132468341760000
132,468,341,760,000 is an even composite number composed of six prime numbers multiplied together.
132468341760000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 132468341760000:
213 × 33 × 54 × 23 × 61 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 23 × 61 × 683)See below for interesting mathematical facts about the number 132468341760000 from the Numbermatics database.
Names of 132468341760000
- Cardinal: 132468341760000 can be written as One hundred thirty-two trillion, four hundred sixty-eight billion, three hundred forty-one million, seven hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3246834176 × 1014
Factors of 132468341760000
Divisors of 132468341760000
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 48 50 54 60 61 64 69 72 75 80 90 92 96 100 108 115 120 122 125 128 135 138 144 150 160 180 183 184 192 200 207 216 225 230 240 244 250 256 270 276 288 300 305 320 345 360 366 368 375 384 400 414 432 450 460 480 488 500 512 540 549 552 575 576 600 610 621 625 640 675 683 690 720 732 736 750 768 800 828 864 900 915 920 960 976 1000 1024 1035 1080 1098 1104 1125 1150 1152 1200 1220 1242 1250 1280 1350 1366 1380 1403 1440 1464 1472 1500 1525 1536 1600 1647 1656 1725 1728 1800 1830 1840 1875 1920 1952 2000 2048 2049 2070 2160 2196 2208 2250 2300 2304 2400 2440 2484 2500 2560 2700 2732 2745 2760 2806 2875 2880 2928 2944 3000 3050 3072 3105 3200 3294 3312 3375 3415 3450 3456 3600 3660 3680 3750 3840 3904 4000 4096 4098 4140 4209 4320 4392 4416 4500 4575 4600 4608 4800 4880 4968 5000 5120 5175 5400 5464 5490 5520 5612 5625 5750 5760 5856 5888 6000 6100 6144 6147 6210 6400 6588 6624 6750 6830 6900 6912 7015 7200 7320 7360 7500 7625 7680 7808 8000 8192 8196 8235 8280 8418 8625 8640 8784 8832 9000 9150 9200 9216 9600 9760 9936 10000 10240 10245 10350 10800 10928 10980 11040 11224 11250 11500 11520 11712 11776 12000 12200 12288 12294 12420 12627 12800 13176 13248 13500 13660 13725 13800 13824 14030 14375 14400 14640 14720 15000 15250 15360 15525 15616 15709 16000 16392 16470 16560 16836 16875 17075 17250 17280 17568 17664 18000 18300 18400 18432 18441 19200 19520 19872 20000 20480 20490 20700 21045 21600 21856 21960 22080 22448 22500 22875 23000 23040 23424 23552 24000 24400 24576 24588 24840 25254 25600 25875 26352 26496 27000 27320 27450 27600 27648 28060 28750 28800 29280 29440 30000 30500 30720 30735 31050 31232 31418 32000 32784 32940 33120 33672 33750 34150 34500 34560 35075 35136 35328 36000 36600 36800 36864 36882 37881 38125 38400 39040 39744 40000 40960 40980 41175 41400 41663 42090 43125 43200 43712 43920 44160 44896 45000 45750 46000 46080 46848 47104 47127 48000 48800 49176 49680 50508 51200 51225 51750 52704 52992 54000 54640 54900 55200 55296 56120 57500 57600 58560 58880 60000 61000 61440 61470 62100 62464 62836 63135 64000 65568 65880 66240 67344 67500 68300 68625 69000 69120 70150 70272 70656 72000 73200 73600 73728 73764 75762 76250 76800 77625 78080 78545 79488 80000 81960 82350 82800 83326 84180 85375 86250 86400 87424 87840 88320 89792 90000 91500 92000 92160 92205 93696 94208 94254 96000 97600 98352 99360 101016 102400 102450 103500 105225 105408 105984 108000 109280 109800 110400 110592 112240 114375 115000 115200 117120 117760 120000 122000 122880 122940 124200 124928 124989 125672 126270 128000 129375 131136 131760 132480 134688 135000 136600 137250 138000 138240 140300 140544 141312 141381 144000 146400 147200 147528 151524 152500 153600 153675 155250 156160 157090 158976 160000 163920 164700 165600 166652 168360 170750 172500 172800 174848 175375 175680 176640 179584 180000 183000 184000 184320 184410 187392 188416 188508 