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144315105 = 3511874637
BaseRepresentation
bin10001001101000…
…01001011100001
3101001112222002220
420212201023201
5243421040410
622153101253
73401441514
oct1046411341
9331488086
10144315105
117450a090
12403b7829
1323b8b46c
1415248d7b
15ca0a070
hex89a12e1

144315105 has 16 divisors (see below), whose sum is σ = 251895744. Its totient is φ = 69970880.

The previous prime is 144315103. The next prime is 144315139. The reversal of 144315105 is 501513441.

It is a happy number.

It is not a de Polignac number, because 144315105 - 21 = 144315103 is a prime.

It is a super-2 number, since 2×1443151052 = 41653699062322050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144315103) 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, 437154 + ... + 437483.

It is an arithmetic number, because the mean of its divisors is an integer number (15743484).

Almost surely, 2144315105 is an apocalyptic number.

144315105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144315105 is a deficient number, since it is larger than the sum of its proper divisors (107580639).

144315105 is a wasteful number, since it uses less digits than its factorization.

144315105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874656.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 144315105 is about 12013.1222003274. The cubic root of 144315105 is about 524.5303191637.

Adding to 144315105 its reverse (501513441), we get a palindrome (645828546).

The spelling of 144315105 in words is "one hundred forty-four million, three hundred fifteen thousand, one hundred five".

Divisors: 1 3 5 11 15 33 55 165 874637 2623911 4373185 9621007 13119555 28863021 48105035 144315105