64137440640000
64,137,440,640,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 64137440640000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1980 divisors.
64137440640000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 64137440640000:
210 × 3 × 54 × 72 × 13 × 2292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 229 × 229)See below for interesting mathematical facts about the number 64137440640000 from the Numbermatics database.
Names of 64137440640000
- Cardinal: 64137440640000 can be written as Sixty-four trillion, one hundred thirty-seven billion, four hundred forty million, six hundred forty thousand.
Scientific notation
- Scientific notation: 6.413744064 × 1013
Factors of 64137440640000
Divisors of 64137440640000
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 125 128 130 140 147 150 156 160 168 175 182 192 195 196 200 208 210 224 229 240 245 250 256 260 273 280 294 300 312 320 325 336 350 364 375 384 390 392 400 416 420 448 455 458 480 490 500 512 520 525 546 560 588 600 624 625 637 640 650 672 687 700 728 735 750 768 780 784 800 832 840 875 896 910 916 960 975 980 1000 1024 1040 1050 1092 1120 1145 1176 1200 1225 1248 1250 1274 1280 1300 1344 1365 1374 1400 1456 1470 1500 1536 1560 1568 1600 1603 1625 1664 1680 1750 1792 1820 1832 1875 1911 1920 1950 1960 2000 2080 2100 2184 2240 2275 2290 2352 2400 2450 2496 2500 2548 2560 2600 2625 2688 2730 2748 2800 2912 2940 2977 3000 3072 3120 3136 3185 3200 3206 3250 3328 3360 3435 3500 3584 3640 3664 3675 3750 3822 3840 3900 3920 4000 4160 4200 4368 4375 4480 4550 4580 4704 4800 4809 4875 4900 4992 5000 5096 5120 5200 5250 5376 5460 5496 5600 5725 5824 5880 5954 6000 6125 6240 6272 6370 6400 6412 6500 6656 6720 6825 6870 7000 7168 7280 7328 7350 7500 7644 7680 7800 7840 8000 8015 8125 8320 8400 8736 8750 8931 8960 9100 9160 9408 9555 9600 9618 9750 9800 9984 10000 10192 10400 10500 10752 10920 10992 11200 11221 11375 11450 11648 11760 11908 12000 12250 12480 12544 12740 12800 12824 13000 13125 13312 13440 13650 13740 14000 14560 14656 14700 14885 15000 15288 15360 15600 15680 15925 16000 16030 16250 16640 16800 17175 17472 17500 17862 17920 18200 18320 18375 18816 19110 19200 19236 19500 19600 19968 20000 20384 20800 20839 21000 21504 21840 21984 22400 22442 22750 22900 23296 23520 23816 24000 24045 24375 24500 24960 25088 25480 25600 25648 26000 26250 26880 27300 27480 28000 28625 29120 29312 29400 29770 30000 30576 30625 31200 31360 31850 32000 32060 32500 33280 33600 33663 34125 34350 34944 35000 35724 35840 36400 36640 36750 37632 38220 38400 38472 39000 39200 39936 40000 40075 40768 41600 41678 42000 43680 43968 44655 44800 44884 45500 45800 46592 47040 47632 47775 48000 48090 48750 49000 49920 50176 50960 51296 52000 52441 52500 53760 54600 54960 56000 56105 56875 57250 58240 58624 58800 59540 60000 61152 61250 62400 62517 62720 63700 64000 64120 65000 66560 67200 67326 68250 68700 69888 70000 71448 72800 73280 73500 74425 75264 76440 76800 76944 78000 78400 79625 80000 80150 81536 83200 83356 84000 85875 87360 87936 89310 89600 89768 91000 91600 91875 93184 94080 95264 95550 96000 96180 97500 98000 99840 101920 102592 104000 104195 104882 105000 107520 109200 109920 112000 112210 113750 114500 116480 117248 117600 119080 120000 120225 122304 122500 124800 125034 125440 127400 128000 128240 130000 134400 134652 136500 137400 139776 140000 142896 143125 145600 145873 146560 147000 148850 150528 152880 153888 156000 156800 157323 159250 160000 160300 163072 166400 166712 168000 168315 170625 171750 174720 175872 178620 179200 179536 182000 183200 183750 188160 190528 191100 192000 192360 195000 196000 199680 200375 203840 205184 208000 208390 209764 210000 218400 219840 223275 224000 224420 227500 229000 232960 234496 235200 238160 238875 240000 240450 244608 245000 249600 250068 250880 254800 256480 260000 262205 268800 269304 