13148528447488000
13,148,528,447,488,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13148528447488000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1024 divisors.
13148528447488000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 13148528447488000:
215 × 53 × 7 × 29 × 2513
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 29 × 251 × 251 × 251)See below for interesting mathematical facts about the number 13148528447488000 from the Numbermatics database.
Names of 13148528447488000
- Cardinal: 13148528447488000 can be written as Thirteen quadrillion, one hundred forty-eight trillion, five hundred twenty-eight billion, four hundred forty-seven million, four hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.3148528447488 × 1016
Factors of 13148528447488000
Divisors of 13148528447488000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 64 70 80 100 112 116 125 128 140 145 160 175 200 203 224 232 250 251 256 280 290 320 350 400 406 448 464 500 502 512 560 580 640 700 725 800 812 875 896 928 1000 1004 1015 1024 1120 1160 1255 1280 1400 1450 1600 1624 1750 1757 1792 1856 2000 2008 2030 2048 2240 2320 2510 2560 2800 2900 3200 3248 3500 3514 3584 3625 3712 4000 4016 4060 4096 4480 4640 5020 5075 5120 5600 5800 6275 6400 6496 7000 7028 7168 7250 7279 7424 8000 8032 8120 8192 8785 8960 9280 10040 10150 10240 11200 11600 12550 12800 12992 14000 14056 14336 14500 14558 14848 16000 16064 16240 16384 17570 17920 18560 20080 20300 20480 22400 23200 25100 25375 25600 25984 28000 28112 28672 29000 29116 29696 31375 32000 32128 32480 32768 35140 35840 36395 37120 40160 40600 40960 43925 44800 46400 50200 50750 50953 51200 51968 56000 56224 57344 58000 58232 59392 62750 63001 64000 64256 64960 70280 71680 72790 74240 80320 81200 81920 87850 89600 92800 100400 101500 101906 102400 103936 112000 112448 114688 116000 116464 118784 125500 126002 128000 128512 129920 140560 143360 145580 148480 160640 162400 163840 175700 179200 181975 185600 200800 203000 203812 204800 207872 219625 224000 224896 229376 232000 232928 237568 251000 252004 254765 256000 257024 259840 281120 286720 291160 296960 315005 321280 324800 351400 358400 363950 371200 401600 406000 407624 409600 415744 439250 441007 448000 449792 464000 465856 475136 502000 504008 509530 512000 514048 519680 562240 573440 582320 593920 630010 642560 649600 702800 716800 727900 742400 803200 812000 815248 819200 831488 878500 882014 896000 899584 909875 928000 931712 950272 1004000 1008016 1019060 1024000 1028096 1039360 1124480 1146880 1164640 1187840 1260020 1273825 1285120 1299200 1405600 1433600 1455800 1484800 1575025 1606400 1624000 1630496 1662976 1757000 1764028 1792000 1799168 1819750 1827029 1856000 1863424 2008000 2016032 2038120 2048000 2056192 2078720 2205035 2248960 2329280 2375680 2520040 2547650 2570240 2598400 2811200 2867200 2911600 2969600 3150050 3212800 3248000 3260992 3325952 3514000 3528056 3584000 3598336 3639500 3654058 3712000 3726848 4016000 4032064 4076240 4096000 4112384 4157440 4410070 4497920 4658560 4751360 5040080 5095300 5140480 5196800 5622400 5734400 5823200 5939200 6300100 6369125 6425600 6496000 6521984 6651904 7028000 7056112 7168000 7196672 7279000 7308116 7424000 7453696 7875125 8032000 8064128 8152480 8224768 8314880 8820140 8995840 9135145 9317120 10080160 10190600 10280960 10393600 11025175 11244800 11646400 11878400 12600200 12738250 12789203 12851200 12992000 13043968 14056000 14112224 14336000 14393344 14558000 14616232 14848000 14907392 15750250 15813251 16064000 16128256 16304960 16629760 17640280 17991680 18270290 18634240 20160320 20381200 20561920 20787200 22050350 22489600 23292800 23756800 25200400 25476500 25578406 25702400 25984000 26087936 28112000 28224448 28672000 28786688 29116000 29232464 29696000 29814784 31500500 31626502 32128000 32256512 32609920 33259520 35280560 35983360 36540580 37268480 40320640 40762400 41123840 41574400 44100700 44979200 45675725 46585600 50400800 50953000 51156812 51404800 51968000 52175872 55125875 56224000 56448896 57573376 58232000 58464928 59392000 59629568 