13145868127436800
13,145,868,127,436,800 is an even composite number composed of four prime numbers multiplied together.
What does the number 13145868127436800 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 870 divisors.
13145868127436800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred seventy divisors.
Prime factorization of 13145868127436800:
228 × 52 × 7 × 234
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 13145868127436800 from the Numbermatics database.
Names of 13145868127436800
- Cardinal: 13145868127436800 can be written as Thirteen quadrillion, one hundred forty-five trillion, eight hundred sixty-eight billion, one hundred twenty-seven million, four hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31458681274368 × 1016
Factors of 13145868127436800
Divisors of 13145868127436800
- Number of divisors d(n): 870
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 64 70 80 92 100 112 115 128 140 160 161 175 184 200 224 230 256 280 320 322 350 368 400 448 460 512 529 560 575 640 644 700 736 800 805 896 920 1024 1058 1120 1150 1280 1288 1400 1472 1600 1610 1792 1840 2048 2116 2240 2300 2560 2576 2645 2800 2944 3200 3220 3584 3680 3703 4025 4096 4232 4480 4600 5120 5152 5290 5600 5888 6400 6440 7168 7360 7406 8050 8192 8464 8960 9200 10240 10304 10580 11200 11776 12167 12800 12880 13225 14336 14720 14812 16100 16384 16928 17920 18400 18515 20480 20608 21160 22400 23552 24334 25600 25760 26450 28672 29440 29624 32200 32768 33856 35840 36800 37030 40960 41216 42320 44800 47104 48668 51200 51520 52900 57344 58880 59248 60835 64400 65536 67712 71680 73600 74060 81920 82432 84640 85169 89600 92575 94208 97336 102400 103040 105800 114688 117760 118496 121670 128800 131072 135424 143360 147200 148120 163840 164864 169280 170338 179200 185150 188416 194672 204800 206080 211600 229376 235520 236992 243340 257600 262144 270848 279841 286720 294400 296240 304175 327680 329728 338560 340676 358400 370300 376832 389344 409600 412160 423200 425845 458752 471040 473984 486680 515200 524288 541696 559682 573440 588800 592480 608350 655360 659456 677120 681352 716800 740600 753664 778688 819200 824320 846400 851690 917504 942080 947968 973360 1030400 1048576 1083392 1119364 1146880 1177600 1184960 1216700 1310720 1318912 1354240 1362704 1399205 1433600 1481200 1507328 1557376 1638400 1648640 1692800 1703380 1835008 1884160 1895936 1946720 1958887 2060800 2097152 2129225 2166784 2238728 2293760 2355200 2369920 2433400 2621440 2637824 2708480 2725408 2798410 2867200 2962400 3014656 3114752 3276800 3297280 3385600 3406760 3670016 3768320 3791872 3893440 3917774 4121600 4194304 4258450 4333568 4477456 4587520 4710400 4739840 4866800 5242880 5275648 5416960 5450816 5596820 5734400 5924800 6029312 6229504 6553600 6594560 6771200 6813520 6996025 7340032 7536640 7583744 7786880 7835548 8243200 8388608 8516900 8667136 8954912 9175040 9420800 9479680 9733600 9794435 10485760 10551296 10833920 10901632 11193640 11468800 11849600 12058624 12459008 13107200 13189120 13542400 13627040 13992050 14680064 15073280 15167488 15573760 15671096 16486400 16777216 17033800 17334272 17909824 18350080 18841600 18959360 19467200 19588870 20971520 21102592 21667840 21803264 22387280 22937600 23699200 24117248 24918016 26214400 26378240 27084800 27254080 27984100 29360128 30146560 30334976 31147520 31342192 32972800 33554432 34067600 34668544 35819648 36700160 37683200 37918720 38934400 39177740 41943040 42205184 43335680 43606528 44774560 45875200 47398400 48234496 48972175 49836032 52428800 52756480 54169600 54508160 55968200 58720256 60293120 60669952 62295040 62684384 65945600 67108864 68135200 69337088 71639296 73400320 75366400 75837440 77868800 78355480 83886080 84410368 86671360 87213056 89549120 91750400 94796800 96468992 97944350 99672064 104857600 105512960 108339200 109016320 111936400 117440512 120586240 121339904 124590080 125368768 131891200 134217728 136270400 138674176 143278592 146800640 150732800 151674880 155737600 156710960 167772160 168820736 173342720 174426112 179098240 183500800 189593600 192937984 195888700 199344128 209715200 211025920 216678400 218032640 223872800 234881024 241172480 242679808 249180160 250737536 263782400 268435456 272540800 277348352 286557184 293601280 301465600 303349760 311475200 313421920 335544320 337641472 346685440 348852224 358196480 367001600 379187200 385875968 391777400 398688256 419430400 422051840 433356800 436065280 447745600 469762048 482344960 485359616 498360320 501475072 527564800 545081600 554696704 573114368 587202560 602931200 606699520 622950400 626843840 671088640 675282944 693370880 697704448 716392960 734003200 758374400 771751936 783554800 797376512 838860800 844103680 866713600 872130560 895491200 939524096 964689920 970719232 996720640 1002950144 1055129600 1090163200 1109393408 1146228736 1174405120 1205862400 1213399040 1245900800 1253687680 1342177280 1350565888 1386741760 1395408896 1432785920 1468006400 1516748800 1543503872 1567109600 1594753024 1677721600 1688207360 1733427200 1744261120 1790982400 1879048192 1929379840 1941438464 1993441280 2005900288 2110259200 2180326400 2218786816 2292457472 2348810240 2411724800 2426798080 2491801600 2507375360 2701131776 2773483520 2790817792 2865571840 2936012800 3033497600 3087007744 3134219200 3189506048 3355443200 3376414720 3466854400 3488522240 3581964800 3858759680 3882876928 3986882560 