273000 274800 279552 280000 280525 285792 286250 291200 291746 293120 294000 297700 305760 307776 312000 312585 313600 314646 318500 320000 320600 326144 332800 333424 336000 336630 341250 343500 349440 351744 357240 359072 364000 366400 367087 367500 372125 376320 381056 382200 384000 384720 390000 392000 398125 400750 407680 410368 416000 416780 419528 420000 429375 436800 437619 439680 446550 448000 448840 455000 458000 465920 470400 476320 477750 480000 480900 489216 490000 499200 500136 509600 512960 520000 520975 524410 537600 538608 546000 549600 560000 561050 571584 572500 582400 583492 586240 588000 595400 601125 611520 615552 624000 625170 627200 629292 637000 640000 641200 652288 666848 672000 673260 681733 682500 687000 698880 703488 714480 718144 728000 729365 732800 734174 735000 744250 752640 762112 764400 769440 780000 784000 786615 796250 801500 815360 820736 832000 833560 839056 840000 841575 858750 873600 875238 879360 893100 896000 897680 910000 916000 940800 952640 955500 960000 961800 978432 980000 998400 1000272 1001875 1019200 1025920 1040000 1041950 1048820 1077216 1092000 1099200 1101261 1116375 1120000 1122100 1143168 1145000 1164800 1166984 1172480 1176000 1190800 1194375 1202250 1223040 1231104 1248000 1250340 1254400 1258584 1274000 1282400 1311025 1333696 1344000 1346520 1363466 1365000 1374000 1397760 1402625 1428960 1436288 1456000 1458730 1465600 1468348 1470000 1488500 1524224 1528800 1538880 1560000 1562925 1568000 1573230 1592500 1603000 1630720 1641472 1664000 1667120 1678112 1680000 1683150 1717500 1747200 1750476 1758720 1786200 1795360 1820000 1832000 1835435 1860625 1881600 1905280 1911000 1920000 1923600 1956864 1960000 2000544 2003750 2038400 2045199 2051840 2080000 2083900 2097640 2154432 2184000 2188095 2198400 2202522 2232750 2240000 2244200 2286336 2290000 2329600 2333968 2352000 2381600 2388750 2404500 2446080 2462208 2496000 2500680 2517168 2548000 2564800 2569609 2604875 2622050 2667392 2688000 2693040 2726932 2730000 2748000 2805250 2857920 2872576 2912000 2917460 2931200 2936696 2940000 2977000 3005625 3048448 3057600 3077760 3120000 3125850 3136000 3146460 3185000 3206000 3261440 3334240 3356224 3360000 3366300 3408665 3435000 3494400 3500952 3517440 3572400 3590720 3640000 3646825 3664000 3670870 3721250 3763200 3810560 3822000 3847200 3920000 3933075 4001088 4007500 4076800 4090398 4103680 4160000 4167800 4195280 4207875 4308864 4368000 4376190 4396800 4405044 4465500 4480000 4488400 4572672 4580000 4667936 4704000 4763200 4772131 4777500 4809000 4892160 4924416 4992000 5001360 5034336 5096000 5129600 5139218 5209750 5244100 5334784 5386080 5453864 5460000 5496000 5506305 5581875 5610500 5715840 5745152 5824000 5834920 5862400 5873392 5880000 5954000 6011250 6115200 6155520 6240000 6251700 6272000 6292920 6370000 6412000 6555125 6668480 6712448 6720000 6732600 6817330 6870000 6988800 7001904 7013125 7144800 7181440 7280000 7293650 7328000 7341740 7442500 7621120 7644000 7694400 7708827 7814625 7840000 7866150 8002176 8015000 8153600 8180796 8207360 8320000 8335600 8390560 8415750 8617728 8736000 8752380 8793600 8810088 8931000 8976800 9145344 9160000 9177175 9335872 9408000 9526400 9544262 9555000 9618000 9784320 10002720 10068672 10192000 10225995 10259200 10278436 10419500 10488200 10669568 10772160 10907728 10920000 10940475 10992000 11012610 11163750 11221000 11431680 11490304 11648000 11669840 11746784 11760000 11908000 12022500 12230400 12311040 12480000 12503400 12585840 12740000 12824000 12848045 13024375 13110250 13336960 13424896 13440000 13465200 13634660 13740000 14003808 14026250 14289600 14316393 14362880 14560000 14587300 14656000 14683480 14885000 15242240 15288000 15388800 15417654 15629250 15680000 15732300 16004352 16030000 16307200 16361592 16671200 16781120 16831500 17043325 17235456 17472000 17504760 17587200 17620176 17862000 