1338224820224000
1,338,224,820,224,000 is an even composite number composed of five prime numbers multiplied together.
1338224820224000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 1338224820224000:
217 × 53 × 17 × 293 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 29 × 29 × 29 × 197)See below for interesting mathematical facts about the number 1338224820224000 from the Numbermatics database.
Names of 1338224820224000
- Cardinal: 1338224820224000 can be written as One quadrillion, three hundred thirty-eight trillion, two hundred twenty-four billion, eight hundred twenty million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.338224820224 × 1015
Factors of 1338224820224000
Divisors of 1338224820224000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 40 50 58 64 68 80 85 100 116 125 128 136 145 160 170 197 200 232 250 256 272 290 320 340 394 400 425 464 493 500 512 544 580 640 680 725 788 800 841 850 928 985 986 1000 1024 1088 1160 1280 1360 1450 1576 1600 1682 1700 1856 1970 1972 2000 2048 2125 2176 2320 2465 2560 2720 2900 3152 3200 3349 3364 3400 3625 3712 3940 3944 4000 4096 4205 4250 4352 4640 4925 4930 5120 5440 5713 5800 6304 6400 6698 6728 6800 7250 7424 7880 7888 8000 8192 8410 8500 8704 9280 9850 9860 10240 10880 11426 11600 12325 12608 12800 13396 13456 13600 14297 14500 14848 15760 15776 16000 16384 16745 16820 17000 17408 18560 19700 19720 20480 21025 21760 22852 23200 24389 24625 24650 25216 25600 26792 26912 27200 28565 28594 29000 29696 31520 31552 32000 32768 33490 33640 34000 34816 37120 39400 39440 40960 42050 43520 45704 46400 48778 49250 49300 50432 51200 53584 53824 54400 57130 57188 58000 59392 61625 63040 63104 64000 65536 66980 67280 68000 69632 71485 74240 78800 78880 81920 83725 84100 87040 91408 92800 97121 97556 98500 98600 100864 102400 105125 107168 107648 108800 114260 114376 116000 118784 121945 123250 126080 126208 128000 131072 133960 134560 136000 139264 142825 142970 148480 157600 157760 163840 165677 167450 168200 174080 182816 185600 194242 195112 197000 197200 201728 204800 210250 214336 215296 217600 228520 228752 232000 237568 243890 246500 252160 252416 256000 267920 269120 272000 278528 285650 285940 296960 315200 315520 327680 331354 334900 336400 348160 357425 365632 371200 388484 390224 394000 394400 403456 409600 414613 418625 420500 428672 430592 435200 457040 457504 464000 475136 485605 487780 493000 504320 504832 512000 535840 538240 544000 557056 571300 571880 593920 609725 630400 631040 655360 662708 669800 672800 696320 714125 714850 731264 742400 776968 780448 788000 788800 806912 819200 828385 829226 837250 841000 857344 861184 870400 914080 915008 928000 950272 971210 975560 986000 1008640 1009664 1024000 1071680 1076480 1088000 1114112 1142600 1143760 1187840 1219450 1260800 1262080 1325416 1339600 1345600 1392640 1428250 1429700 1462528 1484800 1553936 1560896 1576000 1577600 1613824 1638400 1656770 1658452 1674500 1682000 1714688 1722368 1740800 1787125 1828160 1830016 1856000 1900544 1942420 1951120 1972000 2017280 2019328 2048000 2073065 2143360 2152960 2176000 2228224 2285200 2287520 2375680 2428025 2438900 2521600 2524160 2650832 2679200 2691200 2785280 2816509 2856500 2859400 2925056 2969600 3048625 3107872 3121792 3152000 3155200 3227648 3276800 3313540 3316904 3349000 3364000 3429376 3444736 3481600 3574250 3656320 3660032 3712000 3801088 3884840 3902240 3944000 4034560 4038656 4096000 4141925 4146130 4286720 4305920 4352000 4570400 4575040 4751360 4804633 4856050 4877800 5043200 5048320 5301664 5358400 5382400 5570560 5633018 5713000 5718800 5850112 5939200 6097250 6215744 6243584 6304000 6310400 6455296 6627080 6633808 6698000 6728000 6858752 6889472 6963200 7148500 7312640 7320064 7424000 7769680 7804480 7888000 8069120 8077312 8192000 8283850 8292260 8573440 8611840 8704000 9140800 9150080 9502720 9609266 9712100 9755600 10086400 10096640 10365325 10603328 10716800 10764800 11141120 11266036 11426000 11437600 11700224 11878400 12140125 12194500 12431488 12487168 12608000 12620800 12910592 13254160 13267616 13396000 13456000 13717504 13778944 13926400 14082545 14297000 14625280 14640128 14848000 15539360 15608960 15776000 16138240 16154624 16384000 16567700 16584520 17146880 17223680 