13485582319104
13,485,582,319,104 is an even composite number composed of five prime numbers multiplied together.
What does the number 13485582319104 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
13485582319104 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 13485582319104:
29 × 32 × 73 × 232 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 23 × 23 × 127 × 127)See below for interesting mathematical facts about the number 13485582319104 from the Numbermatics database.
Names of 13485582319104
- Cardinal: 13485582319104 can be written as Thirteen trillion, four hundred eighty-five billion, five hundred eighty-two million, three hundred nineteen thousand, one hundred four.
Scientific notation
- Scientific notation: 1.3485582319104 × 1013
Factors of 13485582319104
Divisors of 13485582319104
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 49 56 63 64 69 72 84 92 96 98 112 126 127 128 138 144 147 161 168 184 192 196 207 224 252 254 256 276 288 294 322 336 343 368 381 384 392 414 441 448 483 504 508 512 529 552 576 588 644 672 686 736 762 768 784 828 882 889 896 966 1008 1016 1029 1058 1104 1127 1143 1152 1176 1288 1344 1372 1449 1472 1524 1536 1568 1587 1656 1764 1778 1792 1932 2016 2032 2058 2116 2208 2254 2286 2304 2352 2576 2667 2688 2744 2898 2921 2944 3048 3087 3136 3174 3312 3381 3528 3556 3584 3703 3864 4032 4064 4116 4232 4416 4508 4572 4608 4704 4761 5152 5334 5376 5488 5796 5842 5888 6096 6174 6223 6272 6348 6624 6762 7056 7112 7406 7728 7889 8001 8064 8128 8232 8464 8763 8832 9016 9144 9408 9522 10143 10304 10668 10752 10976 11109 11592 11684 11776 12192 12348 12446 12544 12696 13248 13524 14112 14224 14812 15456 15778 16002 16128 16129 16256 16464 16928 17526 17664 18032 18288 18669 18816 19044 20286 20447 20608 21336 21952 22218 23184 23368 23667 24384 24696 24892 25088 25392 25921 26289 26496 27048 28224 28448 29624 30912 31556 32004 32256 32258 32512 32928 33327 33856 35052 35328 36064 36576 37338 37632 38088 40572 40894 41216 42672 43561 43904 44436 46368 46736 47334 48387 48768 49392 49784 50784 51842 52578 52992 54096 56007 56448 56896 59248 61341 61824 63112 64008 64516 65024 65856 66654 67183 67712 70104 71001 72128 73152 74676 75264 76176 77763 81144 81788 82432 85344 87122 87808 88872 92736 93472 94668 96774 97536 98784 99568 101568 103684 105156 105984 108192 112014 112896 112903 113792 118496 122682 123648 126224 128016 129032 130683 131712 133308 134366 135424 140208 142002 143129 144256 145161 146304 149352 152352 155526 162288 163576 170688 174244 175616 177744 181447 184023 185472 186944 189336 193548 195072 197568 199136 201549 203136 207368 210312 216384 224028 225792 225806 227584 233289 236992 245364 247296 252448 256032 258064 261366 263424 266616 268732 270848 280416 284004 286258 288512 290322 292608 298704 304704 311052 324576 327152 338709 341376 348488 355488 362894 368046 370944 370967 373888 378672 387096 392049 395136 398272 403098 406272 414736 420624 429387 432768 448056 451612 455168 466578 470281 473984 490728 504896 512064 516128 522732 526848 533232 537464 544341 560832 568008 572516 577024 580644 585216 597408 604647 609408 622104 649152 654304 677418 682752 696976 710976 725788 736092 741888 741934 747776 757344 774192 784098 790272 790321 796544 806196 812544 829472 841248 858774 865536 896112 903224 933156 940562 947968 981456 1001903 1009792 1016127 1024128 1032256 1045464 1066464 1074928 1088682 1112901 1121664 1136016 1145032 1161288 1194816 1209294 1218816 1244208 1288161 1298304 1308608 1354836 1365504 1393952 1410843 1421952 1451576 1472184 1483868 1495552 1514688 1548384 1568196 1580544 1580642 1593088 1612392 1633023 1658944 1682496 1717548 1731072 1792224 1806448 1866312 