13485128139473760
13,485,128,139,473,760 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13485128139473760 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
13485128139473760 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13485128139473760:
25 × 33 × 5 × 7 × 11 × 37 × 1095667757
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 37 × 1095667757)See below for interesting mathematical facts about the number 13485128139473760 from the Numbermatics database.
Names of 13485128139473760
- Cardinal: 13485128139473760 can be written as Thirteen quadrillion, four hundred eighty-five trillion, one hundred twenty-eight billion, one hundred thirty-nine million, four hundred seventy-three thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.348512813947376 × 1016
Factors of 13485128139473760
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1095667822
Divisors of 13485128139473760
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 37 40 42 44 45 48 54 55 56 60 63 66 70 72 74 77 80 84 88 90 96 99 105 108 110 111 112 120 126 132 135 140 144 148 154 160 165 168 176 180 185 189 198 210 216 220 222 224 231 240 252 259 264 270 280 288 296 297 308 315 330 333 336 352 360 370 378 385 396 407 420 432 440 444 462 480 495 504 518 528 540 555 560 592 594 616 630 660 666 672 693 720 740 756 770 777 792 814 840 864 880 888 924 945 990 999 1008 1036 1056 1080 1110 1120 1155 1184 1188 1221 1232 1260 1295 1320 1332 1386 1440 1480 1485 1512 1540 1554 1584 1628 1665 1680 1760 1776 1848 1890 1980 1998 2016 2035 2072 2079 2160 2220 2310 2331 2376 2442 2464 2520 2590 2640 2664 2772 2849 2960 2970 3024 3080 3108 3168 3256 3330 3360 3465 3552 3663 3696 3780 3885 3960 3996 4070 4144 4158 4320 4440 4620 4662 4752 4884 4995 5040 5180 5280 5328 5544 5698 5920 5940 6048 6105 6160 6216 6512 6660 6930 6993 7326 7392 7560 7770 7920 7992 8140 8288 8316 8547 8880 9240 9324 9504 9768 9990 10080 10360 10395 10656 10989 11088 11396 11655 11880 12210 12320 12432 13024 13320 13860 13986 14245 14652 15120 15540 15840 15984 16280 16632 17094 17760 18315 18480 18648 19536 19980 20720 20790 21978 22176 22792 23310 23760 24420 24864 25641 26640 27720 27972 28490 29304 30240 31080 31968 32560 33264 34188 34965 36630 36960 37296 39072 39960 41440 41580 42735 43956 45584 46620 47520 48840 51282 53280 54945 55440 55944 56980 58608 62160 65120 66528 68376 69930 73260 74592 76923 79920 83160 85470 87912 91168 93240 97680 102564 109890 110880 111888 113960 117216 124320 128205 136752 139860 146520 153846 159840 166320 170940 175824 186480 195360 205128 219780 223776 227920 256410 273504 279720 293040 307692 332640 341880 351648 372960 384615 410256 439560 455840 512820 559440 586080 615384 683760 769230 820512 879120 1025640 1118880 1230768 1367520 1538460 1758240 2051280 2461536 3076920 4102560 6153840 12307680 1095667757 2191335514 3287003271 4382671028 5478338785 6574006542 7669674299 8765342056 9861009813 10956677570 12052345327 13148013084 15339348598 16435016355 17530684112 19722019626 21913355140 23009022897 24104690654 26296026168 29583029439 30678697196 32870032710 35061368224 36157035981 38348371495 39444039252 40539707009 43826710280 46018045794 48209381308 49305049065 52592052336 59166058878 60261726635 61357394392 65740065420 69027068691 72314071962 76696742990 78888078504 81079414018 84366417289 87653420560 92036091588 96418762616 98610098130 105184104672 108471107943 115045114485 118332117756 120523453270 121619121027 122714788784 131480130840 138054137382 144628143924 147915147195 153393485980 157776157008 162158828036 168732834578 175306841120 180785179905 184072183176 192837525232 197220196260 202698535045 207081206073 216942215886 230090228970 236664235512 241046906540 243238242054 245429577568 253099251867 262960261680 276108274764 283777949063 289256287848 295830294390 306786971960 315552314016 324317656072 325413323829 337465669156 345135343455 361570359810 364857363081 368144366352 385675050464 394440392520 405397070090 414162412146 421832086445 433884431772 445936777099 460180457940 473328471024 482093813080 486476484108 506198503734 525920523360 542355539715 552216549528 567555898126 578512575696 591660588780 608095605135 613573943920 648635312144 650826647658 674931338312 690270686910 723140719620 729714726162 736288732704 759297755601 788880785040 810794140180 828324824292 843664172890 851333847189 867768863544 891873554198 920360915880 946656942048 964187626160 972952968216 1012397007468 1035406030365 1084711079430 1094572089243 1104433099056 1135111796252 1157025151392 1183321177560 1216191210270 1227147887840 1265496259335 1297270624288 1301653295316 1337810331297 1349862676624 1380541373820 1418889745315 1446281439240 1459429452324 1518595511202 1577761570080 1621588280360 1627066619145 1656649648584 1687328345780 1702667694378 1735537727088 1783747108396 1824286815405 1840721831760 1928375252320 1945905936432 2024794014936 2070812060730 2169422158860 