2004216415518720
2,004,216,415,518,720 is an even composite number composed of five prime numbers multiplied together.
What does the number 2004216415518720 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
2004216415518720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 2004216415518720:
223 × 3 × 5 × 132 × 3072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 307 × 307)See below for interesting mathematical facts about the number 2004216415518720 from the Numbermatics database.
Names of 2004216415518720
- Cardinal: 2004216415518720 can be written as Two quadrillion, four trillion, two hundred sixteen billion, four hundred fifteen million, five hundred eighteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 2.00421641551872 × 1015
Factors of 2004216415518720
Divisors of 2004216415518720
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 169 192 195 208 240 256 260 307 312 320 338 384 390 416 480 507 512 520 614 624 640 676 768 780 832 845 921 960 1014 1024 1040 1228 1248 1280 1352 1535 1536 1560 1664 1690 1842 1920 2028 2048 2080 2456 2496 2535 2560 2704 3070 3072 3120 3328 3380 3684 3840 3991 4056 4096 4160 4605 4912 4992 5070 5120 5408 6140 6144 6240 6656 6760 7368 7680 7982 8112 8192 8320 9210 9824 9984 10140 10240 10816 11973 12280 12288 12480 13312 13520 14736 15360 15964 16224 16384 16640 18420 19648 19955 19968 20280 20480 21632 23946 24560 24576 24960 26624 27040 29472 30720 31928 32448 32768 33280 36840 39296 39910 39936 40560 40960 43264 47892 49120 49152 49920 51883 53248 54080 58944 59865 61440 63856 64896 65536 66560 73680 78592 79820 79872 81120 81920 86528 94249 95784 98240 98304 99840 103766 106496 108160 117888 119730 122880 127712 129792 131072 133120 147360 155649 157184 159640 159744 162240 163840 173056 188498 191568 196480 196608 199680 207532 212992 216320 235776 239460 245760 255424 259415 259584 262144 266240 282747 294720 311298 314368 319280 319488 324480 327680 346112 376996 383136 392960 393216 399360 415064 425984 432640 471245 471552 478920 491520 510848 518830 519168 524288 532480 565494 589440 622596 628736 638560 638976 648960 655360 692224 753992 766272 778245 785920 786432 798720 830128 851968 865280 942490 943104 957840 983040 1021696 1037660 1038336 1048576 1064960 1130988 1178880 1225237 1245192 1257472 1277120 1277952 1297920 1310720 1384448 1413735 1507984 1532544 1556490 1571840 1572864 1597440 1660256 1703936 1730560 1884980 1886208 1915680 1966080 2043392 2075320 2076672 2097152 2129920 2261976 2357760 2450474 2490384 2514944 2554240 2555904 2595840 2621440 2768896 2827470 3015968 3065088 3112980 3143680 3145728 3194880 3320512 3407872 3461120 3675711 3769960 3772416 3831360 3932160 4086784 4150640 4153344 4194304 4259840 4523952 4715520 4900948 4980768 5029888 5108480 5111808 5191680 5242880 5537792 5654940 6031936 6126185 6130176 6225960 6287360 6291456 6389760 6641024 6815744 6922240 7351422 7539920 7544832 7662720 7864320 8173568 8301280 8306688 8388608 8519680 9047904 9431040 9801896 9961536 10059776 10216960 10223616 10383360 10485760 11075584 11309880 12063872 12252370 12260352 12451920 12574720 12582912 12779520 13282048 13631488 13844480 14702844 15079840 15089664 15325440 15728640 15928081 16347136 16602560 16613376 17039360 18095808 18378555 18862080 19603792 19923072 20119552 20433920 20447232 20766720 20971520 22151168 22619760 24127744 24504740 24520704 24903840 25149440 25165824 25559040 26564096 27262976 27688960 29405688 30159680 30179328 30650880 31457280 31856162 32694272 33205120 33226752 34078720 36191616 36757110 37724160 39207584 39846144 40239104 40867840 40894464 41533440 41943040 44302336 45239520 47784243 48255488 49009480 49041408 49807680 50298880 51118080 53128192 54525952 55377920 58811376 60319360 60358656 61301760 62914560 63712324 65388544 66410240 66453504 68157440 72383232 73514220 75448320 78415168 79640405 79692288 80478208 81735680 81788928 83066880 88604672 90479040 95568486 96510976 98018960 98082816 99615360 100597760 102236160 106256384 109051904 110755840 117622752 120638720 120717312 122603520 125829120 127424648 130777088 132820480 132907008 136314880 144766464 147028440 150896640 156830336 159280810 159384576 160956416 163471360 163577856 166133760 177209344 180958080 191136972 193021952 196037920 196165632 199230720 201195520 204472320 212512768 221511680 235245504 238921215 241277440 241434624 245207040 254849296 261554176 265640960 265814016 272629760 289532928 294056880 301793280 313660672 318561620 318769152 321912832 326942720 327155712 332267520 354418688 361916160 382273944 386043904 392075840 392331264 398461440 402391040 408944640 425025536 443023360 470491008 477842430 482554880 482869248 490414080 509698592 523108352 531281920 531628032 545259520 579065856 588113760 603586560 627321344 637123240 637538304 643825664 653885440 664535040 708837376 723832320 764547888 772087808 784151680 784662528 796922880 804782080 817889280 850051072 886046720 940982016 955684860 965109760 965738496 980828160 1019397184 1046216704 1062563840 1063256064 1158131712 1176227520 1207173120 1254642688 1274246480 1275076608 1287651328 1307770880 