13385017984800
13,385,017,984,800 is an even composite number composed of eight prime numbers multiplied together.
13385017984800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13385017984800:
25 × 3 × 52 × 7 × 11 × 127 × 331 × 1723
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 127 × 331 × 1723)See below for interesting mathematical facts about the number 13385017984800 from the Numbermatics database.
Names of 13385017984800
- Cardinal: 13385017984800 can be written as Thirteen trillion, three hundred eighty-five billion, seventeen million, nine hundred eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.33850179848 × 1013
Factors of 13385017984800
Divisors of 13385017984800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 50 55 56 60 66 70 75 77 80 84 88 96 100 105 110 112 120 127 132 140 150 154 160 165 168 175 176 200 210 220 224 231 240 254 264 275 280 300 308 330 331 336 350 352 381 385 400 420 440 462 480 508 525 528 550 560 600 616 635 660 662 672 700 762 770 800 825 840 880 889 924 993 1016 1050 1056 1100 1120 1155 1200 1232 1270 1320 1324 1397 1400 1524 1540 1650 1655 1680 1723 1760 1778 1848 1905 1925 1986 2032 2100 2200 2310 2317 2400 2464 2540 2640 2648 2667 2794 2800 3048 3080 3175 3300 3310 3360 3446 3556 3641 3696 3810 3850 3972 4064 4191 4200 4400 4445 4620 4634 4965 5080 5169 5280 5296 5334 5588 5600 5775 6096 6160 6350 6600 6620 6892 6951 6985 7112 7282 7392 7620 7700 7944 8275 8382 8400 8615 8800 8890 9240 9268 9525 9779 9930 10160 10338 10592 10668 10923 11176 11550 11585 12061 12192 12320 12700 13200 13240 13335 13784 13902 13970 14224 14564 15240 15400 15888 16550 16764 16800 17230 17780 18205 18480 18536 18953 19050 19558 19860 20320 20676 20955 21336 21846 22225 22352 23100 23170 24122 24825 25400 25487 25845 26400 26480 26670 27568 27804 27940 28448 29128 29337 30480 30800 31776 33100 33528 34460 34755 34925 35560 36183 36410 36960 37072 37906 38100 39116 39720 41352 41910 42037 42672 43075 43692 44450 44704 46200 46340 48244 48895 49650 50800 50974 51690 52960 53340 54615 55136 55608 55880 56859 57925 58256 58674 60305 60960 61600 66200 66675 67056 68920 69510 69850 71120 72366 72820 74144 75812 76200 76461 78232 79440 82704 83820 84074 85344 86150 87384 88900 91025 92400 92680 94765 96488 97790 99300 101600 101948 103380 104775 106680 109230 111216 111760 113718 115850 116512 117348 120610 126111 127435 129225 132400 132671 133350 134112 137840 139020 139700 142240 144732 145640 146685 151624 152400 152922 156464 158880 165408 167640 168148 172300 173775 174768 177800 180915 182050 184800 185360 189530 192976 195580 198600 203896 206760 209550 210185 213360 218460 218821 222432 223520 227436 231700 234696 241220 244475 252222 254870 258450 264800 265342 266700 273075 275680 278040 279400 284295 289464 291280 293370 294259 301525 303248 304800 305844 312928 335280 336296 344600 347550 349536 355600 361830 364100 370720 379060 382305 385952 391160 397200 398013 407792 413520 419100 420370 426720 436920 437642 454872 462407 463400 469392 473825 482440 488950 504444 509740 516900 530684 533400 546150 556080 558800 568590 570313 578928 582560 586740 588518 603050 606496 611688 630555 637175 656463 663355 670560 672592 689200 695100 711200 723660 728200 733425 758120 764610 782320 794400 796026 815584 827040 838200 840740 873840 875284 882777 904575 909744 924814 926800 938784 947650 964880 977900 1008888 1019480 1033800 1050925 1061368 1066800 1092300 1094105 1112160 1117600 1137180 1140626 1157856 1173480 1177036 1206100 1223376 1261110 1274350 1312926 1326710 1345184 1378400 1387221 1390200 1421475 1447320 1456400 1466850 1471295 1516240 1529220 1531747 1564640 1592052 1676400 1681480 1710939 1747680 1750568 1765554 1809150 1819488 1849628 1853600 1895300 1911525 1929760 1955800 1990065 2017776 