17408000 18281600 18300160 19005440 19218532 19424200 19511200 20172800 20193280 20709625 20730650 21206656 21433600 21529600 22532072 22852000 22875200 23400448 23756800 24023165 24280250 24389000 24862976 24974336 25216000 25241600 25821184 26508320 26535232 26792000 26912000 27435008 27557888 27852800 28165090 28594000 29250560 29280256 29696000 31078720 31217920 31552000 32276480 32309248 33135400 33169040 34293760 34447360 34816000 36563200 36600320 38437064 38848400 39022400 40345600 40386560 41419250 41461300 42413312 42867200 43059200 45064144 45704000 45750400 46800896 47513600 48046330 48560500 48778000 49725952 49948672 50432000 50483200 51826625 53016640 53070464 53584000 53824000 54870016 55115776 55705600 56330180 57188000 58501120 58560512 59392000 62157440 62435840 63104000 64552960 64618496 66270800 66338080 68587520 68894720 69632000 70412725 73126400 73200640 76874128 77696800 78044800 80691200 80773120 81678761 82838500 82922600 84826624 85734400 86118400 90128288 91408000 91500800 93601792 95027200 96092660 97121000 97556000 99451904 99897344 100864000 100966400 103653250 106033280 106140928 107168000 107648000 109740032 110231552 112660360 114376000 117002240 117121024 118784000 120115825 124314880 124871680 126208000 129105920 132541600 132676160 137175040 137789440 139264000 140825450 146252800 146401280 153748256 155393600 156089600 161382400 161546240 163357522 165677000 165845200 169653248 171468800 172236800 180256576 182816000 183001600 187203584 192185320 194242000 195112000 198903808 199794688 201728000 201932800 207306500 212066560 212281856 214336000 215296000 219480064 225320720 228752000 234004480 234242048 237568000 240231650 248629760 249743360 252416000 265083200 265352320 274350080 275578880 278528000 281650900 292505600 292802560 307496512 310787200 312179200 322764800 323092480 326715044 331354000 331690400 339306496 342937600 344473600 352063625 360513152 365632000 366003200 374407168 384370640 388484000 390224000 397807616 399589376 403456000 403865600 408393805 414613000 424133120 424563712 428672000 430592000 438960128 450641440 457504000 468008960 468484096 475136000 480463300 497259520 499486720 504832000 530166400 530704640 548700160 551157760 563301800 585011200 585605120 600579125 614993024 621574400 624358400 645529600 653430088 662708000 663380800 678612992 685875200 688947200 704127250 721026304 731264000 732006400 748814336 768741280 776968000 780448000 795615232 799178752 806912000 807731200 816787610 829226000 848266240 849127424 857344000 861184000 901282880 915008000 936017920 936968192 960926600 994519040 998973440 1009664000 1060332800 1061409280 1097400320 1126603600 1170022400 1171210240 1201158250 1229986048 1243148800 1248716800 1306860176 1325416000 1326761600 1357225984 1371750400 1377894400 1408254500 1442052608 1462528000 1464012800 1537482560 1553936000 1560896000 1591230464 1598357504 1613824000 1615462400 1633575220 1658452000 1696532480 1698254848 1714688000 1722368000 1802565760 1830016000 1872035840 1873936384 1921853200 1989038080 1997946880 2019328000 2041969025 2120665600 2122818560 2194800640 2253207200 2340044800 2342420480 2402316500 2459972096 2486297600 2497433600 2613720352 2650832000 2653523200 2714451968 2743500800 2755788800 2816509000 2884105216 2925056000 2928025600 3074965120 3107872000 3121792000 3182460928 3196715008 3227648000 3267150440 3316904000 3393064960 3396509696 3429376000 3444736000 3605131520 3660032000 3744071680 3843706400 3978076160 3995893760 4038656000 4083938050 4241331200 4245637120 4506414400 4680089600 4684840960 4804633000 4919944192 4972595200 4994867200 5227440704 5301664000 5307046400 5428903936 5487001600 5633018000 5768210432 5850112000 5856051200 6149930240 6215744000 6243584000 6364921856 6534300880 6633808000 6786129920 6793019392 6858752000 6889472000 7210263040 7320064000 7687412800 7956152320 7991787520 8077312000 8167876100 8482662400 8491274240 9012828800 9360179200 9369681920 9609266000 9839888384 9945190400 9989734400 10209845125 10454881408 10603328000 10614092800 10857807872 10974003200 11266036000 11536420864 11700224000 11712102400 12299860480 12431488000 12487168000 12729843712 13068601760 13267616000 13572259840 13586038784 13717504000 13778944000 