13689324891827200
13,689,324,891,827,200 is an even composite number composed of eight prime numbers multiplied together.
13689324891827200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 13689324891827200:
210 × 52 × 7 × 11 × 17 × 53 × 941 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 17 × 53 × 941 × 8191)See below for interesting mathematical facts about the number 13689324891827200 from the Numbermatics database.
Names of 13689324891827200
- Cardinal: 13689324891827200 can be written as Thirteen quadrillion, six hundred eighty-nine trillion, three hundred twenty-four billion, eight hundred ninety-one million, eight hundred twenty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.36893248918272 × 1016
Factors of 13689324891827200
Divisors of 13689324891827200
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 32 34 35 40 44 50 53 55 56 64 68 70 77 80 85 88 100 106 110 112 119 128 136 140 154 160 170 175 176 187 200 212 220 224 238 256 265 272 275 280 308 320 340 350 352 371 374 385 400 424 425 440 448 476 512 530 544 550 560 583 595 616 640 680 700 704 742 748 770 800 848 850 880 896 901 935 941 952 1024 1060 1088 1100 1120 1166 1190 1232 1280 1309 1325 1360 1400 1408 1484 1496 1540 1600 1696 1700 1760 1792 1802 1855 1870 1882 1904 1925 2120 2176 2200 2240 2332 2380 2464 2560 2618 2650 2720 2800 2816 2915 2968 2975 2992 3080 3200 3392 3400 3520 3584 3604 3710 3740 3764 3808 3850 4081 4240 4352 4400 4480 4505 4664 4675 4705 4760 4928 5120 5236 5300 5440 5600 5632 5830 5936 5950 5984 6160 6307 6400 6545 6587 6784 6800 7040 7168 7208 7420 7480 7528 7616 7700 8162 8191 8480 8704 8800 8960 9010 9275 9328 9350 9410 9520 9856 9911 10351 10472 10600 10880 11200 11264 11660 11872 11900 11968 12320 12614 12800 13090 13174 13568 13600 14080 14416 14575 14840 14960 15056 15232 15400 15997 16324 16382 16960 17408 17600 17920 18020 18550 18656 18700 18820 19040 19712 19822 20405 20702 20944 21200 21760 22400 22525 23320 23525 23744 23800 23936 24640 25228 25600 26180 26348 27136 27200 28160 28832 29150 29680 29920 30112 30464 30800 31535 31994 32648 32725 32764 32935 33920 35200 35840 36040 37100 37312 37400 37640 38080 39424 39644 40810 40955 41404 41888 42400 43520 44800 45050 46640 47050 47488 47600 47872 49280 49555 49873 50456 51755 52360 52696 54272 54400 56320 57337 57664 58300 59360 59840 60224 60928 61600 63070 63988 65296 65450 65528 65870 67840 69377 70400 72080 72457 74200 74624 74800 75280 76160 78848 79288 79985 81620 81910 82808 83776 84800 87040 89600 90100 90101 93280 94100 94976 95200 95744 98560 99110 99746 100912 102025 103510 104720 105392 108800 111979 114674 115328 116600 118720 119680 120448 121856 123200 126140 127976 130592 130900 131056 131740 135680 138754 139247 140800 144160 144914 148400 149248 149600 150560 152320 157675 158576 159970 163240 163820 164675 165616 167552 169600 175967 179200 180200 180202 186560 188200 189952 190400 191488 197120 198220 199492 201824 204050 204775 207020 209440 210784 217600 223958 229348 230656 233200 237440 239360 240896 246400 247775 249365 252280 255952 258775 261184 261800 262112 263480 271360 277508 278494 281600 286685 288320 289828 296800 298496 299200 301120 304640 315350 317152 319940 326480 327640 329350 331232 335104 339200 346885 349111 351934 360400 360404 362285 373120 376400 379904 380800 394240 396440 398984 399925 403648 408100 409550 414040 418880 421568 434123 435200 447916 450505 458696 461312 466400 474880 478720 481792 492800 495550 498730 504560 511904 517550 522368 523600 524224 526960 548603 555016 556988 559895 573370 576640 579656 593600 596992 598400 602240 609280 630700 630707 634304 639880 652960 655280 658700 662464 670208 678400 693770 696235 698222 703868 720800 720808 724570 746240 752800 761600 792880 797968 799850 807296 816200 819100 828080 837760 843136 847841 868246 879835 895832 901010 917392 922624 932800 949760 957440 963584 974729 985600 991100 997460 1009120 1023808 1035100 1044736 1047200 1048448 1053920 1097206 1110032 1113976 1119790 1146740 1153280 1159312 1187200 1196800 1204480 1231769 1246825 1261400 1261414 1268608 1279760 1305920 1310560 1317400 1324928 1340416 1356800 1387540 1392470 1396444 1407736 1433425 1441600 1441616 1449140 