131484365966148000
131,484,365,966,148,000 is an even composite number composed of eight prime numbers multiplied together.
131484365966148000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 131484365966148000:
25 × 3 × 53 × 13 × 19 × 211 × 401 × 524287
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 19 × 211 × 401 × 524287)See below for interesting mathematical facts about the number 131484365966148000 from the Numbermatics database.
Names of 131484365966148000
- Cardinal: 131484365966148000 can be written as One hundred thirty-one quadrillion, four hundred eighty-four trillion, three hundred sixty-five billion, nine hundred sixty-six million, one hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.31484365966148 × 1017
Factors of 131484365966148000
Divisors of 131484365966148000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 38 39 40 48 50 52 57 60 65 75 76 78 80 95 96 100 104 114 120 125 130 150 152 156 160 190 195 200 208 211 228 240 247 250 260 285 300 304 312 325 375 380 390 400 401 416 422 456 475 480 494 500 520 570 600 608 624 633 650 741 750 760 780 800 802 844 912 950 975 988 1000 1040 1055 1140 1200 1203 1235 1248 1266 1300 1425 1482 1500 1520 1560 1604 1625 1688 1824 1900 1950 1976 2000 2005 2080 2110 2280 2375 2400 2406 2470 2532 2600 2743 2850 2964 3000 3040 3120 3165 3208 3250 3376 3705 3800 3900 3952 4000 4009 4010 4220 4560 4750 4812 4875 4940 5064 5200 5213 5275 5486 5700 5928 6000 6015 6175 6240 6330 6416 6500 6752 7125 7410 7600 7619 7800 7904 8018 8020 8229 8440 9120 9500 9624 9750 9880 10025 10128 10400 10426 10550 10972 11400 11856 12000 12027 12030 12350 12660 12832 13000 13715 14250 14820 15200 15238 15600 15639 15825 16036 16040 16458 16880 18525 19000 19248 19500 19760 20045 20050 20256 20852 21100 21944 22800 22857 23712 24054 24060 24700 25320 26000 26065 26375 27430 28500 29640 30075 30476 30875 31200 31278 31650 32072 32080 32916 33760 37050 38000 38095 38496 39000 39520 40090 40100 41145 41704 42200 43888 45600 45714 48108 48120 49400 50125 50640 52000 52117 52130 52750 54860 57000 59280 60135 60150 60952 61750 62556 63300 64144 64160 65832 68575 74100 76000 76190 78000 78195 79125 80180 80200 82290 83408 84400 84611 87776 91428 92625 96216 96240 98800 99047 100225 100250 101280 104234 104260 105500 109720 114000 114285 118560 120270 120300 121904 123500 125112 126600 128288 130325 131664 137150 148200 150375 152380 156000 156351 156390 158250 160360 160400 164580 166816 168800 169222 182856 185250 190475 192432 192480 197600 198094 200450 200500 205725 208468 208520 211000 219440 228000 228570 240540 240600 243808 247000 250224 253200 253833 260585 260650 263328 274300 296400 297141 300675 300750 304760 312702 312780 316500 320720 320800 329160 338444 342875 365712 370500 380950 384864 390975 396188 400900 401000 411450 416936 417040 422000 423055 438880 457140 481080 481200 494000 495235 500448 501125 506400 507666 521170 521300 524287 548600 571425 592800 594282 601350 601500 609520 625404 625560 633000 641440 651625 658320 676888 685750 731424 741000 761900 781755 781950 792376 801800 802000 822900 833872 834080 844000 846110 914280 952375 962160 962400 988000 990470 1002250 1015332 1028625 1042340 1042600 1048574 1097200 1099943 1142850 1188564 1202700 1203000 1219040 1250808 1251120 1266000 1269165 1302925 1303250 1316640 1353776 1371500 1482000 1485705 1503375 1523800 1563510 1563900 1572861 1584752 1603600 1604000 1607609 1645800 1667744 1692220 1828560 1904750 1924320 1954875 1980940 2004500 2030664 2057250 2084680 2085200 2097148 2115275 2194400 2199886 2285700 2377128 2405400 2406000 2476175 2501616 2502240 2532000 2538330 2605850 2606500 2621435 2707552 2743000 2857125 2964000 2971410 3006750 3047600 3127020 3127800 3145722 3169504 3207200 3215218 3291600 3299829 3384440 3657120 3809500 3908775 3909750 3961880 4009000 4061328 4114500 4169360 4170400 4194296 4230550 4399772 4571400 4754256 4810800 4812000 4822827 4952350 5003232 5076660 5211700 5213000 5242870 5486000 5499715 5714250 5942820 6013500 6095200 6254040 6255600 6291444 6345825 6430436 6514625 6583200 6599658 6768880 6815731 7428525 7619000 7817550 7819500 7864305 7923760 8018000 8038045 8122656 8229000 8338720 8388592 8461100 8799544 9142800 9508512 9621600 9645654 9904700 9961453 10153320 10423400 