189405 192000 195200 196704 198720 202032 204800 204900 205875 207000 208315 210450 210816 211968 216000 218560 219600 220800 221184 224480 228750 230000 230400 234240 235520 235635 240000 244000 245880 248400 249856 249978 251344 252540 256000 256125 258750 262272 263520 264960 269376 270000 273200 274500 276000 276480 280600 281088 282624 282762 288000 292800 294400 295056 303048 305000 307200 307350 310500 312320 314180 315675 317952 320000 327840 329400 331200 333304 336720 341500 343125 345000 345600 349696 350750 351360 353280 359168 360000 366000 368000 368640 368820 374784 374967 377016 378810 384000 388125 390400 392725 393408 397440 404064 409800 411750 414000 416630 420900 421632 423936 424143 426875 432000 437120 439200 441600 448960 457500 460000 460800 461025 468480 471040 471270 480000 488000 491760 496800 499712 499956 502688 505080 512000 512250 517500 524544 526125 527040 529920 538752 540000 546400 549000 552000 552960 561200 562176 565248 565524 576000 585600 588800 590112 606096 610000 614400 614700 621000 624640 624945 628360 631350 635904 640000 655680 658800 662400 666608 673440 683000 686250 690000 691200 699392 701500 702720 706560 706905 718336 720000 732000 736000 737640 749568 749934 754032 757620 768000 768375 776250 780800 785450 786816 794880 808128 819600 823500 828000 833260 841800 843264 847872 848286 853750 864000 874240 876875 878400 883200 897920 915000 920000 921600 922050 936960 942080 942540 947025 958249 960000 976000 983520 993600 999912 1005376 1010160 1024000 1024500 1029375 1035000 1041575 1049088 1052250 1054080 1059840 1077504 1080000 1092800 1098000 1104000 1105920 1122400 1124352 1124901 1131048 1152000 1171200 1177600 1178175 1180224 1212192 1220000 1229400 1242000 1249280 1249890 1256720 1262700 1271808 1280000 1280625 1311360 1317600 1324800 1333216 1346880 1366000 1372500 1380000 1382400 1398784 1403000 1405440 1413120 1413810 1436672 1440000 1464000 1472000 1475280 1499136 1499868 1508064 1515240 1536000 1536750 1552500 1561600 1570900 1573632 1578375 1589760 1616256 1639200 1647000 1656000 1666520 1683600 1686528 1695744 1696572 1707500 1728000 1748480 1753750 1756800 1766400 1795840 1830000 1840000 1843200 1844100 1873920 1874835 1885080 1894050 1916498 1920000 1952000 1963625 1967040 1987200 1999824 2010752 2020320 2049000 2058750 2070000 2083150 2098176 2104500 2108160 2119680 2120715 2155008 2160000 2185600 2196000 2208000 2244800 2248704 2249802 2262096 2304000 2305125 2342400 2355200 2356350 2360448 2424384 2440000 2458800 2484000 2498560 2499780 2513440 2525400 2543616 2560000 2561250 2622720 2630625 2635200 2649600 2666432 2693760 2732000 2745000 2760000 2764800 2797568 2806000 2810880 2826240 2827620 2873344 2874747 2880000 2928000 2944000 2950560 2999736 3016128 3030480 3072000 3073500 3105000 3123200 3124725 3141800 3147264 3156750 3179520 3232512 3278400 3294000 3312000 3333040 3367200 3373056 3393144 3415000 3456000 3496960 3507500 3513600 3532800 3534525 3591680 3660000 3680000 3688200 3747840 3749670 3770160 3788100 3832996 3840000 3841875 3904000 3927250 3934080 3974400 3999648 4021504 4040640 4098000 4117500 4140000 4166300 4196352 4209000 4216320 4239360 4241430 4310016 4320000 4371200 4392000 4416000 4489600 4497408 4499604 4524192 4608000 4610250 4684800 4710400 4712700 4720896 4735125 4791245 4848768 4880000 4917600 4968000 4999560 5026880 5050800 5087232 5120000 5122500 5207875 5245440 5261250 5270400 5299200 5332864 5387520 5464000 5490000 5520000 5529600 5595136 5612000 5621760 5624505 5655240 5746688 5749494 5760000 5856000 5888000 5890875 5901120 5999472 6032256 6060960 6147000 6210000 6246400 