4011800576 4220518400 4360652800 4437573632 4584914944 4697620480 4823449600 4853596160 4983603200 5014750720 5402263552 5546967040 5581635584 5731143680 5872025600 6066995200 6174015488 6268438400 6379012096 6710886400 6752829440 6933708800 6977044480 7163929600 7717519360 7765753856 7973765120 8023601152 8441036800 8721305600 8875147264 9169829888 9395240960 9646899200 9707192320 9967206400 10029501440 10804527104 11093934080 11163271168 11462287360 11744051200 12133990400 12536876800 12758024192 13505658880 13867417600 13954088960 14327859200 15435038720 15531507712 15947530240 16047202304 16882073600 17442611200 17750294528 18339659776 19293798400 19414384640 19934412800 20059002880 21609054208 22187868160 22326542336 22924574720 23488102400 24267980800 25073753600 25516048384 27011317760 27734835200 27908177920 28655718400 30870077440 31063015424 31895060480 32094404608 33764147200 34885222400 35500589056 36679319552 38587596800 38828769280 39868825600 40118005760 43218108416 44375736320 44653084672 45849149440 46976204800 48535961600 50147507200 51032096768 54022635520 55469670400 55816355840 57311436800 62126030848 63790120960 64188809216 67528294400 69770444800 71001178112 73358639104 77175193600 77657538560 79737651200 80236011520 88751472640 89306169344 91698298880 97071923200 100295014400 102064193536 108045271040 110939340800 111632711680 114622873600 124252061696 127580241920 128377618432 135056588800 139540889600 142002356224 146717278208 154350387200 155315077120 159475302400 160472023040 177502945280 178612338688 183396597760 194143846400 200590028800 204128387072 216090542080 221878681600 223265423360 229245747200 248504123392 255160483840 256755236864 270113177600 279081779200 293434556416 310630154240 318950604800 320944046080 355005890560 357224677376 366793195520 388287692800 401180057600 408256774144 443757363200 446530846720 458491494400 497008246784 510320967680 513510473728 540226355200 558163558400 586869112832 621260308480 637901209600 641888092160 710011781120 714449354752 733586391040 776575385600 802360115200 816513548288 887514726400 893061693440 916982988800 994016493568 1020641935360 1027020947456 1080452710400 1116327116800 1173738225664 1242520616960 1275802419200 1283776184320 1428898709504 1467172782080 1553150771200 1604720230400 1633027096576 1775029452800 1786123386880 1833965977600 2041283870720 2054041894912 2232654233600 2347476451328 2485041233920 2551604838400 2567552368640 2857797419008 2934345564160 3106301542400 3209440460800 3266054193152 3550058905600 3572246773760 3667931955200 4082567741440 4108083789824 4465308467200 4694952902656 4970082467840 5103209676800 5135104737280 5715594838016 5868691128320 6212603084800 6418880921600 7144493547520 7335863910400 8165135482880 8216167579648 8930616934400 9389905805312 10206419353600 10270209474560 11431189676032 11737382256640 12425206169600 12837761843200 14288987095040 14671727820800 16330270965760 16432335159296 17861233868800 18779811610624 20412838707200 20540418949120 22862379352064 23474764513280 24850412339200 25675523686400 28577974190080 29343455641600 32864670318592 35722467737600 37559623221248 40825677414400 41080837898240 46949529026560 51351047372800 57155948380160 58686911283200 65729340637184 71444935475200 75119246442496 81651354828800 82161675796480 93899058053120 102702094745600 114311896760320 117373822566400 131458681274368 142889870950400 164323351592960 187798116106240 205404189491200 234747645132800 262917362548736 285779741900800 328646703185920 375596232212480 410808378982400 469495290265600 525834725097472 571559483801600 657293406371840 821616757964800 938990580531200 1314586812743680 1643233515929600 1877981161062400 2629173625487360 3286467031859200 6572934063718400 13145868127436800
- Sum of all divisors σ(n): 38952737667081608
- Sum of proper divisors (its aliquot sum) s(n): 25806869539644808
- 13145868127436800 is an abundant number, because the sum of its proper divisors (25806869539644808) is greater than itself. Its abundance is 12661001412208008
Bases of 13145868127436800
- Binary: 1011101011010000011000111100000000000000000000000000002
- Hexadecimal: 0x2EB418F0000000
- Base-36: 3LFTKG2THJ4
Squares and roots of 13145868127436800
- 13145868127436800 squared (131458681274368002) is 172813848823958718524937994240000
- 13145868127436800 cubed (131458681274368003) is 2271788067234560440987052001382618504364032000000
-
The
square root of 13145868127436800 is 114655432.1758755571 -
The
cube root of 13145868127436800 is 236009.6479791055
Scales and comparisons
How big is 13145868127436800?- 13,145,868,127,436,800 seconds is equal to 417,997,943 years, 31 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,145,868,127,436,800 would take you about one billion, two hundred fifty-three million, nine hundred ninety-three thousand, eight hundred thirty 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 13145868127436800 cubic inches would be around 19667.5 feet tall.
Recreational maths with 13145868127436800
- 13145868127436800 backwards is 00863472186854131
- The number of decimal digits it has is: 17
- The sum of 13145868127436800's digits is 67
- More coming soon!
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The information we have on file for 13145868127436800 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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