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14241551344804 = 2272109224732
BaseRepresentation
bin1100111100111101111010…
…0110111110010010100100
31212102110221012101122202101
43033033132212332102210
53331313144121013204
650142251154421444
72666626630041400
oct317173646762244
955373835348671
1014241551344804
1145a0898504173
121720136891884
137c3c84854184
1437341ab88100
1519a6c7146ea4
hexcf3de9be4a4

14241551344804 has 81 divisors (see below), whose sum is σ = 29271985497027. Its totient is φ = 6045080969088.

The previous prime is 14241551344799. The next prime is 14241551344831. The reversal of 14241551344804 is 40844315514241.

The square root of 14241551344804 is 3773798.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2794480588900 + 11447070755904 = 1671670^2 + 3383352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5758814512 + ... + 5758816984.

Almost surely, 214241551344804 is an apocalyptic number.

14241551344804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14241551344804 is the 3773798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14241551344804

14241551344804 is an abundant number, since it is smaller than the sum of its proper divisors (15030434152223).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14241551344804 is an frugal number, since it uses more digits than its factorization.

14241551344804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5182 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 14241551344804 in words is "fourteen trillion, two hundred forty-one billion, five hundred fifty-one million, three hundred forty-four thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 436 763 1526 2473 3052 4946 5341 9892 10682 11881 17311 21364 23762 34622 47524 69244 83167 121177 166334 242354 269557 332668 484708 539114 582169 1078228 1164338 1886899 2328676 3773798 6115729 7547596 12231458 13208293 24462916 26416586 29381713 42810103 52833172 58763426 85620206 117526852 171240412 205671991 299670721 411343982 599341442 666614461 822687964 1198682884 1333228922 1439703937 2666457844 2879407874 4666301227 5758815748 9332602454 18665204908 32664108589 65328217178 72660976249 130656434356 145321952498 290643904996 508626833743 1017253667486 2034507334972 3560387836201 7120775672402 14241551344804