17953600 18234125 18320000 18354350 18671744 18816000 19052800 19088524 19110000 19236000 19665375 20005440 20137344 20384000 20451990 20518400 20556872 20839000 20976400 21039375 21339136 21544320 21815456 21840000 21880950 21984000 22025220 22327500 22442000 22863360 23339680 23493568 23520000 23816000 23860655 24045000 24460800 24622080 24960000 25006800 25171680 25480000 25648000 25696090 26048750 26220500 26673920 26849792 26930400 27269320 27480000 27531525 28007616 28052500 28579200 28632786 28725760 29120000 29174600 29312000 29366960 29770000 30576000 30777600 30835308 31258500 31360000 31464600 32008704 32060000 32723184 32775625 33342400 33404917 33562240 33663000 34086650 34470912 34944000 35009520 35240352 35724000 35907200 36468250 36640000 36708700 37343488 38105600 38177048 38220000 38472000 38544135 39073125 39330750 40010880 40274688 40768000 40903980 41036800 41113744 41678000 41952800 42078750 43088640 43630912 43680000 43761900 43968000 44050440 44655000 44884000 45726720 45885875 46679360 46987136 47040000 47632000 47721310 48090000 48921600 50013600 50343360 50960000 51129975 51296000 51392180 52097500 52441000 53347840 53699584 53860800 54538640 54702375 54960000 55063050 56015232 56105000 57158400 57265572 57451520 58240000 58349200 58733920 59540000 61152000 61555200 61670616 62517000 62929200 64017408 64120000 64240225 65446368 65551250 66684800 66809834 67124480 67326000 68173300 70019040 70480704 71448000 71581965 71814400 72936500 73280000 73417400 74686976 76211200 76354096 76440000 76944000 77088270 78146250 78661500 80021760 80549376 81536000 81807960 82227488 83356000 83905600 84157500 85216625 86177280 87261824 87360000 87523800 87936000 88100880 89310000 89768000 91170625 91771750 93358720 93974272 94080000 95264000 95442620 96180000 98326875 100027200 100214751 100686720 101920000 102259950 102592000 102784360 104195000 104882000 106695680 107721600 109077280 109404750 109920000 110126100 112030464 112210000 114316800 114531144 116698400 117467840 119080000 119303275 122304000 123110400 123341232 125034000 125858400 128240000 128480450 130892736 131102500 133369600 133619668 134248960 134652000 136346600 137657625 140038080 140961408 142896000 143163930 143628800 145873000 146560000 146834800 149373952 152708192 152880000 153888000 154176540 156292500 157323000 160043520 161098752 163615920 164454976 166712000 167024585 167811200 168315000 170433250 172354560 174523648 174720000 175047600 176201760 178620000 179536000 182341250 183543500 186717440 187948544 190528000 190885240 192360000 192720675 196653750 200054400 200429502 201373440 203840000 204519900 205184000 205568720 208390000 209764000 215443200 218154560 218809500 219840000 220252200 224060928 224420000 228633600 229062288 229429375 233396800 234935680 238160000 238606550 244608000 246682464 250068000 251716800 255649875 256480000 256960900 261785472 262205000 266739200 267239336 268497920 269304000 272693200 273511875 275315250 280076160 281922816 285792000 286327860 287257600 291746000 293669600 305416384 305760000 307776000 308353080 312585000 314646000 320087040 321201125 327231840 328909952 333424000 334049170 335622400 336630000 340866500 349047296 350095200 352403520 357240000 357909825 359072000 364682500 367087000 373434880 375897088 381056000 381770480 384720000 385441350 393307500 400108800 400859004 402746880 407680000 409039800 411137440 416780000 419528000 426083125 430886400 436309120 437619000 439680000 440504400 448121856 448840000 458124576 458858750 466793600 469871360 476320000 477213100 493364928 500136000 501073755 503433600 511299750 512960000 513921800 523570944 524410000 533478400 534478672 538608000 545386400 547023750 550630500 560152320 563845632 571584000 572655720 583492000 587339200 596516375 610832768 611520000 615552000 616706160 625170000 629292000 642402250 654463680 