132825420000
132,825,420,000 is an even composite number composed of seven prime numbers multiplied together.
132825420000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 132825420000:
25 × 34 × 54 × 7 × 13 × 17 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 17 × 53)See below for interesting mathematical facts about the number 132825420000 from the Numbermatics database.
Names of 132825420000
- Cardinal: 132825420000 can be written as One hundred thirty-two billion, eight hundred twenty-five million, four hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3282542 × 1011
Factors of 132825420000
Divisors of 132825420000
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 25 26 27 28 30 32 34 35 36 39 40 42 45 48 50 51 52 53 54 56 60 63 65 68 70 72 75 78 80 81 84 85 90 91 96 100 102 104 105 106 108 112 117 119 120 125 126 130 135 136 140 144 150 153 156 159 160 162 168 170 175 180 182 189 195 200 204 208 210 212 216 221 224 225 234 238 240 250 252 255 260 265 270 272 273 280 288 300 306 312 315 318 324 325 336 340 350 351 357 360 364 371 375 378 390 400 405 408 416 420 424 425 432 442 450 455 459 468 476 477 480 500 504 510 520 525 530 540 544 546 560 567 585 595 600 612 624 625 630 636 648 650 663 672 675 680 689 700 702 714 720 728 742 750 756 765 780 795 800 810 816 819 840 848 850 864 875 884 900 901 910 918 936 945 952 954 975 1000 1008 1020 1040 1050 1053 1060 1071 1080 1092 1105 1113 1120 1125 1134 1170 1190 1200 1224 1248 1250 1260 1272 1275 1296 1300 1325 1326 1350 1360 1365 1377 1378 1400 1404 1428 1431 1440 1456 1484 1500 1512 1530 1547 1560 1575 1590 1620 1625 1632 1638 1680 1696 1700 1750 1755 1768 1785 1800 1802 1820 1836 1855 1872 1875 1890 1904 1908 1950 1989 2000 2016 2025 2040 2067 2080 2100 2106 2120 2125 2142 2160 2184 2210 2226 2250 2268 2275 2295 2340 2380 2385 2400 2448 2457 2500 2520 2544 2550 2592 2600 2625 2650 2652 2700 2703 2720 2730 2754 2756 2800 2808 2835 2856 2862 2912 2925 2968 2975 3000 3024 3060 3094 3120 3150 3180 3213 3240 3250 3276 3315 3339 3360 3375 3400 3445 3500 3510 3536 3570 3600 3604 3640 3672 3710 3744 3750 3780 3808 3816 3825 3900 3975 3978 4000 4050 4080 4095 4134 4200 4212 4240 4250 4284 4293 4320 4368 4375 4420 4452 4500 4505 4536 4550 4590 4641 4680 4725 4760 4770 4823 4875 4896 4914 5000 5040 5088 5100 5200 5250 5265 5300 5304 5355 5400 5406 5460 5508 5512 5525 5565 5600 5616 5625 5670 5712 5724 5850 5936 5950 5967 6000 6048 6120 6188 6201 6240 6300 6307 6360 6375 6426 6480 6500 6552 6625 6630 6678 6750 6800 6825 6885 6890 7000 7020 7072 7140 7155 7200 7208 7280 7344 7371 7420 7500 7560 7632 7650 7735 7800 7875 7950 7956 8100 8109 8125 8160 8190 8268 8400 8424 8480 8500 8568 8586 8736 8750 8775 8840 8904 8925 9000 9010 9072 9100 9180 9275 9282 9360 9450 9520 9540 9639 9646 9750 9828 9945 10000 10017 10080 10125 10200 10335 10400 10500 10530 10600 10608 10625 10710 10800 10812 10920 11016 11024 11050 11130 11232 11250 11340 11375 11424 11448 11475 11700 11713 11872 11900 11925 11934 12000 12240 12285 12376 12402 12600 12614 12720 12750 12852 12960 13000 13104 13125 13250 13260 13356 13500 13515 13600 13650 13770 13780 13923 14000 14040 14175 14280 14310 14416 14469 14560 14625 14688 14742 14840 14875 15000 15120 15264 15300 15470 15600 15750 15900 15912 16065 16200 16218 16250 16380 16536 16575 16695 16800 16848 16875 17000 17136 17172 17225 17500 17550 17680 17808 17850 17901 18000 18020 18144 18200 18360 18550 18564 18603 18720 18900 18921 19040 19080 19125 19278 19292 19500 19656 19875 19890 20000 20034 20250 20400 20475 20670 21000 21060 21200 21216 21250 21420 21465 21600 21624 21840 22032 22048 22100 22260 22500 22525 22680 22750 22896 22950 23205 23400 23426 23625 23800 23850 23868 24115 24327 24375 24480 24570 24752 24804 25200 25228 25440 25500 25704 26000 26208 26250 26325 26500 26520 26712 26775 27000 27030 27300 27540 27560 27625 27825 27846 28000 