4138343456000

Names of 4138343456000

• Cardinal: 4138343456000 can be written as Four trillion, one hundred thirty-eight billion, three hundred forty-three million, four hundred fifty-six thousand.

Scientific notation

• Scientific notation: 4.138343456 × 10¹²

Factors of 4138343456000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 332

Divisors of 4138343456000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 53 61 64 65 68 80 85 100 104 106 122 125 128 130 136 160 170 181 200 208 212 221 244 250 256 260 265 272 305 320 325 340 362 400 416 424 425 442 488 500 520 530 544 610 640 650 680 689 724 793 800 832 848 850 884 901 905 976 1000 1037 1040 1060 1088 1105 1220 1280 1300 1325 1360 1378 1448 1525 1586 1600 1625 1664 1696 1700 1768 1802 1810 1952 2000 2074 2080 2120 2125 2176 2210 2353 2440 2600 2650 2720 2756 2896 3050 3077 3172 3200 3233 3250 3328 3392 3400 3445 3536 3604 3620 3904 3965 4000 4148 4160 4240 4250 4352 4420 4505 4525 4706 4880 5185 5200 5300 5440 5512 5525 5792 6100 6154 6344 6400 6466 6500 6625 6784 6800 6890 7072 7208 7240 7625 7808 7930 8000 8296 8320 8480 8500 8840 9010 9050 9412 9593 9760 10370 10400 10600 10880 11024 11041 11050 11584 11713 11765 12200 12308 12688 12932 13000 13250 13481 13568 13600 13780 14144 14416 14480 15250 15385 15616 15860 16000 16165 16592 16640 16960 17000 17225 17680 18020 18100 18824 19186 19520 19825 20740 20800 21200 21760 22048 22082 22100 22525 22625 23168 23426 23530 24400 24616 25376 25864 25925 26000 26500 26962 27200 27560 27625 28288 28832 28960 30500 30770 31720 32000 32330 33184 33920 34000 34450 35360 36040 36200 37648 38372 39040 39650 40001 41480 41600 42029 42400 44096 44164 44200 45050 45250 46336 46852 47060 47965 48800 49232 50752 51728 51850 52000 53000 53924 54400 54961 55120 55205 55250 56576 57664 57920 58565 58825 61000 61540 63440 64660 66368 67405 67840 68000 68900 70720 72080 72400 75296 76744 76925 78080 79300 80002 80825 82960 83200 84058 84800 86125 88192 88328 88400 90100 90500 93704 94120 95930 97600 98464 99125 101504 103456 103700 104000 106000 107848 108800 109922 110240 110410 110500 112625 115328 115840 117130 117650 122000 123080 124709 126880 129320 129625 132736 134810 136000 137800 141440 143533 144160 144800 150592 153488 153850 158600 160004 161650 163081 165920 168116 169600 172250 176384 176656 176800 180200 181000 187408 187697 188240 191860 195200 196928 198250 200005 203008 206912 207400 208000 210145 212000 215696 219844 220480 220820 221000 225250 230656 231680 234260 235300 239825 244000 246160 249418 253760 258640 259250 265472 269620 272000 274805 275600 276025 282880 287066 288320 289600 292825 294125 301184 306976 307700 317200 320008 323300 326162 331840 336232 337025 339200 344500 353312 353600 360400 362000 374816 375394 376480 383720 384625 390400 393856 396500 400010 404125 413824 414800 416000 420290 424000 431392 439688 440960 441640 442000 450500 468520 470600 479650 488000 492320 498836 507520 517280 518500 539240 544000 549610 551200 552050 574132 576640 579200 585173 585650 588250 602368 613952 615400 623545 634400 640016 646600 652324 663680 672464 674050 689000 706624 707200 714493 717665 720800 724000 749632 750788 752960 767440 769250 787712 793000 800020 808250 815405 827648 829600 840580 848000 862784 879376 881920 883280 884000 901000 937040 938485 941200 959300 976000 984640 997672 1000025 1015040 1034560 1037000 1050725 1078480 1099220 1102400 1104100 1148264 1153280 1158400 1170346 1171300 1176500 1199125 1227904 1230800 1247090 