13681369663508800
13,681,369,663,508,800 is an even composite number composed of six prime numbers multiplied together.
13681369663508800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 13681369663508800:
26 × 52 × 114 × 292 × 37 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 11 × 29 × 29 × 37 × 137 × 137)See below for interesting mathematical facts about the number 13681369663508800 from the Numbermatics database.
Names of 13681369663508800
- Cardinal: 13681369663508800 can be written as Thirteen quadrillion, six hundred eighty-one trillion, three hundred sixty-nine billion, six hundred sixty-three million, five hundred eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36813696635088 × 1016
Factors of 13681369663508800
Divisors of 13681369663508800
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 32 37 40 44 50 55 58 64 74 80 88 100 110 116 121 137 145 148 160 176 185 200 220 232 242 274 275 290 296 319 320 352 370 400 407 440 464 484 548 550 580 592 605 638 685 704 725 740 800 814 841 880 925 928 968 1073 1096 1100 1160 1184 1210 1276 1331 1370 1450 1480 1507 1595 1600 1628 1682 1760 1850 1856 1936 2035 2146 2192 2200 2320 2368 2420 2552 2662 2740 2900 2960 3014 3025 3190 3256 3364 3425 3509 3520 3700 3872 3973 4070 4205 4292 4384 4400 4477 4640 4840 5069 5104 5324 5365 5480 5800 5920 6028 6050 6380 6512 6655 6728 6850 7018 7400 7535 7744 7946 7975 8140 8410 8584 8768 8800 8954 9251 9280 9680 10138 10175 10208 10648 10730 10960 11600 11803 11840 12056 12100 12760 13024 13310 13456 13700 14036 14641 14800 15070 15892 15950 16280 16577 16820 17168 17545 17600 17908 18502 18769 19360 19865 20276 20350 20416 21025 21296 21460 21920 22385 23200 23606 24112 24200 25345 25520 26048 26620 26825 26912 27400 28072 29282 29600 30140 31117 31784 31900 32560 33154 33275 33640 34336 35090 35816 37004 37538 37675 38599 38720 39730 40552 40700 42050 42592 42920 43703 43840 44770 46255 46400 47212 48224 48400 49247 50690 51040 53240 53650 53824 54800 55759 56144 58564 59015 59200 60280 62234 63568 63800 65120 66308 66550 67280 68672 70180 71632 73205 74008 75076 75350 77198 79460 81104 81400 82885 84100 85184 85840 87406 87725 89540 92510 93845 94424 96448 96800 98494 99325 101380 101761 102080 106480 107300 109600 111518 111925 112288 115217 117128 118030 120560 124468 126725 127136 127600 129833 130240 132616 133100 134560 140360 143264 146410 147001 148016 150152 150700 154396 155585 158920 162208 162800 165770 168200 171680 174812 175450 179080 182347 185020 187690 188848 192995 193600 196988 198650 202760 203522 206459 212960 214600 218515 219200 223036 223850 224576 230434 231275 234256 236060 241120 246235 248936 253450 254272 255200 259666 265232 266200 269120 278795 280720 286528 292820 294002 295075 296032 300304 301400 308792 311170 317840 324416 325600 331540 336400 342287 343360 349624 350900 358160 364694 366025 370040 375380 377696 385990 393976 397300 405520 407044 412918 414425 424589 425920 429200 437030 446072 447700 460868 462550 468512 469225 472120 480733 482240 492470 497872 506900 508805 510400 519332 530464 532400 541717 544301 557590 561440 576085 585640 588004 590150 592064 600608 602800 613349 617584 622340 635680 649165 651200 663080 672800 684574 694453 699248 701800 716320 729388 732050 735005 740080 750760 755392 771980 777925 787952 794600 811040 814088 825836 828850 849178 858400 874060 892144 895400 911735 921736 925100 937024 938450 944240 961466 964975 984940 995744 1013800 1017610 1032295 1038664 1060928 1064800 1083434 1088602 1092575 1115180 1119371 1122880 1152170 1171280 1176008 1180300 1201216 1205600 1226698 1231175 1235168 1244680 1267387 1271360 1298330 1326160 1345600 1369148 1388906 1393975 1398496 1403600 1428163 1432640 1458776 1464100 1470010 1480160 1501520 1543960 1555850 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5760850 5835104 5856400 5880040 5987311 6006080 6133490 6175840 6223400 6336935 6356800 6468044 6491650 6512704 6606688 