28080 28350 28560 28620 28832 28938 29250 29484 29680 29750 29835 30000 30051 30240 30600 30940 31005 31200 31500 31535 31800 31824 31875 32130 32400 32436 32500 32760 33072 33125 33150 33390 33696 33750 34000 34125 34272 34344 34425 34450 35000 35100 35139 35360 35616 35700 35775 35802 36000 36040 36400 36720 36855 37100 37128 37206 37800 37842 38160 38250 38556 38584 38675 39000 39312 39375 39750 39780 40068 40500 40545 40800 40950 41340 41769 42000 42120 42400 42500 42840 42930 43248 43407 43680 43875 44064 44200 44520 44625 45000 45050 45360 45500 45792 45900 46375 46410 46800 46852 47250 47600 47700 47736 48195 48230 48654 48750 49140 49504 49608 49725 50085 50400 50456 50625 51000 51408 51675 52000 52500 52650 53000 53040 53424 53550 54000 54060 54600 55080 55120 55250 55650 55692 55809 56160 56700 56763 56875 57120 57240 57375 57876 58500 58565 58968 59360 59500 59625 59670 60000 60102 61200 61425 61880 62010 63000 63070 63600 63648 63750 64260 64800 64872 65000 65520 66144 66250 66300 66780 67500 67575 68000 68250 68688 68850 68900 69615 70000 70200 70278 70875 71400 71550 71604 72080 72345 72800 72981 73125 73440 73710 74200 74256 74375 74412 75600 75684 76320 76500 77112 77168 77350 78000 78624 78750 79500 79560 80136 80325 81000 81090 81900 81991 82680 82875 83475 83538 84000 84240 85000 85680 85860 86125 86496 86814 87750 88400 89040 89250 89505 90000 90100 90720 91000 91800 92750 92820 93015 93600 93704 94500 94605 95200 95400 95472 95625 96390 96460 97308 97500 98280 99216 99375 99450 100170 100912 101250 102000 102375 102816 103350 105000 105300 105417 106000 106080 106848 107100 107325 108000 108120 109200 110160 110240 110500 111300 111384 111618 112625 113400 113526 113750 114480 114750 115752 116025 117000 117130 117936 118125 119000 119250 119340 120204 120575 121635 122400 122850 123760 124020 125307 126000 126140 127200 127500 128520 129744 130000 130221 131040 131625 132500 132600 133560 133875 135000 135150 136500 137376 137700 137800 138125 139125 139230 140000 140400 140556 141750 142800 143100 143208 144160 144690 145962 146250 147420 148400 148512 148750 148824 149175 150255 151200 151368 153000 154224 154336 154700 155025 156000 157500 157675 159000 159120 160272 160650 162000 162180 163800 163982 165360 165750 166950 167076 168480 170000 170289 170625 171360 171720 172125 172250 173628 175500 175695 176800 178080 178500 178875 179010 180000 180200 182000 183600 184275 185500 185640 186030 187408 189000 189210 190800 190944 191250 192780 192920 193375 194616 195000 196560 198432 198750 198900 200340 201824 202500 202725 204000 204750 206700 208845 210000 210600 210834 212000 214200 214650 216240 217035 218400 219375 220320 221000 222600 222768 223125 223236 225250 226800 227052 227500 228960 229500 231504 231875 232050 234000 234260 235872 236250 238000 238500 238680 240408 240975 241150 243270 245700 245973 247520 248040 248625 250425 250614 252000 252280 255000 257040 258375 259488 260000 260442 263250 265000 265200 267120 267750 270000 270300 273000 275400 275600 276250 278250 278460 279045 280800 281112 283500 283815 285600 286200 286416 286875 289380 291924 292500 292825 294840 296800 297500 297648 298125 298350 300510 302736 306000 307125 308448 309400 310050 315000 315350 316251 318000 318240 320544 321300 324000 324360 327600 327964 330720 331500 333900 334152 337875 340000 340578 341250 343440 344250 344500 347256 348075 351000 351390 354375 357000 357750 358020 360400 361725 364000 364905 367200 368550 371000 371280 372060 374816 378000 378420 381600 382500 385560 385840 386750 389232 390000 390663 393120 397500 397800 400680 401625 405000 405450 409500 409955 413400 414375 417375 417690 420000 421200 421668 428400 429300 430625 432480 434070 438750 442000 445200 445536 446250 446472 447525 450500 453600 454104 455000 459000 463008 463750 464100 465075 468000 468520 472500 473025 