63001000 63253004 63946015 64256000 64513024 65219840 70561120 71966720 73081160 74536960 79066255 80641280 81524800 83148800 88201400 89958400 91351450 93171200 100801600 101906000 102313624 102809600 103936000 104351744 110251750 110692757 112448000 112897792 116464000 116929856 118784000 119259136 126002000 126506008 127892030 128512000 129026048 130439680 141122240 143933440 146162320 149073920 158132510 161282560 163049600 166297600 176402800 179916800 182702900 186342400 201603200 203812000 204627248 205619200 207872000 208703488 220503500 221385514 224896000 225795584 228378625 232928000 233859712 238518272 252004000 253012016 255784060 257024000 258052096 260879360 282244480 287866880 292324640 298147840 316265020 319730075 322565120 326099200 352805600 359833600 365405800 372684800 395331275 403206400 407624000 409254496 415744000 417406976 441007000 442771028 449792000 451591168 456757250 458584279 465856000 467719424 504008000 506024032 511568120 514048000 516104192 521758720 553463785 564488960 584649280 596295680 632530040 639460150 645130240 652198400 705611200 719667200 730811600 745369600 790662550 806412800 815248000 818508992 831488000 834813952 882014000 885542056 899584000 903182336 913514500 917168558 931712000 935438848 1008016000 1012048064 1023136240 1028096000 1032208384 1043517440 1106927570 1128977920 1169298560 1192591360 1265060080 1278920300 1290260480 1304396800 1411222400 1439334400 1461623200 1490739200 1581325100 1598650375 1612825600 1630496000 1637017984 1669627904 1764028000 1771084112 1799168000 1806364672 1827029000 1834337116 1863424000 1870877696 1976656375 2016032000 2024096128 2046272480 2064416768 2087034880 2213855140 2257955840 2292921395 2338597120 2530120160 2557840600 2580520960 2608793600 2767318925 2822444800 2923246400 2981478400 3162650200 3197300750 3210089953 3225651200 3260992000 3274035968 3528056000 3542168224 3598336000 3612729344 3654058000 3668674232 3726848000 3741755392 3953312750 4032064000 4048192256 4092544960 4174069760 4427710280 4515911680 4585842790 4677194240 5060240320 5115681200 5161041920 5217587200 5534637850 5644889600 5846492800 5962956800 6325300400 6394601500 6420179906 6451302400 6521984000 6548071936 7056112000 7084336448 7196672000 7225458688 7308116000 7337348464 7453696000 7483510784 7906625500 8064128000 8096384512 8185089920 8348139520 8855420560 9031823360 9171685580 9354388480 10120480640 10231362400 10322083840 10435174400 11069275700 11289779200 11464606975 11692985600 12650600800 12789203000 12840359812 12902604800 13043968000 13096143872 13836594625 14112224000 14168672896 14450917376 14616232000 14674696928 14907392000 14967021568 15813251000 16050449765 16128256000 16192769024 16370179840 17710841120 18063646720 18343371160 18708776960 20240961280 20462724800 20870348800 22138551400 22579558400 22929213950 23385971200 25301201600 25578406000 25680719624 25805209600 26087936000 26192287744 27673189250 28224448000 28337345792 29232464000 29349393856 29814784000 29934043136 31626502000 32100899530 32256512000 32385538048 32740359680 35421682240 36127293440 36686742320 37417553920 40481922560 40925449600 41740697600 44277102800 45159116800 45858427900 46771942400 50602403200 51156812000 51361439248 51610419200 52175872000 52384575488 55346378500 56448896000 56674691584 57323034875 58464928000 58698787712 59868086272 63253004000 64201799060 64513024000 64771076096 65480719360 70843364480 72254586880 73373484640 74835107840 80252248825 80963845120 81850899200 88554205600 90318233600 91716855800 93543884800 101204806400 102313624000 102722878496 104351744000 104769150976 110692757000 112897792000 113349383168 114646069750 116929856000 117397575424 126506008000 128403598120 129026048000 129542152192 130961438720 141686728960 146746969280 149670215680 160504497650 161927690240 163701798400 177108411200 180636467200 183433711600 187087769600 202409612800 204627248000 205445756992 208703488000 209538301952 221385514000 225795584000 226698766336 229292139500 233859712000 234795150848 253012016000 256807196240 258052096000 