13188121114001400
13,188,121,114,001,400 is an even composite number composed of six prime numbers multiplied together.
13188121114001400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 13188121114001400:
23 × 36 × 52 × 7 × 413 × 4332
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 41 × 41 × 41 × 433 × 433)See below for interesting mathematical facts about the number 13188121114001400 from the Numbermatics database.
Names of 13188121114001400
- Cardinal: 13188121114001400 can be written as Thirteen quadrillion, one hundred eighty-eight trillion, one hundred twenty-one billion, one hundred fourteen million, one thousand, four hundred.
Scientific notation
- Scientific notation: 1.31881211140014 × 1016
Factors of 13188121114001400
Divisors of 13188121114001400
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 41 42 45 50 54 56 60 63 70 72 75 81 82 84 90 100 105 108 120 123 126 135 140 150 162 164 168 175 180 189 200 205 210 216 225 243 246 252 270 280 287 300 315 324 328 350 360 369 378 405 410 420 433 450 486 492 504 525 540 567 574 600 615 630 648 675 700 729 738 756 810 820 840 861 866 900 945 972 984 1025 1050 1080 1107 1134 1148 1215 1230 1260 1299 1350 1400 1435 1458 1476 1512 1575 1620 1640 1681 1701 1722 1732 1800 1845 1890 1944 2025 2050 2100 2165 2214 2268 2296 2430 2460 2520 2583 2598 2700 2835 2870 2916 2952 3031 3075 3150 3240 3321 3362 3402 3444 3464 3645 3690 3780 3897 4050 4100 4200 4305 4330 4428 4536 4725 4860 4920 5043 5103 5166 5196 5400 5535 5670 5740 5832 6062 6075 6150 6300 6495 6642 6724 6804 6888 7175 7290 7380 7560 7749 7794 8100 8200 8405 8505 8610 8660 8856 9093 9225 9450 9720 9963 10086 10206 10332 10392 10825 11070 11340 11480 11691 11767 12124 12150 12300 12600 12915 12990 13284 13448 13608 14175 14350 14580 14760 15129 15155 15498 15588 16200 16605 16810 17010 17220 17320 17753 18186 18225 18450 18900 19485 19926 20172 20412 20664 21525 21650 22140 22680 23247 23382 23534 24248 24300 24600 25215 25515 25830 25980 26568 27279 27675 28350 28700 29160 29889 30258 30310 30996 31176 32475 33210 33620 34020 34440 35073 35301 35506 36372 36450 36900 37800 38745 38970 39852 40344 40824 42025 42525 43050 43300 44280 45387 45465 46494 46764 47068 48600 49815 50430 51030 51660 51960 53259 54558 55350 56700 57400 58455 58835 59778 60516 60620 61992 64575 64950 66420 67240 68040 68921 69741 70146 70602 71012 72744 72900 73800 75645 75775 77490 77940 79704 81837 83025 84050 85050 86100 86600 88765 90774 90930 92988 93528 94136 97425 99630 100860 102060 103320 105219 105903 106518 109116 110700 113400 116235 116910 117670 119556 121032 121240 124271 126075 127575 129150 129900 132840 136161 136395 137842 139482 140292 141204 142024 145800 149445 151290 151550 154980 155880 159777 163674 166050 168100 170100 172200 175365 176505 177530 181548 181860 185976 187489 193725 194850 199260 201720 204120 206763 209223 210438 211806 213036 218232 221400 226935 227325 232470 233820 235340 239112 245511 248542 249075 252150 255150 258300 259800 266295 272322 272790 275684 278964 280584 282408 292275 294175 298890 302580 303100 309960 315657 317709 319554 327348 332100 336200 340200 344605 348705 350730 353010 355060 363096 363720 372813 374978 378225 387450 389700 398520 408483 409185 413526 418446 420876 423612 426072 443825 453870 454650 464940 467640 470680 479331 482447 491022 497084 498150 504300 510300 516600 526095 529515 532590 544644 545580 551368 557928 562467 581175 584550 588350 597780 605160 606200 620289 621355 631314 635418 639108 654696 664200 680805 681975 689210 697410 701460 706020 710120 727873 736533 745626 747225 749956 756450 774900 779400 798885 816966 818370 827052 836892 841752 847224 876825 882525 887650 907740 909300 929880 937445 953127 958662 964894 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30952799325 31132548450 31334932650 31516900900 31891878900 32230216440 32285605800 33092745945 33841727262 34038252972 