1492480 1505600 1523200 1531717 1585760 1595936 1599700 1614592 1632400 1638200 1656160 1675520 1686272 1695682 1734425 1736492 1745555 1759670 1791664 1802020 1811425 1834784 1865600 1899520 1949458 1971200 1982200 1994920 2018240 2047616 2070200 2089472 2094400 2096896 2107840 2170615 2194412 2220064 2227952 2239580 2252525 2293480 2306560 2318624 2374400 2393600 2408960 2463538 2493650 2522800 2522828 2537216 2559520 2611840 2621120 2634800 2649856 2743015 2775080 2784940 2792888 2799475 2815472 2866850 2883200 2883232 2898280 2984960 3011200 3038861 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36033642425 36369088448 36688799560 37786065920 37983276800 37983698368 38897420800 39211955200 39463582720 40357679516 40850974300 41328509600 41564672512 41781604480 41930056640 42787162880 43163293600 43409940992 44936071730 45461360560 45753091216 45860999450 46123062304 47232582400 47479622960 47750405120 48612659417 49154828800 49329478400 50447099395 51955840640 52227005600 52289247104 52412570800 52900492288 53483953600 54262426240 54896737280 55249015808 55557325048 56826700700 57191364020 57653827880 58702079296 59349528700 59688006400 61124518400 62910500422 64944800800 65361558880 66125615360 66850567168 67088090624 67828032800 68620921600 69061269760 69446656310 71489205025 71897714768 72067284850 72738176896 73377599120 75966553600 75967396736 76391321941 77794841600 80715359032 81701948600 82657019200 83129345024 83563208960 83860113280 85574325760 86326587200 86819881984 89872143460 90922721120 91506182432 91721998900 92246124608 94465164800 94959245920 97225318834 98309657600 98658956800 100894198790 103911681280 104454011200 104578494208 104825141600 106967907200 108524852480 111114650096 112340179325 113653401400 114382728040 115307655760 117404158592 118699057400 119376012800 122249036800 125821000844 129889601600 130723117760 132251230720 134176181248 135656065600 137241843200 138122539520 138893312620 142978410050 143795429536 144134569700 145476353792 146755198240 151933107200 151934793472 152782643882 157276251055 161430718064 163403897200 165314038400 167126417920 167720226560 171148651520 172653174400 173616640775 179744286920 181845442240 183012364864 183443997800 184492249216 188930329600 189918491840 194450637668 197317913600 201788397580 207823362560 208908022400 209156988416 209650283200 213935814400 217049704960 222229300192 224680358650 227306802800 228765456080 230615311520 234808317184 237398114800 238752025600 243063297085 251642001688 252235496975 259779203200 261446235520 264502461440 271312131200 274483686400 276245079040 277786625240 285956820100 287590859072 288269139400 290952707584 293510396480 303869586944 305565287764 314552502110 322861436128 326807794400 330628076800 334252835840 335440453120 345306348800 347233281550 359488573840 363690884480 366024729728 366887995600 368984498432 379836983680 381956609705 388901275336 403576795160 415646725120 417816044800 418313976832 419300566400 427871628800 434099409920 444458600384 449360717300 454613605600 457530912160 461230623040 469616634368 474796229600 486126594170 503284003376 504470993950 519558406400 522892471040 534739253587 542624262400 555573250480 571913640200 575181718144 576538278800 581905415168 587020792960 607739173888 611130575528 629105004220 645722872256 653615588800 661256153600 670880906240 690612697600 694466563100 718977147680 727381768960 732049459456 733775991200 737968996864 759673967360 763913219410 777802550672 786381255275 807153590320 835632089600 838601132800 855743257600 888917200768 898721434600 909227211200 915061824320 922461246080 939233268736 949592459200 972253188340 1006568006752 1008941987900 1039116812800 1045784942080 1069478507174 1085248524800 1111146500960 1143827280400 1150363436288 1153076557600 1174041585920 1215316485425 1222261151056 1258210008440 1291445744512 1307231177600 1322512307200 1381225395200 1388933126200 1437954295360 1454763537920 1464098918912 1467551982400 1475937993728 1519347934720 1527826438820 1555605101344 1572762510550 1614307180640 1671264179200 1677202265600 1777834401536 1797442869200 1818454422400 1830123648640 1844922492160 1899184918400 1909783048525 1944506376680 2013136013504 2017883975800 