2189144178486 2208866198112 2229683885495 2270223592504 2277893266803 2366642355120 2432382420540 2530992518670 2554001541567 2603306590632 2675620662594 2699725353248 2761082747640 2837779490630 2892562878480 2918858904648 3037191022404 3121557439693 3243176560720 3254133238290 3313299297168 3374656691560 3405335388756 3471075454176 3567494216792 3648573630810 3681443663520 3796488778005 3891811872864 4013430993891 4049588029872 4141624121460 4256669235945 4338844317720 4378288356972 4459367770990 4540447185008 4555786533606 4733284710240 4864764841080 5061985037340 5108003083134 5206613181264 5351241325188 5472860446215 5522165495280 5675558981260 5785125756960 5837717809296 6074382044808 6243114879386 6486353121440 6508266476580 6626598594336 6689051656485 6749313383120 6810670777512 7134988433584 7297147261620 7592977556010 7662004624701 8026861987782 8099176059744 8283248242920 8513338471890 8677688635440 8756576713944 8918735541980 9080894370016 9111573067212 9364672319079 9729529682160 10123970074680 10216006166268 10413226362528 10702482650376 10945720892430 11044330990560 11351117962520 11389466334015 11675435618592 12040292981673 12148764089616 12486229758772 12770007707835 13016532953160 13378103312970 13498626766240 13621341555024 14269976867168 14594294523240 15185955112020 15324009249402 15607787198465 16053723975564 16566496485840 17026676943780 17355377270880 17513153427888 17837471083960 18223146134424 18729344638158 19459059364320 20067154969455 20247940149360 20432012332536 21404965300752 21891441784860 22702235925040 22778932668030 24080585963346 24297528179232 24972459517544 25540015415670 26033065906320 26756206625940 27242683110048 28094016957237 29188589046480 30371910224040 30648018498804 31215574396930 32107447951128 33132992971680 34053353887560 35026306855776 35674942167920 36446292268848 37458689276316 38310023123505 40134309938910 40495880298720 40864024665072 42809930601504 43782883569720 45404471850080 45557865336060 46823361595395 48161171926692 49944919035088 51080030831340 52066131812640 53512413251880 56188033914474 58377178092960 60201464908365 60743820448080 61296036997608 62431148793860 64214895902256 68106707775120 71349884335840 72892584537696 74917378552632 76620046247010 80268619877820 81728049330144 84282050871711 87565767139440 91115730672120 93646723190790 96322343853384 99889838070176 102160061662680 107024826503760 112376067828948 120402929816730 121487640896160 122592073995216 124862297587720 128429791804512 136213415550240 140470084786185 149834757105264 153240092494020 160537239755640 168564101743422 175131534278880 182231461344240 187293446381580 192644687706768 204320123325360 214049653007520 224752135657896 240805859633460 245184147990432 249724595175440 280940169572370 299669514210528 306480184988040 321074479511280 337128203486844 364462922688480 374586892763160 385289375413536 408640246650720 421410254358555 449504271315792 481611719266920 499449190350880 561880339144740 612960369976080 642148959022560 674256406973688 749173785526320 842820508717110 899008542631584 963223438533840 1123760678289480 1225920739952160 1348512813947376 1498347571052640 1685641017434220 1926446877067680 2247521356578960 2697025627894752 3371282034868440 4495042713157920 6742564069736880 13485128139473760
- Sum of all divisors σ(n): 60434579235502080
- Sum of proper divisors (its aliquot sum) s(n): 46949451096028320
- 13485128139473760 is an abundant number, because the sum of its proper divisors (46949451096028320) is greater than itself. Its abundance is 33464322956554560
Bases of 13485128139473760
- Binary: 1011111110100010100111000100001000000100000011011000002
- Hexadecimal: 0x2FE8A710810360
- Base-36: 3OS2UCEJVC0
Squares and roots of 13485128139473760
- 13485128139473760 squared (134851281394737602) is 181848680938027031935489728537600
- 13485128139473760 cubed (134851281394737603) is 2452252764443573874577123857697618693318373376000
-
The
square root of 13485128139473760 is 116125484.4531283753 -
The
cube root of 13485128139473760 is 238022.6900870127
Scales and comparisons
How big is 13485128139473760?- 13,485,128,139,473,760 seconds is equal to 428,785,362 years, 30 weeks, 6 days, 15 hours, 36 minutes.
-
To count from 1 to 13,485,128,139,473,760 would take you about one billion, two hundred eighty-six million, three hundred fifty-six thousand and eighty-seven 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 13485128139473760 cubic inches would be around 19835.2 feet tall.
Recreational maths with 13485128139473760
- 13485128139473760 backwards is 06737493182158431
- 13485128139473760 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13485128139473760's digits is 72
- More coming soon!
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The information we have on file for 13485128139473760 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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