13664142028800
13,664,142,028,800 is an even composite number composed of six prime numbers multiplied together.
13664142028800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13664142028800:
212 × 33 × 52 × 41 × 149 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 41 × 149 × 809)See below for interesting mathematical facts about the number 13664142028800 from the Numbermatics database.
Names of 13664142028800
- Cardinal: 13664142028800 can be written as Thirteen trillion, six hundred sixty-four billion, one hundred forty-two million, twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36641420288 × 1013
Factors of 13664142028800
Divisors of 13664142028800
- Number of divisors d(n): 1248
-
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 41 45 48 50 54 60 64 72 75 80 82 90 96 100 108 120 123 128 135 144 149 150 160 164 180 192 200 205 216 225 240 246 256 270 288 298 300 320 328 360 369 384 400 410 432 447 450 480 492 512 540 576 596 600 615 640 656 675 720 738 745 768 800 809 820 864 894 900 960 984 1024 1025 1080 1107 1152 1192 1200 1230 1280 1312 1341 1350 1440 1476 1490 1536 1600 1618 1640 1728 1788 1800 1845 1920 1968 2048 2050 2160 2214 2235 2304 2384 2400 2427 2460 2560 2624 2682 2700 2880 2952 2980 3072 3075 3200 3236 3280 3456 3576 3600 3690 3725 3840 3936 4023 4045 4096 4100 4320 4428 4470 4608 4768 4800 4854 4920 5120 5248 5364 5400 5535 5760 5904 5960 6109 6144 6150 6400 6472 6560 6705 6912 7152 7200 7281 7380 7450 7680 7872 8046 8090 8200 8640 8856 8940 9216 9225 9536 9600 9708 9840 10240 10496 10728 10800 11070 11175 11520 11808 11920 12135 12218 12288 12300 12800 12944 13120 13410 13824 14304 14400 14562 14760 14900 15360 15744 16092 16180 16400 17280 17712 17880 18327 18432 18450 19072 19200 19416 19680 20115 20225 20480 20992 21456 21600 21843 22140 22350 23040 23616 23840 24270 24436 24600 25600 25888 26240 26820 27648 27675 28608 28800 29124 29520 29800 30545 30720 31488 32184 32360 32800 33169 33525 34560 35424 35760 36405 36654 36864 36900 38144 38400 38832 39360 40230 40450 41984 42912 43200 43686 44280 44700 46080 47232 47680 48540 48872 49200 51200 51776 52480 53640 54981 55296 55350 57216 57600 58248 59040 59600 60675 61090 61440 62976 64368 64720 65600 66338 67050 69120 70848 71520 72810 73308 73800 76288 76800 77664 78720 80460 80900 83968 85824 86400 87372 88560 89400 91635 92160 94464 95360 97080 97744 98400 99507 100575 102400 103552 104960 107280 109215 109962 110592 110700 114432 115200 116496 118080 119200 120541 121350 122180 125952 128736 129440 131200 132676 134100 138240 141696 143040 145620 146616 147600 152576 152725 153600 155328 157440 160920 161800 164943 165845 167936 171648 172800 174744 177120 178800 182025 183270 184320 188928 190720 194160 195488 196800 199014 201150 207104 209920 214560 218430 219924 221400 228864 230400 232992 236160 238400 241082 242700 244360 251904 257472 258880 262400 265352 268200 274905 276480 283392 286080 291240 293232 295200 298521 305152 305450 307200 310656 314880 321840 323600 329886 331690 343296 345600 349488 354240 357600 361623 364050 366540 377856 381440 388320 390976 393600 398028 402300 414208 419840 429120 436860 439848 442800 457728 458175 460800 465984 472320 476800 482164 485400 488720 497535 503808 514944 517760 524800 530704 536400 546075 549810 552960 566784 572160 582480 586464 590400 597042 602705 610304 610900 621312 629760 643680 647200 659772 663380 686592 691200 698976 708480 715200 723246 728100 733080 755712 762880 776640 781952 787200 796056 804600 824715 828416 829225 839680 858240 873720 879696 885600 895563 915456 916350 921600 931968 944640 953600 964328 970800 977440 995070 1029888 1035520 1049600 1061408 1072800 1084869 1092150 1099620 1133568 1144320 1164960 1172928 1180800 1194084 1205410 1221800 1242624 1259520 1287360 1294400 1319544 1326760 1373184 1374525 1382400 1397952 1416960 1430400 1446492 1456200 1466160 1492605 1511424 1525760 1553280 1563904 1574400 1592112 1609200 1649430 1656832 1658450 1716480 1747440 1759392 1771200 1791126 1808115 1830912 1832700 1863936 1889280 1907200 