2078233625600 2091569884160 2138957014348 2170497049600 2222293001920 2287654560800 2300726872576 2306153115200 2348083171840 2430632970850 2444522302112 2516420016880 2582891489024 2614462355200 2673696267935 2777866252400 2875908590720 2909527075840 2928197837824 2935103964800 3038695869440 3055652877640 3111210202688 3145525021100 3228614361280 3354404531200 3555668803072 3594885738400 3636908844800 3660247297280 3689844984320 3798369836800 3819566097050 3889012753360 4026272027008 4035767951600 4277914028696 4444586003840 4575309121600 4601453745152 4612306230400 4696166343680 4861265941700 4889044604224 5032840033760 5165782978048 5228924710400 5347392535870 5555732504800 5751817181440 5870207929600 6111305755280 6222420405376 6291050042200 6457228722560 7111337606144 7189771476800 7273817689600 7320494594560 7379689968640 7596739673600 7639132194100 7778025506720 8052544054016 8071535903200 8555828057392 8889172007680 9150618243200 9224612460800 9722531883400 9778089208448 10065680067520 10331565956096 10457849420800 10694785071740 11111465009600 11503634362880 11740415859200 12222611510560 12444840810752 12582100084400 12914457445120 13368481339675 14379542953600 14547635379200 14640989189120 15193479347200 15278264388200 15556051013440 16105088108032 16143071806400 17111656114784 17778344015360 18301236486400 18449224921600 19445063766800 19556178416896 20131360135040 21389570143480 22222930019200 23007268725760 23480831718400 24445223021120 24889681621504 25164200168800 25828914890240 26736962679350 28759085907200 30556528776400 31112102026880 32210176216064 32286143612800 34223312229568 35556688030720 36602472972800 36898449843200 38890127533600 39112356833792 40262720270080 42779140286960 44445860038400 48890446042240 49779363243008 50328400337600 51657829780480 53473925358700 57518171814400 61113057552800 62224204053760 64572287225600 68446624459136 73204945945600 77780255067200 78224713667584 80525440540160 85558280573920 88891720076800 97780892084480 100656800675200 106947850717400 115036343628800 122226115105600 124448408107520 129144574451200 136893248918272 155560510134400 161050881080320 171116561147840 177783440153600 195561784168960 201313601350400 213895701434800 244452230211200 248896816215040 258289148902400 273786497836544 311121020268800 342233122295680 391123568337920 402627202700800 427791402869600 488904460422400 547572995673088 622242040537600 684466244591360 805254405401600 855582805739200 977808920844800 1244484081075200 1368932489182720 1711165611478400 1955617841689600 2737864978365440 3422331222956800 6844662445913600 13689324891827200
- Sum of all divisors σ(n): 45693863592984576
- Sum of proper divisors (its aliquot sum) s(n): 32004538701157376
- 13689324891827200 is an abundant number, because the sum of its proper divisors (32004538701157376) is greater than itself. Its abundance is 18315213809330176
Bases of 13689324891827200
- Binary: 1100001010001001011110010100110110010001101100000000002
- Hexadecimal: 0x30A25E53646C00
- Base-36: 3QSGL1CP69S
Squares and roots of 13689324891827200
- 13689324891827200 squared (136893248918272002) is 187397615993999780981354659840000
- 13689324891827200 cubed (136893248918272003) is 2565346849295736216386843370674326652059648000000
-
The
square root of 13689324891827200 is 117001388.4183739077 -
The
cube root of 13689324891827200 is 239218.0854678271
Scales and comparisons
How big is 13689324891827200?- 13,689,324,891,827,200 seconds is equal to 435,278,187 years, 36 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 13,689,324,891,827,200 would take you about one billion, three hundred five million, eight hundred thirty-four thousand, five hundred sixty-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 13689324891827200 cubic inches would be around 19934.8 feet tall.
Recreational maths with 13689324891827200
- 13689324891827200 backwards is 00272819842398631
- The number of decimal digits it has is: 17
- The sum of 13689324891827200's digits is 73
- More coming soon!
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The information we have on file for 13689324891827200 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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