34868454264 35170386300 35374627800 36258993495 36321306525 37143359190 37359058140 37601919180 37820281080 38270254680 38765788107 39227011047 39711295134 40287770550 41270399100 41510064600 41779910200 42547816215 43510792194 43585567830 44123661260 44830869768 45122303016 46698822675 47002398975 47275351350 47837818350 48345324660 48428408700 49524478920 50762590893 51057379458 51687717476 52302681396 52948393512 53061941700 53717027400 55154576575 56038587210 56402878770 56730421620 58014389592 58114090440 59566942701 60431655825 61905598650 62265096900 62669865300 63033801800 63783757800 64609646845 65378351745 66185491890 67683454524 68076505944 70340772600 70913027025 72517986990 72642613050 74286718380 74718116280 75203838360 76586069187 77531576214 78454022094 79422590268 80575541100 82540798200 84604318155 85095632430 87021584388 87171135660 88247322520 90453505583 92858397975 93397645350 94004797950 94550702700 95675636700 96690649320 96856817400 99278237835 101525181786 102114758916 103375434952 104605362792 106123883400 108776980485 108963919575 110309153150 112077174420 112805757540 113460843240 116297364321 119133885402 120863311650 123811197300 124530193800 125339730600 127643448645 129219293690 130756703490 132370983780 135366909048 140096468025 141007196925 141826054050 145035973980 145285226100 148573436760 152287772679 153172138374 155063152428 156908044188 158845180536 161151082200 165463729725 169208636310 170191264860 174043168776 174342271320 178700828103 180907011166 181294967475 185716795950 186795290700 188009595900 189101405400 191351273400 193828940535 196135055235 198556475670 203050363572 204229517832 212739081075 217553960970 217927839150 220618306300 224154348840 225611515080 229758207561 232594728642 238267770804 241726623300 247622394600 253812954465 255286897290 258438587380 261513406980 264741967560 271360516749 280192936050 282014393850 283652108100 290071947960 290570452200 297834713505 304575545358 306344276748 310126304856 313816088376 323048234225 326891758725 330927459450 338417272620 340382529720 348892092963 357401656206 361814022332 362589934950 371433591900 373590581400 376019191800 382930345935 387657881070 392270110470 397112951340 406100727144 423021590775 425478162150 435107921940 435855678300 441236612600 452267527915 459516415122 465189457284 476535541608 483453246600 496391189175 507625908930 510573794580 516877174760 523026813960 536102484309 542721033498 543884902425 560385872100 564028787700 567304216200 581486821605 595669427010 609151090716 612688553496 638217243225 646096468450 653783517450 661854918900 676834545240 697784185926 714803312412 723628044664 725179869900 742867183800 761438863395 765860691870 775315762140 784540220940 794225902680 814081550247 846043181550 850956324300 870215843880 871711356600 893504140515 904535055830 919032830244 930378914568 969144702675 980675276175 992782378350 1015251817860 1021147589160 1046676278889 1072204968618 1085442066996 1087769804850 1120771744200 1128057575400 1148791037805 1162973643210 1191338854020 1218302181432 1269064772325 1276434486450 1292192936900 1307567034900 1323709837800 1356802583745 1395568371852 1429606624824 1450359739800 1489173567525 1522877726790 1531721383740 1550631524280 1569080441880 1608307452927 1628163100494 1692086363100 1701912648600 1744460464815 1787008281030 1809070111660 1838065660488 1914651729675 1938289405350 1961350552350 1985564756700 2030503635720 2093352557778 2144409937236 2170884133992 2175539609700 2261337639575 2297582075610 2325947286420 2382677708040 2442244650741 2538129544650 2552868972900 2584385873800 2615134069800 2680512421545 2713605167490 2791136743704 2907434108025 2978347135050 3045755453580 3063442767480 3140028836667 3216614905854 3256326200988 3384172726200 3488920929630 3574016562060 3618140223320 3807194316975 3829303459350 3876578810700 3922701104700 3971129513400 4070407751235 4186705115556 