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14406544560441 = 3111725680115081
BaseRepresentation
bin1101000110100100100011…
…1110001001000100111001
31220000020210212020102220210
43101221020332021010321
53342014100401413231
650350135235541333
73014560414164525
oct321511076110471
956006725212823
1014406544560441
114654865910120
12174810275a849
138066ba415657
1437b3cd8b4d85
1519eb3214aa46
hexd1a48f89139

14406544560441 has 16 divisors (see below), whose sum is σ = 22187619430848. Its totient is φ = 8217636825600.

The previous prime is 14406544560431. The next prime is 14406544560449.

14406544560441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14406544560441 - 213 = 14406544552249 is a prime.

It is a super-2 number, since 2×144065445604412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14406544560449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12840056980 + ... + 12840058101.

It is an arithmetic number, because the mean of its divisors is an integer number (1386726214428).

Almost surely, 214406544560441 is an apocalyptic number.

14406544560441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14406544560441 is a deficient number, since it is larger than the sum of its proper divisors (7781074870407).

14406544560441 is a wasteful number, since it uses less digits than its factorization.

14406544560441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25680115112.

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 14406544560441 in words is "fourteen trillion, four hundred six billion, five hundred forty-four million, five hundred sixty thousand, four hundred forty-one".

Divisors: 1 3 11 17 33 51 187 561 25680115081 77040345243 282481265891 436561956377 847443797673 1309685869131 4802181520147 14406544560441