1881124 1895936 1962912 2003806 2019584 2032254 2048256 2064512 2090928 2132928 2149856 2177364 2225802 2243328 2272032 2290064 2322576 2370963 2389632 2418588 2437632 2488416 2576322 2596608 2596769 2617216 2709672 2787904 2821686 2843904 2903152 2944368 2967736 3005709 3029376 3096768 3136392 3161284 3186176 3224784 3266046 3291967 3317888 3338703 3364992 3435096 3584448 3612896 3732624 3762248 3925824 4007612 4039168 4064508 4096512 4129024 4181856 4232529 4265856 4299712 4354728 4451604 4486656 4544064 4580128 4645152 4741926 4779264 4837176 4976832 5152644 5193216 5193538 5234432 5419344 5532247 5575808 5643372 5687808 5806304 5888736 5935472 6011418 6058752 6193536 6272784 6322568 6449568 6532092 6583934 6635776 6677406 6729984 6870192 7112889 7168896 7225792 7465248 7524496 7790307 7851648 8015224 8129016 8258048 8363712 8465058 8531712 8532241 8599424 8709456 8903208 9017127 9088128 9160256 9290304 9483852 9558528 9674352 9875901 9953664 10305288 10387076 10468864 10838688 11064494 11151616 11286744 11612608 11777472 11870944 12022836 12117504 12387072 12545568 12645136 12899136 13064184 13167868 13271552 13354812 13459968 13740384 14225778 14337792 14451584 14930496 15048992 15580614 15703296 16030448 16258032 16596741 16727424 16930116 17063424 17064482 17198848 17418912 17806416 18034254 18176256 18177383 18320512 18580608 18967704 19348704 19751802 19907328 20610576 20774152 21677376 22128988 22303232 22573488 23043769 23225216 23370921 23554944 23741888 24045672 24774144 25091136 25290272 25596723 25798272 26128368 26335736 26709624 27480768 28451556 28675584 28903168 29627703 29860992 30097984 31161228 31406592 32060896 32516064 33193482 33454848 33860232 34128964 34397696 34837824 35612832 36068508 36352512 36354766 36641024 37161216 37935408 38697408 39503604 39814656 41221152 41548304 43354752 44257976 45146976 46087538 46450432 46741842 47109888 47483776 48091344 49790223 50182272 50580544 51193446 51596544 52256736 52671472 53419248 54532149 54961536 56903112 57806336 59255406 59721984 59725687 60195968 62322456 64121792 65032128 66386964 66909696 67720464 68257928 69131307 69675648 71225664 72137016 72709532 73282048 74322432 75870816 76790169 77394816 79007208 82442304 83096608 86709504 88515952 90293952 92175076 92900864 93483684 94219776 94967552 96182688 99580446 100364544 101161088 102386892 103193088 104513472 105342944 106838496 109064298 109923072 113806224 118510812 119443968 119451374 120391936 124644912 127241681 128243584 130064256 132773928 135440928 136515856 138262614 139351296 142451328 144274032 145419064 151741632 153580338 154789632 158014416 163596447 164884608 166193216 173419008 177031904 179177061 180587904 184350152 186967368 189935104 192365376 199160892 200729088 202322176 204773784 207393921 209026944 210685888 213676992 218128596 219846144 227612448 237021624 238902748 240783872 249289824 254483362 256487168 260128512 265547856 270881856 273031712 276525228 278702592 284902656 288548064 290838128 303483264 307160676 309579264 316028832 327192894 329769216 332386432 354063808 358354122 361175808 368700304 373934736 381725043 384730752 398321784 404644352 409547568 414787842 418053888 418079809 421371776 427353984 436257192 455224896 474043248 477805496 498579648 508966724 512974336 520257024 531095712 537531183 541763712 546063424 553050456 569805312 577096128 581676256 606966528 614321352 632057664 654385788 659538432 664772864 708127616 716708244 722351616 737400608 747869472 763450086 769461504 796643568 819095136 829575684 836107776 836159618 842743552 854707968 872514384 910449792 948086496 955610992 997159296 1017933448 1062191424 1075062366 1083527424 1092126848 1106100912 1145175129 1154192256 