14420526080 14640128000 15374825600 15912304640 15983575040 16335752200 16965324800 16982548480 18025657600 18720358400 19218532000 19679776768 19890380800 19979468800 20419690250 20909762816 21206656000 21228185600 21715615744 22532072000 23072841728 23400448000 23424204800 24599720960 24862976000 24974336000 26137203520 26535232000 27144519680 27172077568 27435008000 28841052160 29280256000 30749651200 31824609280 32671504400 33930649600 33965096960 36051315200 38437064000 39359553536 39780761600 39958937600 40839380500 41819525632 42413312000 42456371200 45064144000 46145683456 46800896000 46848409600 49199441920 49725952000 49948672000 52274407040 53070464000 54289039360 54344155136 54870016000 57682104320 58560512000 61499302400 63649218560 65343008800 67861299200 67930193920 72102630400 76874128000 78719107072 79561523200 79917875200 81678761000 83639051264 84826624000 84912742400 90128288000 92291366912 93601792000 98398883840 99451904000 99897344000 104548814080 106140928000 108578078720 115364208640 117121024000 122998604800 130686017600 135722598400 135860387840 144205260800 153748256000 157438214144 159123046400 163357522000 167278102528 169653248000 169825484800 180256576000 184582733824 196797767680 198903808000 199794688000 209097628160 212281856000 230728417280 234242048000 245997209600 261372035200 271445196800 271720775680 288410521600 307496512000 314876428288 318246092800 326715044000 334556205056 339306496000 339650969600 360513152000 369165467648 393595535360 397807616000 399589376000 418195256320 424563712000 461456834560 491994419200 522744070400 542890393600 576821043200 614993024000 629752856576 653430088000 669112410112 678612992000 679301939200 721026304000 787191070720 795615232000 836390512640 849127424000 922913669120 983988838400 1045488140800 1153642086400 1229986048000 1306860176000 1338224820224 1357225984000 1358603878400 1442052608000 1574382141440 1591230464000 1672781025280 1698254848000 1845827338240 1967977676800 2090976281600 2307284172800 2459972096000 2613720352000 2676449640448 2714451968000 2884105216000 3148764282880 3345562050560 3396509696000 3935955353600 4181952563200 4614568345600 4919944192000 5227440704000 5352899280896 5768210432000 6691124101120 6793019392000 7871910707200 8363905126400 9229136691200 9839888384000 10454881408000 10705798561792 11536420864000 13382248202240 15743821414400 16727810252800 19679776768000 20909762816000 23072841728000 26764496404480 33455620505600 39359553536000 41819525632000 46145683456000 53528992808960 66911241011200 78719107072000 83639051264000 133822482022400 167278102528000 267644964044800 334556205056000 669112410112000 1338224820224000
- Sum of all divisors σ(n): 3681577144365120
- Sum of proper divisors (its aliquot sum) s(n): 2343352324141120
- 1338224820224000 is an abundant number, because the sum of its proper divisors (2343352324141120) is greater than itself. Its abundance is 1005127503917120
Bases of 1338224820224000
- Binary: 1001100000100011011101111110000101000000000000000002
- Hexadecimal: 0x4C11BBF0A0000
- Base-36: D6CZZU0QGW
Squares and roots of 1338224820224000
- 1338224820224000 squared (13382248202240002) is 1790845669463557119410176000000
- 1338224820224000 cubed (13382248202240003) is 2396554124066797652642238078516199424000000000
-
The
square root of 1338224820224000 is 36581755.2917297833 -
The
cube root of 1338224820224000 is 110198.6718214807
Scales and comparisons
How big is 1338224820224000?- 1,338,224,820,224,000 seconds is equal to 42,551,409 years, 45 weeks, 6 days, 53 minutes, 20 seconds.
-
To count from 1 to 1,338,224,820,224,000 would take you about one hundred twenty-seven million, six hundred fifty-four thousand, two hundred twenty-nine 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 1338224820224000 cubic inches would be around 9183.2 feet tall.
Recreational maths with 1338224820224000
- 1338224820224000 backwards is 0004220284228331
- The number of decimal digits it has is: 16
- The sum of 1338224820224000's digits is 41
- More coming soon!
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The information we have on file for 1338224820224000 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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