6630800 6746839 6793424 6845740 6944530 6992480 7140815 7163200 7293880 7350050 7373888 7400800 7507600 7530314 7638983 7691728 7719800 7879520 8023268 8085055 8110400 8140880 8258360 8309312 8491780 8526058 8557175 8667472 8708816 8740600 8921440 8954968 9084196 9117350 9217360 9408064 9442400 9614660 9813584 9849400 9957440 10029085 10139096 10176100 10322950 10386640 10576126 10614725 10834340 10886020 10953184 11111248 11151800 11193710 11355245 11425304 11521700 11670208 11712800 11760080 11974622 12018325 12266980 12313081 12351680 12446800 12673870 12936088 12983300 13213376 13261600 13493678 13542925 13586848 13607525 13691480 13889060 13941257 13984960 14281630 14587760 14700100 14801600 15015200 15060628 15277966 15333725 15383456 15439600 15709793 15759040 15784729 16046536 16170110 16281760 16516720 16983560 17052116 17114350 17334944 17361325 17417632 17481200 17787121 17842880 17909936 18168392 18234700 18434720 18825785 18884800 19229320 19627168 19698800 20058170 20139137 20278192 20352200 20645900 20773280 21152252 21229450 21315145 21668680 21772040 21906368 22222496 22303600 22387420 22710490 22850608 23043400 23425600 23520160 23949244 24036650 24533960 24626162 24893600 24981539 25347740 25872176 25966600 26440315 26523200 26987356 27085850 27173696 27215050 27382960 27778120 27882514 27984275 28563260 29175520 29400200 29936555 30030400 30121256 30555932 30667450 30766912 30879200 31419586 31569458 31684675 32093072 32340220 32563520 33033440 33734195 33967120 34104232 34228700 34669888 34722650 34835264 34962400 35574242 35704075 35819872 36336784 36469400 36869440 37651570 38194915 38458640 39254336 39397600 40116340 40278274 40425275 40556384 40704400 41291800 41416727 41546560 42304504 42458900 42630290 43337360 43544080 44444992 44607200 44774840 45420980 45701216 46086800 46893319 47040320 47898488 48073300 49067920 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34435866256 34726403800 35444881120 36223231550 36446719760 36972677720 37378238272 37514655200 38199044180 38989369232 39131666200 39845554705 39970462400 40669945492 41266120720 42018948598 42172302425 43044832820 43967508640 44306101400 45392732792 45558399700 46215847150 46365736384 46534954400 46722797840 47748805225 48736711540 49073224640 50837431865 51395077624 51582650900 52688336800 53610382694 53806041025 53980547104 54959385800 55562246080 56740915990 57957170480 58403497300 59156284352 59372183200 60920889425 61118470688 61341530800 62415007589 62610665920 63752887528 64243847030 66266763200 67223050400 67475683880 68871732512 69452807600 70668231733 70889762240 72446463100 72893439520 73945355440 75029310400 76398088360 77978738464 78263332400 79691109410 81339890984 82532241440 84037897196 84344604850 86089665640 87935017280 88612202800 90785465584 91116799400 92431694300 93069908800 93445595680 95497610450 97473423080 101674863730 102790155248 103165301800 105047371495 105376673600 107220765388 107612082050 107961094208 109918771600 113481831980 115914340960 116806994600 118744366400 121841778850 122236941376 122683061600 124830015178 127505775056 128487694060 134025956735 134446100800 134951367760 137743465024 138905615200 141336463466 141852289975 144892926200 145786879040 147890710880 152796176720 155957476928 156526664800 159382218820 160609617575 162679781968 165064482880 168075794392 168689209700 172179331280 177224405600 181570931168 182233598800 184863388600 186891191360 190995220900 194946846160 199227773525 203349727460 205580310496 206330603600 210094742990 214441530776 215224164100 219837543200 226963663960 231104217289 231828681920 233613989200 243683557700 245366123200 249660030356 254187159325 255011550112 256975388120 268051913470 269902735520 277811230400 282672926932 283704579950 289785852400 294857104817 295781421760 305592353440 312075037945 313053329600 318764437640 321219235150 325359563936 336151588784 337378419400 344358662560 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1554701098126 