476000 477000 477360 480816 481950 482300 486540 491400 491946 496080 497250 500850 501228 504560 510000 510867 511875 514080 516750 520884 526500 527085 530000 530400 534240 535500 536625 540000 540600 546000 550800 551200 552500 556500 556920 558090 562224 563125 567000 567630 572400 572832 573750 578760 580125 583848 585000 585650 589680 595000 595296 596250 596700 601020 602875 605472 608175 612000 614250 618800 620100 626535 630000 630700 632502 636000 642600 648720 651105 655200 655928 658125 663000 667800 668304 669375 675750 681156 682500 686880 688500 689000 694512 695625 696150 702000 702780 708750 714000 715500 716040 720800 723450 729810 737100 737919 742000 742560 744120 745875 751275 756000 756840 765000 771120 771680 773500 775125 778464 780000 781326 788375 795000 795600 801360 803250 810000 810900 819000 819910 826800 828750 834750 835380 842400 843336 851445 856800 858600 860625 861250 868140 877500 878475 884000 890400 892500 892944 894375 895050 901000 908208 910000 918000 921375 927500 928200 930150 937040 945000 946050 948753 954000 954720 961632 963900 964600 966875 973080 982800 983892 992160 994500 1001700 1002456 1009120 1013625 1020000 1021734 1023750 1033500 1041768 1044225 1053000 1054170 1060000 1071000 1073250 1081200 1085175 1092000 1101600 1105000 1113000 1113840 1116180 1124448 1126250 1134000 1135260 1144800 1147500 1157520 1160250 1167696 1170000 1171300 1179360 1190000 1192500 1193400 1202040 1204875 1205750 1216350 1228500 1229865 1237600 1240200 1243125 1252125 1253070 1260000 1261400 1265004 1285200 1291875 1297440 1302210 1311856 1316250 1326000 1335600 1336608 1338750 1351500 1362312 1365000 1377000 1378000 1389024 1391250 1392300 1395225 1404000 1405560 1417500 1419075 1428000 1431000 1432080 1446900 1459620 1464125 1474200 1475838 1484000 1488240 1491750 1502550 1513680 1530000 1535625 1542240 1547000 1550250 1562652 1576750 1581255 1590000 1591200 1602720 1606500 1620000 1621800 1638000 1639820 1653600 1657500 1669500 1670760 1686672 1689375 1702890 1717200 1721250 1722500 1736280 1740375 1755000 1756950 1785000 1785888 1788750 1790100 1802000 1808625 1816416 1820000 1824525 1836000 1842750 1855000 1856400 1860300 1874080 1890000 1892100 1897506 1908000 1927800 1929200 1933750 1946160 1953315 1965600 1967784 1989000 2003400 2004912 2008125 2027250 2043468 2047500 2049775 2067000 2083536 2086875 2088450 2106000 2108340 2142000 2146500 2162400 2170350 2210000 2213757 2226000 2227680 2232360 2237625 2252500 2268000 2270520 2295000 2315040 2320500 2325375 2335392 2340000 2342600 2365125 2380000 2385000 2386800 2404080 2409750 2411500 2432700 2457000 2459730 2480400 2486250 2504250 2506140 2522800 2530008 2554335 2570400 2583750 2604420 2623712 2632500 2635425 2652000 2671200 2677500 2683125 2703000 2724624 2730000 2754000 2756000 2782500 2784600 2790450 2811120 2835000 2838150 2862000 2864160 2893800 2900625 2919240 2928250 2948400 2951676 2976480 2983500 3005100 3014375 3027360 3040875 3060000 3071250 3094000 3100500 3125304 3132675 3153500 3162510 3180000 3213000 3243600 3255525 3276000 3279640 3315000 3339000 3341520 3373344 3378750 3405780 3434400 3442500 3445000 3472560 3480750 3510000 3513900 3570000 3577500 3580200 3604000 3617250 3649050 3685500 3689595 3710000 3712800 3720600 3729375 3756375 3780000 3784200 3795012 3855600 3858400 3867500 3875625 3892320 3906630 3935568 3941875 3978000 4006800 4009824 4016250 4054500 4086936 4095000 4099550 4134000 4167072 4173750 4176900 4212000 4216680 4257225 4284000 4293000 4340700 4392375 4420000 4427514 4452000 4464720 4475250 4505000 4541040 4590000 4606875 4641000 4650750 4685200 4730250 4743765 4770000 4773600 4808160 4819500 4823000 4865400 4914000 4919460 4960800 4972500 5008500 5012280 5045600 5060016 5068125 5108670 5167500 5208840 5221125 5265000 5270850 5355000 5366250 5406000 5425875 5449248 5460000 5508000 5565000 5569200 