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144120025 = 5278
BaseRepresentation
bin10001001011100…
…01100011011001
3101001012001111201
420211301203121
5243343320100
622144554201
73400000000
oct1045614331
9331161451
10144120025
1174396565
1240322961
1323b2072a
14151d7c37
15c9bc36a
hex89718d9

144120025 has 27 divisors (see below), whose sum is σ = 208493631. Its totient is φ = 98825160.

The previous prime is 144120019. The next prime is 144120029. The reversal of 144120025 is 520021441.

The square root of 144120025 is 12005.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51883209 + 92236816 = 7203^2 + 9604^2 .

It is not a de Polignac number, because 144120025 - 29 = 144119513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144119984 and 144120011.

It is not an unprimeable number, because it can be changed into a prime (144120029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20588572 + ... + 20588578.

Almost surely, 2144120025 is an apocalyptic number.

144120025 is the 12005-th square number.

144120025 is the 6003-rd centered octagonal number.

It is an amenable number.

144120025 is a deficient number, since it is larger than the sum of its proper divisors (64373606).

144120025 is an frugal number, since it uses more digits than its factorization.

144120025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The cubic root of 144120025 is about 524.2938654769.

Adding to 144120025 its reverse (520021441), we get a palindrome (664141466).

The spelling of 144120025 in words is "one hundred forty-four million, one hundred twenty thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 2401 8575 12005 16807 60025 84035 117649 420175 588245 823543 2941225 4117715 5764801 20588575 28824005 144120025