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144144525 = 3527261643
BaseRepresentation
bin10001001011101…
…11100010001101
3101001020022010010
420211313202031
5243400111100
622145303433
73400131300
oct1045674215
9331208103
10144144525
1174402a08
1240334b79
1323b2b925
1415202b37
15c9c4750
hex897788d

144144525 has 72 divisors (see below), whose sum is σ = 282211104. Its totient is φ = 64713600.

The previous prime is 144144521. The next prime is 144144541. The reversal of 144144525 is 525441441.

144144525 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 144144525 - 22 = 144144521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144144492 and 144144501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144144521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223854 + ... + 224496.

Almost surely, 2144144525 is an apocalyptic number.

144144525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144144525 is a deficient number, since it is larger than the sum of its proper divisors (138066579).

144144525 is a wasteful number, since it uses less digits than its factorization.

144144525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 144144525 is about 12006.0203648003. The cubic root of 144144525 is about 524.3235732890.

Adding to 144144525 its reverse (525441441), we get a palindrome (669585966).

The spelling of 144144525 in words is "one hundred forty-four million, one hundred forty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 61 75 105 147 175 183 245 305 427 525 643 735 915 1225 1281 1525 1929 2135 2989 3215 3675 4501 4575 6405 8967 9645 10675 13503 14945 16075 22505 31507 32025 39223 44835 48225 67515 74725 94521 112525 117669 157535 196115 224175 274561 337575 472605 588345 787675 823683 980575 1372805 1921927 2363025 2941725 4118415 5765781 6864025 9609635 20592075 28828905 48048175 144144525