5580900 5622240 5670000 5676300 5724000 5787600 5801250 5838480 5856500 5896800 5903352 5967000 6010200 6024375 6028750 6081750 6142500 6149325 6188000 6201000 6250608 6260625 6265350 6307000 6325020 6426000 6487200 6511050 6559280 6630000 6641271 6678000 6683040 6757500 6811560 6885000 6890000 6945120 6961500 6976125 7020000 7027800 7095375 7140000 7155000 7160400 7234500 7298100 7320625 7371000 7379190 7420000 7441200 7458750 7512750 7568400 7590024 7711200 7735000 7751250 7813260 7871136 7883750 7906275 7956000 8013600 8032500 8109000 8173872 8190000 8199100 8268000 8347500 8353800 8433360 8514450 8586000 8681400 8701875 8784750 8855028 8929440 8950500 9010000 9043125 9082080 9122625 9180000 9213750 9282000 9301500 9370400 9460500 9487530 9540000 9639000 9646000 9730800 9766575 9828000 9838920 9945000 10017000 10024560 10120032 10136250 10217340 10248875 10335000 10417680 10442250 10530000 10541700 10710000 10732500 10812000 10851750 11068785 11130000 11138400 11161800 11188125 11340000 11352600 11575200 11602500 11626875 11676960 11713000 11806704 11825625 11934000 12020400 12048750 12057500 12163500 12285000 12298650 12402000 12501216 12521250 12530700 12614000 12650040 12771675 12852000 13022100 13118560 13177125 13260000 13282542 13356000 13515000 13623120 13770000 13780000 13923000 13952250 14055600 14190750 14310000 14320800 14469000 14596200 14641250 14742000 14758380 14882400 14917500 15025500 15136800 15180048 15204375 15470000 15502500 15626520 15663375 15767500 15812550 16065000 16218000 16277625 16347744 16380000 16398200 16695000 16707600 16866720 17028900 17172000 17362800 17403750 17569500 17710056 17901000 18020000 18086250 18245250 18427500 18447975 18564000 18603000 18781875 18921000 18975060 19278000 19292000 19461600 19533150 19677840 19890000 20034000 20049120 20272500 20434680 20497750 20670000 20835360 20884500 21060000 21083400 21286125 21420000 21465000 21703500 21961875 22137570 22260000 22323600 22376250 22705200 23205000 23253750 23426000 23613408 23651250 23718825 23868000 24040800 24097500 24115000 24327000 24570000 24597300 24804000 25042500 25061400 25228000 25300080 25543350 26044200 26105625 26354250 26565084 27030000 27129375 27246240 27540000 27846000 27904500 28111200 28381500 28620000 28938000 29192400 29282500 29484000 29516760 29835000 30051000 30360096 30408750 30746625 30940000 31005000 31253040 31326750 31535000 31625100 32130000 32436000 32555250 32796400 33206355 33390000 33415200 34057800 34725600 34807500 34880625 35139000 35420112 35476875 35802000 36172500 36490500 36855000 36895950 37206000 37563750 37842000 37950120 38556000 39066300 39355680 39531375 39780000 40068000 40545000 40869360 40995500 41340000 41769000 42166800 42572250 42930000 43407000 43923750 44275140 44647200 44752500 45410400 45613125 46410000 46507500 46852000 47302500 47437650 48195000 48230000 48654000 48832875 49140000 49194600 50085000 50122800 50600160 51086700 51244375 52088400 52211250 52708500 53130168 54060000 54258750 55343925 55692000 55809000 56763000 57876000 58384800 58565000 59033520 59670000 60102000 60817500 61493250 62010000 62506080 62653500 63070000 63250200 63858375 64260000 65110500 65592800 65885625 66412710 66780000 68115600 69615000 69761250 70278000 70840224 70953750 71604000 72345000 72981000 73710000 73791900 74412000 75127500 75684000 75900240 78132600 78316875 79062750 81090000 81388125 81738720 81991000 83538000 84333600 85144500 85860000 86814000 87847500 88550280 89505000 91226250 92239875 92820000 93015000 94605000 94875300 96390000 96460000 97308000 97665750 98389200 100170000 100245600 102173400 102488750 104176800 104422500 105417000 106260336 106430625 108517500 110687850 111618000 113526000 117130000 118067040 118594125 119340000 120204000 121635000 122986500 124020000 125307000 126140000 126500400 127716750 130221000 131771250 132825420 136231200 139230000 