2038960 2067600 2101850 2122736 2133600 2184600 2188210 2274360 2281252 2312035 2346960 2354072 2407031 2412200 2446752 2522220 2548700 2625852 2653420 2774442 2780400 2842950 2851565 2894640 2912800 2933700 2942590 3032480 3058440 3063494 3152775 3184104 3236849 3282315 3316775 3352800 3362960 3421878 3501136 3531108 3618300 3699256 3790600 3823050 3911600 3980130 3992191 4035552 4077920 4135200 4203700 4245472 4369200 4376420 4413885 4548720 4562504 4595241 4624070 4693920 4708144 4814062 4824400 5044440 5097400 5251704 5306840 5470525 5548884 5560800 5685900 5703130 5789280 5867400 5885180 6116880 6126988 6273443 6305550 6368208 6473698 6564630 6633550 6725920 6843756 6936105 7002272 7062216 7221093 7236600 7356475 7398512 7581200 7646100 7658735 7823200 7960260 7984382 8407400 8554695 8738400 8752840 8827770 9097440 9125008 9190482 9248140 9416288 9628124 9648800 9710547 9950325 10088880 10194800 10503408 10613680 10941050 11097768 11371800 11406260 11560175 11734800 11770360 11976573 12035155 12233760 12253976 12546886 12611100 12736416 12947396 13129260 13267100 13687512 13872210 14124432 14257825 14442186 14473200 14712950 14797024 15162400 15292200 15317470 15920520 15968764 16184245 16411575 16814800 16849217 17109390 17505680 17655540 18250016 18380964 18496280 18820329 19256248 19421094 19900650 19960955 20177760 20389600 21006816 21227360 21882100 22069425 22195536 22743600 22812520 22976205 23120350 23469600 23540720 23953146 24070310 24507952 25093772 25222200 25894792 26258520 26534200 27375024 27744420 28248864 28515650 28884372 28946400 29425900 30584400 30634940 31367215 31841040 31937528 32368490 32823150 33629600 33698434 34218780 34680525 35011360 35311080 36105465 36761928 36992560 37640658 38293675 38512496 38842188 39801300 39921910 42773475 43764200 43914101 44138850 44391072 45487200 45625040 45952410 46240700 47081440 47906292 48140620 48552735 49015904 50187544 50444400 50547651 51789584 52517040 53068400 54750048 55488840 57031300 57768744 58851800 59882865 60175775 61168800 61269880 62734430 63682080 63875056 64736980 65646300 67396868 68437560 69361050 70622160 72210930 72429751 73523856 73985120 75281316 76587350 77024992 77684376 79602600 79843820 80921225 84246085 85546950 87528400 87828202 88277700 91250080 91904820 92481400 94101645 95812584 96281240 97105470 99804775 100375088 100888800 101095302 103579168 105034080 106136800 110977680 114062600 114881025 115537488 117703600 119765730 120351550 122539760 125468860 127750112 129473960 131292600 131742303 134793736 136875120 138722100 141244320 144421860 144859502 147047712 150562632 153174700 155368752 156836075 159205200 159687640 161842450 168492170 171093900 175056800 175656404 176555400 180527325 183809640 184962800 188203290 191625168 192562480 194210940 199609550 200750176 202190604 217289253 219570505 221955360 228125200 229762050 231074976 235407200 239531460 240703100 242763675 245079520 250937720 252738255 258947920 262585200 263484606 269587472 273750240 277444200 288843720 289719004 299414325 301125264 306349400 310737504 313672150 318410400 319375280 323684900 336984340 342187800 351312808 353110800 361054650 362148755 367619280 369925600 376406580 383250336 385124960 388421880 399219100 404381208 421230425 434578506 439141010 456250400 459524100 470508225 479062920 481406200 485527350 501875440 505476510 507008257 517895840 525170400 526969212 539174944 554888400 577687440 579438008 598828650 602250528 612698800 627344300 638750560 647369800 658711515 673968680 684375600 702625616 706221600 722109300 724297510 735238560 752813160 776843760 796727261 798438200 808762416 842460850 869157012 878282020 919048200 941016450 958125840 962812400 971054700 1003750880 1010953020 1014016514 1053938424 1086446265 1097852525 1109776800 1155374880 1158876016 