13945560138432000
13,945,560,138,432,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13945560138432000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
13945560138432000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13945560138432000:
29 × 32 × 53 × 132 × 1093 × 131071
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 1093 × 131071)See below for interesting mathematical facts about the number 13945560138432000 from the Numbermatics database.
Names of 13945560138432000
- Cardinal: 13945560138432000 can be written as Thirteen quadrillion, nine hundred forty-five trillion, five hundred sixty billion, one hundred thirty-eight million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.3945560138432 × 1016
Factors of 13945560138432000
Divisors of 13945560138432000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 250 256 260 288 300 312 320 325 338 360 375 384 390 400 416 450 468 480 500 507 512 520 576 585 600 624 640 650 676 720 750 768 780 800 832 845 900 936 960 975 1000 1014 1040 1093 1125 1152 1170 1200 1248 1280 1300 1352 1440 1500 1521 1536 1560 1600 1625 1664 1690 1800 1872 1920 1950 2000 2028 2080 2186 2250 2304 2340 2400 2496 2535 2560 2600 2704 2880 2925 3000 3042 3120 3200 3250 3279 3328 3380 3600 3744 3840 3900 4000 4056 4160 4225 4372 4500 4608 4680 4800 4875 4992 5070 5200 5408 5465 5760 5850 6000 6084 6240 6400 6500 6558 6656 6760 7200 7488 7605 7680 7800 8000 8112 8320 8450 8744 9000 9360 9600 9750 9837 9984 10140 10400 10816 10930 11520 11700 12000 12168 12480 12675 12800 13000 13116 13520 14209 14400 14625 14976 15210 15600 16000 16224 16395 16640 16900 17488 18000 18720 19200 19500 19674 19968 20280 20800 21125 21632 21860 23040 23400 24000 24336 24960 25350 26000 26232 27040 27325 28418 28800 29250 29952 30420 31200 32000 32448 32790 33280 33800 34976 36000 37440 38025 38400 39000 39348 40560 41600 42250 42627 43264 43720 46800 48000 48672 49185 49920 50700 52000 52464 54080 54650 56836 57600 58500 59904 60840 62400 63375 64000 64896 65580 67600 69952 71045 72000 74880 76050 78000 78696 81120 81975 83200 84500 85254 86528 87440 93600 96000 97344 98370 99840 101400 104000 104928 108160 109300 113672 115200 117000 121680 124800 126750 127881 129792 131071 131160 135200 136625 139904 142090 144000 149760 152100 156000 157392 162240 163950 166400 169000 170508 174880 184717 187200 190125 192000 194688 196740 202800 208000 209856 213135 216320 218600 227344 234000 243360 245925 249600 253500 255762 259584 262142 262320 270400 273250 279808 284180 288000 299520 304200 312000 314784 324480 327900 338000 341016 349760 355225 369434 374400 380250 389376 393213 393480 405600 409875 416000 419712 426270 432640 437200 454688 468000 486720 491850 499200 507000 511524 524284 524640 540800 546500 554151 559616 568360 576000 608400 624000 629568 639405 648960 655355 655800 676000 682032 699520 710450 738868 748800 760500 778752 786426 786960 811200 819750 832000 839424 852540 874400 909376 923585 936000 973440 983700 1014000 1023048 1048568 1049280 1065675 1081600 1093000 1108302 1136720 1179639 1216800 1229625 1248000 1259136 1278810 1297920 1310710 1311600 1352000 1364064 1399040 1420900 1477736 1497600 1521000 1572852 1573920 1622400 1639500 1662453 1678848 1703923 1705080 1748800 1776125 1818752 1847170 1872000 1946880 1966065 1967400 2028000 2046096 2097136 2098560 2131350 2163200 2186000 2216604 2273440 2359278 2433600 2459250 2496000 2518272 2557620 2621420 2623200 2704000 2728128 2770755 2798080 2841800 2955472 3042000 3145704 3147840 3197025 3244800 3276775 3279000 3324906 3407846 3410160 3497600 3552250 3637504 3694340 3744000 3893760 3932130 3934800 4056000 4092192 4194272 4197120 4262700 4372000 4433208 4546880 4617925 4718556 4867200 4918500 5036544 5111769 5115240 5242840 5246400 5328375 5408000 5456256 5541510 5683600 5898195 5910944 6084000 6291408 6295680 6394050 6489600 6553550 6558000 6649812 6815692 6820320 6995200 7104500 7275008 7388680 7488000 7864260 7869600 8112000 8184384 8312265 8388544 8394240 8519615 8525400 8744000 8866416 9093760 9235850 9437112 9734400 9830325 9837000 10223538 10230480 10485680 