657819904 666848000 668098340 671244800 673260000 681733000 688288125 698094592 700190400 704807040 714480000 715819650 718144000 729365000 734174000 746869760 763540960 769440000 770882700 786615000 800217600 801718008 805493760 818079600 822274880 833560000 835122925 839056000 852166250 861772800 872618240 875238000 881008800 897680000 916249152 917717500 933587200 939742720 952640000 954426200 963603375 986729856 1000272000 1002147510 1006867200 1022599500 1025920000 1027843600 1047141888 1048820000 1068957344 1077216000 1090772800 1094047500 1101261000 1120304640 1127691264 1143168000 1145311440 1166984000 1174678400 1193032750 1221665536 1223040000 1233412320 1250340000 1258584000 1278249375 1284804500 1308927360 1315639808 1333696000 1336196680 1342489600 1346520000 1363466000 1376576250 1400380800 1409614080 1428960000 1431639300 1436288000 1458730000 1468348000 1527081920 1538880000 1541765400 1573230000 1600435200 1603436016 1606005625 1636159200 1644549760 1667120000 1670245850 1678112000 1704332500 1745236480 1750476000 1762017600 1789549125 1795360000 1832498304 1835435000 1867174400 1879485440 1905280000 1908852400 1927206750 1973459712 2000544000 2004295020 2013734400 2045199000 2055687200 2094283776 2097640000 2137914688 2154432000 2181545600 2188095000 2202522000 2240609280 2290622880 2333968000 2349356800 2386065500 2443331072 2466824640 2500680000 2505368775 2517168000 2556498750 2569609000 2617854720 2631279616 2667392000 2672393360 2693040000 2726932000 2753152500 2800761600 2819228160 2857920000 2863278600 2917460000 2936696000 2982581875 3054163840 3077760000 3083530800 3146460000 3206872032 3212011250 3272318400 3289099520 3334240000 3340491700 3356224000 3408665000 3490472960 3500952000 3524035200 3579098250 3590720000 3664996608 3670870000 3734348800 3817704800 3854413500 3946919424 4001088000 4008590040 4027468800 4090398000 4111374400 4175614625 4195280000 4275829376 4308864000 4363091200 4376190000 4405044000 4581245760 4667936000 4698713600 4772131000 4818016875 4886662144 4933649280 5001360000 5010737550 5034336000 5112997500 5139218000 5235709440 5344786720 5386080000 5453864000 5506305000 5601523200 5638456320 5715840000 5726557200 5834920000 5873392000 5965163750 6108327680 6167061600 6292920000 6413744064 6424022500 6544636800 6578199040 6668480000 6680983400 6712448000 6817330000 7001904000 7048070400 7158196500 7181440000 7329993216 7341740000 7635409600 7708827000 7893838848 8002176000 8017180080 8180796000 8222748800 8351229250 8390560000 8551658752 8726182400 8752380000 8810088000 8947745625 9162491520 9335872000 9397427200 9544262000 9636033750 9867298560 10002720000 10021475100 10068672000 10225995000 10278436000 10471418880 10689573440 10772160000 10907728000 11012610000 11203046400 11453114400 11669840000 11746784000 11930327500 12216655360 12334123200 12526843875 12585840000 12827488128 12848045000 13089273600 13156398080 13336960000 13361966800 13634660000 14003808000 14096140800 14316393000 14659986432 14683480000 15270819200 15417654000 16034360160 16361592000 16445497600 16702458500 16781120000 17103317504 17452364800 17504760000 17620176000 17895491250 18324983040 18671744000 19088524000 19272067500 19734597120 20005440000 20042950200 20137344000 20451990000 20556872000 20878073125 21379146880 21544320000 21815456000 22025220000 22906228800 23339680000 23493568000 23860655000 24433310720 24668246400 25053687750 25171680000 25654976256 25696090000 26178547200 26723933600 27269320000 28007616000 28192281600 28632786000 29366960000 30541638400 30835308000 32068720320 32723184000 32890995200 33404917000 33562240000 34206635008 35009520000 35240352000 35790982500 36649966080 38177048000 38544135000 39469194240 40010880000 40085900400 40903980000 41113744000 41756146250 42758293760 43630912000 44050440000 45812457600 46679360000 46987136000 47721310000 49336492800 