1338457120000
1,338,457,120,000 is an even composite number composed of seven prime numbers multiplied together.
1338457120000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 1338457120000:
28 × 54 × 7 × 11 × 13 × 61 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 11 × 13 × 61 × 137)See below for interesting mathematical facts about the number 1338457120000 from the Numbermatics database.
Names of 1338457120000
- Cardinal: 1338457120000 can be written as One trillion, three hundred thirty-eight billion, four hundred fifty-seven million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 1.33845712 × 1012
Factors of 1338457120000
Divisors of 1338457120000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 50 52 55 56 61 64 65 70 77 80 88 91 100 104 110 112 122 125 128 130 137 140 143 154 160 175 176 182 200 208 220 224 244 250 256 260 274 275 280 286 305 308 320 325 350 352 364 385 400 416 427 440 448 455 488 500 520 548 550 560 572 610 616 625 640 650 671 685 700 704 715 728 770 793 800 832 854 875 880 896 910 959 976 1000 1001 1040 1096 1100 1120 1144 1220 1232 1250 1280 1300 1342 1370 1375 1400 1408 1430 1456 1507 1525 1540 1586 1600 1625 1664 1708 1750 1760 1781 1792 1820 1918 1925 1952 2000 2002 2080 2135 2192 2200 2240 2275 2288 2440 2464 2500 2600 2684 2740 2750 2800 2816 2860 2912 3014 3050 3080 3172 3200 3250 3328 3355 3416 3425 3500 3520 3562 3575 3640 3836 3850 3904 3965 4000 4004 4160 4270 4375 4384 4400 4480 4550 4576 4697 4795 4880 4928 5000 5005 5200 5368 5480 5500 5551 5600 5720 5824 6028 6100 6160 6344 6400 6500 6710 6832 6850 6875 7000 7040 7124 7150 7280 7535 7625 7672 7700 7808 7930 8000 8008 8125 8320 8357 8540 8723 8750 8768 8800 8905 8960 9100 9152 9394 9590 9625 9760 9856 10000 10010 10400 10549 10675 10736 10960 11000 11102 11200 11375 11440 11648 12056 12200 12320 12467 12688 13000 13420 13664 13700 13750 14000 14080 14248 14300 14560 15070 15250 15344 15400 15616 15860 16000 16016 16250 16640 16714 16775 17080 17125 17446 17500 17536 17600 17810 17875 18200 18304 18788 19180 19250 19520 19591 19712 19825 20000 20020 20800 21098 21350 21472 21920 22000 22204 22400 22750 22880 23296 23485 23975 24112 24400 24640 24934 25025 25376 26000 26840 27328 27400 27500 27755 28000 28496 28600 29120 30140 30500 30688 30800 31720 32000 32032 32500 33428 33550 34160 34250 34892 35000 35072 35200 35620 35750 36400 36608 37576 37675 38125 38360 38500 39040 39182 39650 40000 40040 41600 41785 42196 42700 42944 43615 43840 44000 44408 44525 44800 45500 45760 46970 47950 48125 48224 48800 49280 49868 50050 50752 52000 52745 53375 53680 54656 54800 55000 55510 56000 56875 56992 57200 58240 58499 60280 61000 61061 61376 61600 62335 63440 64064 65000 66856 67100 68320 68500 69784 70000 70400 71240 71500 72800 75152 75350 76250 76720 77000 78080 78364 79300 80000 80080 83200 83570 83875 84392 85400 85625 85888 87230 87680 88000 88816 89050 89375 91000 91520 91927 93940 95900 96250 96448 97600 97955 98560 99125 99736 100100 101504 104000 105490 106750 107360 108641 109312 109600 110000 111020 112000 113750 113984 114400 116480 116998 117425 119875 120560 122000 122122 122752 123200 124670 125125 126880 128128 130000 133712 134200 136640 137000 137137 138775 139568 140000 142480 143000 145600 150304 150700 152500 153440 154000 156728 158600 160000 160160 167140 167750 168784 170800 171250 171776 174460 175360 176000 177632 178100 178750 182000 183040 183854 187880 188375 191800 192500 192896 195200 195910 198250 199472 200200 203008 208000 208925 210980 213500 214720 217282 218075 219200 220000 222040 222625 224000 227500 227968 228800 233996 234850 239750 241120 244000 244244 245504 246400 249340 250250 253760 256256 260000 263725 266875 267424 268400 273280 274000 274274 277550 279136 280000 284960 286000 291200 292495 300608 301400 305000 305305 306880 308000 311675 313456 317200 320320 334280 335500 337568 341600 342500 348920 352000 355264 356200 357500 364000 367708 375760 376750 383600 385000 385792 390400 391820 396500 398944 400400 416000 417850 419375 421960 427000 429440 434564 436150 438400 440000 444080 445250 455000 455936 457600 459635 467992 469700 479500 482240 488000 488488 489775 492800 495625 498680 500500 507520 520000 527450 533750 534848 536800 543205 546560 548000 548548 555100 558272 560000 569920 572000 582400 584990 587125 599375 601216 602800 610000 610610 613760 616000 623350 625625 626912 634400 640640 643489 668560 