135013430821126144

Names of 135013430821126144

• Cardinal: 135013430821126144 can be written as One hundred thirty-five quadrillion, thirteen trillion, four hundred thirty billion, eight hundred twenty-one million, one hundred twenty-six thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.35013430821126144 × 10¹⁷

Factors of 135013430821126144

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 45
• Sum of prime factors: 188

Divisors of 135013430821126144

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 179 196 224 256 343 358 392 448 512 686 716 784 896 1024 1253 1372 1432 1568 1792 2048 2506 2744 2864 3136 3584 4096 5012 5488 5728 6272 7168 8192 8771 10024 10976 11456 12544 14336 16384 17542 20048 21952 22912 25088 28672 32768 35084 40096 43904 45824 50176 57344 61397 65536 70168 80192 87808 91648 100352 114688 122794 131072 140336 160384 175616 183296 200704 229376 245588 262144 280672 320768 351232 366592 401408 458752 491176 524288 561344 641536 702464 733184 802816 917504 982352 1048576 1122688 1283072 1404928 1466368 1605632 1835008 1964704 2097152 2245376 2566144 2809856 2932736 3211264 3670016 3929408 4194304 4490752 5132288 5619712 5865472 6422528 7340032 7858816 8388608 8981504 10264576 11239424 11730944 12845056 14680064 15717632 16777216 17963008 20529152 22478848 23461888 25690112 29360128 31435264 33554432 35926016 41058304 44957696 46923776 51380224 58720256 62870528 67108864 71852032 82116608 89915392 93847552 102760448 117440512 125741056 134217728 143704064 164233216 179830784 187695104 205520896 234881024 251482112 268435456 287408128 328466432 359661568 375390208 411041792 469762048 502964224 536870912 574816256 656932864 719323136 750780416 822083584 939524096 1005928448 1073741824 1149632512 1313865728 1438646272 1501560832 1644167168 1879048192 2011856896 2147483648 2299265024 2627731456 2877292544 3003121664 3288334336 3758096384 4023713792 4294967296 4598530048 5255462912 5754585088 6006243328 6576668672 7516192768 8047427584 8589934592 9197060096 10510925824 11509170176 12012486656 13153337344 15032385536 16094855168 17179869184 18394120192 21021851648 23018340352 24024973312 26306674688 30064771072 32189710336 34359738368 36788240384 42043703296 46036680704 48049946624 52613349376 60129542144 64379420672 68719476736 73576480768 84087406592 92073361408 96099893248 105226698752 120259084288 128758841344 137438953472 147152961536 168174813184 184146722816 192199786496 210453397504 240518168576 257517682688 274877906944 294305923072 336349626368 368293445632 384399572992 420906795008 481036337152 515035365376 549755813888 588611846144 672699252736 736586891264 768799145984 841813590016 962072674304 1030070730752 1099511627776 1177223692288 1345398505472 1473173782528 1537598291968 1683627180032 1924145348608 2060141461504 2199023255552 2354447384576 2690797010944 2946347565056 3075196583936 3367254360064 3848290697216 4120282923008 4708894769152 5381594021888 5892695130112 6150393167872 6734508720128 7696581394432 8240565846016 9417789538304 10763188043776 11785390260224 12300786335744 13469017440256 15393162788864 16481131692032 18835579076608 21526376087552 23570780520448 24601572671488 26938034880512 32962263384064 37671158153216 43052752175104 47141561040896 49203145342976 53876069761024 65924526768128 75342316306432 86105504350208 94283122081792 98406290685952 107752139522048 131849053536256 150684632612864 172211008700416 188566244163584 196812581371904 263698107072512 301369265225728 344422017400832 377132488327168 393625162743808 527396214145024 602738530451456 688844034801664 754264976654336 1054792428290048 1205477060902912 1377688069603328 2109584856580096 2410954121805824 2755376139206656 4219169713160192 4821908243611648 8438339426320384 9643816487223296 16876678852640768 19287632974446592 33753357705281536 67506715410563072 135013430821126144
• Sum of all divisors σ(n): 316659348799416000
• Sum of proper divisors (its aliquot sum) s(n): 181645917978289856
• 135013430821126144 is an abundant number, because the sum of its proper divisors (181645917978289856) is greater than itself. Its abundance is 46632487157163712

Bases of 135013430821126144

• Binary: 111011111101010100000000000000000000000000000000000000000₂
• Hexadecimal: 0x1DFAA0000000000
• Base-36: 10XE9LV3F0N4

Squares and roots of 135013430821126144

• 135013430821126144 squared (135013430821126144²) is 18228626502091015002475984360308736
• 135013430821126144 cubed (135013430821126144³) is 2461109403204211897743944227140893796709099041193984
• The square root of 135013430821126144 is 367441737.9954625459
• The cube root of 135013430821126144 is 513009.7955730009

Scales and comparisons

• 135,013,430,821,126,144 seconds is equal to 4,293,009,476 years, 7 weeks, 5 days, 14 hours, 9 minutes, 4 seconds.
• To count from 1 to 135,013,430,821,126,144 would take you about twelve billion, eight hundred seventy-nine million, twenty-eight thousand, four hundred twenty-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 135013430821126144 cubic inches would be around 42750.8 feet tall.

Recreational maths with 135013430821126144

• 135013430821126144 backwards is 441621128034310531
• 135013430821126144 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 135013430821126144's digits is 49
• More coming soon!