2005138022400
2,005,138,022,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 2005138022400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
2005138022400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 2005138022400:
213 × 35 × 52 × 43 × 937
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 43 × 937)See below for interesting mathematical facts about the number 2005138022400 from the Numbermatics database.
Names of 2005138022400
- Cardinal: 2005138022400 can be written as Two trillion, five billion, one hundred thirty-eight million, twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.0051380224 × 1012
Factors of 2005138022400
Divisors of 2005138022400
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 43 45 48 50 54 60 64 72 75 80 81 86 90 96 100 108 120 128 129 135 144 150 160 162 172 180 192 200 215 216 225 240 243 256 258 270 288 300 320 324 344 360 384 387 400 405 430 432 450 480 486 512 516 540 576 600 640 645 648 675 688 720 768 774 800 810 860 864 900 937 960 972 1024 1032 1075 1080 1152 1161 1200 1215 1280 1290 1296 1350 1376 1440 1536 1548 1600 1620 1720 1728 1800 1874 1920 1935 1944 2025 2048 2064 2150 2160 2304 2322 2400 2430 2560 2580 2592 2700 2752 2811 2880 3072 3096 3200 3225 3240 3440 3456 3483 3600 3748 3840 3870 3888 4050 4096 4128 4300 4320 4608 4644 4685 4800 4860 5120 5160 5184 5400 5504 5622 5760 5805 6075 6144 6192 6400 6450 6480 6880 6912 6966 7200 7496 7680 7740 7776 8100 8192 8256 8433 8600 8640 9216 9288 9370 9600 9675 9720 10240 10320 10368 10449 10800 11008 11244 11520 11610 12150 12288 12384 12800 12900 12960 13760 13824 13932 14055 14400 14992 15360 15480 15552 16200 16512 16866 17200 17280 17415 18432 18576 18740 19200 19350 19440 20480 20640 20736 20898 21600 22016 22488 23040 23220 23425 24300 24576 24768 25299 25600 25800 25920 27520 27648 27864 28110 28800 29025 29984 30720 30960 31104 32400 33024 33732 34400 34560 34830 36864 37152 37480 38400 38700 38880 40291 40960 41280 41472 41796 42165 43200 44032 44976 46080 46440 46850 48600 49536 50598 51200 51600 51840 52245 55040 55296 55728 56220 57600 58050 59968 61440 61920 62208 64800 66048 67464 68800 69120 69660 70275 73728 74304 74960 75897 76800 77400 77760 80582 82560 82944 83592 84330 86400 87075 88064 89952 92160 92880 93700 97200 99072 101196 102400 103200 103680 104490 110080 110592 111456 112440 115200 116100 119936 120873 122880 123840 124416 126495 129600 132096 134928 137600 138240 139320 140550 148608 149920 151794 153600 154800 155520 161164 165120 165888 167184 168660 172800 174150 176128 179904 184320 185760 187400 194400 198144 201455 202392 204800 206400 207360 208980 210825 220160 221184 222912 224880 227691 230400 232200 239872 241746 247680 248832 252990 259200 261225 264192 269856 275200 276480 278640 281100 297216 299840 303588 307200 309600 311040 322328 330240 331776 334368 337320 345600 348300 352256 359808 362619 368640 371520 374800 379485 388800 396288 402910 404784 412800 414720 417960 421650 440320 445824 449760 455382 460800 464400 479744 483492 495360 497664 505980 518400 522450 528384 539712 550400 552960 557280 562200 594432 599680 604365 607176 614400 619200 622080 632475 644656 660480 663552 668736 674640 691200 696600 719616 725238 743040 749600 758970 777600 792576 805820 809568 825600 829440 835920 843300 880640 891648 899520 910764 921600 928800 959488 966984 990720 995328 1007275 1011960 1036800 1044900 1056768 1079424 1087857 1100800 1105920 1114560 1124400 1138455 1188864 1199360 1208730 1214352 1238400 1244160 1264950 1289312 1320960 1337472 1349280 1382400 1393200 1439232 1450476 1486080 1499200 1517940 1555200 1585152 1611640 1619136 1651200 1658880 1671840 1686600 1761280 1783296 1799040 1813095 1821528 1843200 1857600 1897425 1918976 1933968 1981440 1990656 2014550 2023920 2073600 2089800 2158848 2175714 2201600 2229120 2248800 2276910 2377728 2398720 2417460 2428704 2476800 2488320 2529900 2578624 2641920 2674944 2698560 2764800 2786400 2878464 2900952 2972160 2998400 3021825 3035880 3110400 3170304 3223280 3238272 3263571 3302400 3317760 3343680 3373200 3566592 3598080 3626190 3643056 3715200 3794850 3837952 3867936 3962880 4029100 4047840 4147200 4179600 4317696 4351428 4403200 4458240 4497600 4553820 4755456 4797440 4834920 4857408 4953600 4976640 5059800 5157248 5283840 5349888 5397120 5439285 5529600 5572800 5692275 5756928 5801904 5944320 5996800 6043650 6071760 6220800 6446560 6476544 6527142 6604800 6687360 6746400 7133184 7196160 7252380 7286112 7430400 7589700 7675904 7735872 7925760 8058200 8095680 8294400 8359200 8635392 8702856 8806400 8916480 8995200 9065475 9107640 9510912 9594880 9669840 9714816 9790713 9907200 9953280 10119600 10314496 10699776 10794240 10878570 11145600 11384550 11513856 11603808 11888640 11993600 12087300 12143520 12441600 12893120 12953088 13054284 13209600 13374720 13492800 14266368 14392320 14504760 14572224 14860800 15179400 15471744 15851520 16116400 16191360 16317855 16588800 16718400 