10426000 10485740 10576375 10972000 10999430 11428500 11885640 12027000 12380875 12508080 12511200 12582888 12691650 12860872 13029250 13107175 13199316 13537760 13631462 14857050 15238000 15635100 15639000 15728610 15847520 16036000 16076090 16458000 16499145 16777184 16922200 17599088 18285600 19291308 19543875 19809400 19922906 20306640 20447193 20846800 20852000 20898917 20971480 21152750 21998860 22857000 23771280 24054000 24114135 24761750 25016160 25165776 25383300 25721744 26058500 26214350 26398632 27262924 27498575 29714100 29884359 30476000 31270200 31278000 31457220 31729125 32152180 32916000 32998290 33844400 34078655 35198176 37142625 38582616 39087750 39321525 39618800 39845812 40190225 40613280 40894386 41693600 41797834 41942960 42305500 43997720 45714000 47542560 48108000 48228270 49523500 49807265 50331552 50766600 51443488 52117000 52428700 52797264 54525848 54997150 59428200 59768718 62540400 62556000 62696751 62914440 63458250 64304360 65535875 65996580 67688800 68157310 74285250 77165232 78175500 78643050 79237600 79691624 80380450 81788772 82495725 83595668 83885920 84611000 87995440 91428000 96456540 99047000 99614530 101533200 102235965 104234000 104494585 104857400 105594528 109051696 109994300 110624557 118856400 119537436 120570675 125080800 125393502 125828880 126916500 128608720 129498889 131071750 131993160 136314620 137492875 148570500 149421795 154330464 156351000 157286100 159383248 160760900 163577544 164991450 167191336 169222000 170393275 175990880 192913080 196607625 198094000 199229060 200951125 203066400 204471930 208468000 208989170 209714800 210239087 218103392 219988600 221249114 237712800 239074872 241141350 249036325 250787004 251657760 253833000 257217440 258997778 262143500 263986320 272629240 274985750 297141000 298843590 312702000 313483755 314572200 318766496 321521800 327155088 329982900 331873671 334382672 338444000 340786550 385826160 388496667 393215250 396188000 398458120 401902250 408943860 412478625 417978340 419429600 420478174 439977200 442498228 478149744 482282700 498072650 501574008 507666000 511179825 517995556 522472925 524287000 527972640 545258480 549971500 553122785 594282000 597687180 602853375 625404000 626967510 629144400 630717261 643043600 647494445 654310176 659965800 663747342 668765344 681573100 747108975 771652320 776993334 786430500 796916240 803804500 817887720 824957250 835956680 840956348 851966375 879954400 884996456 956299488 964565400 996145300 1003148016 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5015740080 5045738088 5111798250 5179955560 5224729250 5255977175 5309978736 5452584800 5466216262 5531227850 5752476964 5976871800 6215946672 6269675100 6291444000 6305599749 6307172610 6430436000 6474944450 6599658000 6637473420 6727650784 6815731000 7190596205 7471089750 7769933340 7837093875 7969162400 7989085306 8178877200 8199324393 8296841775 8359566800 8407466332 8409563480 8628715446 8849964560 9645654000 9712416675 9961453000 10031480160 10091476176 10223596500 10359911120 10449458500 10509332915 10511954350 10619957472 10932432524 11062455700 11504953928 11953743600 11983627959 12431893344 12539350200 12611199498 12614345220 12949888900 13199316000 13274946840 13631462000 13665540655 13828069625 14381192410 14942179500 15539866680 15674187750 15767931525 15978170612 16187361125 16357754400 16398648786 16593683550 16719133600 16814932664 16819126960 17257430892 17699929120 19291308000 19424833350 19922906000 19972713265 20182952352 20447193000 20719822240 20898917000 21018665830 21023908700 21571788615 21864865048 22124911400 23009907856 23907487200 23967255918 25078700400 25222398996 25228690440 25899777800 26279885875 26549893680 27262924000 27324265579 27331081310 27656139250 28762384820 29884359000 31079733360 31348375500 31527998745 31535863050 31956341224 32374722250 32797297572 33187367100 33629865328 33638253920 34514861784 35952981025 38849666700 39845812000 39945426530 40894386000 40996621965 41484208875 41797834000 42037331660 42047817400 43143577230 43729730096 44249822800 44360447357 46019815712 47934511836 48562083375 50157400800 50444797992 50457380880 51799555600 51929054489 52546664575 52559771750 53099787360 54648531158 54662162620 55312278500 57524769640 59768718000 59918139795 62159466720 62696751000 63055997490 