6249450 6283600 6294528 6313500 6359040 6465024 6556800 6588000 6624000 6666080 6734400 6746112 6786288 6830000 6912000 6993920 7015000 7027200 7065600 7069050 7183360 7320000 7360000 7376400 7495680 7499340 7540320 7576200 7665992 7680000 7683750 7808000 7854500 7868160 7891875 7948800 7999296 8043008 8081280 8196000 8235000 8280000 8332600 8392704 8418000 8432640 8478720 8482860 8620032 8624241 8640000 8742400 8784000 8832000 8979200 8999208 9048384 9216000 9220500 9369600 9374175 9425400 9441792 9470250 9582490 9697536 9760000 9818125 9835200 9936000 9999120 10053760 10101600 10245000 10415750 10490880 10522500 10540800 10598400 10603575 10665728 10775040 10928000 10980000 11040000 11224000 11243520 11249010 11310480 11493376 11498988 11520000 11525625 11712000 11776000 11781750 11802240 11998944 12064512 12121920 12294000 12420000 12492800 12498900 12567200 12589056 12627000 12718080 12930048 13113600 13176000 13248000 13332160 13468800 13492224 13572576 13660000 13824000 13987840 14030000 14054400 14131200 14138100 14366720 14373735 14640000 14720000 14752800 14998680 15080640 15152400 15331984 15360000 15367500 15616000 15623625 15709000 15736320 15783750 15897600 15998592 16086016 16162560 16392000 16470000 16560000 16665200 16785408 16836000 16865280 16965720 17240064 17248482 17280000 17484800 17568000 17664000 17672625 17958400 17998416 18096768 18441000 18739200 18748350 18850800 18883584 18940500 19164980 19395072 19520000 19636250 19670400 19872000 19998240 20107520 20203200 20490000 20831500 20981760 21045000 21081600 21196800 21207150 21331456 21550080 21856000 21960000 22080000 22448000 22487040 22498020 22620960 22997976 23040000 23051250 23424000 23552000 23563500 23604480 23675625 23956225 23997888 24129024 24243840 24588000 24840000 24997800 25134400 25178112 25254000 25436160 25860096 25872723 26039375 26227200 26352000 26496000 26664320 26937600 27145152 27320000 27648000 27975680 28060000 28108800 28122525 28276200 28733440 28747470 29280000 29440000 29454375 29505600 29997360 30161280 30304800 30663968 30735000 31232000 31247250 31418000 31472640 31567500 31795200 31997184 32172032 32325120 32784000 32940000 33120000 33330400 33672000 33730560 33931440 34480128 34496964 34560000 34969600 35136000 35328000 35345250 35916800 35996832 36193536 36882000 37478400 37496700 37701600 37767168 37881000 38329960 38790144 39040000 39272500 39340800 39744000 39996480 40215040 40406400 40980000 41663000 41963520 42090000 42163200 42393600 42414300 42662912 43100160 43121205 43712000 43920000 44160000 44896000 44996040 45241920 45995952 46080000 46102500 46848000 46870875 47127000 47208960 47351250 47912450 47995776 48258048 48487680 49176000 49680000 49995600 50268800 50356224 50508000 51720192 51745446 52078750 52454400 52704000 52992000 53017875 53328640 53875200 54290304 54640000 56120000 56217600 56245050 56552400 57466880 57494940 58560000 58880000 58908750 59011200 59994720 60322560 60609600 61327936 61470000 62464000 62494500 62836000 62945280 63135000 63590400 63994368 64344064 64650240 65568000 65880000 66240000 66660800 67344000 67461120 67862880 68993928 69120000 69939200 70272000 70656000 70690500 71833600 71868675 71993664 72387072 73764000 74993400 75403200 75534336 75762000 76659920 77580288 78080000 78118125 78545000 78681600 79488000 79992960 80430080 80812800 81960000 83326000 83927040 84180000 84326400 84828600 85325824 86200320 86242410 87424000 87840000 88320000 88363125 89792000 89992080 90483840 91991904 92205000 93696000 93741750 94254000 94417920 94702500 95824900 95991552 96516096 96975360 98352000 99360000 99991200 100537600 101016000 103440384 