1268800 1280032 1293200 1304648 1327360 1344928 1348100 1374025 1378000 1380125 1413248 1414400 1428986 1435330 1441600 1448000 1464125 1499264 1501576 1505920 1534880 1538500 1586000 1600040 1616500 1630810 1659200 1681160 1685125 1696000 1725568 1758752 1766560 1768000 1802000 1874080 1876970 1882400 1918600 1952000 1969280 1995344 2000050 2069120 2074000 2101450 2120053 2156960 2198440 2204800 2208200 2296528 2340692 2342600 2353000 2398250 2440061 2455808 2461600 2494180 2537600 2560064 2586400 2609296 2689856 2696200 2748050 2756000 2760250 2826496 2857972 2870660 2883200 2896000 2925865 2928250 2998528 3003152 3011840 3069760 3077000 3117725 3172000 3200080 3233000 3261620 3318400 3362320 3370250 3451136 3517504 3533120 3536000 3572465 3588325 3604000 3748160 3753940 3764800 3837200 3938560 3990688 4000100 4077025 4138240 4148000 4202900 4240106 4313920 4396880 4409600 4416400 4593056 4681384 4685200 4692425 4706000 4796500 4880122 4923200 4988360 5000125 5075200 5120128 5172800 5218592 5253625 5379712 5392400 5496100 5512000 5520500 5715944 5741320 5766400 5792000 5851730 5856500 6006304 6139520 6154000 6235450 6344000 6400160 6466000 6523240 6636800 6724640 6740500 6870125 7035008 7066240 7072000 7144930 7176650 7208000 7496320 7507880 7529600 7607249 7674400 7981376 8000200 8154050 8296000 8405800 8480212 8627840 8793760 8832800 9186112 9362768 9370400 9384850 9412000 9593000 9760244 9846400 9947941 9976720 10000250 10240256 10345600 10437184 10507250 10600265 10759424 10784800 10992200 11024000 11041000 11431888 11482640 11703460 11713000 12012608 12200305 12279040 12308000 12470900 12688000 12800320 12932000 13046480 13449280 13481000 13740250 14070016 14132480 14289860 14353300 14416000 14629325 14992640 15015760 15059200 15214498 15348800 15588625 15962752 16000400 16308100 16592000 16811600 16960424 17255680 17587520 17665600 17862325 17941625 18372224 18725536 18740800 18769700 18824000 19186000 19520488 19692800 19895882 19953440 20000500 20385125 20691200 20874368 21014500 21200530 21569600 21984400 22048000 22082000 22863776 22965280 23406920 23426000 23462125 24025216 24400610 24616000 24941800 25376000 25600640 25864000 26092960 26898560 26962000 27480500 28579720 28706600 28832000 29258650 30031520 30428996 30697600 31177250 31925504 32000800 32616200 33184000 33623200 33920848 35175040 35331200 35724650 35883250 36744448 37451072 37481600 37539400 37648000 38036245 38372000 39040976 39791764 39906880 40001000 40770250 41748736 42029000 42401060 43139200 43968800 44164000 45727552 45930560 46813840 46852000 46924250 48050432 48801220 49232000 49739705 49883600 51201280 51728000 52185920 53001325 53797120 53924000 54961000 57159440 57413200 58517300 60063040 60857992 61001525 61395200 62354500 64001600 65232400 67246400 67841696 70350080 70662400 71449300 71766500 73146625 74902144 74963200 75078800 75296000 76072490 76744000 78081952 79583528 79813760 80002000 81540500 84058000 84802120 86278400 87937600 88328000 89311625 91455104 91861120 93627680 93704000 93848500 97602440 98464000 99479410 99767200 103456000 104371840 106002650 107848000 109922000 114318880 114826400 117034600 120126080 121715984 122003050 124709000 128003200 129323233 130464800 134492800 135683392 142898600 143533000 146293250 149804288 150157600 152144980 153488000 156163904 159167056 159627520 160004000 163081000 168116000 169604240 175875200 176656000 178623250 182910208 183722240 187255360 187408000 187697000 190181225 195204880 198958820 199534400 208743680 212005300 215696000 