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14442143441 = 1141711632767
BaseRepresentation
bin11010111001101000…
…11001111011010001
31101021111102220100112
431130310121323101
5214034142042231
610345025131105
71020614123315
oct153464317321
941244386315
1014442143441
116141239140
122970789a95
1314920b780b
149b00cbb45
15597d6d92b
hex35cd19ed1

14442143441 has 32 divisors (see below), whose sum is σ = 16473010176. Its totient is φ = 12546576000.

The previous prime is 14442143431. The next prime is 14442143479. The reversal of 14442143441 is 14434124441.

It is a cyclic number.

It is not a de Polignac number, because 14442143441 - 210 = 14442142417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14442143398 and 14442143407.

It is not an unprimeable number, because it can be changed into a prime (14442143431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5218040 + ... + 5220806.

It is an arithmetic number, because the mean of its divisors is an integer number (514781568).

Almost surely, 214442143441 is an apocalyptic number.

14442143441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14442143441 is a deficient number, since it is larger than the sum of its proper divisors (2030866735).

14442143441 is a wasteful number, since it uses less digits than its factorization.

14442143441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053.

The product of its digits is 24576, while the sum is 32.

Adding to 14442143441 its reverse (14434124441), we get a palindrome (28876267882).

The spelling of 14442143441 in words is "fourteen billion, four hundred forty-two million, one hundred forty-three thousand, four hundred forty-one".

Divisors: 1 11 41 71 163 451 781 1793 2767 2911 6683 11573 30437 32021 73513 113447 127303 196457 451021 474493 1247917 2161027 4961231 5219423 8054737 18491861 32022491 88602107 203410471 352247401 1312922131 14442143441