13395625841664
13,395,625,841,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 13395625841664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1056 divisors.
13395625841664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 13395625841664:
210 × 33 × 112 × 41 × 127 × 769
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 41 × 127 × 769)See below for interesting mathematical facts about the number 13395625841664 from the Numbermatics database.
Names of 13395625841664
- Cardinal: 13395625841664 can be written as Thirteen trillion, three hundred ninety-five billion, six hundred twenty-five million, eight hundred forty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3395625841664 × 1013
Factors of 13395625841664
Divisors of 13395625841664
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 41 44 48 54 64 66 72 82 88 96 99 108 121 123 127 128 132 144 164 176 192 198 216 242 246 254 256 264 288 297 328 352 363 369 381 384 396 432 451 484 492 508 512 528 576 594 656 704 726 738 762 768 769 792 864 902 968 984 1016 1024 1056 1089 1107 1143 1152 1188 1312 1353 1397 1408 1452 1476 1524 1536 1538 1584 1728 1804 1936 1968 2032 2112 2178 2214 2286 2304 2307 2376 2624 2706 2794 2816 2904 2952 3048 3072 3076 3168 3267 3429 3456 3608 3872 3936 4059 4064 4191 4224 4356 4428 4572 4608 4614 4752 4961 5207 5248 5412 5588 5632 5808 5904 6096 6152 6336 6534 6858 6912 6921 7216 7744 7872 8118 8128 8382 8448 8459 8712 8856 9144 9216 9228 9504 9922 10414 10496 10824 11176 11264 11616 11808 12177 12192 12304 12573 12672 13068 13716 13824 13842 14432 14883 15367 15488 15621 15744 16236 16256 16764 16896 16918 17424 17712 18288 18456 19008 19844 20763 20828 20992 21648 22352 23232 23616 24354 24384 24608 25146 25344 25377 26136 27432 27648 27684 28864 29766 30734 30976 31242 31488 31529 32472 32512 33528 33792 33836 34848 35424 36576 36912 37719 38016 39688 41526 41656 41984 43296 44649 44704 46101 46464 46863 47232 48708 48768 49216 50292 50688 50754 52272 54864 55368 57277 57728 59532 61468 61952 62484 62976 63058 64944 65024 67056 67672 69696 70848 73152 73824 75438 76032 76131 79376 83052 83312 86592 89298 89408 92202 92928 93049 93726 94464 94587 97416 97536 97663 98432 100584 101376 101508 104544 109728 110736 114554 115456 119064 122936 123904 124968 125952 126116 129888 130048 133947 134112 135344 138303 139392 140589 141696 146304 147648 150876 152064 152262 158752 166104 166624 171831 173184 178596 178816 184404 185856 186098 187452 188928 189174 194832 195072 195326 196864 201168 203016 209088 219456 221472 228393 229108 230912 238128 245872 249936 252232 259776 267894 268224 270688 276606 278784 279147 281178 283392 283761 292608 292989 295296 301752 304128 304524 317504 332208 333248 343662 346368 346819 357192 357632 368808 371712 372196 374904 377856 378348 389664 390144 390652 393728 402336 406032 414909 418176 438912 442944 456786 458216 461824 476256 491744 499872 504464 515493 519552 535788 536448 541376 553212 557568 558294 562356 566784 567522 585216 585978 590592 603504 609048 630047 635008 664416 666496 687324 692736 693638 714384 715264 737616 744392 749808 756696 779328 781304 787456 804672 812064 829818 836352 837441 851283 877824 878967 885888 913572 916432 952512 983488 999744 1008928 1030986 1039104 1040457 1071576 1072896 1074293 1082752 1106424 1115136 1116588 1124712 1133568 1135044 1170432 1171956 1181184 1207008 1218096 1260094 1270016 1328832 1332992 1374648 1385472 1387276 1428768 1430528 1475232 1488784 1499616 1513392 1546479 1558656 1562608 1609344 1624128 1659636 1672704 1674882 1702566 1755648 1757934 1771776 1827144 1832864 1890141 1905024 1966976 1999488 2017856 2061972 2078208 2080914 2143152 2145792 2148586 2165504 2212848 2233176 2249424 2270088 2343912 2362368 2414016 2436192 2512323 2520188 2540032 2636901 2657664 2665984 2749296 2774552 2857536 2950464 2977568 2999232 3026784 3092958 3117312 3121371 3125216 3218688 3222879 3248256 3319272 3345408 3349764 3405132 3511296 3515868 3543552 3654288 3665728 3780282 3810048 3815009 3933952 3998976 4004183 4035712 4123944 4156416 4161828 4286304 4291584 4297172 4331008 4425696 4466352 4498848 4540176 4687824 4828032 4872384 5024646 5040376 5080064 5273802 5315328 5331968 5498592 5549104 5670423 5715072 5900928 5955136 5998464 6053568 6185916 6234624 6242742 6250432 6437376 6445758 6496512 6638544 6699528 6810264 7031736 7087104 7308576 7331456 7560564 7620096 7630018 7867904 7997952 8008366 8071424 8247888 8323656 8572608 8594344 8662016 8851392 8932704 8997696 9080352 9364113 9375648 9656064 9668637 9744768 10049292 10080752 10547604 10630656 10997184 11098208 11340846 11430144 11445027 11801856 11817223 11910272 11996928 12012549 12107136 12371832 12469248 12485484 12500864 12874752 12891516 12993024 13277088 13399056 13620528 14063472 14617152 14662912 15121128 15240192 15260036 15735808 15995904 16016732 16142848 16495776 16647312 17011269 17145216 17188688 17702784 17865408 17995392 18160704 18728226 18751296 19312128 19337274 19489536 20098584 20161504 21095208 21261312 21994368 22196416 22681692 22860288 22890054 23603712 23634446 23820544 23993856 24025098 24214272 24743664 24970968 25001728 25783032 25986048 26554176 26798112 27241056 28126944 29005911 29234304 29325824 30242256 30520072 32033464 32285696 32991552 33294624 34022538 34290432 34335081 34377376 35405568 35451669 35730816 35990784 