135364737021696
135,364,737,021,696 is an even composite number composed of six prime numbers multiplied together.
What does the number 135364737021696 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
135364737021696 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 135364737021696:
28 × 32 × 73 × 13 × 612 × 3541
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 13 × 61 × 61 × 3541)See below for interesting mathematical facts about the number 135364737021696 from the Numbermatics database.
Names of 135364737021696
- Cardinal: 135364737021696 can be written as One hundred thirty-five trillion, three hundred sixty-four billion, seven hundred thirty-seven million, twenty-one thousand, six hundred ninety-six.
Scientific notation
- Scientific notation: 1.35364737021696 × 1014
Factors of 135364737021696
Divisors of 135364737021696
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 61 63 64 72 78 84 91 96 98 104 112 117 122 126 128 144 147 156 168 182 183 192 196 208 224 234 244 252 256 273 288 294 312 336 343 364 366 384 392 416 427 441 448 468 488 504 546 549 576 588 624 637 672 686 728 732 768 784 793 819 832 854 882 896 936 976 1008 1029 1092 1098 1152 1176 1248 1274 1281 1344 1372 1456 1464 1568 1586 1638 1664 1708 1764 1792 1872 1911 1952 2016 2058 2184 2196 2304 2352 2379 2496 2548 2562 2688 2744 2912 2928 2989 3087 3136 3172 3276 3328 3416 3528 3541 3721 3744 3822 3843 3904 4032 4116 4368 4392 4459 4704 4758 4992 5096 5124 5376 5488 5551 5733 5824 5856 5978 6174 6272 6344 6552 6832 7056 7082 7137 7442 7488 7644 7686 7808 8064 8232 8736 8784 8918 8967 9408 9516 9984 10192 10248 10623 10976 11102 11163 11466 11648 11712 11956 12348 12544 12688 13104 13377 13664 14112 14164 14274 14884 14976 15288 15372 15616 16128 16464 16653 17472 17568 17836 17934 18816 19032 20384 20496 20923 21246 21952 22204 22326 22932 23296 23424 23912 24696 24787 25376 26047 26208 26754 26901 27328 28224 28328 28548 29768 29952 30576 30744 31869 32928 33306 33489 34944 35136 35672 35868 37632 38064 38857 40131 40768 40992 41846 42492 43904 44408 44652 45864 46033 46848 47824 48373 49392 49574 49959 50752 52094 52416 53508 53802 54656 56448 56656 57096 59536 61152 61488 62769 63738 65856 66612 66978 69888 70272 71344 71736 74361 76128 77714 78141 80262 81536 81984 83692 84984 87808 88816 89304 91728 92066 95648 96746 98784 99148 99918 101504 104188 104832 107016 107604 109312 112896 113312 114192 116571 119072 122304 122976 125538 127476 131712 133224 133956 138099 140544 142688 143472 145119 148722 152256 155428 156282 160524 163072 163968 167384 169968 173509 177632 178608 182329 183456 184132 188307 191296 193492 197568 198296 199836 203008 208376 209664 214032 215208 216001 223083 226624 228384 233142 234423 238144 244608 245952 251076 254952 263424 266448 267912 271999 276198 285376 286944 290238 297444 304512 310856 312564 321048 322231 327936 334768 338611 339936 347018 349713 355264 357216 364658 366912 368264 376614 382592 386984 395136 396592 399672 414297 416752 428064 430416 432002 435357 446166 453248 456768 466284 468846 476288 489216 491904 502152 509904 520527 532896 535824 543998 546987 552396 570752 573888 580476 594888 609024 621712 625128 642096 644462 648003 669536 677222 679872 694036 699426 710528 714432 729316 733824 736528 753228 765184 773968 790272 793184 799344 815997 828594 833504 856128 860832 864004 870714 892332 906496 913536 932568 937692 952576 966693 983808 1004304 1015833 1019808 1041054 1065792 1071648 1087996 1093974 1104792 1141504 1147776 1160952 1189776 1214563 1243424 1250256 1276303 1284192 1288924 1296006 1339072 1354444 1359744 1388072 1398852 1421056 1428864 1458632 1467648 1473056 1506456 1512007 1547936 1561581 1586368 1598688 1631994 1640961 1657188 1667008 1712256 1721664 1728008 1741428 1784664 1827072 1865136 1875384 1933386 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737859416 742420224 757887312 762051528 780159744 796413072 808707744 825555822 830091843 843267904 866156928 870916032 889060116 910186368 932784384 943492368 948676392 963148459 980200704 1010516416 1016068704 1027732758 1061884096 1078276992 1100741096 1106789124 1136830968 1161221376 1185413488 1194619608 1199021551 1238333733 1257989824 1264901856 1291253978 1299235392 1333590174 1354758272 1365279552 1370310344 1399176576 1415238552 1470301056 1475718832 1515774624 1524103056 1541599137 1592826144 1617415488 1651111644 1660183686 1686535808 