1163352512 1213933056 1228642704 1254239427 1264115328 1308771576 1329545728 1416255232 1433416488 1474801216 1495738944 1526900172 1538923008 1593287136 1638190272 1659151368 1672319236 1685487104 1709415936 1745028768 1820899584 1896172992 1911221984 1994318592 2035866896 2124382848 2150124732 2167054848 2184253696 2212201824 2290350258 2308384512 2326705024 2457285408 2508478854 2528230656 2617543152 2832510464 2866832976 2926558663 2949602432 2991477888 3053800344 3186574272 3276380544 3318302736 3344638472 3490057536 3641799168 3762718281 3792345984 3822443968 3988637184 4071733792 4248765696 4300249464 4368507392 4424403648 4580700516 4616769024 4653410048 4914570816 5016957708 5056461312 5235086304 5733665952 5853117326 5899204864 5982955776 6107600688 6373148544 6552761088 6636605472 6689276944 6980115072 7525436562 7584691968 7644887936 8143467584 8497531392 8600498928 8779675989 8848807296 9161401032 9306820096 9829141632 10033915416 10470172608 11467331904 11706234652 11798409728 11965911552 12215201376 12746297088 13105522176 13273210944 13378553888 13960230144 15050873124 15169383936 15289775872 16286935168 17200997856 17559351978 17697614592 18322802064 19658283264 20067830832 20940345216 22934663808 23412469304 24430402752 25492594176 26339027967 26546421888 26757107776 27920460288 30101746248 30579551744 32573870336 34401995712 35118703956 35395229184 36645604128 39316566528 40135661664 41880690432 45869327616 46824938608 48860805504 52678055934 53092843776 53514215552 60203492496 65147740672 68803991424 70237407912 73291208256 80271323328 83761380864 91738655232 93649877216 97721611008 105356111868 106185687552 107028431104 120406984992 137607982848 140474815824 146582416512 160542646656 187299754432 195443222016 210712223736 214056862208 240813969984 275215965696 280949631648 293164833024 321085293312 374599508864 421424447472 481627939968 561899263296 586329666048 642170586624 749199017728 842848894944 963255879936 1123798526592 1498398035456 1685697789888 1926511759872 2247597053184 3371395579776 4495194106368 6742791159552 13485582319104
- Sum of all divisors σ(n): 47823847671600
- Sum of proper divisors (its aliquot sum) s(n): 34338265352496
- 13485582319104 is an abundant number, because the sum of its proper divisors (34338265352496) is greater than itself. Its abundance is 20852683033392
Bases of 13485582319104
- Binary: 110001000011110110110101011111111110000000002
- Hexadecimal: 0xC43DB57FE00
- Base-36: 4S36VIWW0
Squares and roots of 13485582319104
- 13485582319104 squared (134855823191042) is 181860930485330418883362816
- 13485582319104 cubed (134855823191043) is 2452500548688773522536815678275520036864
-
The
square root of 13485582319104 is 3672272.0921936055 -
The
cube root of 13485582319104 is 23802.5362261443
Scales and comparisons
How big is 13485582319104?- 13,485,582,319,104 seconds is equal to 428,799 years, 41 weeks, 5 days, 16 hours, 38 minutes, 24 seconds.
-
To count from 1 to 13,485,582,319,104 would take you about one million, seventy-one thousand, nine hundred ninety-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 13485582319104 cubic inches would be around 1983.5 feet tall.
Recreational maths with 13485582319104
- 13485582319104 backwards is 40191328558431
- The number of decimal digits it has is: 14
- The sum of 13485582319104's digits is 54
- More coming soon!
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"Number 13485582319104 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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The information we have on file for 13485582319104 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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