1197657300 1225397600 1254688600 1263691275 1294739600 1317423030 1347937360 1368751200 1405251232 1444218600 1448595020 1505626320 1521024771 1553687520 1593454522 1596876400 1617524832 1684921700 1738314024 1756564040 1810743775 1838096400 1882032900 1916251680 1925624800 1942109400 2021906040 2028033028 2107876848 2172892530 2195705050 2317752032 2390181783 2395314600 2509377200 2527382550 2535041285 2589479200 2634846060 2695874720 2888437200 2897190040 3011252640 3042049542 3186909044 3193752800 3293557575 3369843400 3476628048 3513128080 3621487550 3676192800 3764065800 3884218800 3983636305 4043812080 4056066056 4215753696 4345785060 4391410100 4780363566 4790629200 5018754400 5054765100 5070082570 5269692120 5432231325 5577090827 5776874400 5794380080 6084099084 6373818088 6587115150 6739686800 6953256096 7026256160 7242975100 7528131600 7605123855 7768437600 7967272610 8087624160 8112132112 8691570120 8782820200 9560727132 9581258400 10109530200 10140165140 10539384240 10864462650 11154181654 11588760160 11950908915 12168198168 12675206425 12747636176 13174230300 13479373600 14485950200 15056263200 15210247710 15934545220 16224264224 16731272481 17383140240 17565640400 19121454264 19918181525 20219060400 20280330280 21078768480 21728925300 22308363308 23901817830 24336396336 25350412850 25495272352 26348460600 27885454135 28971900400 30420495420 31869090440 33462544962 34766280480 35131280800 38025619275 38242908528 39836363050 40438120800 40560660560 43457850600 44616726616 47803635660 48672792672 50700825700 52696921200 55770908270 57943800800 59754544575 60840990840 63738180880 66925089924 76051238550 76485817056 79672726100 81121321120 83656362405 86915701200 89233453232 95607271320 101401651400 105393842400 111541816540 119509089150 121681981680 127476361760 133850179848 139427270675 152102477100 159345452200 167312724810 173831402400 178466906464 191214542640 202803302800 223083633080 239018178300 243363963360 267700359696 278854541350 304204954200 318690904400 334625449620 382429085280 405606605600 418281812025 446167266160 478036356600 535400719392 557709082700 608409908400 637381808800 669250899240 836563624050 892334532320 956072713200 1115418165400 1216819816800 1338501798480 1673127248100 1912145426400 2230836330800 2677003596960 3346254496200 4461672661600 6692508992400 13385017984800
- Sum of all divisors σ(n): 54943811371008
- Sum of proper divisors (its aliquot sum) s(n): 41558793386208
- 13385017984800 is an abundant number, because the sum of its proper divisors (41558793386208) is greater than itself. Its abundance is 28173775401408
Bases of 13385017984800
- Binary: 110000101100011100010011111000000111001000002
- Hexadecimal: 0xC2C713E0720
- Base-36: 4QSZQ47XC
Squares and roots of 13385017984800
- 13385017984800 squared (133850179848002) is 179158706453419453031040000
- 13385017984800 cubed (133850179848003) is 2398042508012523202278649272648192000000
-
The
square root of 13385017984800 is 3658554.0838970797 -
The
cube root of 13385017984800 is 23743.2219903443
Scales and comparisons
How big is 13385017984800?- 13,385,017,984,800 seconds is equal to 425,602 years, 8 weeks, 5 days, 15 hours, 20 minutes.
-
To count from 1 to 13,385,017,984,800 would take you about one million, sixty-four thousand and five 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 13385017984800 cubic inches would be around 1978.6 feet tall.
Recreational maths with 13385017984800
- 13385017984800 backwards is 00848971058331
- The number of decimal digits it has is: 14
- The sum of 13385017984800's digits is 57
- More coming soon!
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The information we have on file for 13385017984800 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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