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144431441 = 71110318211
BaseRepresentation
bin10001001101111…
…01100101010001
3101001202212200122
420212331211101
5243433301231
622155400025
73402434630
oct1046754521
9331685618
10144431441
1174589530
1240453015
1323bcc3bb
1415279517
15ca2e77b
hex89bd951

144431441 has 16 divisors (see below), whose sum is σ = 181828608. Its totient is φ = 111445200.

The previous prime is 144431437. The next prime is 144431477. The reversal of 144431441 is 144134441.

144431441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 144431441 - 22 = 144431437 is a prime.

It is a super-2 number, since 2×1444314412 = 41720882298672962, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144431441.

It is not an unprimeable number, because it can be changed into a prime (144431411) 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, 1175 + ... + 17036.

It is an arithmetic number, because the mean of its divisors is an integer number (11364288).

Almost surely, 2144431441 is an apocalyptic number.

144431441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144431441 is a deficient number, since it is larger than the sum of its proper divisors (37397167).

144431441 is a wasteful number, since it uses less digits than its factorization.

144431441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18332.

The product of its digits is 3072, while the sum is 26.

The square root of 144431441 is about 12017.9632633820. The cubic root of 144431441 is about 524.6712269582.

Adding to 144431441 its reverse (144134441), we get a palindrome (288565882).

The spelling of 144431441 in words is "one hundred forty-four million, four hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 7 11 77 103 721 1133 7931 18211 127477 200321 1402247 1875733 13130131 20633063 144431441