13428865289312480
13,428,865,289,312,480 is an even composite number composed of seven prime numbers multiplied together.
13428865289312480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13428865289312480:
25 × 5 × 7 × 29 × 612 × 832 × 1272
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 29 × 61 × 61 × 83 × 83 × 127 × 127)See below for interesting mathematical facts about the number 13428865289312480 from the Numbermatics database.
Names of 13428865289312480
- Cardinal: 13428865289312480 can be written as Thirteen quadrillion, four hundred twenty-eight trillion, eight hundred sixty-five billion, two hundred eighty-nine million, three hundred twelve thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.342886528931248 × 1016
Factors of 13428865289312480
Divisors of 13428865289312480
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 61 70 80 83 112 116 122 127 140 145 160 166 203 224 232 244 254 280 290 305 332 406 415 427 464 488 508 560 580 581 610 635 664 812 830 854 889 928 976 1015 1016 1120 1160 1162 1220 1270 1328 1624 1660 1708 1769 1778 1952 2030 2032 2135 2320 2324 2407 2440 2540 2656 2905 3248 3320 3416 3538 3556 3683 3721 4060 4064 4270 4445 4640 4648 4814 4880 5063 5080 5810 6496 6640 6832 6889 7076 7112 7366 7442 7747 8120 8540 8845 8890 9296 9628 9760 10126 10160 10541 11620 12035 12383 13280 13664 13778 14152 14224 14732 14884 15494 16129 16240 16849 17080 17690 17780 18415 18592 18605 19256 20252 20320 21082 23240 24070 24766 25315 25781 26047 27556 28304 28448 29464 29768 30988 32258 32480 33698 34160 34445 35380 35441 35560 36830 37210 38512 38735 40504 42164 46480 48140 48223 49532 50630 51562 52094 52705 54229 55112 56608 58928 59536 61915 61976 64516 67396 68320 68890 70760 70882 71120 73660 73787 74420 77024 77470 80645 81008 84245 84328 92960 96280 96446 99064 101260 103124 104188 105410 107909 108458 110224 112903 117856 119072 123830 123952 128905 129032 130235 134792 137780 141520 141764 142240 146827 147320 147574 148840 154940 161290 162016 168490 168656 177205 192560 192892 198128 199781 202520 206248 208376 210820 215818 216916 220448 224663 225806 241115 247660 247904 257810 258064 260470 269584 271145 275560 283040 283528 293654 294640 295148 297680 305689 308843 309880 322580 336980 337312 354410 368935 385120 385784 396256 399562 405040 412496 416752 420229 421640 431636 433832 449326 451612 467741 472567 482230 495320 515620 516128 520940 539168 539545 542290 551120 564515 567056 587308 589280 590296 595360 611378 617686 619760 643001 645160 673960 708820 734135 737870 755363 771568 799124 810080 824992 833504 840458 843280 863272 867664 874903 898652 903224 935482 945134 964460 983869 990640 998905 1027789 1031240 1041880 1079090 1084580 1102240 1123315 1129030 1134112 1174616 1180592 1222756 1235372 1239520 1286002 1290320 1338707 1347920 1398467 1417640 1468270 1475740 1510726 1528445 1543136 1544215 1572641 1598248 1680916 1686560 1726544 1735328 1749806 1797304 1806448 1870964 1890268 1928920 1967738 1981280 1997810 2055578 2062480 2083760 2101145 2139823 2158180 2161901 2169160 2246630 2258060 2338705 2349232 2361184 2362835 2445512 2470744 2572004 2580640 2677414 2695840 2796934 2835280 2936540 2941603 2951480 3021452 3056890 3088430 3145282 3196496 3215005 3274187 3307969 3361832 3453088 3499612 3594608 3612896 3741928 3776815 3780536 3857840 3935476 3995620 4111156 4124960 4167520 4202290 4279646 4316360 4323802 4338320 4374515 4493260 4501007 4516120 4677410 4698464 4725670 4891024 4919345 4941488 5138945 5144008 5354828 5593868 5670560 5873080 5883206 5902960 6042904 6113780 6124321 6176860 6290564 6392992 6430010 6548374 6615938 6693535 6723664 6887083 6992335 6999224 7189216 7483856 7553630 7561072 7715680 7863205 7870952 7991240 8222312 8404580 8559292 8632720 8647604 8676640 8749030 8956447 8986520 9002014 9032240 9354820 9370949 9451340 9782048 9838690 9882976 10277890 10288016 10699115 10709656 10809505 11187736 11746160 11766412 11805920 12085808 12186641 12227560 12248642 12353720 12581128 12860020 13096748 13231876 13387070 13447328 13704443 13774166 13984670 13998448 14708015 14967712 15107260 15122144 15726410 15741904 15982480 16370935 16444624 16539845 16809160 17118584 17265440 17295208 17498060 17912894 17973040 18004028 18064480 18647029 18709640 18741898 18902680 19677380 20555780 20576032 21398230 21419312 21619010 22375472 22505035 23492320 23532824 24171616 24373282 24455120 24497284 24707440 25162256 25372187 25633969 25720040 26193496 26463752 26774140 27408886 27548332 27969340 27996896 28532201 29416030 30214520 30621605 31452820 31483808 31964960 32741870 32889248 33079690 33618320 34237168 34435415 34590416 34996120 35825788 35946080 36008056 37294058 37419280 37483796 37805360 38822503 39223061 39354760 41111560 42796460 42838624 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12183249827 12381627256 12444620272 12889070996 13022056252 13065780320 13443586016 13555747082 13649037920 13923714088 14208424720 14355022640 14867702020 14943343240 15348976160 15477034070 15555775340 15924562766 15978032560 16111338745 16277570315 16577208781 16804482520 17404642610 17778028960 18199500304 18292092448 18945381464 19925314988 20814782828 20884672480 21667847698 21740601680 21964914160 22555874243 22749375380 22788598441 22865115560 23681726830 23788323232 24366499654 24763254512 24889240544 24906643735 25778141992 26018478535 26044112504 27111494164 27847428176 28416849440 28710045280 29735404040 29886686480 30954068140 31111550680 31849125532 31956065120 32222677490 32555140630 