17270784 17405712 17832960 17990400 18130950 18215280 19189760 19339680 19429632 19581426 19814400 20239200 20628992 21399552 21588480 21757140 22291200 22769100 23027712 23207616 23777280 23987200 24174600 24287040 24883200 25786240 25906176 26108568 26419200 26749440 26985600 27196425 28532736 28784640 29009520 29144448 29721600 30358800 30943488 32232800 32382720 32635710 33436800 34541568 34811424 35665920 35980800 36261900 36430560 38379520 38679360 38859264 39162852 39628800 40478400 41257984 42799104 43176960 43514280 44582400 45538200 46415232 47554560 47974400 48349200 48574080 48953565 49766400 51572480 51812352 52217136 53498880 53971200 54392850 57569280 58019040 58288896 59443200 60717600 61886976 64465600 64765440 65271420 66873600 69083136 69622848 71331840 71961600 72523800 72861120 77358720 77718528 78325704 79257600 80956800 81589275 82515968 85598208 86353920 87028560 89164800 91076400 92830464 95948800 96698400 97148160 97907130 103144960 103624704 104434272 106997760 107942400 108785700 115138560 116038080 116577792 118886400 121435200 123773952 128931200 129530880 130542840 133747200 139245696 142663680 143923200 145047600 145722240 154717440 155437056 156651408 161913600 163178550 165031936 172707840 174057120 178329600 182152800 185660928 191897600 193396800 194296320 195814260 206289920 207249408 208868544 213995520 215884800 217571400 232076160 233155584 237772800 242870400 244767825 247547904 257862400 259061760 261085680 267494400 278491392 287846400 290095200 291444480 309434880 310874112 313302816 323827200 326357100 330063872 345415680 348114240 356659200 364305600 371321856 386793600 388592640 391628520 412579840 417737088 427991040 431769600 435142800 464152320 466311168 485740800 489535650 495095808 515724800 518123520 522171360 534988800 556982784 575692800 580190400 582888960 618869760 621748224 626605632 647654400 652714200 696228480 713318400 728611200 742643712 773587200 777185280 783257040 825159680 835474176 863539200 870285600 928304640 932622336 971481600 979071300 990191616 1031449600 1036247040 1044342720 1069977600 1113965568 1160380800 1165777920 1237739520 1253211264 1295308800 1305428400 1392456960 1457222400 1485287424 1547174400 1554370560 1566514080 1650319360 1670948352 1727078400 1740571200 1856609280 1865244672 1942963200 1958142600 2062899200 2088685440 2139955200 2227931136 2320761600 2331555840 2475479040 2506422528 2590617600 2610856800 2784913920 2914444800 2970574848 3094348800 3108741120 3133028160 3341896704 3481142400 3713218560 3885926400 3916285200 4125798400 4177370880 4455862272 4641523200 4663111680 4950958080 5012845056 5181235200 5221713600 5569827840 5828889600 6188697600 6266056320 6683793408 6962284800 7426437120 7771852800 7832570400 8251596800 8354741760 8911724544 9283046400 9326223360 10025690112 10443427200 11139655680 11657779200 12377395200 12532112640 13367586816 13924569600 14852874240 15543705600 15665140800 16709483520 18566092800 20051380224 20886854400 22279311360 23315558400 24754790400 25064225280 26735173632 27849139200 31330281600 33418967040 37132185600 40102760448 41773708800 44558622720 46631116800 50128450560 55698278400 62660563200 66837934080 74264371200 80205520896 83547417600 100256901120 111396556800 125321126400 133675868160 167094835200 200513802240 222793113600 250642252800 334189670400 401027604480 501284505600 668379340800 1002569011200 2005138022400
- Sum of all divisors σ(n): 7629780141984
- Sum of proper divisors (its aliquot sum) s(n): 5624642119584
- 2005138022400 is an abundant number, because the sum of its proper divisors (5624642119584) is greater than itself. Its abundance is 3619504097184
Bases of 2005138022400
- Binary: 111010010110110111000101000100000000000002
- Hexadecimal: 0x1D2DB8A2000
- Base-36: PL5BEO00
Squares and roots of 2005138022400
- 2005138022400 squared (20051380224002) is 4020578488874182901760000
- 2005138022400 cubed (20051380224003) is 8061814800085159506050939879424000000
-
The
square root of 2005138022400 is 1416028.9624156703 -
The
cube root of 2005138022400 is 12609.9904439065
Scales and comparisons
How big is 2005138022400?- 2,005,138,022,400 seconds is equal to 63,757 years, 9 weeks, 5 days.
-
To count from 1 to 2,005,138,022,400 would take you about one hundred fifty-nine thousand, three hundred ninety-two 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 2005138022400 cubic inches would be around 1050.8 feet tall.
Recreational maths with 2005138022400
- 2005138022400 backwards is 0042208315002
- 2005138022400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2005138022400's digits is 27
- More coming soon!
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"Number 2005138022400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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The information we have on file for 2005138022400 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!
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