131148042165324800
131,148,042,165,324,800 is an even composite number composed of six prime numbers multiplied together.
131148042165324800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred eighty-two divisors.
Prime factorization of 131148042165324800:
210 × 52 × 72 × 112 × 227 × 19512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 11 × 227 × 1951 × 1951)See below for interesting mathematical facts about the number 131148042165324800 from the Numbermatics database.
Names of 131148042165324800
- Cardinal: 131148042165324800 can be written as One hundred thirty-one quadrillion, one hundred forty-eight trillion, forty-two billion, one hundred sixty-five million, three hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.311480421653248 × 1017
Factors of 131148042165324800
Divisors of 131148042165324800
- Number of divisors d(n): 1782
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 77 80 88 98 100 110 112 121 128 140 154 160 175 176 196 200 220 224 227 242 245 256 275 280 308 320 350 352 385 392 400 440 448 454 484 490 512 539 550 560 605 616 640 700 704 770 784 800 847 880 896 908 968 980 1024 1078 1100 1120 1135 1210 1225 1232 1280 1400 1408 1540 1568 1589 1600 1694 1760 1792 1816 1925 1936 1951 1960 2156 2200 2240 2270 2420 2450 2464 2497 2560 2695 2800 2816 3025 3080 3136 3178 3200 3388 3520 3584 3632 3850 3872 3902 3920 4235 4312 4400 4480 4540 4840 4900 4928 4994 5120 5390 5600 5632 5675 5929 6050 6160 6272 6356 6400 6776 7040 7168 7264 7700 7744 7804 7840 7945 8470 8624 8800 8960 9080 9680 9755 9800 9856 9988 10780 11123 11200 11264 11350 11858 12100 12320 12485 12544 12712 12800 13475 13552 13657 14080 14528 15400 15488 15608 15680 15890 16940 17248 17479 17600 17920 18160 19360 19510 19600 19712 19976 21175 21461 21560 22246 22400 22700 23716 24200 24640 24970 25088 25424 25600 26950 27104 27314 27467 28160 29056 29645 30800 30976 31216 31360 31780 33880 34496 34958 35200 35840 36320 38720 39020 39200 39424 39725 39952 42350 42922 43120 44492 44800 45400 47432 48400 48775 49280 49940 50176 50848 53900 54208 54628 54934 55615 56320 58112 59290 61600 61952 62425 62432 62720 63560 67760 68285 68992 69916 70400 72640 77440 78040 78400 78848 79450 79904 84700 85844 86240 87395 88984 89600 90800 94864 95599 96800 97550 98560 99880 101696 107305 107800 108416 109256 109868 111230 116224 118580 122353 123200 123904 124850 124864 125440 127120 135520 136570 137335 137984 139832 140800 145280 148225 150227 154880 156080 156800 158900 159808 169400 171688 172480 174790 177968 179200 181600 189728 191198 192269 193600 195100 197120 199760 203392 214610 215600 216832 218512 219736 222460 232448 236071 237160 244706 246400 249700 249728 250880 254240 271040 273140 274670 275968 278075 279664 281600 290560 296450 300454 309760 312160 313600 317800 319616 338800 341425 343376 344960 349580 355936 363200 379456 382396 384538 387200 390200 394240 399520 406784 429220 431200 433664 436975 437024 439472 442877 444920 472142 474320 477995 489412 492800 499400 499456 508480 536525 542080 546280 549340 551936 556150 559328 581120 592900 600908 611765 619520 624320 627200 635600 639232 677600 682850 686675 686752 689920 699160 711872 726400 751135 758912 764792 769076 774400 780400 799040 813568 858440 862400 867328 873950 874048 878944 885754 889840 944284 948640 955990 961345 978824 985600 998800 998912 1016960 1051589 1073050 1084160 1092560 1098680 1112300 1118656 1162240 1180355 1185800 1201816 1223530 1248640 1254400 1271200 1278464 1345883 1355200 1365700 1373350 1373504 1379840 1398320 1423744 1452800 1502270 1517824 1529584 1538152 1548800 1560800 1598080 1627136 1652497 1716880 1724800 1747900 1748096 1757888 1771508 1779680 1888568 1897280 1911980 1922690 1957648 1971200 1997600 1997824 2033920 2103178 2146100 2168320 2185120 2197360 2214385 2224600 2237312 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2091008325340 2100654186400 2100889742336 2116929916150 2129026658528 2211975749120 2256815152900 2328622907765 2358141547520 2387374707200 2400747641600 2419348475600 2433173324032 2579217317600 2613760406675 2626112177920 2661283323160 2688837358592 2709670292672 2764969686400 2888723395712 2927411655476 2947676934400 3041466655040 3055496998400 3096766048768 3282640222400 3301398166528 3326604153950 3345613320544 3361046698240 3387087865840 3610904244640 3659264569345 3725796652424 3751588825600 3801833318800 3870957560960 4126747708160 4182016650680 4201308372800 4233859832300 4258053317056 4423951498240 4513630305800 4657245815530 4774749414400 4801495283200 4838696951200 4866346648064 5122970397083 5158434635200 5227520813350 5252224355840 5322566646320 5419340585344 5529939372800 5777446791424 5854823310952 5895353868800 6082933310080 6110993996800 6193532097536 