13415198976000

Names of 13415198976000

• Cardinal: 13415198976000 can be written as Thirteen trillion, four hundred fifteen billion, one hundred ninety-eight million, nine hundred seventy-six thousand.

Scientific notation

• Scientific notation: 1.3415198976 × 10¹³

Factors of 13415198976000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 156

Divisors of 13415198976000

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 64 72 75 76 80 90 95 96 100 114 120 125 127 128 144 150 152 160 171 180 190 192 200 225 228 240 250 254 256 285 288 300 304 320 342 360 361 375 380 381 384 400 450 456 475 480 500 508 512 570 576 600 608 635 640 684 720 722 750 760 762 768 800 855 900 912 950 960 1000 1016 1024 1083 1125 1140 1143 1152 1200 1216 1270 1280 1368 1425 1440 1444 1500 1520 1524 1536 1600 1710 1800 1805 1824 1900 1905 1920 2000 2032 2048 2166 2250 2280 2286 2304 2375 2400 2413 2432 2540 2560 2736 2850 2880 2888 3000 3040 3048 3072 3175 3200 3249 3420 3600 3610 3648 3800 3810 3840 4000 4064 4275 4332 4500 4560 4572 4608 4750 4800 4826 4864 5080 5120 5415 5472 5700 5715 5760 5776 6000 6080 6096 6144 6350 6400 6498 6840 7125 7200 7220 7239 7296 7600 7620 7680 8000 8128 8550 8664 9000 9025 9120 9144 9216 9500 9525 9600 9652 9728 10160 10240 10830 10944 11400 11430 11520 11552 12000 12065 12160 12192 12700 12800 12996 13680 14250 14400 14440 14478 14592 15200 15240 15360 15875 16000 16129 16245 16256 17100 17328 18000 18050 18240 18288 18432 19000 19050 19200 19304 19456 20320 21375 21660 21717 21888 22800 22860 23040 23104 24000 24130 24320 24384 25400 25600 25992 27075 27360 28500 28575 28800 28880 28956 29184 30400 30480 30720 31750 32000 32258 32490 32512 34200 34656 36000 36100 36195 36480 36576 38000 38100 38400 38608 38912 40640 42750 43320 43434 43776 45125 45600 45720 45847 46080 46208 47625 48000 48260 48387 48640 48768 50800 51200 51984 54150 54720 57000 57150 57600 57760 57912 58368 60325 60800 60960 63500 64000 64516 64980 65024 68400 69312 72000 72200 72390 72960 73152 76000 76200 76800 77216 80645 81225 81280 85500 86640 86868 87552 90250 91200 91440 91694 92160 92416 95250 96000 96520 96774 97280 97536 101600 103968 108300 108585 109440 114000 114300 115200 115520 115824 116736 120650 121600 121920 127000 128000 129032 129960 130048 135375 136800 137541 138624 142875 144000 144400 144780 145161 145920 146304 152000 152400 153600 154432 161290 162450 162560 171000 173280 173736 175104 180500 180975 182400 182880 183388 184832 190500 192000 193040 193548 194560 195072 203200 207936 216600 217170 218880 228000 228600 229235 230400 231040 231648 241300 241935 243200 243840 254000 256000 258064 259920 260096 270750 273600 275082 277248 285750 288000 288800 289560 290322 291840 292608 301625 304000 304800 306451 308864 322580 324900 325120 342000 346560 347472 350208 361000 361950 364800 365760 366776 369664 381000 384000 386080 387096 390144 403225 406125 406400 412623 415872 433200 434340 437760 456000 457200 458470 460800 462080 463296 482600 483870 486400 487680 508000 516128 519840 541500 542925 547200 550164 554496 571500 576000 577600 579120 580644 583680 585216 603250 608000 609600 612902 617728 645160 649800 650240 684000 687705 693120 694944 722000 723900 725805 729600 731520 733552 739328 762000 768000 772160 774192 780288 806450 812250 812800 825246 831744 866400 868680 875520 904875 912000 914400 916940 919353 924160 926592 965200 967740 972800 975360 1016000 1032256 1039680 1083000 1085850 1094400 1100328 1108992 1143000 1146175 1152000 1155200 1158240 1161288 1170432 1206500 1209675 1216000 1219200 1225804 1235456 1290320 1299600 1300480 1368000 1375410 1386240 1389888 1444000 1447800 1451610 1459200 1463040 1467104 1524000 1532255 1544320 1548384 1612900 1624500 1625600 1650492 1663488 1732800 1737360 1751040 1809750 1824000 1828800 1833880 1838706 1848320 1853184 1930400 1935480 1950720 2016125 2032000 2063115 2064512 2079360 2166000 2171700 2188800 2200656 2217984 2286000 2292350 2304000 2310400 2316480 2322576 