13225313957478400
13,225,313,957,478,400 is an even composite number composed of five prime numbers multiplied together.
13225313957478400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13225313957478400:
215 × 52 × 312 × 53 × 5632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 31 × 53 × 563 × 563)See below for interesting mathematical facts about the number 13225313957478400 from the Numbermatics database.
Names of 13225313957478400
- Cardinal: 13225313957478400 can be written as Thirteen quadrillion, two hundred twenty-five trillion, three hundred thirteen billion, nine hundred fifty-seven million, four hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.32253139574784 × 1016
Factors of 13225313957478400
Divisors of 13225313957478400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 53 62 64 80 100 106 124 128 155 160 200 212 248 256 265 310 320 400 424 496 512 530 563 620 640 775 800 848 961 992 1024 1060 1126 1240 1280 1325 1550 1600 1643 1696 1922 1984 2048 2120 2252 2480 2560 2650 2815 3100 3200 3286 3392 3844 3968 4096 4240 4504 4805 4960 5120 5300 5630 6200 6400 6572 6784 7688 7936 8192 8215 8480 9008 9610 9920 10240 10600 11260 12400 12800 13144 13568 14075 15376 15872 16384 16430 16960 17453 18016 19220 19840 20480 21200 22520 24025 24800 25600 26288 27136 28150 29839 30752 31744 32768 32860 33920 34906 36032 38440 39680 40960 41075 42400 45040 48050 49600 50933 51200 52576 54272 56300 59678 61504 63488 65720 67840 69812 72064 76880 79360 81920 82150 84800 87265 90080 96100 99200 101866 102400 105152 108544 112600 119356 123008 126976 131440 135680 139624 144128 149195 153760 158720 163840 164300 169600 174530 180160 192200 198400 203732 204800 210304 217088 225200 238712 246016 253952 254665 262880 271360 279248 288256 298390 307520 316969 317440 328600 339200 349060 360320 384400 396800 407464 409600 420608 434176 436325 450400 477424 492032 507904 509330 525760 541043 542720 558496 576512 596780 615040 633938 634880 657200 678400 698120 720640 745975 768800 793600 814928 819200 841216 868352 872650 900800 925009 954848 984064 1015808 1018660 1051520 1082086 1085440 1116992 1153024 1193560 1230080 1267876 1269760 1273325 1314400 1356800 1396240 1441280 1491950 1537600 1584845 1587200 1629856 1682432 1736704 1745300 1801600 1850018 1909696 1968128 2037320 2103040 2164172 2170880 2233984 2306048 2387120 2460160 2535752 2539520 2546650 2628800 2705215 2713600 2792480 2882560 2983900 3075200 3169690 3174400 3259712 3364864 3490600 3603200 3700036 3819392 3936256 4074640 4206080 4328344 4341760 4467968 4612096 4625045 4774240 4920320 5071504 5079040 5093300 5257600 5410430 5427200 5584960 5765120 5967800 6150400 6339380 6348800 6519424 6729728 6981200 7206400 7400072 7638784 7872512 7924225 8149280 8412160 8656688 8683520 8935936 9224192 9250090 9548480 9826039 9840640 10143008 10186600 10515200 10820860 10854400 11169920 11530240 11935600 12300800 12678760 12697600 13038848 13459456 13526075 13962400 14412800 14800144 15277568 15745024 15848450 16298560 16799357 16824320 17313376 17871872 18448384 18500180 19096960 19652078 19681280 20286016 20373200 21030400 21641720 21708800 22339840 23060480 23125225 23871200 24601600 25357520 25395200 26077696 26918912 27052150 27924800 28675279 28825600 29600288 30555136 31490048 31696900 32597120 33598714 33648640 34626752 35743744 37000360 38193920 39304156 39362560 40572032 40746400 42060800 43283440 43417600 44679680 46120960 46250450 47742400 49130195 49203200 50715040 52155392 53837824 54104300 55849600 57350558 57651200 59200576 61110272 63393800 65194240 67197428 67297280 69253504 71487488 74000720 76387840 78608312 78725120 81144064 81492800 83996785 84121600 86566880 89359360 92241920 92500900 95484800 98260390 98406400 101430080 104310784 108208600 111699200 114701116 115302400 118401152 122220544 126787600 130388480 134394856 134594560 138507008 142974976 143376395 148001440 152775680 157216624 157450240 162288128 162985600 167993570 168243200 173133760 178718720 185001800 190969600 196520780 196812800 202860160 208621568 216417200 223398400 229402232 230604800 236802304 244441088 245650975 253575200 260776960 268789712 269189120 277014016 285949952 286752790 296002880 304607209 305551360 314433248 324576256 325971200 335987140 336486400 346267520 357437440 370003600 381939200 393041560 393625600 405720320 417243136 419983925 432834400 446796800 458804464 461209600 473604608 488882176 491301950 507150400 520780067 521553920 537579424 554028032 571899904 573505580 592005760 609214418 611102720 628866496 649152512 651942400 671974280 672972800 692535040 714874880 716881975 740007200 763878400 786083120 787251200 811440640 834486272 839967850 865668800 893593600 917608928 947209216 977764352 982603900 1014300800 1041560134 1043107840 1075158848 1108056064 1147011160 1184011520 1218428836 1222205440 1257732992 1298305024 1303884800 1343948560 1345945600 1385070080 1429749760 1433763950 1480014400 1523036045 1527756800 1572166240 1622881280 1668972544 1679935700 1731337600 1787187200 1835217856 1894418432 1965207800 2028601600 2083120268 2086215680 2150317696 2216112128 2294022320 2368023040 2436857672 2444410880 2515465984 2596610048 2603900335 2607769600 2687897120 2770140160 2859499520 2867527900 2960028800 3046072090 3055513600 3144332480 3245762560 3359871400 3462675200 3574374400 3670435712 3788836864 3930415600 4057203200 4166240536 4172431360 4300635392 4432224256 4588044640 4736046080 4873715344 4888821760 5030931968 5193220096 5207800670 5215539200 5375794240 5540280320 5735055800 5920057600 6092144180 6111027200 6288664960 6491525120 6719742800 6925350400 