103490892 104157500 104908800 105408000 105984000 106035750 106657280 107750400 108580608 109280000 112240000 112435200 112490100 113104800 114989880 117120000 117760000 117817500 118022400 119781125 119989440 120645120 121219200 122655872 122940000 124989000 125672000 125890560 126270000 127180800 127988736 128688128 129300480 129363615 131136000 131760000 132480000 133321600 134688000 135725760 137987856 138240000 139878400 140544000 140612625 141381000 143667200 143737350 143987328 144774144 147528000 149986800 150806400 151068672 151524000 153319840 155160576 156160000 156236250 157090000 157363200 158976000 159985920 160860160 161625600 163920000 166652000 168360000 168652800 169657200 170651648 172400640 172484820 174848000 175680000 176640000 176726250 179584000 179984160 180967680 183983808 184410000 187392000 187483500 188508000 188835840 189405000 191649800 191983104 193032192 193950720 196704000 198720000 199982400 201075200 202032000 206981784 208315000 209817600 210816000 211968000 212071500 213314560 215500800 215606025 217161216 218560000 224480000 224980200 226209600 229979760 234240000 234354375 235635000 236044800 239562250 239978880 241290240 242438400 245311744 245880000 249978000 251344000 251781120 252540000 255977472 258600960 258727230 262272000 263520000 264960000 265089375 266643200 269376000 271451520 275975712 281088000 281225250 282762000 287334400 287474700 287974656 289548288 295056000 299973600 301612800 303048000 306639680 310321152 312320000 312472500 314180000 314726400 317952000 319971840 321720320 323251200 327840000 333304000 336720000 337305600 339314400 341303296 344969640 349696000 351360000 353280000 353452500 359168000 359343375 359968320 361935360 367967616 368820000 374967000 377016000 377671680 378810000 383299600 383966208 386064384 387901440 393408000 397440000 399964800 402150400 404064000 413963568 416630000 419635200 421632000 424143000 426629120 431001600 431212050 434322432 437120000 448960000 449960400 452419200 459959520 468480000 468708750 471270000 472089600 479124500 479957760 482580480 484876800 490623488 491760000 499956000 502688000 505080000 511954944 517201920 517454460 524544000 527040000 529920000 530178750 533286400 538752000 542903040 551951424 562176000 562450500 565524000 574949400 575949312 579096576 590112000 598905625 599947200 603225600 606096000 613279360 624945000 628360000 629452800 635904000 639943680 643440640 646502400 646818075 655680000 666608000 673440000 678628800 689939280 699392000 702720000 703063125 706905000 718336000 718686750 719936640 723870720 735935232 737640000 749934000 754032000 755343360 757620000 766599200 767932416 775802880 786816000 794880000 799929600 804300800 808128000 827927136 833260000 843264000 848286000 853258240 862003200 862424100 868644864 874240000 897920000 899920800 904838400 919919040 936960000 937417500 942540000 944179200 958249000 959915520 965160960 969753600 981246976 983520000 999912000 1005376000 1010160000 1023909888 1034908920 1049088000 1054080000 1059840000 1060357500 1066572800 1077504000 1078030125 1085806080 1103902848 1124901000 1131048000 1149898800 1151898624 1158193152 1180224000 1197811250 1199894400 1206451200 1212192000 1226558720 1249890000 1256720000 1258905600 1279887360 1293004800 1293636150 1311360000 1333216000 1346880000 1357257600 1379878560 1405440000 1406126250 1413810000 1436672000 1437373500 1439873280 1447741440 1471870464 1475280000 1499868000 1508064000 1515240000 1533198400 1535864832 1551605760 1573632000 1589760000 1599859200 1608601600 1616256000 1655854272 1666520000 1686528000 1696572000 1706516480 1724848200 1737289728 1748480000 