13681630382400
13,681,630,382,400 is an even composite number composed of seven prime numbers multiplied together.
13681630382400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 13681630382400:
26 × 33 × 52 × 172 × 19 × 137 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 19 × 137 × 421)See below for interesting mathematical facts about the number 13681630382400 from the Numbermatics database.
Names of 13681630382400
- Cardinal: 13681630382400 can be written as Thirteen trillion, six hundred eighty-one billion, six hundred thirty million, three hundred eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.36816303824 × 1013
Factors of 13681630382400
Divisors of 13681630382400
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 27 30 32 34 36 38 40 45 48 50 51 54 57 60 64 68 72 75 76 80 85 90 95 96 100 102 108 114 120 135 136 137 144 150 152 153 160 170 171 180 190 192 200 204 216 225 228 240 255 270 272 274 285 288 289 300 304 306 320 323 340 342 360 380 400 408 411 421 425 432 450 456 459 475 480 510 513 540 544 548 570 576 578 600 608 612 646 675 680 684 685 720 760 765 800 816 822 842 850 855 864 867 900 912 918 950 960 969 1020 1026 1080 1088 1096 1140 1156 1200 1216 1224 1233 1263 1275 1292 1350 1360 1368 1370 1425 1440 1445 1520 1530 1600 1615 1632 1644 1684 1700 1710 1728 1734 1800 1824 1836 1900 1938 2040 2052 2055 2105 2160 2192 2280 2295 2312 2329 2400 2448 2466 2526 2550 2565 2584 2601 2603 2700 2720 2736 2740 2850 2880 2890 2907 3040 3060 3230 3264 3288 3368 3400 3420 3425 3468 3600 3648 3672 3699 3789 3800 3825 3876 4080 4104 4110 4210 4275 4320 4335 4384 4560 4590 4624 4658 4800 4845 4896 4932 5052 5100 5130 5168 5202 5206 5400 5440 5472 5480 5491 5700 5780 5814 6080 6120 6165 6315 6460 6576 6736 6800 6840 6850 6936 6987 7157 7200 7225 7344 7398 7578 7600 7650 7752 7803 7809 7999 8075 8160 8208 8220 8420 8550 8640 8670 8721 8768 9120 9180 9248 9316 9690 9792 9864 10104 10200 10260 10275 10336 10404 10412 10525 10800 10944 10960 10982 11367 11400 11475 11560 11628 11645 12240 12330 12630 12825 12920 13005 13015 13152 13472 13600 13680 13700 13872 13974 14314 14400 14450 14535 14688 14796 15156 15200 15300 15504 15606 15618 15998 16150 16320 16416 16440 16473 16840 17100 17340 17442 18240 18360 18495 18496 18632 18945 19380 19728 20208 20400 20520 20550 20672 20808 20824 20961 21050 21471 21600 21675 21920 21964 22734 22800 22950 23120 23256 23290 23427 23997 24225 24480 24660 25260 25650 25840 26010 26030 26304 26944 27200 27360 27400 27455 27744 27948 28628 28900 29070 29376 29592 30312 30400 30600 30825 31008 31212 31236 31575 31996 32300 32832 32880 32946 33680 34200 34680 34884 34935 35785 36720 36990 37264 37890 38760 39015 39045 39456 39593 39995 40416 40800 41040 41100 41616 41648 41922 42100 42942 43200 43350 43605 43840 43928 44251 45468 45600 45900 46240 46512 46580 46854 47994 48450 48960 49320 49419 50520 51300 51680 52020 52060 54720 54800 54910 55488 55896 56835 57256 57677 57800 58140 58225 59184 60624 61200 61650 62016 62424 62472 62883 63150 63992 64413 64600 65025 65075 65760 65892 67360 68400 69360 69768 69870 70281 71570 71991 72675 73440 73980 74528 75780 77520 78030 78090 78912 79186 79990 80832 81600 82080 82200 82365 83232 83296 83844 84200 85884 86700 87210 87856 88502 90936 91200 91800 92475 92480 93024 93160 93708 94725 95988 96900 98640 98838 101040 102600 103360 104040 104120 104805 107355 109600 109820 111792 113670 114512 115354 115600 116280 116450 117135 118368 118779 119985 121248 121669 122400 123300 124848 124944 125766 126300 127984 128826 129200 130050 130150 131520 131784 132753 134720 135983 136800 137275 138720 139536 139740 140562 143140 143982 145350 146880 147960 148257 149056 151560 155040 156060 156180 158372 159980 164160 164400 164730 166464 166592 167688 168400 171768 173031 173400 174420 174675 175712 177004 178925 181872 183600 184950 186048 186320 187416 189450 191976 193239 193800 195075 195225 197280 197676 197965 199975 202080 205200 208080 208240 209610 214710 215973 218025 219200 219640 221255 223584 227340 229024 230708 231200 232560 232900 234270 236736 237558 239970 242496 243338 244800 246600 247095 249696 249888 251532 252600 255968 257652 258400 260100 260300 263568 265506 271966 273600 