594650759680 599329622016 602083894176 616472985600 619159142400 624301689600 627170723100 631542325248 631816432160 639714137562 657856588800 665921802240 668691873792 668982104640 696554035200 701713694720 705093672960 710485115904 710793486180 713580911616 739913113600 740088662400 743313449600 749162027520 752604867720 758179718592 783437414400 789427906560 789770540200 799106162688 802778525568 832402252800 835864842240 836227630800 852952183416 877142118400 881367091200 887895736320 888106394880 888491857725 891976139520 928738713600 936452534400 940756084650 947313487872 947724648240 951441215488 986784883200 998882703360 1003473156960 1010906291456 1044831052800 1052570542080 1066190229270 1070371367424 1109869670400 1110132993600 1114486456320 1114970174400 1137269577888 1175156121600 1184141859840 1184655810300 1189301519360 1198659244032 1204167788352 1248603379200 1254341446200 1263084650496 1263632864320 1279428275124 1315713177600 1331843604480 1337964209280 1393108070400 1410187345920 1420970231808 1421586972360 1427161823232 1479826227200 1480177324800 1486626899200 1498324055040 1505209735440 1516359437184 1578855813120 1579541080400 1598212325376 1599285343905 1605557051136 1664804505600 1671729684480 1672455261600 1705904366832 1754284236800 1762734182400 1776212789760 1776983715450 1783952279040 1857477427200 1872905068800 1881512169300 1894626975744 1895449296480 1902882430976 1973569766400 1997765406720 2006946313920 2021812582912 2089662105600 2105141084160 2132380458540 2140742734848 2219739340800 2220265987200 2229940348800 2274539155776 2350312243200 2368283719680 2369311620600 2378603038720 2397318488064 2408335576704 2497206758400 2508682892400 2527265728640 2558856550248 2631426355200 2663687208960 2665475573175 2675928418560 2786216140800 2841940463616 2843173944720 2854323646464 2960354649600 2973253798400 2996648110080 3010419470880 3032718874368 3157711626240 3159082160800 3198570687810 3211114102272 3329609011200 3343459368960 3344910523200 3411808733664 3508568473600 3525468364800 3552425579520 3553967430900 3567904558080 3745810137600 3763024338600 3789253951488 3790898592960 3805764861952 3947139532800 3995530813440 4013892627840 4043625165824 4179324211200 4264760917080 4281485469696 4439478681600 4440531974400 4459880697600 4549078311552 4736567439360 4738623241200 4757206077440 4794636976128 4816671153408 4994413516800 5017365784800 5054531457280 5117713100496 5262852710400 5330951146350 5351856837120 5572432281600 5683880927232 5686347889440 5708647292928 5920709299200 5946507596800 5993296220160 6020838941760 6065437748736 6315423252480 6318164321600 6397141375620 6422228204544 6659218022400 6689821046400 6823617467328 7050936729600 7104851159040 7107934861800 7135809116160 7491620275200 7526048677200 7581797185920 7894279065600 7991061626880 7996426719525 8027785255680 8087250331648 8358648422400 8529521834160 8562970939392 8881063948800 8919761395200 9098156623104 9473134878720 9477246482400 9514412154880 9633342306816 9988827033600 10034731569600 10109062914560 10235426200992 10525705420800 10661902292700 10703713674240 11367761854464 11372695778880 11417294585856 11841418598400 11893015193600 11986592440320 12041677883520 12130875497472 12636328643200 12794282751240 12844456409088 13318436044800 13379642092800 13647234934656 14209702318080 14215869723600 14271618232320 14983240550400 15052097354400 15163594371840 15788558131200 15992853439050 16055570511360 16174500663296 16717296844800 17059043668320 17125941878784 17762127897600 17839522790400 18196313246208 18946269757440 18954492964800 19028824309760 19266684613632 19977654067200 20069463139200 20218125829120 20470852401984 21323804585400 21407427348480 22745391557760 23682837196800 23786030387200 23973184880640 24083355767040 24261750994944 25272657286400 25588565502480 25688912818176 26759284185600 27294469869312 28419404636160 28431739447200 28543236464640 29966481100800 30104194708800 30327188743680 31577116262400 31985706878100 32111141022720 32349001326592 34118087336640 34251883757568 35524255795200 35679045580800 36392626492416 37908985929600 38533369227264 39955308134400 40138926278400 40436251658240 40941704803968 42647609170800 42814854696960 45490783115520 