671000 675136 683200 685000 685685 693875 697840 710528 712400 715000 728000 735416 751520 753500 760487 767200 770000 783640 793000 797888 800800 835700 838750 843920 854000 858880 869128 872300 876800 880000 888160 890500 910000 915200 919270 935984 939400 941875 959000 964480 976000 976976 979550 991250 997360 1001000 1015040 1040000 1044625 1054900 1067500 1069696 1073600 1086410 1090375 1096000 1097096 1110200 1113125 1116544 1120000 1139840 1144000 1169980 1174250 1195051 1198750 1202432 1205600 1220000 1221220 1227520 1232000 1246700 1251250 1253824 1268800 1281280 1286978 1318625 1337120 1342000 1350272 1366400 1370000 1371370 1387750 1395680 1421056 1424800 1430000 1456000 1462475 1470832 1503040 1507000 1520974 1526525 1534400 1540000 1558375 1567280 1586000 1595776 1601600 1671400 1677500 1687840 1708000 1738256 1744600 1760000 1776320 1781000 1820000 1838540 1871968 1878800 1883750 1918000 1928960 1952000 1953952 1959100 1982500 1994720 2002000 2080000 2089250 2109800 2135000 2139392 2147200 2172820 2180750 2192000 2194192 2220400 2226250 2233088 2279680 2288000 2298175 2339960 2348500 2390102 2397500 2411200 2440000 2442440 2448875 2464000 2493400 2502500 2507648 2537600 2573956 2637250 2674240 2684000 2700544 2716025 2732800 2740000 2742740 2775500 2791360 2849600 2860000 2912000 2924950 2935625 2941664 3006080 3014000 3041948 3053050 3068800 3080000 3116750 3134560 3172000 3191552 3203200 3217445 3342800 3355000 3375680 3416000 3428425 3469375 3476512 3489200 3552640 3562000 3640000 3677080 3743936 3757600 3767500 3802435 3836000 3907904 3918200 3965000 3989440 4004000 4178500 4219600 4270000 4294400 4345640 4361500 4384000 4388384 4440800 4452500 4576000 4596350 4679920 4697000 4780204 4795000 4822400 4880000 4884880 4897750 4986800 5005000 5015296 5075200 5147912 5223125 5274500 5348480 5368000 5432050 5451875 5480000 5485480 5551000 5582720 5699200 5720000 5849900 5871250 5883328 5975255 6012160 6028000 6083896 6106100 6137600 6160000 6233500 6269120 6344000 6406400 6434890 6593125 6685600 6710000 6751360 6832000 6856850 6938750 6953024 6978400 7105280 7124000 7280000 7312375 7354160 7487872 7515200 7535000 7604870 7632625 7672000 7791875 7815808 7836400 7930000 7978880 8008000 8357000 8365357 8439200 8540000 8691280 8723000 8776768 8881600 8905000 9192700 9359840 9394000 9560408 9590000 9644800 9760000 9769760 9795500 9973600 10010000 10295824 10446250 10549000 10696960 10736000 10864100 10903750 10960000 10970960 11102000 11165440 11398400 11440000 11490875 11699800 11742500 11766656 11950510 12056000 12167792 12212200 12244375 12320000 12467000 12538240 12688000 12869780 13186250 13371200 13420000 13502720 13580125 13664000 13713700 13877500 13906048 13956800 14248000 14560000 14624750 14708320 14975744 15030400 15070000 15209740 15265250 15344000 15583750 15631616 15672800 15860000 15957760 16016000 16087225 16714000 16730714 16878400 17080000 17142125 17382560 17446000 17553536 17763200 17810000 18385400 18719680 18788000 19012175 19120816 19180000 19539520 19591000 19947200 20020000 20591648 20892500 21098000 21472000 21728200 21807500 21920000 21941920 22204000 22880000 22981750 23399600 23485000 23533312 23901020 24112000 24335584 24424400 24488750 24934000 25076480 25376000 25739560 26372500 26742400 26840000 27160250 27427400 27755000 27812096 27913600 28496000 29249500 29416640 29876275 30060800 30140000 30419480 30530500 30688000 31167500 31345600 31720000 32032000 32174450 33428000 33461428 33756800 34160000 34284250 34765120 34892000 35107072 35526400 35620000 36561875 36770800 37439360 37576000 38024350 38163125 38241632 38360000 39079040 39182000 39894400 40040000 41183296 41785000 41826785 42196000 43456400 43615000 43883840 44408000 45963500 46799200 46970000 47802040 48224000 48671168 48848800 48977500 49868000 51479120 52745000 53484800 53680000 54320500 54854800 55510000 55827200 56992000 57454375 58499000 58833280 59752550 60280000 60838960 61061000 62335000 62691200 63440000 64348900 66856000 66922856 67513600 67900625 68320000 68568500 69530240 69784000 71240000 73123750 73541600 74878720 75152000 76048700 76326250 76483264 76720000 78158080 78364000 79788800 80080000 80436125 82366592 83570000 83653570 84392000 85710625 86912800 87230000 87767680 88816000 91927000 93598400 93940000 95060875 95604080 97342336 97697600 97955000 99736000 102958240 105490000 107360000 108641000 109709600 111020000 114908750 116998000 117666560 