274550 277440 279072 279480 281124 284175 286280 287964 288385 290700 295920 296514 303120 310080 312120 312360 314415 316744 319960 322065 328800 329460 335376 336800 343536 346062 346800 348840 349350 351405 351424 354008 356337 357850 359955 363744 365007 367200 369900 372640 374832 378900 383952 386478 387600 390150 390450 394560 395352 395930 398259 399950 404160 407949 410400 411825 416160 416480 419220 429420 431946 436050 439280 442510 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35400800 35633700 36108816 36500700 36715410 36987376 37259342 37483200 37613350 38009280 38232864 38395200 38647800 38931975 38934080 39163104 39220360 39451068 39535200 39825900 40622418 40794900 41527440 41610798 42480960 42760440 43194600 43514560 43800840 43834520 44122905 45136020 46141600 46234220 47064432 47442240 47511600 47791080 48145088 48667600 48953880 49025450 49313835 49832928 50005959 50306400 51530400 51909300 52561008 52601424 52947486 53101200 53450550 54163224 54393200 54751050 54793150 55369920 55481064 55889013 56224800 56420025 57013920 57592800 57792775 58401120 58744656 58830540 59176602 59302800 59738850 60181360 61192350 61836480 62291160 62416197 62752576 63348800 63721440 65271840 65701260 65751780 66674612 67704030 68416704 69111360 69212400 69351330 70081344 70135232 70596648 70801600 71267400 72217632 73001400 73430820 73538175 73974752 74518684 75226700 76465728 77295600 77863950 78326208 78440720 78902136 79070400 79651800 81244836 81589800 82126575 82189725 83054880 83221596 83343265 85520880 86389200 87601680 87669040 88245810 90272040 91788525 92283200 92468440 93148355 94128864 95023200 95582160 97335200 97907760 98050900 98627670 99665856 100011918 100612800 101556045 103060800 103818600 104026995 105122016 105202848 105894972 106202400 106901100 108326448 108786400 109502100 109586300 110962128 111778026 112449600 112840050 114027840 115185600 115585550 116802240 117489312 117661080 118353204 118605600 119477700 120362720 122384700 124582320 124832394 127442880 130543680 131402520 131503560 132368715 133349224 135408060 138424800 138702660 141193296 142534800 144435264 146002800 146861640 147076350 147941505 147949504 149037368 150017877 150453400 154591200 155727900 156881440 157804272 159303600 162489672 163179600 164253150 164379450 166109760 166443192 166686530 167667039 169260075 171041760 172778400 173378325 175203360 175338080 176491620 180544080 183577050 184936880 186296710 188257728 190046400 191164320 194670400 195815520 196101800 197255340 200023836 203112090 207637200 208053990 210244032 210405696 211789944 212404800 213802200 216652896 217572800 219004200 219172600 220614525 221924256 223556052 225680100 231171100 234978624 235322160 236706408 237211200 238955400 240725440 244769400 246569175 249164640 249664788 250029795 262805040 263007120 264737430 266698448 270816120 276849600 277405320 279445065 282386592 285069600 292005600 293723280 294152700 295883010 298074736 300035754 300906800 309182400 311455800 312080985 313762880 315608544 316704407 318607200 324979344 326359200 328506300 328758900 332886384 333373060 335334078 338520150 342083520 345556800 346756650 350406720 350676160 352983240 361088160 367154100 369873760 372593420 382328640 391631040 392203600 394510680 400047672 406224180 415274400 416107980 416716325 423579888 427604400 433305792 438008400 438345200 441229050 443848512 447112104 450053631 451360200 462342200 465741775 470644320 473412816 477910800 489538800 493138350 498329280 499329576 500059590 503001117 507780225 520134975 525610080 526014240 529474860 533396896 541632240 554810640 558890130 564773184 570139200 584011200 587446560 588305400 591766020 596149472 600071508 601813600 622911600 624161970 631217088 633408814 637214400 649958688 652718400 657012600 657517800 661843575 665772768 666746120 670668156 677040300 693513300 705966480 722176320 734308200 739707525 739747520 745186840 750089385 784407200 789021360 800095344 812448360 830548800 832215960 833432650 838335195 847159776 855208800 876016800 876690400 882458100 894224208 900107262 902720400 924684400 931483550 941288640 946825632 950113221 955821600 979077600 986276700 998659152 1000119180 1006002234 1015560450 1040269950 1051220160 1052028480 