13006559314800
13,006,559,314,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13006559314800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
13006559314800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13006559314800:
24 × 32 × 52 × 17 × 43 × 757 × 6529
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 43 × 757 × 6529)See below for interesting mathematical facts about the number 13006559314800 from the Numbermatics database.
Names of 13006559314800
- Cardinal: 13006559314800 can be written as Thirteen trillion, six billion, five hundred fifty-nine million, three hundred fourteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30065593148 × 1013
Factors of 13006559314800
Divisors of 13006559314800
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 34 36 40 43 45 48 50 51 60 68 72 75 80 85 86 90 100 102 120 129 136 144 150 153 170 172 180 200 204 215 225 240 255 258 272 300 306 340 344 360 387 400 408 425 430 450 510 516 600 612 645 680 688 720 731 757 765 774 816 850 860 900 1020 1032 1075 1200 1224 1275 1290 1360 1462 1514 1530 1548 1700 1720 1800 1935 2040 2064 2150 2193 2271 2448 2550 2580 2924 3028 3060 3096 3225 3400 3440 3600 3655 3785 3825 3870 4080 4300 4386 4542 5100 5160 5848 6056 6120 6192 6450 6529 6579 6800 6813 7310 7570 7650 7740 8600 8772 9084 9675 10200 10320 10965 11355 11696 12112 12240 12869 12900 13058 13158 13626 14620 15140 15300 15480 17200 17544 18168 18275 18925 19350 19587 20400 21930 22710 25738 25800 26116 26316 27252 29240 30280 30600 30960 32551 32645 32895 34065 35088 36336 36550 37850 38607 38700 39174 43860 45420 51476 51600 52232 52632 54504 54825 56775 58480 58761 60560 61200 64345 65102 65290 65790 68130 73100 75700 77214 77400 78348 87720 90840 97653 97935 102952 104464 105264 109008 109650 110993 113550 115821 117522 128690 130204 130580 131580 136260 146200 151400 154428 154800 156696 162755 163225 164475 170325 175440 181680 193035 195306 195870 205904 219300 221986 227100 231642 235044 257380 260408 261160 263160 272520 280747 292400 292959 293805 302800 308856 313392 321725 325510 326450 328950 332979 340650 386070 390612 391740 438600 443972 454200 463284 470088 488265 489675 514760 520816 522320 526320 545040 553367 554965 561494 579105 585918 587610 617712 643450 651020 652900 657900 665958 681300 772140 781224 783480 813775 842241 877200 887944 908400 926568 940176 965175 976530 979350 998937 1029520 1106734 1109930 1122988 1158210 1171836 1175220 1286900 1302040 1305800 1315800 1331916 1362600 1403735 1464795 1469025 1544280 1562448 1566960 1627550 1660101 1664895 1684482 1775888 1853136 1930350 1953060 1958700 1997874 2213468 2219860 2245976 2316420 2343672 2350440 2441325 2526723 2573800 2604080 2611600 2631600 2663832 2725200 2766835 2774825 2807470 2895525 2929590 2938050 3088560 3255100 3320202 3329790 3368964 3860700 3906120 3917400 3995748 4211205 4426936 4439720 4491952 4632840 4687344 4700880 4772699 4882650 4942453 4980303 4994685 5053446 5147600 5327664 5533670 5549650 5614940 5791050 5859180 5876100 6510200 6640404 6659580 6737928 7018675 7323975 7721400 7812240 7834800 7991496 8300505 8324475 8422410 8853872 8879440 9265680 9545398 9765300 9884906 9960606 9989370 10106892 11067340 11099300 11229880 11582100 11718360 11752200 12633615 13020400 13280808 13319160 13475856 13834175 14037350 14318097 14647950 14827359 15442800 15982992 16601010 16648950 16844820 19090796 19530600 19769812 19921212 19978740 20213784 21056025 22134680 22198600 22459760 23164200 23436720 23504400 23863495 24712265 24901515 24973425 25267230 26561616 26638320 27668350 28074700 28636194 29295900 29654718 33202020 33297900 33689640 38181592 39061200 39539624 39842424 39957480 40427568 41502525 42112050 42954291 44269360 44397200 44482077 46328400 47726990 49424530 49803030 49946850 50534460 55336700 56149400 57272388 58591800 59309436 63168075 66404040 66595800 67379280 71590485 74136795 76363184 