1560375189725 1593822188200 1626797819680 1680757943920 1715532246208 1721793312800 1766705793325 1815709311680 1848833738312 1949468461600 1997280242848 2033497274600 2055803104960 2100947429900 2144415307760 2261383415456 2269636639600 2311042172890 2358856838536 2496600303560 2550115501120 2569753881200 2680519134700 2699027355200 2826729269320 2948571048170 3055923534400 3109402196252 3120750379450 3187644376400 3253595639360 3361515887840 3443586625600 3533411586650 3697667476624 3886752745315 3898936923200 3994560485696 4066994549200 4201894859800 4288830615520 4522766830912 4539273279200 4622084345780 4717713677072 4993200607120 5139507762400 5361038269400 5653458538640 5777605432225 5897142096340 6218804392504 6241500758900 6375288752800 6723031775680 7066823173300 7371427620425 7395334953248 7773505490630 8133989098400 8403789719600 8550856039693 8577661231040 9078546558400 9244168691560 9435427354144 9986401214240 10279015524800 10722076538800 11306917077280 11555210864450 11794284192680 12437608785008 12483001517800 12750577505600 14133646346600 14742855240850 14790669906496 15547010981260 16267978196800 16807579439200 17101712079386 18488337383120 18870854708288 19433763726575 19972802428480 21444153077600 22613834154560 23110421728900 23588568385360 24875217570016 24966003035600 28267292693200 29485710481700 31094021962520 33615158878400 34203424158772 36976674766240 38867527453150 42754280198465 42888306155200 46220843457800 47177136770720 49750435140032 49932006071200 56534585386400 58971420963400 62188043925040 68406848317544 73953349532480 77735054906300 85508560396930 92441686915600 94354273541440 99864012142400 113069170772800 117942841926800 124376087850080 136813696635088 155470109812600 171017120793860 184883373831200 213771400992325 235885683853600 248752175700160 273627393270176 310940219625200 342034241587720 369766747662400 427542801984650 471771367707200 547254786540352 621880439250400 684068483175440 855085603969300 1243760878500800 1368136966350880 1710171207938600 2736273932701760 3420342415877200 6840684831754400 13681369663508800
- Sum of all divisors σ(n): 39678068218626110
- Sum of proper divisors (its aliquot sum) s(n): 25996698555117310
- 13681369663508800 is an abundant number, because the sum of its proper divisors (25996698555117310) is greater than itself. Its abundance is 12315328891608510
Bases of 13681369663508800
- Binary: 1100001001101100100010000110101101010110010001010000002
- Hexadecimal: 0x309B221AD59140
- Base-36: 3QPN2GF5MPS
Squares and roots of 13681369663508800
- 13681369663508800 squared (136813696635088002) is 187179875869578895338327677440000
- 13681369663508800 cubed (136813696635088003) is 2560877075341399564109290149229006625001472000000
-
The
square root of 13681369663508800 is 116967387.1791141619 -
The
cube root of 13681369663508800 is 239171.7378391353
Scales and comparisons
How big is 13681369663508800?- 13,681,369,663,508,800 seconds is equal to 435,025,236 years, 2 weeks, 2 days, 5 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,681,369,663,508,800 would take you about one billion, three hundred five million, seventy-five thousand, seven hundred eight 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 13681369663508800 cubic inches would be around 19931 feet tall.
Recreational maths with 13681369663508800
- 13681369663508800 backwards is 00880536696318631
- The number of decimal digits it has is: 17
- The sum of 13681369663508800's digits is 73
- More coming soon!
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"Number 13681369663508800 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13681369663508800 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13681369663508800/
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Numbermatics. 2024. "Number 13681369663508800 - Facts about the integer". https://numbermatics.com/n/13681369663508800/
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