63071726100 63912682448 64749444500 65594595144 66374734200 67259730656 68327703275 69029723568 71905962050 77699333400 78839657625 79890853060 81788772000 81972796737 81993243930 82968417750 83595668000 84074663320 84095634800 86287154460 87459460192 88499645600 88720894714 95869023672 97124166750 99863566325 100889595984 100914761760 103599111200 103858108978 105093329150 105119543500 107858943075 109297062316 109324325240 110624557000 115049539280 119537436000 119836279590 125393502000 126111994980 126143452200 127825364896 129498889000 131189190288 132749468400 133081342071 136621327895 136655406550 138059447136 143811924100 155398666800 155787163467 157639993725 157679315250 159781706120 163945593474 163986487860 165936835500 168149326640 168191269600 172574308920 177441789428 179764905125 191738047344 194248333500 199727132650 201779191968 204983109825 207716217956 210186658300 210239087000 215717886150 218594124632 218648650480 221249114000 221802236785 230099078560 239672559180 250787004000 252223989960 252286904400 258997778000 259645272445 262378380576 262733322875 265498936800 266162684142 273242655790 273310813100 287623848200 299590698975 310797333600 311574326934 315279987450 315358630500 319563412240 327891186948 327972975720 331873671000 336298653280 341638516375 345148617840 354883578856 359529810250 383476094688 388496667000 399454265300 409863983685 409966219650 415432435912 420373316600 420478174000 431435772300 437188249264 437297300960 442498228000 443604473570 479345118360 499317831625 504447979920 504573808800 517995556000 519290544890 525466645750 532325368284 539294715375 546485311580 546621626200 575247696400 576685815641 599181397950 623148653868 630559974900 630717261000 639126824480 655782373896 655945951440 663747342000 665406710355 683106639475 683277032750 690297235680 709767157712 719059620500 776993334000 778935817335 788199968625 798908530600 819727967370 819932439300 830864871824 840746633200 840956348000 842848499783 862871544600 874376498528 887208947140 958690236720 998635663250 1008895959840 1024915549125 1038581089780 1050933291500 1064650736568 1078589430750 1092970623160 1093243252400 1109011183925 1150495392800 1153371631282 1198362795900 1246297307736 1261119949800 1261434522000 1298226362225 1311564747792 1311891902880 1327494684000 1330813420710 1366213278950 1366554065500 1419534315424 1438119241000 1497953494875 1553986668000 1557871634670 1576399937250 1597817061200 1639455934740 1639864878600 1661729743648 1681493266400 1685696999566 1725743089200 1730057446923 1774417894280 1917380473440 1997271326500 2049319918425 2049831098250 2077162179560 2101866583000 2129301473136 2157178861500 2185941246320 2186486504800 2218022367850 2306743262564 2396725591800 2492594615472 2522239899600 2522869044000 2528545499349 2596452724450 2623129495584 2661626841420 2732426557900 2733108131000 2876238482000 2883429078205 2995906989750 3115743269340 3152799874500 3195634122400 3278911869480 3279729757200 3327033551775 3371393999132 3415533197375 3451486178400 3460114893846 3548835788560 3894679086675 3994542653000 4098639836850 4099662196500 4154324359120 4203733166000 4214242498915 4258602946272 4314357723000 4371882492640 4436044735700 4613486525128 4793451183600 4985189230944 5044479799200 5057090998698 5192905448900 5323253682840 5464853115800 5466216262000 5545055919625 5752476964000 5766858156410 5991813979500 6231486538680 6305599749000 6491131811125 6557823738960 6559459514400 6654067103550 6742787998264 6831066394750 6920229787692 7097671577120 7789358173350 7989085306000 8197279673700 8199324393000 8308648718240 8407466332000 8428484997830 8628715446000 8650287234615 8872089471400 9226973050256 9586902367200 10114181997396 10246599592125 10385810897800 10646507365680 10929706231600 10932432524000 10957030497179 11090111839250 11533716312820 11983627959000 12462973077360 12611199498000 12642727496745 12982263622250 13115647477920 13308134207100 13485575996528 13662132789500 13840459575384 14417145391025 15578716346700 15978170612000 16394559347400 16398648786000 16635167758875 16856969995660 17257430892000 17300574469230 17744178942800 18453946100512 19473395433375 20228363994792 20493199184250 20771621795600 21071212494575 21293014731360 21859412463200 21914060994358 22180223678500 