12815284681324544

Names of 12815284681324544

• Cardinal: 12815284681324544 can be written as Twelve quadrillion, eight hundred fifteen trillion, two hundred eighty-four billion, six hundred eighty-one million, three hundred twenty-four thousand, five hundred forty-four.

Scientific notation

• Scientific notation: 1.2815284681324544 × 10¹⁶

Factors of 12815284681324544

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 30789

Divisors of 12815284681324544

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 256 272 397 464 493 512 544 794 928 986 1024 1088 1093 1588 1856 1972 2048 2176 2186 3176 3712 3944 4352 4372 6352 6749 7424 7888 8704 8744 11513 12704 13498 14848 15776 17408 17488 18581 23026 25408 26996 29251 29696 31552 31697 34816 34976 37162 46052 50816 53992 58502 59392 63104 63394 69952 74324 92104 101632 107984 117004 126208 126788 139904 148648 184208 195721 203264 215968 234008 252416 253576 279808 297296 368416 391442 406528 431936 433921 468016 497267 504832 507152 538849 559616 594592 736832 782884 813056 848279 863872 867842 936032 994534 1009664 1014304 1077698 1119232 1189184 1473664 1565768 1696558 1727744 1735684 1872064 1989068 2028608 2155396 2238464 2378368 2947328 3131536 3393116 3455488 3471368 3744128 3978136 4057216 4310792 4756736 5894656 6263072 6786232 6910976 6942736 7376657 7488256 7956272 8114432 8621584 9513472 11612647 11789312 12526144 12583709 13572464 13821952 13885472 14420743 14753314 14976512 15912544 16228864 17243168 19026944 23225294 23578624 25052288 25167418 27144928 27770944 28841486 29506628 29953024 31825088 31971343 32457728 34486336 38053888 46450588 50104576 50334836 54289856 55541888 57682972 59013256 59906048 63650176 63942686 64915456 68972672 92901176 100209152 100669672 108579712 111083776 115365944 118026512 127300352 127885372 137945344 185802352 197414999 200418304 201339344 213923053 217159424 222167552 230731888 236053024 254600704 255770744 275890688 336766763 371604704 394829998 400836608 402678688 427846106 434318848 444335104 461463776 472106048 509201408 511541488 543512831 551781376 673533526 743209408 789659996 805357376 855692212 868637696 888670208 922927552 927168947 944212096 1018402816 1023082976 1087025662 1103562752 1347067052 1486418816 1579319992 1610714752 1711384424 1737275392 1845855104 1854337894 1888424192 2046165952 2174051324 2694134104 2972837632 3158639984 3221429504 3422768848 3691710208 3708675788 3776848384 4092331904 4348102648 5388268208 5725034971 5945675264 6317279968 6442859008 6845537696 7383420416 7417351576 7553696768 8184663808 8696205296 10776536416 11450069942 11891350528 12634559936 12692623171 12885718016 13691075392 14766840832 14834703152 15107393536 15761872099 16369327616 17392410592 21553072832 22900139884 23782701056 25269119872 25385246342 25771436032 27382150784 29533681664 29669406304 31523744198 32738655232 34784821184 43106145664 45800279768 50538239744 50770492684 54764301568 59338812608 63047488396 65477310464 69569642368 86212291328 91600559536 101076479488 101540985368 109528603136 118677625216 126094976792 139139284736 172424582656 183201119072 202152958976 203081970736 215774593907 219057206272 237355250432 252189953584 278278569472 344849165312 366402238144 368086071959 404305917952 406163941472 431549187814 438114412544 474710500864 504379907168 556557138944 689698330624 732804476288 736172143918 812327882944 863098375628 949421001728 1008759814336 1113114277888 1465608952576 1472344287836 1624655765888 1726196751256 1898842003456 2017519628672 2931217905152 2944688575672 3249311531776 3452393502512 4035039257344 5862435810304 5889377151344 6257463223303 6498623063552 6904787005024 8070078514688 11724871620608 11778754302688 12514926446606 12997246127104 13809574010048 16140157029376 23557508605376 25029852893212 25994492254208 27619148020096 32280314058752 47115017210752 50059705786424 55238296040192 94230034421504 100119411572848 110476592080384 188460068843008 200238823145696 220953184160768 376920137686016 400477646291392 441906368321536 753840275372032 800955292582784 1601910585165568 3203821170331136 6407642340662272 12815284681324544
• Sum of all divisors σ(n): 28164602404411200
• Sum of proper divisors (its aliquot sum) s(n): 15349317723086656
• 12815284681324544 is an abundant number, because the sum of its proper divisors (15349317723086656) is greater than itself. Its abundance is 2534033041762112

Bases of 12815284681324544

• Binary: 101101100001110110111011111011001000000011100000000000₂
• Hexadecimal: 0x2D876EFB203800
• Base-36: 3I6N0IAEYGW

Squares and roots of 12815284681324544

• 12815284681324544 squared (12815284681324544²) is 164231521463391519264126256807936
• 12815284681324544 cubed (12815284681324544³) is 2104673701200424394032688548948670771917890781184
• The square root of 12815284681324544 is 113204614.2227627751
• The cube root of 12815284681324544 is 234014.4917688991

Scales and comparisons

• 12,815,284,681,324,544 seconds is equal to 407,486,412 years, 30 weeks, 3 days, 23 hours, 55 minutes, 44 seconds.
• To count from 1 to 12,815,284,681,324,544 would take you about one billion, two hundred twenty-two million, four hundred fifty-nine thousand, two hundred thirty-seven 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 12815284681324544 cubic inches would be around 19501.2 feet tall.

Recreational maths with 12815284681324544

• 12815284681324544 backwards is 44542318648251821
• 12815284681324544 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12815284681324544's digits is 68
• More coming soon!