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144144441 = 36747601
BaseRepresentation
bin10001001011101…
…11100000111001
3101001020022000000
420211313200321
5243400110231
622145303213
73400131120
oct1045674071
9331208000
10144144441
1174402941
1240334b09
1323b2b88c
1415202ab7
15c9c46e6
hex8977839

144144441 has 56 divisors (see below), whose sum is σ = 252666624. Its totient is φ = 80481600.

The previous prime is 144144433. The next prime is 144144443. The reversal of 144144441 is 144441441.

144144441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144144441 - 23 = 144144433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144144443) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 239541 + ... + 240141.

It is an arithmetic number, because the mean of its divisors is an integer number (4511904).

Almost surely, 2144144441 is an apocalyptic number.

It is an amenable number.

144144441 is a deficient number, since it is larger than the sum of its proper divisors (108522183).

144144441 is an frugal number, since it uses more digits than its factorization.

144144441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 658 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 144144441 is about 12006.0168665549. The cubic root of 144144441 is about 524.3234714394.

Adding to 144144441 its reverse (144441441), we get a palindrome (288585882).

The spelling of 144144441 in words is "one hundred forty-four million, one hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 47 63 81 141 189 243 329 423 567 601 729 987 1269 1701 1803 2961 3807 4207 5103 5409 8883 11421 12621 16227 26649 28247 34263 37863 48681 79947 84741 113589 146043 197729 239841 254223 340767 438129 593187 762669 1022301 1779561 2288007 3066903 5338683 6864021 16016049 20592063 48048147 144144441