139522500 140556000 141907500 144690000 145962000 147420000 147583800 150255000 151800480 153733125 156265200 156633750 158125500 162180000 162776250 163982000 166031775 167076000 170289000 173628000 175695000 177100560 179010000 182452500 184479750 186030000 189210000 189750600 192780000 195331500 196778400 197656875 200340000 204346800 204977500 208845000 210834000 212520672 212861250 217035000 221375700 223236000 227052000 234260000 237188250 243270000 244164375 245973000 250614000 253000800 255433500 260442000 263542500 265650840 276719625 278460000 279045000 283815000 289380000 291924000 295167600 300510000 307466250 312530400 313267500 316251000 319291875 325552500 327964000 332063550 340578000 351390000 354201120 358020000 364905000 368959500 372060000 378420000 379501200 390663000 395313750 408693600 409955000 417690000 421668000 425722500 434070000 442751400 461199375 474376500 486540000 488328750 491946000 501228000 510867000 520884000 527085000 531301680 553439250 558090000 567630000 590335200 592970625 601020000 614932500 626535000 632502000 638583750 651105000 664127100 681156000 702780000 729810000 737919000 759002400 781326000 790627500 819910000 830158875 835380000 851445000 868140000 885502800 922398750 948753000 976657500 983892000 1021734000 1054170000 1062603360 1106878500 1116180000 1135260000 1185941250 1229865000 1253070000 1265004000 1277167500 1302210000 1328254200 1383598125 1459620000 1475838000 1562652000 1581255000 1639820000 1660317750 1702890000 1771005600 1844797500 1897506000 1953315000 2043468000 2108340000 2213757000 2371882500 2459730000 2506140000 2554335000 2604420000 2656508400 2767196250 2951676000 3162510000 3320635500 3405780000 3689595000 3795012000 3906630000 4150794375 4427514000 4743765000 4919460000 5108670000 5313016800 5534392500 6325020000 6641271000 7379190000 7813260000 8301588750 8855028000 9487530000 10217340000 11068785000 13282542000 14758380000 16603177500 18975060000 22137570000 26565084000 33206355000 44275140000 66412710000 132825420000
- Sum of all divisors σ(n): 648128682432
- Sum of proper divisors (its aliquot sum) s(n): 515303262432
- 132825420000 is an abundant number, because the sum of its proper divisors (515303262432) is greater than itself. Its abundance is 382477842432
Bases of 132825420000
- Binary: 11110111011010000001100010000111000002
- Hexadecimal: 0x1EED0310E0
- Base-36: 1P0OTQ00
Squares and roots of 132825420000
- 132825420000 squared (1328254200002) is 17642592198176400000000
- 132825420000 cubed (1328254200003) is 2343384718611503564088000000000000
-
The
square root of 132825420000 is 364452.2190905137 -
The
cube root of 132825420000 is 5102.2343151191
Scales and comparisons
How big is 132825420000?- 132,825,420,000 seconds is equal to 4,223 years, 22 weeks, 5 days, 6 hours.
-
To count from 1 to 132,825,420,000 would take you about eight thousand, four hundred forty-six 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 132825420000 cubic inches would be around 425.2 feet tall.
Recreational maths with 132825420000
- 132825420000 backwards is 000024528231
- 132825420000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132825420000's digits is 27
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 132825420000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 132825420000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/132825420000/
Chicago style:
Numbermatics. 2024. "Number 132825420000 - Facts about the integer". https://numbermatics.com/n/132825420000/
The information we have on file for 132825420000 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!
Keywords: Divisors of 132825420000, math, Factors of 132825420000, curriculum, school, college, exams, university, Prime factorization of 132825420000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two billion, eight hundred twenty-five million, four hundred twenty thousand.