1329070080 1417674752 1447664640 1529095776 1544175616 1568303360 1569325056 1593845760 1609564160 1635778560 1700102144 1772093440 1881964032 1911369720 1930219520 1931476992 1961656320 2038794368 2092433408 2125127680 2126512128 2316263424 2352455040 2414346240 2509285376 2548492960 2550153216 2575302656 2615541760 2658140160 2895329280 3058191552 3088351232 3136606720 3138650112 3187691520 3219128320 3400204288 3544186880 3763928064 3822739440 3860439040 3862953984 3923312640 4077588736 4184866816 4250255360 4253024256 4632526848 4704910080 4828692480 5018570752 5096985920 5100306432 5231083520 5316280320 5790658560 6116383104 6176702464 6273213440 6277300224 6375383040 6438256640 6800408576 7088373760 7527856128 7645478880 7720878080 7725907968 7846625280 8155177472 8369733632 8500510720 9265053696 9409820160 9657384960 10037141504 10193971840 10200612864 10462167040 10632560640 11581317120 12232766208 12353404928 12546426880 12554600448 12750766080 12876513280 13600817152 15055712256 15290957760 15441756160 15693250560 16310354944 16739467264 17001021440 18530107392 18819640320 19314769920 20074283008 20387943680 20401225728 20924334080 21265121280 23162634240 24465532416 24706809856 25092853760 25109200896 25501532160 27201634304 30111424512 30581915520 30883512320 31386501120 32620709888 33478934528 34002042880 37060214784 37639280640 38629539840 40148566016 40775887360 40802451456 41848668160 46325268480 48931064832 49413619712 50185707520 50218401792 51003064320 54403268608 60222849024 61163831040 61767024640 62773002240 65241419776 68004085760 74120429568 75278561280 80297132032 81551774720 81604902912 83697336320 92650536960 97862129664 98827239424 100371415040 100436803584 102006128640 108806537216 120445698048 122327662080 123534049280 125546004480 130482839552 136008171520 148240859136 150557122560 160594264064 163103549440 163209805824 167394672640 185301073920 195724259328 197654478848 200742830080 204012257280 217613074432 240891396096 244655324160 247068098560 251092008960 260965679104 272016343040 296481718272 301114245120 321188528128 326207098880 326419611648 370602147840 391448518656 395308957696 401485660160 408024514560 435226148864 481782792192 489310648320 494136197120 502184017920 521931358208 544032686080 592963436544 602228490240 642377056256 652414197760 652839223296 741204295680 782897037312 790617915392 802971320320 816049029120 963565584384 978621296640 988272394240 1043862716416 1088065372160 1185926873088 1204456980480 1284754112512 1304828395520 1305678446592 1482408591360 1565794074624 1605942640640 1632098058240 1927131168768 1957242593280 1976544788480 2087725432832 2176130744320 2371853746176 2408913960960 2569508225024 2609656791040 2964817182720 3131588149248 3211885281280 3264196116480 3854262337536 3914485186560 3953089576960 4175450865664 4817827921920 5139016450048 5219313582080 5929634365440 6263176298496 6423770562560 6528392232960 7708524675072 7828970373120 8350901731328 9635655843840 10278032900096 10438627164160 11859268730880 12526352596992 12847541125120 15417049350144 15657940746240 16701803462656 19271311687680 20877254328320 25052705193984 25695082250240 30834098700288 31315881492480 33403606925312 38542623375360 41754508656640 50105410387968 51390164500480 62631762984960 66807213850624 77085246750720 83509017313280 100210820775936 125263525969920 133614427701248 154170493501440 167018034626560 200421641551872 250527051939840 334036069253120 400843283103744 501054103879680 668072138506240 1002108207759360 2004216415518720
- Sum of all divisors σ(n): 6967482497571960
- Sum of proper divisors (its aliquot sum) s(n): 4963266082053240
- 2004216415518720 is an abundant number, because the sum of its proper divisors (4963266082053240) is greater than itself. Its abundance is 2959049666534520
Bases of 2004216415518720
- Binary: 1110001111011010010111111111000000000000000000000002
- Hexadecimal: 0x71ED2FF800000
- Base-36: JQFOB6GR9C
Squares and roots of 2004216415518720
- 2004216415518720 squared (20042164155187202) is 4016883440234706502846670438400
- 2004216415518720 cubed (20042164155187203) is 8050703730143708003831088077893151225806848000
-
The
square root of 2004216415518720 is 44768475.6890238557 -
The
cube root of 2004216415518720 is 126080.5820203835
Scales and comparisons
How big is 2004216415518720?- 2,004,216,415,518,720 seconds is equal to 63,727,882 years, 29 weeks, 2 days, 16 hours, 32 minutes.
-
To count from 1 to 2,004,216,415,518,720 would take you about one hundred ninety-one million, one hundred eighty-three thousand, six hundred forty-seven 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 2004216415518720 cubic inches would be around 10506.7 feet tall.
Recreational maths with 2004216415518720
- 2004216415518720 backwards is 0278155146124002
- 2004216415518720 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2004216415518720's digits is 48
- More coming soon!
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The information we have on file for 2004216415518720 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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