10492800 10656750 10816000 10912512 11083020 11367200 11796390 11821888 12168000 12582816 12591360 12788100 13107100 13116000 13299624 13631384 13640640 13853775 13990400 14209000 14777360 15335307 15728520 15739200 15985125 16224000 16368768 16383875 16624530 16777088 17039230 17050800 17488000 17732832 18187520 18471700 18874224 19468800 19660650 19674000 20447076 20460960 20971360 20985600 21313500 21825024 22150999 22166040 22734400 23089625 23592780 23643776 24336000 25165632 25182720 25558845 25576200 26214200 26232000 26599248 27262768 27281280 27707550 28418000 29490975 29554720 30670614 31457040 31478400 31970250 32448000 32737536 32767750 33249060 33554176 34078460 34101600 34976000 35465664 36375040 36943400 37748448 39321300 39348000 40894152 40921920 41561325 41942720 41971200 42598075 42627000 44301998 44332080 45468800 46179250 47185560 47287552 48672000 49151625 50331264 51117690 51152400 52428400 52464000 53198496 54525536 54562560 55415100 56836000 58981950 59109440 61341228 62914080 62956800 63940500 65475072 65535500 66452997 66498120 67108352 68156920 68203200 69268875 69952000 70931328 73886800 75496896 76676535 78642600 78696000 81788304 81843840 83122650 83885440 85196150 85254000 88603996 88664160 90937600 92358500 94371120 94575104 97344000 98303250 100662528 102235380 102304800 104856800 104928000 106396992 109051072 109125120 110754995 110830200 113672000 117963900 118218880 122682456 125828160 125913600 127794225 127881000 131071000 132905994 132996240 136313840 136406400 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13290599400 13299624000 13631384000 13753017888 14176639360 14326060300 14899102712 15099379200 15335307000 15948719280 16357660800 16613249250 16761490551 17011967232 17191272360 17720799200 17732832000 17907575375 18337357184 18623878390 18874224000 19629192960 19935899100 20447076000 20629526832 21264959040 21279398400 21489090450 21810214400 22150999000 22348654068 22921696480 24211041907 24536491200 24919873875 25165632000 25517950848 25786908540 26581198800 26599248000 27262768000 27506035776 27935817585 28353278720 28652120600 29798205424 30670614000 31897438560 32233635675 32715321600 33226498500 33522981102 34023934464 34382544720 35441598400 35465664000 35815150750 36674714368 37247756780 37748448000 39258385920 39871798200 40894152000 41259053664 42529918080 42978180900 44301998000 44697308136 45843392960 46559695975 48422083814 49072982400 49839747750 51035901696 51573817080 53162397600 53198496000 53722726125 54525536000 55012071552 55871635170 56706557440 57304241200 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279358175850 283532787200 286521206000 290532502884 297982054240 318974385600 322336356750 327153216000 330072429312 335229811020 343825447200 354415984000 357578465088 363165628605 366747143680 372477567800 387376670512 398717982000 412590536640 419037263775 425299180800 429781809000 435798754326 446973081360 458433929600 465596959750 476771286784 484220838140 490729824000 510359016960 515738170800 531623976000 536367697632 550120715520 558716351700 573042412000 581065005768 595964108480 605276047675 637948771200 644672713500 660144858624 670459622040 687650894400 698395439625 708831968000 715156930176 726331257210 744955135600 774753341024 797435964000 825181073280 838074527550 850598361600 859563618000 871597508652 893946162720 916867859200 931193919500 953542573568 968441676280 981459648000 1031476341600 1063247952000 1072735395264 1089496885815 1100241431040 1117432703400 1146084824000 1162130011536 1191928216960 1210552095350 1275897542400 1289345427000 1340919244080 1375301788800 1396790879250 1417663936000 1430313860352 1452662514420 1489910271200 1549506682048 1594871928000 1650362146560 1676149055100 1719127236000 1743195017304 1787892325440 1815828143025 1833735718400 1862387839000 1936883352560 2062952683200 2095186318875 2126495904000 2145470790528 2178993771630 2234865406800 2292169648000 2324260023072 2383856433920 2421104190700 2551795084800 2578690854000 2681838488160 2750603577600 2793581758500 2860627720704 2905325028840 2979820542400 3026380238375 3099013364096 