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144666441 = 32611012609
BaseRepresentation
bin10001001111101…
…10111101001001
3101002012211001100
420213312331021
5244013311231
622204412013
73404434023
oct1047667511
9332184040
10144666441
117472a047
1240547009
1323c8235a
14152db013
15ca791e6
hex89f6f49

144666441 has 24 divisors (see below), whose sum is σ = 214573320. Its totient is φ = 93888000.

The previous prime is 144666391. The next prime is 144666463.

144666441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19316025 + 125350416 = 4395^2 + 11196^2 .

It is not a de Polignac number, because 144666441 - 211 = 144664393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144666396 and 144666405.

It is not an unprimeable number, because it can be changed into a prime (144666341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54145 + ... + 56753.

It is an arithmetic number, because the mean of its divisors is an integer number (8940555).

Almost surely, 2144666441 is an apocalyptic number.

It is an amenable number.

144666441 is a deficient number, since it is larger than the sum of its proper divisors (69906879).

144666441 is a wasteful number, since it uses less digits than its factorization.

144666441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2774 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 144666441 is about 12027.7363206881. The cubic root of 144666441 is about 524.9556316246.

The spelling of 144666441 in words is "one hundred forty-four million, six hundred sixty-six thousand, four hundred forty-one".

Divisors: 1 3 9 61 101 183 303 549 909 2609 6161 7827 18483 23481 55449 159149 263509 477447 790527 1432341 2371581 16074049 48222147 144666441