13829313656782848
13,829,313,656,782,848 is an even composite number composed of four prime numbers multiplied together.
What does the number 13829313656782848 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 666 divisors.
13829313656782848 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred sixty-six divisors.
Prime factorization of 13829313656782848:
236 × 3 × 72 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 37 × 37)See below for interesting mathematical facts about the number 13829313656782848 from the Numbermatics database.
Names of 13829313656782848
- Cardinal: 13829313656782848 can be written as Thirteen quadrillion, eight hundred twenty-nine trillion, three hundred thirteen billion, six hundred fifty-six million, seven hundred eighty-two thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.3829313656782848 × 1016
Factors of 13829313656782848
Divisors of 13829313656782848
- Number of divisors d(n): 666
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 64 74 84 96 98 111 112 128 147 148 168 192 196 222 224 256 259 294 296 336 384 392 444 448 512 518 588 592 672 768 777 784 888 896 1024 1036 1176 1184 1344 1369 1536 1554 1568 1776 1792 1813 2048 2072 2352 2368 2688 2738 3072 3108 3136 3552 3584 3626 4096 4107 4144 4704 4736 5376 5439 5476 6144 6216 6272 7104 7168 7252 8192 8214 8288 9408 9472 9583 10752 10878 10952 12288 12432 12544 14208 14336 14504 16384 16428 16576 18816 18944 19166 21504 21756 21904 24576 24864 25088 28416 28672 28749 29008 32768 32856 33152 37632 37888 38332 43008 43512 43808 49152 49728 50176 56832 57344 57498 58016 65536 65712 66304 67081 75264 75776 76664 86016 87024 87616 98304 99456 100352 113664 114688 114996 116032 131072 131424 132608 134162 150528 151552 153328 172032 174048 175232 196608 198912 200704 201243 227328 229376 229992 232064 262144 262848 265216 268324 301056 303104 306656 344064 348096 350464 393216 397824 401408 402486 454656 458752 459984 464128 524288 525696 530432 536648 602112 606208 613312 688128 696192 700928 786432 795648 802816 804972 909312 917504 919968 928256 1048576 1051392 1060864 1073296 1204224 1212416 1226624 1376256 1392384 1401856 1572864 1591296 1605632 1609944 1818624 1835008 1839936 1856512 2097152 2102784 2121728 2146592 2408448 2424832 2453248 2752512 2784768 2803712 3145728 3182592 3211264 3219888 3637248 3670016 3679872 3713024 4194304 4205568 4243456 4293184 4816896 4849664 4906496 5505024 5569536 5607424 6291456 6365184 6422528 6439776 7274496 7340032 7359744 7426048 8388608 8411136 8486912 8586368 9633792 9699328 9812992 11010048 11139072 11214848 12582912 12730368 12845056 12879552 14548992 14680064 14719488 14852096 16777216 16822272 16973824 17172736 19267584 19398656 19625984 22020096 22278144 22429696 25165824 25460736 25690112 25759104 29097984 29360128 29438976 29704192 33554432 33644544 33947648 34345472 38535168 38797312 39251968 44040192 44556288 44859392 50331648 50921472 51380224 51518208 58195968 58720256 58877952 59408384 67108864 67289088 67895296 68690944 77070336 77594624 78503936 88080384 89112576 89718784 100663296 101842944 102760448 103036416 116391936 117440512 117755904 118816768 134217728 134578176 135790592 137381888 154140672 155189248 157007872 176160768 178225152 179437568 201326592 203685888 205520896 206072832 232783872 234881024 235511808 237633536 268435456 269156352 271581184 274763776 308281344 310378496 314015744 352321536 356450304 358875136 402653184 407371776 411041792 412145664 465567744 469762048 471023616 475267072 536870912 538312704 543162368 549527552 616562688 620756992 628031488 704643072 712900608 717750272 805306368 814743552 822083584 824291328 931135488 939524096 942047232 950534144 1073741824 1076625408 1086324736 1099055104 1233125376 1241513984 1256062976 1409286144 1425801216 1435500544 1610612736 1629487104 1644167168 1648582656 1862270976 1879048192 1884094464 1901068288 2147483648 2153250816 2172649472 2198110208 2466250752 2483027968 2512125952 2818572288 2851602432 2871001088 3221225472 3258974208 3288334336 3297165312 3724541952 3758096384 3768188928 3802136576 4294967296 4306501632 4345298944 4396220416 4932501504 4966055936 5024251904 5637144576 5703204864 5742002176 6442450944 6517948416 6576668672 6594330624 7449083904 7516192768 7536377856 7604273152 8589934592 8613003264 8690597888 8792440832 9865003008 9932111872 10048503808 11274289152 11406409728 11484004352 12884901888 13035896832 13153337344 13188661248 14898167808 15032385536 15072755712 15208546304 17179869184 17226006528 17381195776 17584881664 19730006016 19864223744 20097007616 22548578304 22812819456 22968008704 25769803776 26071793664 26306674688 26377322496 29796335616 30064771072 30145511424 30417092608 34359738368 34452013056 34762391552 35169763328 