2340864 2413000 2419350 2432000 2438400 2451608 2470912 2580640 2599200 2714625 2736000 2750820 2758059 2772480 2779776 2888000 2895600 2903220 2918400 2926080 2934208 3048000 3064510 3088640 3096768 3225800 3249000 3251200 3300984 3326976 3438525 3465600 3474720 3619500 3629025 3648000 3657600 3667760 3677412 3696640 3706368 3860800 3870960 3901440 4032250 4064000 4126230 4129024 4158720 4332000 4343400 4377600 4401312 4572000 4584700 4596765 4620800 4632960 4645152 4826000 4838700 4864000 4876800 4903216 4941824 5161280 5198400 5429250 5472000 5501640 5516118 5544960 5559552 5730875 5776000 5791200 5806440 5822569 5852160 5868416 6048375 6096000 6129020 6177280 6193536 6451600 6498000 6502400 6601968 6653952 6877050 6931200 6949440 7239000 7258050 7296000 7315200 7335520 7354824 7412736 7661275 7721600 7741920 8064500 8128000 8252460 8258048 8317440 8664000 8686800 8755200 8802624 9144000 9169400 9193530 9241600 9265920 9290304 9652000 9677400 9753600 9806432 10315575 10322560 10396800 10858500 10944000 11003280 11032236 11089920 11119104 11461750 11552000 11582400 11612880 11645138 11704320 11736832 12096750 12192000 12258040 12354560 12387072 12903200 12996000 13203936 13754100 13790295 13862400 13898880 14478000 14516100 14592000 14630400 14671040 14709648 14825472 15322550 15443200 15483840 16129000 16256000 16504920 16516096 16634880 17192625 17328000 17373600 17467707 17605248 18145125 18288000 18338800 18387060 18483200 18531840 18580608 19304000 19354800 19507200 19612864 20631150 20645120 20793600 21717000 21888000 22006560 22064472 22238208 22923500 22983825 23104000 23164800 23225760 23290276 23473664 24193500 24384000 24516080 24709120 24774144 25806400 25992000 26407872 27508200 27580590 27724800 27797760 28956000 29032200 29112845 29260800 29342080 29419296 30645100 30886400 30967680 32258000 32512000 33009840 33032192 33269760 34385250 34656000 34747200 34935414 35210496 36290250 36576000 36677600 36774120 37063680 37161216 38306375 38608000 38709600 39225728 41262300 41290240 41587200 43434000 43776000 44013120 44128944 44476416 45847000 45967650 46208000 46329600 46451520 46580552 46947328 48387000 48768000 49032160 49548288 51577875 51612800 51984000 52403121 52815744 55016400 55161180 55449600 55595520 57912000 58064400 58225690 58521600 58684160 58838592 61290200 61772800 61935360 64516000 66019680 68770500 68951475 69312000 69494400 69870828 70420992 72580500 73152000 73355200 73548240 74127360 74322432 76612750 77216000 77419200 78451456 82524600 82580480 83174400 86868000 87338535 88026240 88257888 91694000 91935300 92416000 92659200 92903040 93161104 93894656 96774000 97536000 98064320 99096576 103155750 103225600 103968000 104806242 105631488 110032800 110322360 111191040 114919125 115824000 116128800 116451380 117368320 117677184 122580400 123545600 123870720 129032000 132039360 137541000 137902950 138624000 138988800 139741656 140841984 145161000 145564225 146304000 146710400 147096480 148644864 153225500 154432000 154838400 156902912 165049200 165160960 166348800 173736000 174677070 176052480 176515776 183388000 183870600 185318400 185806080 186322208 193548000 196128640 206311500 206451200 207936000 209612484 211262976 220065600 220644720 222382080 229838250 231648000 232257600 232902760 234736640 235354368 245160800 247741440 258064000 262015605 264078720 275082000 275805900 277248000 277977600 279483312 281683968 290322000 291128450 292608000 293420800 294192960 297289728 306451000 308864000 309676800 313805824 330098400 344757375 347472000 349354140 352104960 353031552 366776000 367741200 370636800 371612160 372644416 387096000 392257280 412623000 412902400 415872000 419224968 422525952 436692675 440131200 441289440 459676500 463296000 464515200 465805520 469473280 470708736 490321600 495482880 516128000 524031210 528157440 550164000 551611800 555955200 558966624 580644000 582256900 586841600 588385920 612902000 617728000 619353600 627611648 660196800 689514750 694944000 698708280 704209920 706063104 