1058949720 1066793792 1083264480 1109621280 1117780260 1174893120 1176610800 1183532040 1192298944 1200143016 1203627200 1245823200 1248323940 1250148975 1266817628 1299917376 1314025200 1315035600 1323687150 1331545536 1333492240 1341336312 1354080600 1387026600 1397225325 1411932960 1468616400 1479415050 1490373680 1500178770 1560404925 1568814400 1578042720 1583522035 1600190688 1624896720 1664431920 1666865300 1676670390 1694319552 1710417600 1752033600 1753380800 1764916200 1788448416 1800214524 1805440800 1849368800 1862967100 1893651264 1900226442 1911643200 1958155200 1972553400 1997318304 2000238360 2012004468 2031120900 2080539900 2117899440 2166528960 2219242560 2235560520 2250268155 2353221600 2367064080 2400286032 2491646400 2496647880 2500297950 2515005585 2533635256 2628050400 2630071200 2647374300 2666984480 2682672624 2708161200 2774053200 2794450650 2823865920 2850339663 2937232800 2958830100 2980747360 3000357540 3120809850 3156085440 3167044070 3200381376 3249793440 3328863840 3333730600 3353340780 3529832400 3576896832 3600429048 3610881600 3698737600 3725934200 3750446925 3800452884 3945106800 3994636608 4000476720 4024008936 4062241800 4161079800 4191675975 4235798880 4471121040 4500536310 4706443200 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22802717304 23670640800 23752830525 24002860320 24966478800 25150055850 25336352560 26669844800 26826726240 28503396630 28803432384 29807473600 30003575400 30403623072 31670440700 32192071488 32497934400 33288638400 33533407800 34204075956 36004290480 38004528840 40004767200 40240089360 42357988800 42755094945 44711210400 45005363100 45605434608 47341281600 47505661050 48005720640 49932957600 50300111700 50672705120 53653452480 57006793260 60007150800 60807246144 63340881400 67066815600 68408151912 71258491575 72008580960 76009057680 80009534400 80480178720 85510189890 89422420800 90010726200 91210869216 95011322100 99865915200 100600223400 101345410240 114013586520 120014301600 126681762800 134133631200 136816303824 142516983150 144017161920 152018115360 160960357440 171020379780 180021452400 182421738432 190022644200 201200446800 213775474725 228027173040 240028603200 253363525600 268267262400 273632607648 285033966300 304036230720 342040759560 360042904800 380045288400 402400893600 427550949450 456054346080 506727051200 547265215296 570067932600 684081519120 720085809600 760090576800 804801787200 855101898900 912108692160 1140135865200 1368163038240 1520181153600 1710203797800 2280271730400 2736326076480 3420407595600 4560543460800 6840815191200 13681630382400
- Sum of all divisors σ(n): 56309972419200
- Sum of proper divisors (its aliquot sum) s(n): 42628342036800
- 13681630382400 is an abundant number, because the sum of its proper divisors (42628342036800) is greater than itself. Its abundance is 28946711654400
Bases of 13681630382400
- Binary: 110001110001100000001011100000001001010000002
- Hexadecimal: 0xC7180B80940
- Base-36: 4UL95HAO0
Squares and roots of 13681630382400
- 13681630382400 squared (136816303824002) is 187187009920610770229760000
- 13681630382400 cubed (136816303824003) is 2561023482120438525940149844660224000000
-
The
square root of 13681630382400 is 3698868.7976731481 -
The
cube root of 13681630382400 is 23917.3257087473
Scales and comparisons
How big is 13681630382400?- 13,681,630,382,400 seconds is equal to 435,033 years, 27 weeks, 2 days, 12 hours.
-
To count from 1 to 13,681,630,382,400 would take you about one million, eighty-seven thousand, five hundred eighty-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 13681630382400 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13681630382400
- 13681630382400 backwards is 00428303618631
- 13681630382400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13681630382400's digits is 45
- More coming soon!
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"Number 13681630382400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13681630382400 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13681630382400/
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The information we have on file for 13681630382400 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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