13536352160029440
13,536,352,160,029,440 is an even composite number composed of five prime numbers multiplied together.
What does the number 13536352160029440 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 324 divisors.
13536352160029440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 13536352160029440:
28 × 32 × 5 × 72 × 23980215703
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 23980215703)See below for interesting mathematical facts about the number 13536352160029440 from the Numbermatics database.
Names of 13536352160029440
- Cardinal: 13536352160029440 can be written as Thirteen quadrillion, five hundred thirty-six trillion, three hundred fifty-two billion, one hundred sixty million, twenty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.353635216002944 × 1016
Factors of 13536352160029440
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 23980215720
Divisors of 13536352160029440
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 128 140 144 147 160 168 180 192 196 210 224 240 245 252 256 280 288 294 315 320 336 360 384 392 420 441 448 480 490 504 560 576 588 630 640 672 720 735 768 784 840 882 896 960 980 1008 1120 1152 1176 1260 1280 1344 1440 1470 1568 1680 1764 1792 1920 1960 2016 2205 2240 2304 2352 2520 2688 2880 2940 3136 3360 3528 3840 3920 4032 4410 4480 4704 5040 5376 5760 5880 6272 6720 7056 7840 8064 8820 8960 9408 10080 11520 11760 12544 13440 14112 15680 16128 17640 18816 20160 23520 26880 28224 31360 35280 37632 40320 47040 56448 62720 70560 80640 94080 112896 141120 188160 282240 564480 23980215703 47960431406 71940647109 95920862812 119901078515 143881294218 167861509921 191841725624 215821941327 239802157030 287762588436 335723019842 359703235545 383683451248 431643882654 479604314060 503584529763 575525176872 671446039684 719406471090 767366902496 839307549605 863287765308 959208628120 1007169059526 1079109706635 1151050353744 1175030569447 1342892079368 1438812942180 1510753589289 1534733804992 1678615099210 1726575530616 1918417256240 2014338119052 2158219413270 2302100707488 2350061138894 2517922648815 2685784158736 2877625884360 3021507178578 3069467609984 3357230198420 3453151061232 3525091708341 3836834512480 4028676238104 4316438826540 4604201414976 4700122277788 5035845297630 5371568317472 5755251768720 5875152847235 6043014357156 6138935219968 6714460396840 6906302122464 7050183416682 7553767946445 7673669024960 8057352476208 8632877653080 9208402829952 9400244555576 10071690595260 10575275125023 10743136634944 11510503537440 11750305694470 12086028714312 13428920793680 13812604244928 14100366833364 15107535892890 15347338049920 16114704952416 17265755306160 17625458541705 18416805659904 18800489111152 20143381190520 21150550250046 21486273269888 23021007074880 23500611388940 24172057428624 26857841587360 27625208489856 28200733666728 30215071785780 30694676099840 32229409904832 34531510612320 35250917083410 37600978222304 40286762381040 42301100500092 42972546539776 46042014149760 47001222777880 48344114857248 52876375625115 53715683174720 55250416979712 56401467333456 60430143571560 64458819809664 69063021224640 70501834166820 75201956444608 80573524762080 84602201000184 92084028299520 94002445555760 96688229714496 105752751250230 107431366349440 112802934666912 120860287143120 128917639619328 138126042449280 141003668333640 150403912889216 161147049524160 169204402000368 188004891111520 193376459428992 211505502500460 214862732698880 225605869333824 241720574286240 276252084898560 282007336667280 300807825778432 322294099048320 338408804000736 376009782223040 386752918857984 423011005000920 451211738667648 483441148572480 564014673334560 644588198096640 676817608001472 752019564446080 846022010001840 902423477335296 966882297144960 1128029346669120 1353635216002944 1504039128892160 1692044020003680 1933764594289920 2256058693338240 2707270432005888 3384088040007360 4512117386676480 6768176080014720 13536352160029440
- Sum of all divisors σ(n): 54480795939211824
- Sum of proper divisors (its aliquot sum) s(n): 40944443779182384
- 13536352160029440 is an abundant number, because the sum of its proper divisors (40944443779182384) is greater than itself. Its abundance is 27408091619152944
Bases of 13536352160029440
- Binary: 1100000001011100111101100101100000110110011011000000002
- Hexadecimal: 0x30173D960D9B00
- Base-36: 3PA8IC1TQ80
Squares and roots of 13536352160029440
- 13536352160029440 squared (135363521600294402) is 183232829800333686015181666713600
- 13536352160029440 cubed (135363521600294403) is 2480304111456053633921687970727326409644048384000
-
The
square root of 13536352160029440 is 116345830.0070502741 -
The
cube root of 13536352160029440 is 238323.6901615687
Scales and comparisons
How big is 13536352160029440?- 13,536,352,160,029,440 seconds is equal to 430,414,128 years, 22 hours, 24 minutes.
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To count from 1 to 13,536,352,160,029,440 would take you about one billion, two hundred ninety-one million, two hundred forty-two thousand, three hundred eighty-four 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 13536352160029440 cubic inches would be around 19860.3 feet tall.
Recreational maths with 13536352160029440
- 13536352160029440 backwards is 04492006125363531
- The number of decimal digits it has is: 17
- The sum of 13536352160029440's digits is 54
- More coming soon!
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