33154417562 33608965040 33889367705 34809285220 34869301229 36399000608 37890762928 39811406915 39850629976 41629565656 43335695396 43481203360 43929828320 45111748486 45498750760 45577196882 45730231120 47363453660 47445114787 48732999308 49526509024 49813287470 51556283984 52036957070 52088225008 54169619245 54222988328 55694856352 59470808080 59773372960 60916249135 61908136280 62223101360 63698251064 64445354980 65110281260 66308835124 67217930080 67778735410 69618570440 69738602458 75781525856 79622813830 79701259952 82886043905 83259131312 86671390792 90223496972 90997501520 91154393764 91460462240 94409907827 94726907320 94890229574 97465998616 99626574940 103112567968 104073914140 104176450016 108339238490 108445976656 112779371215 113942992205 118941616160 121832498270 123816272560 124446202720 127396502128 128890709960 130220562520 132617670248 135557470820 139237140880 139477204916 144458533663 159245627660 159402519904 165772087810 166518262624 173342781584 174346506145 180446993944 181995003040 182308787528 188819815654 189453814640 189780459148 194931997232 196558332689 199253149880 208147828280 216678476980 216891953312 225558742430 227885984410 237225573935 243664996540 247632545120 254793004256 257781419920 260441125040 265235340496 271114941640 278474281760 278954409832 288917067326 318491255320 331544175620 346685563168 348693012290 360893987888 364617575056 377639631308 378907629280 379560918296 389863994464 393116665378 398506299760 413450286001 416295656560 433356953960 451117484860 455771968820 472049539135 474451147870 487329993080 515562839840 520882250080 530470680992 542229883280 557908819664 577834134652 636982510640 660869354789 663088351240 697386024580 721787975776 722292668315 729235150112 755279262616 759121836592 786233330756 797012599520 826900572002 832591313120 866713907920 902234969720 911543937640 944099078270 948902295740 974659986160 982791663445 1011209735641 1084459766560 1115817639328 1155668269304 1273965021280 1321738709578 1326176702480 1375908328823 1394772049160 1444585336630 1510558525232 1518243673184 1572466661512 1653801144004 1733427815840 1804469939440 1823087875280 1888198156540 1897804591480 1949319972320 1965583326890 2022419471282 2067251430005 2311336538608 2643477419156 2652353404960 2751816657646 2789544098320 2889170673260 2894152002007 3021117050464 3144933323024 3304346773945 3307602288008 3608939878880 3646175750560 3776396313080 3795609182960 3931166653780 4044838942564 4134502860010 4622673077216 5056048678205 5286954838312 5503633315292 5579088196640 5778341346520 5788304004014 6289866646048 6608693547890 6615204576016 6879541644115 7552792626160 7591218365920 7862333307560 8089677885128 8269005720020 10112097356410 10573909676624 11007266630584 11556682693040 11576608008028 11990058294029 13217387095780 13230409152032 13759083288230 14470760010035 15105585252320 15724666615120 16179355770256 16538011440040 20224194712820 21147819353248 22014533261168 23113365386080 23153216016056 23980116588058 26434774191560 27518166576460 28941520020070 31449333230240 32358711540512 33076022880080 40448389425640 44029066522336 46306432032112 47960233176116 52869548383120 55036333152920 57883040040140 59950291470145 66152045760160 80896778851280 83930408058203 92612864064224 95920466352232 105739096766240 110072666305840 115766080080280 119900582940290 161793557702560 167860816116406 191840932704464 220145332611680 231532160160560 239801165880580 335721632232812 383681865408928 419652040291015 463064320321120 479602331761160 671443264465624 839304080582030 959204663522320 1342886528931248 1678608161164060 1918409327044640 2685773057862496 3357216322328120 6714432644656240 13428865289312480
- Sum of all divisors σ(n): 38904465568419360
- Sum of proper divisors (its aliquot sum) s(n): 25475600279106880
- 13428865289312480 is an abundant number, because the sum of its proper divisors (25475600279106880) is greater than itself. Its abundance is 12046734989794400
Bases of 13428865289312480
- Binary: 1011111011010101111011010110010100111001011000111000002
- Hexadecimal: 0x2FB57B594E58E0
- Base-36: 3O84VJQ89NK
Squares and roots of 13428865289312480
- 13428865289312480 squared (134288652893124802) is 180334422958501557172111083750400
- 13428865289312480 cubed (134288652893124803) is 2421686672935617149047084098013059771315924992000
-
The
square root of 13428865289312480 is 115882981.0166811337 -
The
cube root of 13428865289312480 is 237691.2013873671
Scales and comparisons
How big is 13428865289312480?- 13,428,865,289,312,480 seconds is equal to 426,996,377 years, 51 weeks, 4 days, 6 hours, 21 minutes, 20 seconds.
-
To count from 1 to 13,428,865,289,312,480 would take you about one billion, two hundred eighty million, nine hundred eighty-nine thousand, one hundred thirty-three 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 13428865289312480 cubic inches would be around 19807.6 feet tall.
Recreational maths with 13428865289312480
- 13428865289312480 backwards is 08421398256882431
- The number of decimal digits it has is: 17
- The sum of 13428865289312480's digits is 74
- More coming soon!
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"Number 13428865289312480 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 13428865289312480 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/13428865289312480/
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The information we have on file for 13428865289312480 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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