727821125 733552000 735482400 743224320 745288832 774192000 784514560 825246000 825804800 831744000 838449936 845051904 873385350 880262400 882578880 919353000 926592000 929030400 931611040 941417472 980643200 1032256000 1048062420 1056314880 1100328000 1103223600 1111910400 1117933248 1161288000 1164513800 1173683200 1176771840 1225804000 1238707200 1310078025 1320393600 1379029500 1389888000 1397416560 1408419840 1412126208 1455642250 1467104000 1470964800 1486448640 1490577664 1548384000 1569029120 1650492000 1676899872 1746770700 1760524800 1765157760 1838706000 1853184000 1858060800 1863222080 1882834944 1961286400 2064512000 2096124840 2112629760 2183463375 2200656000 2206447200 2235866496 2322576000 2329027600 2347366400 2353543680 2451608000 2477414400 2620156050 2640787200 2758059000 2779776000 2794833120 2824252416 2911284500 2934208000 2941929600 2981155328 3096768000 3138058240 3300984000 3353799744 3493541400 3521049600 3530315520 3677412000 3716121600 3726444160 3922572800 4129024000 4192249680 4225259520 4366926750 4401312000 4412894400 4471732992 4645152000 4658055200 4707087360 4903216000 5240312100 5281574400 5516118000 5559552000 5589666240 5648504832 5822569000 5868416000 5883859200 5962310656 6193536000 6550390125 6601968000 6707599488 6987082800 7042099200 7060631040 7354824000 7432243200 7452888320 7845145600 8384499360 8733853500 8802624000 8825788800 8943465984 9290304000 9316110400 9414174720 9806432000 10480624200 10563148800 11032236000 11179332480 11645138000 11736832000 11767718400 11924621312 12387072000 13100780250 13203936000 13415198976 13974165600 14121262080 14709648000 14905776640 15690291200 16768998720 17467707000 17605248000 17651577600 17886931968 18580608000 18632220800 19612864000 20961248400 21126297600 22064472000 22358664960 23290276000 23535436800 26201560500 26407872000 26830397952 27948331200 28242524160 29419296000 29811553280 33537997440 34935414000 35210496000 35303155200 35773863936 37161216000 37264441600 39225728000 41922496800 44128944000 44717329920 46580552000 47070873600 52403121000 52815744000 53660795904 55896662400 58838592000 59623106560 67075994880 69870828000 70606310400 74528883200 78451456000 83844993600 88257888000 89434659840 93161104000 104806242000 105631488000 107321591808 111793324800 117677184000 134151989760 139741656000 141212620800 149057766400 167689987200 176515776000 178869319680 186322208000 209612484000 223586649600 235354368000 268303979520 279483312000 298115532800 335379974400 353031552000 372644416000 419224968000 447173299200 536607959040 558966624000 670759948800 706063104000 745288832000 838449936000 894346598400 1117933248000 1341519897600 1490577664000 1676899872000 2235866496000 2683039795200 3353799744000 4471732992000 6707599488000 13415198976000
• Sum of all divisors σ(n): 51438374753220
• Sum of proper divisors (its aliquot sum) s(n): 38023175777220
• 13415198976000 is an abundant number, because the sum of its proper divisors (38023175777220) is greater than itself. Its abundance is 24607976801220

Bases of 13415198976000

• Binary: 11000011001101111000001010110110100000000000₂
• Hexadecimal: 0xC33782B6800
• Base-36: 4R6UV3LS0

Squares and roots of 13415198976000

• 13415198976000 squared (13415198976000²) is 179967563565671448576000000
• 13415198976000 cubed (13415198976000³) is 2414300674459410525689191858176000000000
• The square root of 13415198976000 is 3662676.4771134237
• The cube root of 13415198976000 is 23761.0542674055

Scales and comparisons

• 13,415,198,976,000 seconds is equal to 426,561 years, 43 weeks, 1 day, 16 hours.
• To count from 1 to 13,415,198,976,000 would take you about one million, sixty-six thousand, four hundred four 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 13415198976000 cubic inches would be around 1980.1 feet tall.

Recreational maths with 13415198976000

• 13415198976000 backwards is 00067989151431
• The number of decimal digits it has is: 14
• The sum of 13415198976000's digits is 54
• More coming soon!