36037647 36321408 37456452 37502592 38624256 38674548 38979072 40197168 40323008 42190416 43988736 44046013 44392832 45363384 45720576 45780108 47207424 47268892 47641088 47987712 48050196 48428544 49487328 49941936 50003456 51566064 53108352 53596224 54482112 56253888 58011822 58468608 58651648 60484512 61040144 64066928 65983104 66589248 68045076 68580864 68670162 68754752 70811136 70903338 71461632 71981568 72075294 72642816 74912904 75005184 77349096 77958144 80394336 80646016 84380832 87977472 88092026 88785664 90726768 91560216 94537784 95282176 96100392 96857088 98974656 99883872 100006912 103005243 103132128 106216704 106355007 107192448 108112941 108964224 112507776 116023644 116937216 120969024 122080288 128133856 131966208 132138039 133178496 136090152 137161728 137340324 137509504 141622272 141806676 142923264 143963136 144150588 145285632 149825808 150010368 154698192 160788672 161292032 168761664 175954944 176184052 177571328 181453536 183120432 189075568 192200784 197949312 199767744 206010486 206264256 212433408 212710014 214384896 216225882 217928448 225015552 232047288 233874432 241938048 244160576 256267712 263932416 264276078 266356992 272180304 274680648 275019008 283613352 285846528 288301176 290571264 299651616 300020736 309396384 319065021 321577344 322584064 337523328 352368104 355142656 362907072 366240864 378151136 384401568 395898624 396414117 399535488 412020972 412528512 424866816 425420028 428769792 432451764 435856896 450031104 464094576 483876096 484506143 488321152 512535424 527864832 528552156 532713984 544360608 549361296 550038016 567226704 576602352 599303232 618792768 638130042 643154688 645168128 675046656 704736208 725814144 732481728 756302272 768803136 791797248 792828234 799070976 824041944 825057024 850840056 857539584 864903528 871713792 900062208 928189152 967752192 969012286 976642304 1025070848 1057104312 1065427968 1088721216 1098722592 1100076032 1134453408 1153204704 1189242351 1198606464 1237585536 1276260084 1286309376 1350093312 1409472416 1451628288 1453518429 1464963456 1512604544 1537606272 1583594496 1585656468 1598141952 1648083888 1650114048 1701680112 1729807056 1856378304 1935504384 1938024572 1953284608 2050141696 2114208624 2177442432 2197445184 2268906816 2306409408 2378484702 2397212928 2475171072 2552520168 2572618752 2700186624 2818944832 2903256576 2907036858 2929926912 3025209088 3075212544 3171312936 3196283904 3296167776 3300228096 3403360224 3459614112 3712756608 3876049144 3906569216 4100283392 4228417248 4354884864 4360555287 4394890368 4537813632 4612818816 4756969404 4794425856 4950342144 5105040336 5637889664 5806513152 5814073716 5859853824 6050418176 6150425088 6342625872 6592335552 6806720448 6919228224 7425513216 7752098288 8456834496 8709769728 8721110574 8789780736 9075627264 9225637632 9513938808 9588851712 9900684288 10210080672 11275779328 11628147432 11719707648 12100836352 12300850176 12685251744 13081665861 13184671104 13613440896 13838456448 14851026432 15504196576 16913668992 17419539456 17442221148 17579561472 18151254528 18451275264 19027877616 20420161344 22551558656 23256294864 25370503488 26163331722 26369342208 27226881792 27676912896 29702052864 31008393152 33827337984 34884442296 35159122944 36302509056 36902550528 38055755232 40840322688 45103117312 46512589728 50741006976 52326663444 52738684416 54453763584 55353825792 62016786304 67654675968 69768884592 76111510464 81680645376 93025179456 101482013952 104653326888 105477368832 108907527168 110707651584 124033572608 135309351936 139537769184 152223020928 163361290752 186050358912 202964027904 209306653776 248067145216 279075538368 304446041856 326722581504 372100717824 405928055808 418613307552 496134290432 558151076736 608892083712 744201435648 837226615104 1116302153472 1217784167424 1488402871296 1674453230208 2232604306944 3348906460416 4465208613888 6697812920832 13395625841664
- Sum of all divisors σ(n): 45079538380800
- Sum of proper divisors (its aliquot sum) s(n): 31683912539136
- 13395625841664 is an abundant number, because the sum of its proper divisors (31683912539136) is greater than itself. Its abundance is 18288286697472
Bases of 13395625841664
- Binary: 110000101110111010011000010100010100000000002
- Hexadecimal: 0xC2EE9851400
- Base-36: 4QXV5REO0
Squares and roots of 13395625841664
- 13395625841664 squared (133956258416642) is 179442791689856348398288896
- 13395625841664 cubed (133956258416643) is 2403748497460969771864082310777425362944
-
The
square root of 13395625841664 is 3660003.5302802647 -
The
cube root of 13395625841664 is 23749.4926379749
Scales and comparisons
How big is 13395625841664?- 13,395,625,841,664 seconds is equal to 425,939 years, 24 weeks, 1 day, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 13,395,625,841,664 would take you about one million, sixty-four thousand, eight hundred forty-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 13395625841664 cubic inches would be around 1979.1 feet tall.
Recreational maths with 13395625841664
- 13395625841664 backwards is 46614852659331
- The number of decimal digits it has is: 14
- The sum of 13395625841664's digits is 63
- More coming soon!
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The information we have on file for 13395625841664 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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