219844000 228637760 229652800 234069200 240252160 243431968 244006100 248698525 249418000 256006400 258646466 260929600 265006625 268985600 271366784 285797200 287066000 292586500 300315200 304289960 305007625 306976000 312327808 318334112 320008000 326162000 336232000 339208480 351750400 353312000 357246500 374510720 374816000 375394000 380362450 390409760 397917640 399068800 424010600 431392000 439688000 457275520 459305600 468138400 486863936 488012200 497397050 498836000 517292932 521859200 530013250 542733568 571594400 574132000 585173000 600630400 608579920 610015250 624655616 636668224 640016000 646616165 652324000 672464000 678416960 714493000 749021440 750788000 760724900 780819520 795835280 798137600 848021200 879376000 914551040 918611200 936276800 950906125 973727872 976024400 994794100 997672000 1034585864 1043718400 1060026500 1143188800 1148264000 1170346000 1201260800 1217159840 1220030500 1243492625 1273336448 1280032000 1293232330 1304648000 1344928000 1356833920 1428986000 1501576000 1521449800 1561639040 1591670560 1696042400 1758752000 1872553600 1901812250 1947455744 1952048800 1989588200 1995344000 2069171728 2120053000 2286377600 2296528000 2340692000 2434319680 2440061000 2486985250 2546672896 2586464660 2609296000 2713667840 2857972000 3003152000 3042899600 3123278080 3183341120 3233080825 3392084800 3745107200 3803624500 3904097600 3979176400 3990688000 4138343456 4240106000 4572755200 4593056000 4681384000 4868639360 4880122000 4973970500 5172929320 5218592000 5715944000 6006304000 6085799200 6366682240 6466161650 6784169600 7607249000 7808195200 7958352800 8276686912 8480212000 9362768000 9737278720 9760244000 9947941000 10345858640 11431888000 12171598400 12733364480 12932323300 13568339200 15214498000 15616390400 15916705600 16165404125 16553373824 16960424000 18725536000 19520488000 19895882000 20691717280 22863776000 24343196800 25864646600 30428996000 31833411200 32330808250 33106747648 33920848000 39040976000 39791764000 41383434560 48686393600 51729293200 60857992000 63666822400 64661616500 67841696000 78081952000 79583528000 82766869120 103458586400 121715984000 129323233000 159167056000 165533738240 206917172800 243431968000 258646466000 318334112000 413834345600 517292932000 827668691200 1034585864000 2069171728000 4138343456000
• Sum of all divisors σ(n): 12240604801152
• Sum of proper divisors (its aliquot sum) s(n): 8102261345152
• 4138343456000 is an abundant number, because the sum of its proper divisors (8102261345152) is greater than itself. Its abundance is 3963917889152

Bases of 4138343456000

• Binary: 111100001110001000011111011101110100000000₂
• Hexadecimal: 0x3C3887DDD00
• Base-36: 1GT4MUEWW

Squares and roots of 4138343456000

• 4138343456000 squared (4138343456000²) is 17125886559818023936000000
• 4138343456000 cubed (4138343456000³) is 70872800573021271906396962816000000000
• The square root of 4138343456000 is 2034291.8807290167
• The cube root of 4138343456000 is 16054.9458022649

Scales and comparisons

• 4,138,343,456,000 seconds is equal to 131,586 years, 27 weeks, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 4,138,343,456,000 would take you about three hundred twenty-eight thousand, nine hundred sixty-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 4138343456000 cubic inches would be around 1337.9 feet tall.

Recreational maths with 4138343456000

• 4138343456000 backwards is 0006543438314
• The number of decimal digits it has is: 13
• The sum of 4138343456000's digits is 41
• More coming soon!