47365674393600 47572060774400 48166711534080 48523501989888 50545314572800 51177131004960 51377825636352 53518568371200 54588939738624 56838809272320 56863478894400 57086472929280 59932962201600 60208389417600 60654377487360 63971413756200 64222282045440 64698002653184 68236174673280 71048511590400 71358091161600 72785252984832 75817971859200 77066738454528 80277852556800 80872503316480 81883409607936 85295218341600 85629709393920 90981566231040 94731348787200 95144121548800 96333423068160 97047003979776 101090629145600 102354262009920 102755651272704 107037136742400 109177879477248 113726957788800 119865924403200 120416778835200 121308754974720 127942827512400 128444564090880 136472349346560 142097023180800 142716182323200 145570505969664 151635943718400 154133476909056 160555705113600 161745006632960 163766819215872 170590436683200 171259418787840 181963132462080 192666846136320 194094007959552 202181258291200 204708524019840 214074273484800 218355758954496 227453915577600 240833557670400 242617509949440 255885655024800 256889128181760 272944698693120 284194046361600 285432364646400 291141011939328 303271887436800 308266953818112 321111410227200 323490013265920 327533638431744 341180873366400 363926264924160 385333692272640 404362516582400 409417048039680 428148546969600 436711517908992 454907831155200 481667115340800 485235019898880 511771310049600 513778256363520 545889397386240 582282023878656 606543774873600 642222820454400 655067276863488 682361746732800 727852529848320 770667384545280 808725033164800 818834096079360 856297093939200 873423035817984 909815662310400 963334230681600 970470039797760 1023542620099200 1091778794772480 1213087549747200 1284445640908800 1310134553726976 1364723493465600 1455705059696640 1541334769090560 1617450066329600 1637668192158720 1746846071635968 1819631324620800 1926668461363200 2047085240198400 2183557589544960 2426175099494400 2568891281817600 2620269107453952 2729446986931200 2911410119393280 3275336384317440 3639262649241600 3853336922726400 4094170480396800 4367115179089920 4852350198988800 5240538214907904 5458893973862400 6550672768634880 7278525298483200 7706673845452800 8188340960793600 8734230358179840 10917787947724800 13101345537269760 14557050596966400 16376681921587200 21835575895449600 26202691074539520 32753363843174400 43671151790899200 65506727686348800 131013455372697600
- Sum of all divisors σ(n): 515487943754565012
- Sum of proper divisors (its aliquot sum) s(n): 384474488381867412
- 131013455372697600 is an abundant number, because the sum of its proper divisors (384474488381867412) is greater than itself. Its abundance is 253461033009169812
Bases of 131013455372697600
- Binary: 1110100010111010000001011001001000100100101000000000000002
- Hexadecimal: 0x1D1740B24494000
- Base-36: ZU0E6IDQ800
Squares and roots of 131013455372697600
- 131013455372697600 squared (1310134553726976002) is 17164525488693825631319501045760000
- 131013455372697600 cubed (1310134553726976003) is 2248783794106518987901739988492393573752242176000000
-
The
square root of 131013455372697600 is 361957808.8295617915 -
The
cube root of 131013455372697600 is 507892.6956443035
Scales and comparisons
How big is 131013455372697600?- 131,013,455,372,697,600 seconds is equal to 4,165,822,629 years, 32 weeks, 4 days.
-
To count from 1 to 131,013,455,372,697,600 would take you about twelve billion, four hundred ninety-seven million, four hundred sixty-seven thousand, eight hundred eighty-eight 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 131013455372697600 cubic inches would be around 42324.4 feet tall.
Recreational maths with 131013455372697600
- 131013455372697600 backwards is 006796273554310131
- The number of decimal digits it has is: 18
- The sum of 131013455372697600's digits is 63
- More coming soon!
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"Number 131013455372697600 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 131013455372697600 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/131013455372697600/
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The information we have on file for 131013455372697600 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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