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144315431 = 13171934369
BaseRepresentation
bin10001001101000…
…01010000100111
3101001112222112222
420212201100213
5243421043211
622153102555
73401442461
oct1046412047
9331488488
10144315431
117450a357
12403b7a5b
1323b8b660
1415249131
15ca0a1db
hex89a1427

144315431 has 16 divisors (see below), whose sum is σ = 173224800. Its totient is φ = 118775808.

The previous prime is 144315421. The next prime is 144315433. The reversal of 144315431 is 134513441.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 144315431 - 214 = 144299047 is a prime.

It is a super-2 number, since 2×1443154312 = 41653887249431522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144315431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144315433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12986 + ... + 21383.

It is an arithmetic number, because the mean of its divisors is an integer number (10826550).

Almost surely, 2144315431 is an apocalyptic number.

144315431 is a deficient number, since it is larger than the sum of its proper divisors (28909369).

144315431 is a wasteful number, since it uses less digits than its factorization.

144315431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34418.

The product of its digits is 2880, while the sum is 26.

The square root of 144315431 is about 12013.1357688157. The cubic root of 144315431 is about 524.5307141252.

Adding to 144315431 its reverse (134513441), we get a palindrome (278828872).

The spelling of 144315431 in words is "one hundred forty-four million, three hundred fifteen thousand, four hundred thirty-one".

Divisors: 1 13 17 19 221 247 323 4199 34369 446797 584273 653011 7595549 8489143 11101187 144315431