79079248 79684848 79914960 83005050 84021701 84224100 85908582 88964154 95453980 98849060 99606060 99893700 101068920 110673400 112298800 114544776 117183600 118618872 119317475 123561325 124507575 126336150 132808080 133191600 143180970 148273590 166010100 168043402 168448200 171817164 177928308 190907960 197698120 199212120 199787400 202137840 212525479 214771455 221346800 222410385 229089552 237237744 238634950 247122650 249015150 252065103 252672300 286361940 296547180 332020200 336086804 336896400 343634328 355856616 357952425 370683975 381815920 395396240 398424240 399574800 420108505 425050958 429542910 444820770 477269900 494245300 498030300 504130206 505344600 572723880 593094360 637576437 664040400 672173608 687268656 711713232 715904850 741367950 756195309 840217010 850101916 859085820 889641540 954539800 988490600 996060600 1008260412 1010689200 1062627395 1073857275 1112051925 1145447760 1186188720 1260325515 1275152874 1344347216 1431809700 1482735900 1512390618 1680434020 1700203832 1718171640 1779283080 1909079600 1912729311 1976981200 1992121200 2016520824 2100542525 2125254790 2147714550 2224103850 2520651030 2550305748 2863619400 2965471800 3024781236 3187882185 3360868040 3400407664 3436343280 3558566160 3612933143 3780976545 3825458622 4033041648 4201085050 4250509580 4295429100 4448207700 5041302060 5100611496 5313136975 5727238800 5930943600 6049562472 6301627575 6375764370 6721736080 7225866286 7561953090 7650917244 8402170100 8501019160 8590858200 8896415400 9563646555 10082604120 10201222992 10626273950 10838799429 12099124944 12603255150 12751528740 14451732572 15123906180 15301834488 15939410925 16804340200 17002038320 17181716400 17792830800 18064665715 18904882725 19127293110 20165208240 21252547900 21677598858 25206510300 25503057480 28903465144 30247812360 30603668976 31878821850 32516398287 33608680400 36129331430 37809765450 38254586220 42505095800 43355197716 47818232775 50413020600 51006114960 54193997145 57806930288 60495624720 63757643700 65032796574 72258662860 75619530900 76509172440 85010191600 86710395432 90323328575 95636465550 100826041200 108387994290 127515287400 130065593148 144517325720 151239061800 153018344880 162581991435 173420790864 180646657150 191272931100 216775988580 255030574800 260131186296 270969985725 289034651440 302478123600 325163982870 361293314300 382545862200 433551977160 520262372592 541939971450 650327965740 722586628600 765091724400 812909957175 867103954320 1083879942900 1300655931480 1445173257200 1625819914350 2167759885800 2601311862960 3251639828700 4335519771600 6503279657400 13006559314800
- Sum of all divisors σ(n): 48974984641440
- Sum of proper divisors (its aliquot sum) s(n): 35968425326640
- 13006559314800 is an abundant number, because the sum of its proper divisors (35968425326640) is greater than itself. Its abundance is 22961866011840
Bases of 13006559314800
- Binary: 101111010100010100110101100100000011011100002
- Hexadecimal: 0xBD453590370
- Base-36: 4LZ4PLH80
Squares and roots of 13006559314800
- 13006559314800 squared (130065593148002) is 169170585209410645499040000
- 13006559314800 cubed (130065593148003) is 2200327250845627139833819406457792000000
-
The
square root of 13006559314800 is 3606460.7740553615 -
The
cube root of 13006559314800 is 23517.3008646851
Scales and comparisons
How big is 13006559314800?- 13,006,559,314,800 seconds is equal to 413,568 years, 18 weeks, 2 days, 23 hours.
-
To count from 1 to 13,006,559,314,800 would take you about one million, thirty-three thousand, nine hundred twenty 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 13006559314800 cubic inches would be around 1959.8 feet tall.
Recreational maths with 13006559314800
- 13006559314800 backwards is 00841395560031
- 13006559314800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13006559314800's digits is 45
- More coming soon!
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