3189743856000 3300724293120 3352298110200 3438254472000 3486390034608 3575784650880 3631656286050 3724775678000 3873766705120 4125905366400 4190372637750 4252991808000 4290941581056 4357987543260 4469730813600 4584339296000 4648520046144 4767712867840 4842208381400 5157381708000 5363676976320 5447484429075 5501207155200 5587163517000 5810650057680 5959641084800 6052760476750 6198026728192 6379487712000 6704596220400 6876508944000 6972780069216 7151569301760 7263312572100 7449551356000 7747533410240 8251810732800 8380745275500 8581883162112 8715975086520 8939461627200 9079140715125 9168678592000 9297040092288 9684416762800 10314763416000 10727353952640 10894968858150 11174327034000 11621300115360 11919282169600 12105520953500 12396053456384 12758975424000 13409192440800 13753017888000 13945560138432 14303138603520 14526625144200 14899102712000 15495066820480 16503621465600 16761490551000 17431950173040 17878923254400 18158281430250 18594080184576 19368833525600 20629526832000 21454707905280 21789937716300 22348654068000 23242600230720 23838564339200 24211041907000 26818384881600 27237422145375 27506035776000 27891120276864 29053250288400 29798205424000 30990133640960 33522981102000 34863900346080 35757846508800 36316562860500 37188160369152 38737667051200 41259053664000 42909415810560 43579875432600 44697308136000 46485200461440 48422083814000 53636769763200 54474844290750 55782240553728 58106500576800 59596410848000 61980267281920 67045962204000 69727800692160 71515693017600 72633125721000 77475334102400 82518107328000 87159750865200 89394616272000 92970400922880 96844167628000 107273539526400 108949688581500 111564481107456 116213001153600 119192821696000 134091924408000 139455601384320 145266251442000 154950668204800 174319501730400 178789232544000 185940801845760 193688335256000 214547079052800 217899377163000 232426002307200 268183848816000 278911202768640 290532502884000 309901336409600 348639003460800 357578465088000 387376670512000 435798754326000 464852004614400 536367697632000 557822405537280 581065005768000 697278006921600 774753341024000 871597508652000 929704009228800 1072735395264000 1162130011536000 1394556013843200 1549506682048000 1743195017304000 2324260023072000 2789112027686400 3486390034608000 4648520046144000 6972780069216000 13945560138432000
- Sum of all divisors σ(n): 54440477076750336
- Sum of proper divisors (its aliquot sum) s(n): 40494916938318336
- 13945560138432000 is an abundant number, because the sum of its proper divisors (40494916938318336) is greater than itself. Its abundance is 26549356799886336
Bases of 13945560138432000
- Binary: 1100011000101101101001101111100011111010111110000000002
- Hexadecimal: 0x318B69BE3EBE00
- Base-36: 3TBADVUQ9S0
Squares and roots of 13945560138432000
- 13945560138432000 squared (139455601384320002) is 194478647574623543003418624000000
- 13945560138432000 cubed (139455601384320003) is 2712113675392835237417040931158686957568000000000
-
The
square root of 13945560138432000 is 118091321.1816685535 -
The
cube root of 13945560138432000 is 240701.4210616589
Scales and comparisons
How big is 13945560138432000?- 13,945,560,138,432,000 seconds is equal to 443,425,675 years, 49 weeks, 3 days, 16 hours.
-
To count from 1 to 13,945,560,138,432,000 would take you about one billion, three hundred thirty million, two hundred seventy-seven thousand and twenty-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 13945560138432000 cubic inches would be around 20058.5 feet tall.
Recreational maths with 13945560138432000
- 13945560138432000 backwards is 00023483106554931
- The number of decimal digits it has is: 17
- The sum of 13945560138432000's digits is 54
- More coming soon!
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"Number 13945560138432000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 13945560138432000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13945560138432000/
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The information we have on file for 13945560138432000 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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