7148748800 7340871424 7577673728 7615180225 7860831200 8114406400 8332481072 8344862720 8601270784 8864448512 9176089280 9472092160 9747430688 10061863936 10386440192 10415601340 10431078400 10751588480 11080560640 11470111600 11840115200 12184288360 12222054400 12577329920 12983050240 13019501675 13439485600 13850700800 14297497600 14681742848 15155347456 15230360450 15721662400 16144182077 16228812800 16664962144 17202541568 17728897024 18352178560 18944184320 19494861376 20123727872 20831202680 20862156800 21503176960 22161121280 22940223200 23680230400 24368576720 24444108800 25154659840 25966100480 26039003350 26878971200 27701401600 29363485696 30310694912 30460720900 31443324800 32288364154 32457625600 33329924288 34405083136 36704357120 37888368640 38989722752 40247455744 41662405360 41724313600 43006353920 44322242560 45880446400 47360460800 48737153440 50309319680 51932200960 52078006700 53757942400 55402803200 58726971392 60921441800 62886649600 64576728308 64915251200 66659848576 68810166272 73408714240 75776737280 77979445504 80494911488 80720910385 83324810720 86012707840 88644485120 91760892800 94720921600 97474306880 100618639360 104156013400 107515884800 110805606400 117453942784 121842883600 125773299200 129153456616 129830502400 133319697152 137620332544 146817428480 151553474560 155958891008 160989822976 161441820770 166649621440 172025415680 183521785600 189441843200 194948613760 201237278720 208312026800 215031769600 221611212800 234907885568 243685767200 251546598400 258306913232 259661004800 266639394304 275240665088 293634856960 311917782016 321979645952 322883641540 333299242880 344050831360 367043571200 378883686400 389897227520 402474557440 403604551925 416624053600 430063539200 443222425600 469815771136 487371534400 503093196800 516613826464 533278788608 550481330176 587269713920 623835564032 645767283080 666598485760 688101662720 734087142400 757767372800 779794455040 804949114880 807209103850 833248107200 860127078400 939631542272 974743068800 1006186393600 1033227652928 1066557577216 1174539427840 1247671128064 1291534566160 1333196971520 1376203325440 1468174284800 1559588910080 1609898229760 1614418207700 1666496214400 1720254156800 1949486137600 2012372787200 2066455305856 2133115154432 2349078855680 2495342256128 2583069132320 2666393943040 2752406650880 2936348569600 3119177820160 3228836415400 3332992428800 3440508313600 3898972275200 4024745574400 4132910611712 4266230308864 4698157711360 4990684512256 5166138264640 5332787886080 5872697139200 6238355640320 6457672830800 6665984857600 6881016627200 7797944550400 8049491148800 8265821223424 8532460617728 9981369024512 10332276529280 10665575772160 11745394278400 12476711280640 12915345661600 13331969715200 13762033254400 15595889100800 16531642446848 17064921235456 20664553058560 21331151544320 23490788556800 24953422561280 25830691323200 26663939430400 31191778201600 33063284893696 41329106117120 42662303088640 49906845122560 51661382646400 53327878860800 62383556403200 66126569787392 82658212234240 85324606177280 103322765292800 106655757721600 124767112806400 132253139574784 165316424468480 206645530585600 213311515443200 249534225612800 264506279149568 330632848936960 413291061171200 426623030886400 529012558299136 661265697873920 826582122342400 1322531395747840 1653164244684800 2645062791495680 3306328489369600 6612656978739200 13225313957478400
- Sum of all divisors σ(n): 34591299093703710
- Sum of proper divisors (its aliquot sum) s(n): 21365985136225310
- 13225313957478400 is an abundant number, because the sum of its proper divisors (21365985136225310) is greater than itself. Its abundance is 8140671178746910
Bases of 13225313957478400
- Binary: 1011101111110001011010010111000111101010000000000000002
- Hexadecimal: 0x2EFC5A5C7A8000
- Base-36: 3M7ZDCUSMPS
Squares and roots of 13225313957478400
- 13225313957478400 squared (132253139574784002) is 174908929273872978243286466560000
- 13225313957478400 cubed (132253139574784003) is 2313225503613354606370714680536770023522304000000
-
The
square root of 13225313957478400 is 115001365.0244135145 -
The
cube root of 13225313957478400 is 236484.1275455851
Scales and comparisons
How big is 13225313957478400?- 13,225,313,957,478,400 seconds is equal to 420,524,075 years, 13 weeks, 5 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,225,313,957,478,400 would take you about one billion, two hundred sixty-one million, five hundred seventy-two thousand, two hundred twenty-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 13225313957478400 cubic inches would be around 19707 feet tall.
Recreational maths with 13225313957478400
- 13225313957478400 backwards is 00487475931352231
- 13225313957478400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13225313957478400's digits is 64
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13225313957478400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 13225313957478400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/13225313957478400/
Chicago style:
Numbermatics. 2024. "Number 13225313957478400 - Facts about the integer". https://numbermatics.com/n/13225313957478400/
The information we have on file for 13225313957478400 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!
Keywords: Divisors of 13225313957478400, math, Factors of 13225313957478400, curriculum, school, college, exams, university, Prime factorization of 13225313957478400, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, two hundred twenty-five trillion, three hundred thirteen billion, nine hundred fifty-seven million, four hundred seventy-eight thousand, four hundred.