468268537680000
468,268,537,680,000 is an even composite number composed of six prime numbers multiplied together.
468268537680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 468268537680000:
27 × 32 × 54 × 113 × 127 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 113 × 127 × 45319)See below for interesting mathematical facts about the number 468268537680000 from the Numbermatics database.
Names of 468268537680000
- Cardinal: 468268537680000 can be written as Four hundred sixty-eight trillion, two hundred sixty-eight billion, five hundred thirty-seven million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 4.6826853768 × 1014
Factors of 468268537680000
Divisors of 468268537680000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 113 120 125 127 128 144 150 160 180 192 200 225 226 240 250 254 288 300 320 339 360 375 381 384 400 450 452 480 500 508 565 576 600 625 635 640 678 720 750 762 800 900 904 960 1000 1016 1017 1125 1130 1143 1152 1200 1250 1270 1356 1440 1500 1524 1600 1695 1800 1808 1875 1905 1920 2000 2032 2034 2250 2260 2286 2400 2500 2540 2712 2825 2880 3000 3048 3175 3200 3390 3600 3616 3750 3810 4000 4064 4068 4500 4520 4572 4800 5000 5080 5085 5424 5625 5650 5715 5760 6000 6096 6350 6780 7200 7232 7500 7620 8000 8128 8136 8475 9000 9040 9144 9525 9600 10000 10160 10170 10848 11250 11300 11430 12000 12192 12700 13560 14125 14351 14400 14464 15000 15240 15875 16000 16256 16272 16950 18000 18080 18288 19050 20000 20320 20340 21696 22500 22600 22860 24000 24384 25400 25425 27120 28250 28575 28702 28800 30000 30480 31750 32544 33900 36000 36160 36576 38100 40000 40640 40680 42375 43053 43392 45000 45200 45319 45720 47625 48000 48768 50800 50850 54240 56500 57150 57404 60000 60960 63500 65088 67800 70625 71755 72000 72320 73152 76200 79375 80000 81280 81360 84750 86106 90000 90400 90638 91440 95250 101600 101700 108480 113000 114300 114808 120000 121920 127000 127125 129159 130176 135600 135957 141250 142875 143510 144000 146304 152400 158750 162720 169500 172212 180000 180800 181276 182880 190500 203200 203400 211875 215265 216960 226000 226595 228600 229616 238125 240000 243840 254000 254250 258318 271200 271914 282500 285750 287020 304800 317500 325440 339000 344424 358775 360000 361600 362552 365760 381000 406400 406800 407871 423750 430530 452000 453190 457200 459232 476250 508000 508500 516636 542400 543828 565000 571500 574040 609600 635000 635625 645795 650880 678000 679785 688848 714375 717550 720000 725104 731520 762000 813600 815742 847500 861060 904000 906380 914400 918464 952500 1016000 1017000 1033272 1076325 1084800 1087656 1130000 1132975 1143000 1148080 1219200 1270000 1271250 1291590 1356000 1359570 1377696 1428750 1435100 1450208 1524000 1627200 1631484 1695000 1722120 1793875 1808000 1812760 1828800 1836928 1905000 2032000 2034000 2039355 2066544 2152650 2175312 2260000 2265950 2286000 2296160 2540000 2542500 2583180 2712000 2719140 2755392 2857500 2870200 2900416 3048000 3228975 3254400 3262968 3390000 3398925 3444240 3587750 3625520 3657600 3810000 4068000 4078710 4133088 4305300 4350624 4520000 4531900 4572000 4592320 5080000 5085000 5121047 5166360 5381625 5424000 5438280 5510784 5664875 5715000 5740400 5755513 5800832 6096000 6457950 6525936 6780000 6797850 6888480 7175500 7251040 7620000 8136000 8157420 8266176 8610600 8701248 8969375 9040000 9063800 9144000 9184640 10160000 10170000 10196775 10242094 10332720 10763250 10876560 11329750 11430000 11480800 11511026 12915900 13051872 13560000 13595700 13776960 14351000 14502080 15240000 15363141 16144875 16272000 16314840 16532352 16994625 17221200 17266539 17402496 17938750 18127600 18288000 20340000 20393550 20484188 20665440 21526500 21753120 22659500 22860000 22961600 23022052 25605235 25831800 26103744 26908125 27120000 27191400 27553920 28324375 28702000 28777565 29004160 30480000 30726282 32289750 32629680 33989250 34442400 34533078 35877500 36255200 40680000 40787100 40968376 41330880 43053000 43506240 45319000 45720000 45923200 46044104 46089423 50983875 51210470 51663600 51799617 52207488 53816250 54382800 56648750 57404000 57555130 61452564 64579500 65259360 67978500 68884800 69066156 71755000 72510400 76815705 80724375 81360000 81574200 81936752 82661760 84973125 86106000 86332695 87012480 90638000 91440000 92088208 92178846 101967750 102420940 103327200 103599234 107632500 108765600 113297500 114808000 115110260 122905128 128026175 129159000 130518720 135957000 137769600 138132312 143510000 143887825 145020800 153631410 161448750 163148400 163873504 169946250 172212000 172665390 181276000 184176416 184357692 203935500 204841880 206654400 207198468 215265000 217531200 226595000 229616000 230220520 230447115 245810256 254919375 256052350 258318000 258998085 261037440 271914000 276264624 287020000 287775650 307262820 322897500 326296800 327747008 339892500 344424000 345330780 362552000 368352832 368715384 384078525 407871000 409683760 413308800 414396936 430530000 431663475 435062400 453190000 460441040 460894230 491620512 509838750 512104700 516636000 517996170 543828000 552529248 574040000 575551300 614525640 640130875 645795000 650372969 652593600 655494016 679785000 688848000 690661560 719439125 725104000 736705664 737430768 768157050 815742000 819367520 828793872 861060000 863326950 906380000 920882080 921788460 983241024 1019677500 