119505100 120560000 121677920 122122000 124670000 125382400 126880000 128697800 133712000 133845712 135801250 137137000 139060480 139568000 142480000 146247500 147083200 149381375 150304000 152097400 152652500 152966528 153440000 156728000 160160000 160872250 164733184 167140000 167307140 168784000 171421250 173825600 174460000 175535360 177632000 183854000 187196800 187880000 190121750 191208160 194684672 195395200 195910000 199472000 205916480 209133925 210980000 217282000 219419200 222040000 229817500 233996000 239010200 241120000 243355840 244244000 249340000 257395600 267424000 267691424 271602500 274274000 279136000 284960000 292495000 294166400 298762750 304194800 305305000 305933056 313456000 321744500 334280000 334614280 337568000 342842500 347651200 348920000 367708000 374393600 375760000 380243500 382416320 390790400 391820000 398944000 402180625 411832960 418267850 421960000 434564000 438838400 444080000 459635000 467992000 475304375 478020400 486711680 488488000 498680000 514791200 535382848 543205000 548548000 584990000 588332800 597525500 608389600 610610000 626912000 643489000 668560000 669228560 685685000 695302400 697840000 735416000 746906875 751520000 760487000 764832640 783640000 804361250 823665920 836535700 843920000 869128000 877676800 888160000 919270000 935984000 950608750 956040800 973423360 976976000 997360000 1029582400 1045669625 1070765696 1086410000 1097096000 1169980000 1195051000 1216779200 1221220000 1286978000 1337120000 1338457120 1371370000 1395680000 1470832000 1493813750 1520974000 1529665280 1567280000 1608722500 1673071400 1687840000 1738256000 1838540000 1871968000 1901217500 1912081600 1953952000 1994720000 2059164800 2091339250 2141531392 2172820000 2194192000 2339960000 2390102000 2433558400 2442440000 2573956000 2676914240 2742740000 2941664000 2987627500 3041948000 3134560000 3217445000 3346142800 3476512000 3677080000 3802435000 3824163200 4118329600 4182678500 4345640000 4388384000 4679920000 4780204000 4867116800 4884880000 5147912000 5228348125 5353828480 5485480000 5975255000 6083896000 6434890000 6692285600 7354160000 7604870000 7648326400 8365357000 8691280000 9359840000 9560408000 9769760000 10295824000 10456696250 10707656960 10970960000 11950510000 12167792000 12869780000 13384571200 14708320000 15209740000 16730714000 17382560000 19120816000 20591648000 20913392500 21941920000 23901020000 24335584000 25739560000 26769142400 30419480000 33461428000 38241632000 41826785000 47802040000 51479120000 53538284800 60838960000 66922856000 83653570000 95604080000 102958240000 121677920000 133845712000 167307140000 191208160000 267691424000 334614280000 669228560000 1338457120000
- Sum of all divisors σ(n): 4589252769024
- Sum of proper divisors (its aliquot sum) s(n): 3250795649024
- 1338457120000 is an abundant number, because the sum of its proper divisors (3250795649024) is greater than itself. Its abundance is 1912338529024
Bases of 1338457120000
- Binary: 100110111101000100100001011011101000000002
- Hexadecimal: 0x137A242DD00
- Base-36: H2VMT7GG
Squares and roots of 1338457120000
- 1338457120000 squared (13384571200002) is 1791467462078694400000000
- 1338457120000 cubed (13384571200003) is 2397802379867558519984128000000000000
-
The
square root of 1338457120000 is 1156917.0756800161 -
The
cube root of 1338457120000 is 11020.5047841739
Scales and comparisons
How big is 1338457120000?- 1,338,457,120,000 seconds is equal to 42,558 years, 41 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
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To count from 1 to 1,338,457,120,000 would take you about one hundred six thousand, three hundred ninety-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 1338457120000 cubic inches would be around 918.4 feet tall.
Recreational maths with 1338457120000
- 1338457120000 backwards is 0000217548331
- The number of decimal digits it has is: 13
- The sum of 1338457120000's digits is 34
- More coming soon!
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The information we have on file for 1338457120000 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 1338457120000, math, Factors of 1338457120000, curriculum, school, college, exams, university, Prime factorization of 1338457120000, STEM, science, technology, engineering, physics, economics, calculator, one trillion, three hundred thirty-eight billion, four hundred fifty-seven million, one hundred twenty thousand.