1928656 1941600 1954880 1990140 2059776 2071040 2099200 2122816 2145600 2169738 2184300 2199240 2267136 2288640 2329920 2345856 2361600 2388168 2410820 2443600 2485248 2487675 2519040 2574720 2588800 2639088 2653520 2746368 2749050 2764800 2795904 2833920 2860800 2892984 2912400 2932320 2985210 3013525 3051520 3106560 3127808 3148800 3184224 3218400 3254607 3298860 3313664 3316900 3432960 3494880 3518784 3542400 3582252 3616230 3665400 3727872 3778560 3814400 3857312 3883200 3909760 3980280 4119552 4123575 4142080 4198400 4245632 4291200 4339476 4368600 4398480 4477815 4534272 4577280 4659840 4691712 4723200 4776336 4821640 4887200 4942181 4970496 4975350 5149440 5177600 5278176 5307040 5424345 5492736 5498100 5591808 5667840 5721600 5785968 5824800 5864640 5970420 6027050 6213120 6255616 6297600 6368448 6436800 6509214 6597720 6633800 6865920 6989760 7037568 7084800 7164504 7232460 7330800 7455744 7463025 7557120 7628800 7714624 7766400 7819520 7960560 8239104 8247150 8284160 8491264 8582400 8678952 8737200 8796960 8955630 9040575 9154560 9319680 9383424 9446400 9552672 9643280 9774400 9884362 9940992 9950700 10298880 10355200 10556352 10614080 10848690 10996200 11183616 11335680 11443200 11571936 11649600 11729280 11940840 12054100 12426240 12511232 12595200 12736896 12873600 13018428 13195440 13267600 13731840 13979520 14075136 14169600 14329008 14464920 14661600 14826543 14911488 14926050 15257600 15429248 15532800 15639040 15921120 16273035 16478208 16494300 16568320 16982528 17164800 17357904 17474400 17593920 17911260 18081150 18639360 18766848 18892800 19105344 19286560 19548800 19768724 19901400 20597760 20710400 21112704 21228160 21697380 21992400 22367232 22389075 22671360 22886400 23143872 23299200 23458560 23881680 24108200 24710905 24852480 25022464 25473792 25747200 26036856 26390880 26535200 27121725 27463680 27959040 28150272 28339200 28658016 28929840 29323200 29653086 29822976 29852100 30858496 31065600 31278080 31842240 32546070 32988600 33965056 34329600 34715808 34948800 35187840 35822520 36162300 37278720 37533696 37785600 38210688 38573120 39097600 39537448 39802800 41195520 41420800 42225408 42456320 43394760 43984800 44479629 44734464 44778150 45772800 46287744 46598400 46917120 47763360 48216400 49421810 49704960 50947584 51494400 52073712 52781760 53070400 54243450 55918080 56300544 56678400 57316032 57859680 58646400 59306172 59704200 61716992 62131200 62556160 63684480 65092140 65977200 67930112 68659200 69431616 69897600 70375680 71645040 72324600 74132715 74557440 75067392 76421376 77146240 78195200 79074896 79605600 81365175 82391040 82841600 84450816 84912640 86789520 87969600 88959258 89468928 89556300 92575488 93196800 93834240 95526720 96432800 98843620 101895168 102988800 104147424 105563520 106140800 108486900 111836160 112601088 113356800 114632064 115719360 117292800 118612344 119408400 123433984 123554525 124262400 125112320 127368960 130184280 131954400 133438887 135860224 137318400 138863232 139795200 140751360 143290080 144649200 148265430 149114880 152842752 154292480 156390400 158149792 159211200 162730350 168901632 169825280 173579040 175939200 177918516 179112600 185150976 186393600 187668480 191053440 192865600 197687240 203790336 205977600 208294848 211127040 212281600 216973800 222398145 223672320 225202176 229264128 231438720 234585600 237224688 238816800 246867968 247109050 248524800 254737920 260368560 263908800 266877774 277726464 279590400 281502720 286580160 289298400 296530860 305685504 308584960 312780800 316299584 318422400 325460700 337803264 339650560 347158080 351878400 355837032 358225200 370301952 370663575 372787200 375336960 382106880 385731200 395374480 407580672 411955200 416589696 422254080 424563200 433947600 444796290 447344640 458528256 462877440 469171200 474449376 477633600 493735936 494218100 509475840 520737120 527817600 533755548 555452928 559180800 563005440 573160320 578596800 593061720 611371008 617169920 625561600 632599168 636844800 650921400 667194435 675606528 679301120 694316160 703756800 711674064 716450400 740603904 