1732313856 1741832064 1778120232 1820372736 1886984736 1897352784 1926296918 1936880967 2021032832 2032137408 2055465516 2123768192 2156553984 2201482192 2213578248 2273661936 2370826976 2389239216 2398043102 2476667466 2515979648 2529803712 2582507956 2598470784 2667180348 2709516544 2730559104 2740620688 2798353152 2830477104 2889445377 2940602112 2951437664 3031549248 3048206112 3083198274 3185652288 3234830976 3302223288 3320367372 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19813339728 20660063648 21337442784 21582387918 21924965504 22643816832 23115563016 23242571604 23611501312 24385648896 24665586192 25179452571 26417786304 26562938976 27116333538 28449923712 28776517224 30357644544 30820750688 30990095472 32887448256 33572603428 34673344524 35223715072 35417251968 36155111384 36378590976 38227827456 38368689632 39626679456 40674500307 41320127296 42674885568 43164775836 43849931008 45287633664 46231126032 46485143208 49331172384 50358905142 52835572608 53125877952 54232667076 56899847424 57553034448 58752055999 61641501376 61980190944 65774896512 67145206856 69346689048 70834503936 72310222768 75538357713 76737379264 79253358912 81349000614 82640254592 85349771136 86329551672 92462252064 92970286416 98662344768 100717810284 105671145216 106251755904 108465334152 115106068896 117504111998 123283002752 123960381888 131549793024 134290413712 138693378096 144620445536 151076715426 153474758528 158506717824 162698001228 165280509184 170699542272 172659103344 176256167997 184924504128 185940572832 197324689536 201435620568 212503511808 216930668304 230212137792 235008223996 246566005504 247920763776 268580827424 277386756192 289240891072 302153430852 306949517056 317013435648 325396002456 345318206688 352512335994 369849008256 371881145664 394649379072 402871241136 433861336608 460424275584 470016447992 495841527552 528768503991 537161654848 554773512384 578481782144 604306861704 650792004912 690636413376 705024671988 739698016512 743762291328 805742482272 867722673216 920848551168 940032895984 1057537007982 1074323309696 1109547024768 1156963564288 1208613723408 1301584009824 1381272826752 1410049343976 1487524582656 1611484964544 1735445346432 1880065791968 2115074015964 2148646619392 2219094049536 2417227446816 2603168019648 2762545653504 2820098687952 3222969929088 3470890692864 3760131583936 4230148031928 4834454893632 5206336039296 5640197375904 6445939858176 7520263167872 8460296063856 9668909787264 10412672078592 11280394751808 15040526335744 16920592127712 19337819574528 22560789503616 33841184255424 45121579007232 67682368510848 135364737021696
- Sum of all divisors σ(n): 498467878708800
- Sum of proper divisors (its aliquot sum) s(n): 363103141687104
- 135364737021696 is an abundant number, because the sum of its proper divisors (363103141687104) is greater than itself. Its abundance is 227738404665408
Bases of 135364737021696
- Binary: 111101100011101000011110001000010110111000000002
- Hexadecimal: 0x7B1D0F10B700
- Base-36: 1BZDP9EPS0
Squares and roots of 135364737021696
- 135364737021696 squared (1353647370216962) is 18323612028952915668374716416
- 135364737021696 cubed (1353647370216963) is 2480370923586796901412885163442480439361536
-
The
square root of 135364737021696 is 11634635.2337190185 -
The
cube root of 135364737021696 is 51345.4362290519
Scales and comparisons
How big is 135364737021696?- 135,364,737,021,696 seconds is equal to 4,304,179 years, 48 weeks, 1 day, 7 hours, 21 minutes, 36 seconds.
-
To count from 1 to 135,364,737,021,696 would take you about ten million, seven hundred sixty thousand, four hundred forty-nine 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 135364737021696 cubic inches would be around 4278.8 feet tall.
Recreational maths with 135364737021696
- 135364737021696 backwards is 696120737463531
- 135364737021696 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135364737021696's digits is 63
- More coming soon!
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The information we have on file for 135364737021696 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!
Keywords: Divisors of 135364737021696, math, Factors of 135364737021696, curriculum, school, college, exams, university, Prime factorization of 135364737021696, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, three hundred sixty-four billion, seven hundred thirty-seven million, twenty-one thousand, six hundred ninety-six.