1024209400 1033272000 1035992340 1087656000 1105058496 1148080000 1151102600 1152235575 1229051280 1280261750 1291590000 1294990425 1300745938 1305187200 1359570000 1381323120 1438878250 1474861536 1536314100 1631484000 1638735040 1657587744 1722120000 1726653900 1812760000 1841764160 1843576920 1920392625 1951118907 1966482048 2039355000 2048418800 2066544000 2071984680 2158317375 2175312000 2210116992 2302205200 2304471150 2458102560 2560523500 2583180000 2589980850 2601491876 2719140000 2762646240 2877756500 2949723072 3072628200 3200654375 3251864845 3262968000 3277470080 3315175488 3444240000 3453307800 3597195625 3625520000 3683528320 3687153840 3840785250 3902237814 4078710000 4096837600 4143969360 4316634750 4604410400 4608942300 4916205120 5121047000 5166360000 5179961700 5202983752 5438280000 5525292480 5755513000 5761177875 5853356721 5899446144 6145256400 6401308750 6474952125 6503729690 6525936000 6630350976 6906615600 7194391250 7374307680 7681570500 7804475628 8157420000 8193675200 8287938720 8633269500 9208820800 9217884600 9601963125 9755594535 9832410240 10242094000 10332720000 10359923400 10405967504 10791586875 10876560000 11050584960 11511026000 11522355750 11706713442 12290512800 12802617500 12949904250 13007459380 13813231200 14388782500 14748615360 15363141000 15608951256 16259324225 16314840000 16387350400 16575877440 17266539000 18417641600 18435769200 19203926250 19511189070 20484188000 20719846800 20811935008 21583173750 23022052000 23044711500 23413426884 24581025600 25605235000 25899808500 26014918760 27626462400 28777565000 28805889375 29266783605 29497230720 30726282000 31217902512 32374760625 32518648450 32629680000 33151754880 34533078000 36871538400 38407852500 39022378140 40968376000 41439693600 41623870016 43166347500 46044104000 46089423000 46826853768 48777972675 49162051200 51210470000 51799617000 52029837520 55252924800 57555130000 57611778750 58533567210 61452564000 62435805024 64749521250 65037296900 69066156000 73743076800 76815705000 78044756280 81296621125 81936752000 82879387200 83247740032 86332695000 92088208000 92178846000 93653707536 97555945350 102420940000 103599234000 104059675040 115110260000 115223557500 117067134420 122905128000 124871610048 129499042500 130074593800 138132312000 146333918025 147486153600 153631410000 156089512560 162593242250 165758774400 172665390000 184357692000 187307415072 195111890700 204841880000 207198468000 208119350080 230220520000 230447115000 234134268840 243889863375 245810256000 249743220096 258998085000 260149187600 276264624000 292667836050 307262820000 312179025120 325186484500 345330780000 368715384000 374614830144 390223781400 406483105625 409683760000 414396936000 416238700160 460441040000 460894230000 468268537680 487779726750 517996170000 520298375200 585335672100 614525640000 624358050240 650372969000 690661560000 731669590125 737430768000 749229660288 780447562800 812966211250 828793872000 921788460000 936537075360 975559453500 1035992340000 1040596750400 1170671344200 1219449316875 1229051280000 1248716100480 1300745938000 1381323120000 1463339180250 1560895125600 1625932422500 1843576920000 1873074150720 1951118907000 2071984680000 2081193500800 2341342688400 2438898633750 2601491876000 2926678360500 3121790251200 3251864845000 3658347950625 3687153840000 3746148301440 3902237814000 4143969360000 4682685376800 4877797267500 5202983752000 5853356721000 6243580502400 6503729690000 7316695901250 7804475628000 9365370753600 9755594535000 10405967504000 11706713442000 13007459380000 14633391802500 15608951256000 18730741507200 19511189070000 23413426884000 26014918760000 29266783605000 31217902512000 39022378140000 46826853768000 52029837520000 58533567210000 78044756280000 93653707536000 117067134420000 156089512560000 234134268840000 468268537680000
- Sum of all divisors σ(n): 1712140059801600
- Sum of proper divisors (its aliquot sum) s(n): 1243871522121600
- 468268537680000 is an abundant number, because the sum of its proper divisors (1243871522121600) is greater than itself. Its abundance is 775602984441600
Bases of 468268537680000
- Binary: 11010100111100011010000111101100100010000100000002
- Hexadecimal: 0x1A9E343D91080
- Base-36: 4LZJLGZZ40
Squares and roots of 468268537680000
- 468268537680000 squared (4682685376800002) is 219275423380965579782400000000
- 468268537680000 cubed (4682685376800003) is 102679781855767633591117820600832000000000000
-
The
square root of 468268537680000 is 21639513.3420324405 -
The
cube root of 468268537680000 is 77654.2077091283
Scales and comparisons
How big is 468268537680000?- 468,268,537,680,000 seconds is equal to 14,889,491 years, 2 weeks, 3 days, 16 hours.
-
To count from 1 to 468,268,537,680,000 would take you about thirty-seven million, two hundred twenty-three thousand, seven hundred twenty-seven 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 468268537680000 cubic inches would be around 6471.2 feet tall.
Recreational maths with 468268537680000
- 468268537680000 backwards is 000086735862864
- The number of decimal digits it has is: 15
- The sum of 468268537680000's digits is 63
- More coming soon!
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The information we have on file for 468268537680000 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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