741327150 745574400 764213760 771462400 790748960 833179392 844508160 849126400 867895200 889592580 917056512 925754880 938342400 948898752 955267200 988436200 1018951680 1041474240 1055635200 1067511096 1110905856 1111990725 1118361600 1126010880 1146320640 1157193600 1186123440 1222742016 1234339840 1265198336 1273689600 1301842800 1334388870 1388632320 1407513600 1423348128 1432900800 1481207808 1482654300 1528427520 1542924800 1581497920 1666358784 1689016320 1698252800 1735790400 1779185160 1834113024 1851509760 1876684800 1897797504 1910534400 1976872400 2037903360 2082948480 2111270400 2135022192 2221811712 2223981450 2236723200 2292641280 2314387200 2372246880 2468679680 2530396672 2547379200 2603685600 2668777740 2777264640 2815027200 2846696256 2865801600 2965308600 3056855040 3085849600 3162995840 3332717568 3335972175 3378032640 3396505600 3471580800 3558370320 3668226048 3703019520 3795595008 3821068800 3953744800 4165896960 4222540800 4270044384 4443623424 4447962900 4585282560 4628774400 4744493760 5060793344 5094758400 5207371200 5337555480 5554529280 5630054400 5693392512 5731603200 5930617200 6113710080 6171699200 6325991680 6665435136 6671944350 6943161600 7116740640 7406039040 7591190016 7642137600 7907489600 8331793920 8445081600 8540088768 8895925800 9170565120 9257548800 9488987520 10121586688 10189516800 10414742400 10675110960 11109058560 11386785024 11463206400 11861234400 12343398400 12651983360 13330870272 13343888700 13886323200 14233481280 15182380032 15284275200 15814979200 16663587840 16890163200 17080177536 17791851600 18341130240 18515097600 18977975040 20243173376 20829484800 21350221920 22218117120 22773570048 22926412800 23722468800 25303966720 26687777400 27772646400 28466962560 30364760064 30568550400 31629958400 33327175680 34160355072 35583703200 37030195200 37955950080 41658969600 42700443840 45547140096 45852825600 47444937600 50607933440 53375554800 55545292800 56933925120 60729520128 63259916800 66654351360 68320710144 71167406400 75911900160 83317939200 85400887680 91094280192 91705651200 94889875200 101215866880 106751109600 111090585600 113867850240 126519833600 136641420288 142334812800 151823800320 166635878400 170801775360 182188560384 189779750400 213502219200 227735700480 253039667200 273282840576 284669625600 303647600640 333271756800 341603550720 379559500800 427004438400 455471400960 506079334400 546565681152 569339251200 683207101440 759119001600 854008876800 910942801920 1138678502400 1366414202880 1518238003200 1708017753600 2277357004800 2732828405760 3416035507200 4554714009600 6832071014400 13664142028800
- Sum of all divisors σ(n): 51830354520000
- Sum of proper divisors (its aliquot sum) s(n): 38166212491200
- 13664142028800 is an abundant number, because the sum of its proper divisors (38166212491200) is greater than itself. Its abundance is 24502070462400
Bases of 13664142028800
- Binary: 110001101101011011100101010011110000000000002
- Hexadecimal: 0xC6D6E54F000
- Base-36: 4UD7XD6O0
Squares and roots of 13664142028800
- 13664142028800 squared (136641420288002) is 186708777383218580029440000
- 13664142028800 cubed (136641420288003) is 2551215252187899883197327445327872000000
-
The
square root of 13664142028800 is 3696504.0279702117 -
The
cube root of 13664142028800 is 23907.1307007435
Scales and comparisons
How big is 13664142028800?- 13,664,142,028,800 seconds is equal to 434,477 years, 23 weeks, 3 days.
-
To count from 1 to 13,664,142,028,800 would take you about one million, eighty-six thousand, one hundred ninety-three 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 13664142028800 cubic inches would be around 1992.3 feet tall.
Recreational maths with 13664142028800
- 13664142028800 backwards is 00882024146631
- 13664142028800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13664142028800's digits is 45
- More coming soon!
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The information we have on file for 13664142028800 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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