1795840000 1796716875 1799841600 1809676800 1839838080 1874835000 1885080000 1888358400 1916498000 1919831040 1930321920 1939507200 1962493952 1967040000 1999824000 2010752000 2020320000 2069817840 2098176000 2108160000 2120715000 2133145600 2155008000 2156060250 2171612160 2207805696 2249802000 2262096000 2299797600 2303797248 2360448000 2395622500 2399788800 2412902400 2424384000 2453117440 2499780000 2513440000 2559774720 2586009600 2587272300 2622720000 2666432000 2693760000 2714515200 2759757120 2810880000 2812252500 2827620000 2874747000 2879746560 2895482880 2943740928 2950560000 2999736000 3016128000 3030480000 3066396800 3071729664 3147264000 3179520000 3199718400 3217203200 3232512000 3234090375 3311708544 3333040000 3393144000 3449696400 3474579456 3496960000 3591680000 3593433750 3599683200 3619353600 3679676160 3749670000 3770160000 3776716800 3832996000 3839662080 3879014400 3924987904 3934080000 3999648000 4021504000 4040640000 4139635680 4216320000 4241430000 4266291200 4310016000 4312120500 4343224320 4415611392 4499604000 4524192000 4599595200 4607594496 4720896000 4791245000 4799577600 4825804800 4848768000 4906234880 4999560000 5026880000 5119549440 5174544600 5245440000 5332864000 5387520000 5390150625 5429030400 5519514240 5624505000 5655240000 5749494000 5759493120 5790965760 5887481856 5901120000 5999472000 6032256000 6060960000 6132793600 6294528000 6399436800 6465024000 6468180750 6623417088 6666080000 6786288000 6899392800 7183360000 7186867500 7199366400 7238707200 7359352320 7499340000 7540320000 7665992000 7679324160 7758028800 7849975808 7868160000 7999296000 8043008000 8081280000 8279271360 8432640000 8482860000 8532582400 8624241000 8686448640 8831222784 8999208000 9048384000 9199190400 9215188992 9441792000 9582490000 9599155200 9651609600 9697536000 9812469760 9999120000 10053760000 10349089200 10490880000 10665728000 10775040000 10780301250 10858060800 11039028480 11249010000 11310480000 11498988000 11518986240 11774963712 11802240000 11998944000 12064512000 12121920000 12265587200 12798873600 12930048000 12936361500 13246834176 13332160000 13572576000 13798785600 14373735000 14398732800 14477414400 14718704640 14998680000 15080640000 15331984000 15358648320 15736320000 15998592000 16086016000 16162560000 16170451875 16558542720 16965720000 17248482000 17372897280 17662445568 17998416000 18096768000 18398380800 18883584000 19164980000 19198310400 19395072000 19624939520 19998240000 20107520000 20698178400 21331456000 21550080000 21560602500 21716121600 22078056960 22498020000 22620960000 22997976000 23037972480 23549927424 23604480000 23997888000 24129024000 24243840000 24531174400 25597747200 25872723000 26493668352 26664320000 27145152000 27597571200 28747470000 28797465600 28954828800 29437409280 29997360000 30161280000 30663968000 31472640000 31997184000 32325120000 32340903750 33117085440 33931440000 34496964000 35324891136 35996832000 36193536000 36796761600 38329960000 38396620800 38790144000 39249879040 39996480000 40215040000 41396356800 42662912000 43121205000 43432243200 44156113920 44996040000 45241920000 45995952000 46075944960 47208960000 47995776000 48258048000 48487680000 49062348800 51745446000 52987336704 53328640000 54290304000 55195142400 57494940000 57594931200 58874818560 59994720000 60322560000 61327936000 63994368000 64650240000 64681807500 66234170880 67862880000 68993928000 70649782272 71993664000 72387072000 73593523200 76659920000 76793241600 79992960000 80430080000 82792713600 86242410000 86864486400 88312227840 89992080000 90483840000 91991904000 94417920000 95991552000 96975360000 98124697600 103490892000 105974673408 