6565280444800 6653208307900 6691226641088 6722093396480 6774175731680 7221808489280 7318529138690 7451593304848 7503177651200 7603666637600 7741915121920 8253495416320 8364033301360 8402616745600 8467719664600 8516106634112 9027260611600 9314491631060 9602990566400 9677393902400 9732693296128 10245940794166 10316869270400 10455041626700 10504448711680 10645133292640 10838681170688 11059878745600 11554893582848 11643114538825 11709646621904 11790707737600 12165866620160 13130560889600 13306416615800 13382453282176 13444186792960 13548351463360 14443616978560 14637058277380 14903186609696 15207333275200 15483830243840 16506990832640 16728066602720 16805233491200 16935439329200 17032213268224 18054521223200 18296322846725 18628983262120 19354787804800 20491881588332 20633738540800 20910083253400 21290266585280 21677362341376 22119757491200 23109787165696 23286229077650 23419293243808 24331733240320 25614851985415 26261121779200 26612833231600 26764906564352 27096702926720 28887233957120 29274116554760 29806373219392 30414666550400 30967660487680 33456133205440 33610466982400 33870878658400 34064426536448 36109042446400 36592645693450 37257966524240 38709575609600 40983763176664 41267477081600 41820166506800 42580533170560 43354724682752 46572458155300 46838586487616 48663466480640 51229703970830 52522243558400 53225666463200 53529813128704 54193405853440 57774467914240 58548233109520 59612746438784 60829333100800 66912266410880 67220933964800 67741757316800 68128853072896 72218084892800 73185291386900 74515933048480 77419151219200 81967526353328 82534954163200 83640333013600 85161066341120 93144916310600 93677172975232 102459407941660 106451332926400 107059626257408 108386811706880 115548935828480 117096466219040 119225492877568 121658666201600 128074259927075 133824532821760 135483514633600 144436169785600 146370582773800 149031866096960 154838302438400 163935052706656 167280666027200 170322132682240 186289832621200 187354345950464 204918815883320 212902665852800 216773623413760 234192932438080 238450985755136 243317332403200 256148519854150 267649065643520 270967029267200 288872339571200 292741165547600 298063732193920 327870105413312 334561332054400 340644265364480 372579665242400 374708691900928 409837631766640 425805331705600 468385864876160 476901971510272 512297039708300 535298131287040 541934058534400 577744679142400 585482331095200 596127464387840 655740210826624 669122664108800 745159330484800 749417383801856 819675263533280 851610663411200 936771729752320 1024594079416600 1083868117068800 1170964662190400 1192254928775680 1311480421653248 1338245328217600 1490318660969600 1639350527066560 1703221326822400 1873543459504640 2049188158833200 2341929324380800 2384509857551360 2622960843306496 2676490656435200 2980637321939200 3278701054133120 3747086919009280 4098376317666400 4683858648761600 5245921686612992 5961274643878400 6557402108266240 8196752635332800 9367717297523200 11922549287756800 13114804216532480 16393505270665600 18735434595046400 26229608433064960 32787010541331200 65574021082662400 131148042165324800
- Sum of all divisors σ(n): 417713082117846228
- Sum of proper divisors (its aliquot sum) s(n): 286565039952521428
- 131148042165324800 is an abundant number, because the sum of its proper divisors (286565039952521428) is greater than itself. Its abundance is 155416997787196628
Bases of 131148042165324800
- Binary: 1110100011110111001110011000100100100000010001100000000002
- Hexadecimal: 0x1D1EE7312408C00
- Base-36: ZVC3MTV4PA8
Squares and roots of 131148042165324800
- 131148042165324800 squared (1311480421653248002) is 17199808963797811655415489495040000
- 131148042165324800 cubed (1311480421653248003) is 2255721271219686859470600596115299429349588992000000
-
The
square root of 131148042165324800 is 362143676.1360396861 -
The
cube root of 131148042165324800 is 508066.5512109877
Scales and comparisons
How big is 131148042165324800?- 131,148,042,165,324,800 seconds is equal to 4,170,102,073 years, 17 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 131,148,042,165,324,800 would take you about twelve billion, five hundred ten million, three hundred six thousand, two hundred nineteen 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 131148042165324800 cubic inches would be around 42338.9 feet tall.
Recreational maths with 131148042165324800
- 131148042165324800 backwards is 008423561240841131
- The number of decimal digits it has is: 18
- The sum of 131148042165324800's digits is 53
- More coming soon!
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"Number 131148042165324800 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 131148042165324800 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/131148042165324800/
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