259084304384 261922877440 283373457920 293493938560 299340431360 321008995300 323855380480 327403596800 354216822400 361272934400 366867423200 374175539200 401261244125 404819225600 409254496000 410891513984 419076603904 442771028000 451591168000 453397532672 458584279000 467719424000 469590301696 506024032000 513614392480 518168608768 523845754880 566746915840 586987877120 642017990600 647710760960 654807193600 708433644800 733734846400 748351078400 802522488250 809638451200 818508992000 821783027968 885542056000 903182336000 906795065344 917168558000 935438848000 939180603392 1012048064000 1027228784960 1047691509760 1133493831680 1173975754240 1284035981200 1295421521920 1309614387200 1416867289600 1467469692800 1496702156800 1605044976500 1619276902400 1637017984000 1643566055936 1771084112000 1806364672000 1813590130688 1834337116000 1870877696000 1878361206784 2024096128000 2054457569920 2095383019520 2266987663360 2347951508480 2568071962400 2590843043840 2619228774400 2833734579200 2934939385600 3210089953000 3238553804800 3274035968000 3287132111872 3542168224000 3627180261376 3668674232000 3741755392000 3756722413568 4048192256000 4108915139840 4533975326720 4695903016960 5136143924800 5238457548800 5667469158400 5869878771200 6420179906000 6477107609600 6548071936000 6574264223744 7084336448000 7337348464000 7483510784000 7513444827136 8096384512000 8217830279680 9067950653440 9391806033920 10272287849600 10476915097600 11334938316800 11739757542400 12840359812000 12954215219200 13096143872000 13148528447488 14168672896000 14674696928000 15026889654272 16192769024000 16435660559360 18135901306880 18783612067840 20544575699200 22669876633600 23479515084800 25680719624000 26192287744000 26297056894976 28337345792000 29349393856000 32385538048000 32871321118720 37567224135680 41089151398400 45339753267200 46959030169600 51361439248000 52384575488000 52594113789952 56674691584000 58698787712000 64771076096000 65742642237440 75134448271360 82178302796800 90679506534400 93918060339200 102722878496000 105188227579904 113349383168000 117397575424000 131485284474880 164356605593600 187836120678400 205445756992000 226698766336000 234795150848000 262970568949760 328713211187200 375672241356800 410891513984000 453397532672000 469590301696000 525941137899520 657426422374400 821783027968000 939180603392000 1314852844748800 1643566055936000 1878361206784000 2629705689497600 3287132111872000 6574264223744000 13148528447488000
- Sum of all divisors σ(n): 38955072860121600
- Sum of proper divisors (its aliquot sum) s(n): 25806544412633600
- 13148528447488000 is an abundant number, because the sum of its proper divisors (25806544412633600) is greater than itself. Its abundance is 12658015965145600
Bases of 13148528447488000
- Binary: 1011101011011010000100010101110110111010000000000000002
- Hexadecimal: 0x2EB684576E8000
- Base-36: 3LGRIKWOUF4
Squares and roots of 13148528447488000
- 13148528447488000 squared (131485284474880002) is 172883800334401195573510144000000
- 13148528447488000 cubed (131485284474880003) is 2273167566806709527272296391466939318272000000000
-
The
square root of 13148528447488000 is 114667032.9584227099 -
The
cube root of 13148528447488000 is 236025.5672739033
Scales and comparisons
How big is 13148528447488000?- 13,148,528,447,488,000 seconds is equal to 418,082,533 years, 29 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,148,528,447,488,000 would take you about one billion, two hundred fifty-four million, two hundred forty-seven thousand, six hundred 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 13148528447488000 cubic inches would be around 19668.8 feet tall.
Recreational maths with 13148528447488000
- 13148528447488000 backwards is 00088474482584131
- The number of decimal digits it has is: 17
- The sum of 13148528447488000's digits is 67
- More coming soon!
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The information we have on file for 13148528447488000 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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