50107375500 50343360000 51309952512 51392180000 52357094400 53447867200 54538640000 56015232000 57265572000 58733920000 61083276800 61670616000 62634219375 64137440640 65446368000 65781990400 66809834000 70019040000 70480704000 71581965000 73299932160 76354096000 77088270000 80171800800 81807960000 82227488000 83512292500 85516587520 87261824000 88100880000 91624915200 93358720000 95442620000 98672985600 100214751000 100686720000 102619905024 102784360000 106895734400 109077280000 114531144000 117467840000 122166553600 123341232000 125268438750 128274881280 130892736000 133619668000 140038080000 140961408000 143163930000 152708192000 154176540000 160343601600 163615920000 164454976000 167024585000 171033175040 176201760000 183249830400 190885240000 197345971200 200429502000 205568720000 213791468800 218154560000 229062288000 234935680000 246682464000 250536877500 256549762560 261785472000 267239336000 280076160000 286327860000 305416384000 308353080000 320687203200 327231840000 328909952000 334049170000 352403520000 366499660800 381770480000 400859004000 411137440000 427582937600 436309120000 458124576000 493364928000 501073755000 513099525120 534478672000 572655720000 610832768000 616706160000 641374406400 654463680000 668098340000 704807040000 763540960000 801718008000 822274880000 855165875200 916249152000 986729856000 1002147510000 1068957344000 1145311440000 1233412320000 1282748812800 1308927360000 1336196680000 1527081920000 1603436016000 1644549760000 1832498304000 2004295020000 2137914688000 2290622880000 2466824640000 2565497625600 2672393360000 3054163840000 3206872032000 4008590040000 4275829376000 4581245760000 4933649280000 5344786720000 6413744064000 8017180080000 9162491520000 10689573440000 12827488128000 16034360160000 21379146880000 32068720320000 64137440640000
- Sum of all divisors σ(n): 268783944499224
- Sum of proper divisors (its aliquot sum) s(n): 204646503859224
- 64137440640000 is an abundant number, because the sum of its proper divisors (204646503859224) is greater than itself. Its abundance is 140509063219224
Bases of 64137440640000
- Binary: 11101001010101001010010101110110111100000000002
- Hexadecimal: 0x3A55295DBC00
- Base-36: MQGC06DXC
Squares and roots of 64137440640000
- 64137440640000 squared (641374406400002) is 4113611291849523609600000000
- 64137440640000 cubed (641374406400003) is 263836500047032536322998534144000000000000
-
The
square root of 64137440640000 is 8008585.4331461059 -
The
cube root of 64137440640000 is 40028.6129942005
Scales and comparisons
How big is 64137440640000?- 64,137,440,640,000 seconds is equal to 2,039,372 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 64,137,440,640,000 would take you about five million, ninety-eight thousand, four hundred thirty 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 64137440640000 cubic inches would be around 3335.7 feet tall.
Recreational maths with 64137440640000
- 64137440640000 backwards is 00004604473146
- 64137440640000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 64137440640000's digits is 39
- 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 64137440640000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
APA style:
Numbermatics. (2024). Number 64137440640000 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/64137440640000/
Chicago style:
Numbermatics. 2024. "Number 64137440640000 - Facts about the integer". https://numbermatics.com/n/64137440640000/
The information we have on file for 64137440640000 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 64137440640000, math, Factors of 64137440640000, curriculum, school, college, exams, university, Prime factorization of 64137440640000, STEM, science, technology, engineering, physics, economics, calculator, sixty-four trillion, one hundred thirty-seven billion, four hundred forty million, six hundred forty thousand.