4288819874472 4351079219400 4467520702575 4522675279150 4595164151220 4651894572840 4884489301482 5076259089300 5105737945800 5233381394445 5361024843090 5427210334980 5743955189025 5814868216050 5956694270100 6091510907160 6280057673334 6433229811708 6512652401976 6784012918725 6977841859260 7148033124120 7326733952223 7614388633950 7658606918700 7753157621400 7845402209400 8041537264635 8140815502470 8373410231112 8722302324075 8935041405150 9045350558300 9190328302440 9420086510001 9768978602964 10152518178600 10466762788890 10722049686180 10854420669960 11487910378050 11629736432100 11913388540200 12211223253705 12560115346668 12866459623416 13402562107725 13568025837450 13955683718520 14653467904446 15228777267900 15317213837400 15700144183335 16083074529270 16281631004940 17444604648150 17870082810300 18090701116600 18840173020002 19537957205928 20352038756175 20933525577780 21444099372360 21980201856669 22975820756100 23259472864200 24422446507410 25120230693336 26166906972225 26805124215450 27136051674900 29306935808892 30457554535800 31400288366670 32166149058540 32563262009880 34889209296300 35740165620600 36633669761115 37680346040004 40207686323175 40704077512350 41867051155560 43960403713338 45951641512200 47100432550005 48844893014820 52333813944450 53610248430900 54272103349800 58613871617784 61056116268525 62800576733340 64332298117080 65940605570007 69778418592600 73267339522230 75360692080008 78500720916675 80415372646350 81408155024700 87920807426676 94200865100010 97689786029640 104667627888900 107220496861800 109901009283345 122112232537050 125601153466680 131881211140014 146534679044460 157001441833350 160830745292700 162816310049400 175841614853352 183168348805575 188401730200020 209335255777800 219802018566690 235502162750025 244224465074100 263762422280028 293069358088920 314002883666700 321661490585400 329703027850035 366336697611150 376803460400040 439604037133380 471004325500050 488448930148200 527524844560056 549505046416725 628005767333400 659406055700070 732673395222300 879208074266760 942008651000100 1099010092833450 1318812111400140 1465346790444600 1648515139250175 1884017302000200 2198020185666900 2637624222800280 3297030278500350 4396040371333800 6594060557000700 13188121114001400
- Sum of all divisors σ(n): 53978190361895520
- Sum of proper divisors (its aliquot sum) s(n): 40790069247894120
- 13188121114001400 is an abundant number, because the sum of its proper divisors (40790069247894120) is greater than itself. Its abundance is 27601948133892720
Bases of 13188121114001400
- Binary: 1011101101101010000110101110100100000100111111111110002
- Hexadecimal: 0x2EDA86BA413FF8
- Base-36: 3LUSR782VI0
Squares and roots of 13188121114001400
- 13188121114001400 squared (131881211140014002) is 173926538517569527735119201960000
- 13188121114001400 cubed (131881211140014003) is 2293764254908736445840458744014335350322744000000
-
The
square root of 13188121114001400 is 114839545.0792165059 -
The
cube root of 13188121114001400 is 236262.2355202093
Scales and comparisons
How big is 13188121114001400?- 13,188,121,114,001,400 seconds is equal to 419,341,457 years, 46 weeks, 1 day, 7 hours, 30 minutes.
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To count from 1 to 13,188,121,114,001,400 would take you about one billion, two hundred fifty-eight million, twenty-four thousand, three hundred seventy-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 13188121114001400 cubic inches would be around 19688.5 feet tall.
Recreational maths with 13188121114001400
- 13188121114001400 backwards is 00410041112188131
- 13188121114001400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13188121114001400's digits is 36
- More coming soon!
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The information we have on file for 13188121114001400 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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