106657280000 108580608000 110390284800 114989880000 115189862400 117749637120 119989440000 120645120000 122655872000 127988736000 129363615000 132468341760 135725760000 137987856000 143987328000 144774144000 147187046400 153319840000 159985920000 165585427200 172484820000 176624455680 179984160000 180967680000 183983808000 191983104000 193950720000 196249395200 206981784000 211949346816 213314560000 217161216000 220780569600 229979760000 230379724800 239978880000 241290240000 245311744000 258727230000 264936683520 271451520000 275975712000 287974656000 294374092800 306639680000 319971840000 331170854400 344969640000 353248911360 359968320000 361935360000 367967616000 383966208000 413963568000 434322432000 441561139200 459959520000 479957760000 490623488000 517454460000 529873367040 542903040000 551951424000 575949312000 588748185600 613279360000 639943680000 662341708800 689939280000 719936640000 723870720000 735935232000 827927136000 883122278400 919919040000 959915520000 981246976000 1034908920000 1059746734080 1085806080000 1103902848000 1151898624000 1226558720000 1324683417600 1379878560000 1439873280000 1471870464000 1655854272000 1766244556800 1839838080000 1919831040000 2069817840000 2171612160000 2207805696000 2453117440000 2649366835200 2759757120000 2879746560000 2943740928000 3311708544000 3679676160000 4139635680000 4415611392000 4906234880000 5298733670400 5519514240000 5759493120000 6623417088000 7359352320000 8279271360000 8831222784000 11039028480000 13246834176000 14718704640000 16558542720000 22078056960000 26493668352000 33117085440000 44156113920000 66234170880000 132468341760000
- Sum of all divisors σ(n): 520910953136640
- Sum of proper divisors (its aliquot sum) s(n): 388442611376640
- 132468341760000 is an abundant number, because the sum of its proper divisors (388442611376640) is greater than itself. Its abundance is 255974269616640
Bases of 132468341760000
- Binary: 111100001111010101100000111010001100000000000002
- Hexadecimal: 0x787AB0746000
- Base-36: 1AYF46GAO0
Squares and roots of 132468341760000
- 132468341760000 squared (1324683417600002) is 17547861568644159897600000000
- 132468341760000 cubed (1324683417600003) is 2324536123432324273143363403776000000000000
-
The
square root of 132468341760000 is 11509489.2049994991 -
The
cube root of 132468341760000 is 50976.5805275761
Scales and comparisons
How big is 132468341760000?- 132,468,341,760,000 seconds is equal to 4,212,083 years, 26 weeks, 6 days.
-
To count from 1 to 132,468,341,760,000 would take you about ten million, five hundred thirty thousand, two hundred 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 132468341760000 cubic inches would be around 4248 feet tall.
Recreational maths with 132468341760000
- 132468341760000 backwards is 000067143864231
- 132468341760000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132468341760000's digits is 45
- 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 132468341760000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 132468341760000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/132468341760000/
Chicago style:
Numbermatics. 2024. "Number 132468341760000 - Facts about the integer". https://numbermatics.com/n/132468341760000/
The information we have on file for 132468341760000 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 132468341760000, math, Factors of 132468341760000, curriculum, school, college, exams, university, Prime factorization of 132468341760000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two trillion, four hundred sixty-eight billion, three hundred forty-one million, seven hundred sixty thousand.