23067432625640 23967255918000 24925946154720 25222398996000 25285454993490 25964527244500 26616268414200 26971151993056 27324265579000 27680919150768 28834290782050 31157432693400 32789118694800 32797297572000 32871091491537 33270335517750 33713939991320 34601148938460 35488357885600 38946790866750 40456727989584 40986398368500 41543243591200 42142424989150 43251436173075 43828121988716 44360447357000 46134865251280 47934511836000 50570909986980 51929054489000 53232536828400 54648531158000 54785152485895 55361838301536 57668581564100 62314865386800 63213637483725 65578237389600 65742182983074 66540671035500 67427879982640 69202297876920 72085726955125 77893581733500 80913455979168 81972796737000 84284849978300 86502872346150 87656243977432 88720894714000 92269730502560 101141819973960 103858108978000 105356062472875 106465073656800 109297062316000 109570304971790 115337163128200 124629730773600 126427274967450 131484365966148 133081342071000 134855759965280 138404595753840 144171453910250 155787163467000 163945593474000 164355457457685 168569699956600 173005744692300 175312487954864 177441789428000 202283639947920 207716217956000 210712124945750 216257180865375 219140609943580 230674326256400 252854549934900 262968731932296 266162684142000 273925762429475 276809191507680 288342907820500 311574326934000 316068187418625 327891186948000 328710914915370 337139399913200 346011489384600 350624975909728 404567279895840 421424249891500 432514361730750 438281219887160 461348652512800 505709099869800 525937463864592 532325368284000 547851524858950 576685815641000 623148653868000 632136374837250 657421829830740 674278799826400 692022978769200 821777287288425 842848499783000 865028723461500 876562439774320 1011418199739600 1051874927729184 1095703049717900 1153371631282000 1264272749674500 1314843659661480 1369628812147375 1384045957538400 1643554574576850 1685696999566000 1730057446923000 1753124879548640 2022836399479200 2191406099435800 2306743262564000 2528545499349000 2629687319322960 2739257624294750 3287109149153700 3371393999132000 3460114893846000 4108886436442125 4382812198871600 5057090998698000 5259374638645920 5478515248589500 6574218298307400 6920229787692000 8217772872884250 8765624397743200 10114181997396000 10957030497179000 13148436596614800 16435545745768500 21914060994358000 26296873193229600 32871091491537000 43828121988716000 65742182983074000 131484365966148000
- Sum of all divisors σ(n): 491829984566968320
- Sum of proper divisors (its aliquot sum) s(n): 360345618600820320
- 131484365966148000 is an abundant number, because the sum of its proper divisors (360345618600820320) is greater than itself. Its abundance is 228861252634672320
Bases of 131484365966148000
- Binary: 1110100110010000001010101100011101110111000000001101000002
- Hexadecimal: 0x1D320558EEE01A0
- Base-36: ZYNBFUMIMQO
Squares and roots of 131484365966148000
- 131484365966148000 squared (1314843659661480002) is 17288138493519938485481957904000000
- 131484365966148000 cubed (1314843659661480003) is 2273119928555426155839958481835593625033792000000000
-
The
square root of 131484365966148000 is 362607730.1522238645 -
The
cube root of 131484365966148000 is 508500.4857968943
Scales and comparisons
How big is 131484365966148000?- 131,484,365,966,148,000 seconds is equal to 4,180,796,129 years, 45 weeks, 3 days, 20 hours, 40 minutes.
-
To count from 1 to 131,484,365,966,148,000 would take you about twelve billion, five hundred forty-two million, three hundred eighty-eight thousand, three hundred eighty-nine 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 131484365966148000 cubic inches would be around 42375 feet tall.
Recreational maths with 131484365966148000
- 131484365966148000 backwards is 000841669563484131
- The number of decimal digits it has is: 18
- The sum of 131484365966148000's digits is 69
- More coming soon!
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"Number 131484365966148000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 131484365966148000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/131484365966148000/
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The information we have on file for 131484365966148000 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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