39460012032 39728447488 40194015232 45097156608 45625638912 45936017408 51539607552 52143587328 52613349376 52754644992 59592671232 60129542144 60291022848 60834185216 68719476736 68904026112 69524783104 70339526656 78920024064 79456894976 80388030464 90194313216 91251277824 91872034816 103079215104 104287174656 105226698752 105509289984 119185342464 120259084288 120582045696 121668370432 137808052224 139049566208 140679053312 157840048128 158913789952 160776060928 180388626432 182502555648 183744069632 206158430208 208574349312 210453397504 211018579968 238370684928 240518168576 241164091392 243336740864 275616104448 278099132416 281358106624 315680096256 317827579904 321552121856 360777252864 365005111296 367488139264 417148698624 420906795008 422037159936 476741369856 481036337152 482328182784 486673481728 551232208896 556198264832 562716213248 631360192512 635655159808 643104243712 721554505728 730010222592 734976278528 834297397248 841813590016 844074319872 953482739712 964656365568 973346963456 1102464417792 1112396529664 1125432426496 1262720385024 1271310319616 1286208487424 1443109011456 1460020445184 1469952557056 1668594794496 1683627180032 1688148639744 1906965479424 1929312731136 1946693926912 2204928835584 2224793059328 2250864852992 2525440770048 2542620639232 2572416974848 2920040890368 2939905114112 3337189588992 3367254360064 3376297279488 3813930958848 3858625462272 3893387853824 4409857671168 4449586118656 4501729705984 5050881540096 5144833949696 5840081780736 5879810228224 6674379177984 6752594558976 7627861917696 7717250924544 7786775707648 8819715342336 8899172237312 9003459411968 10101763080192 10289667899392 11680163561472 11759620456448 13348758355968 13505189117952 15434501849088 15573551415296 17639430684672 17798344474624 18006918823936 20579335798784 23360327122944 23519240912896 26697516711936 27010378235904 30869003698176 31147102830592 35278861369344 36013837647872 41158671597568 46720654245888 47038481825792 53395033423872 54020756471808 61738007396352 62294205661184 70557722738688 72027675295744 82317343195136 93441308491776 94076963651584 108041512943616 123476014792704 124588411322368 141115445477376 144055350591488 164634686390272 186882616983552 216083025887232 246952029585408 282230890954752 288110701182976 329269372780544 373765233967104 432166051774464 493904059170816 576221402365952 658538745561088 864332103548928 987808118341632 1152442804731904 1728664207097856 1975616236683264 2304885609463808 3457328414195712 4609771218927616 6914656828391424 13829313656782848
- Sum of all divisors σ(n): 44089866517682916
- Sum of proper divisors (its aliquot sum) s(n): 30260552860900068
- 13829313656782848 is an abundant number, because the sum of its proper divisors (30260552860900068) is greater than itself. Its abundance is 16431239204117220
Bases of 13829313656782848
- Binary: 1100010010000110110000000000000000000000000000000000002
- Hexadecimal: 0x3121B000000000
- Base-36: 3S62YZKY8LC
Squares and roots of 13829313656782848
- 13829313656782848 squared (138293136567828482) is 191249916217680587410557426991104
- 13829313656782848 cubed (138293136567828483) is 2644855078207745630534102316153477598321355784192
-
The
square root of 13829313656782848 is 117598102.2669279643 -
The
cube root of 13829313656782848 is 240030.7463895175
Scales and comparisons
How big is 13829313656782848?- 13,829,313,656,782,848 seconds is equal to 439,729,397 years, 21 weeks, 2 days, 5 hours, 48 seconds.
-
To count from 1 to 13,829,313,656,782,848 would take you about one billion, three hundred nineteen million, one hundred eighty-eight thousand, one hundred ninety-two 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 13829313656782848 cubic inches would be around 20002.6 feet tall.
Recreational maths with 13829313656782848
- 13829313656782848 backwards is 84828765631392831
- 13829313656782848 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13829313656782848's digits is 84
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13829313656782848 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 13829313656782848 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/13829313656782848/
Chicago style:
Numbermatics. 2024. "Number 13829313656782848 - Facts about the integer". https://numbermatics.com/n/13829313656782848/
The information we have on file for 13829313656782848 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 13829313656782848, math, Factors of 13829313656782848, curriculum, school, college, exams, university, Prime factorization of 13829313656782848, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred twenty-nine trillion, three hundred thirteen billion, six hundred fifty-six million, seven hundred eighty-two thousand, eight hundred forty-eight.