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144206265025 = 5253214332
BaseRepresentation
bin1000011001001101011…
…1001111101011000001
3111210012222112021121201
42012103113033223001
54330313300440100
6150125240421201
713263365012434
oct2062327175301
9453188467551
10144206265025
115618074a329
1223b46477801
13107a2152504
146da011581b
153b4013c36a
hex21935cfac1

144206265025 has 27 divisors (see below), whose sum is σ = 182380581019. Its totient is φ = 113109326720.

The previous prime is 144206265019. The next prime is 144206265059. The reversal of 144206265025 is 520562602441.

It is a happy number.

The square root of 144206265025 is 379745.

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

144206265025 is digitally balanced in base 2 and base 11, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 15944870529 + 128261394496 = 126273^2 + 358136^2 .

It is not a de Polignac number, because 144206265025 - 27 = 144206264897 is a prime.

It is a Duffinian number.

144206265025 is strictly pandigital in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100631709 + ... + 100633141.

Almost surely, 2144206265025 is an apocalyptic number.

144206265025 is the 379745-th square number.

144206265025 is the 189873-rd centered octagonal number.

It is an amenable number.

144206265025 is a deficient number, since it is larger than the sum of its proper divisors (38174315994).

144206265025 is an frugal number, since it uses more digits than its factorization.

144206265025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 144206265025 its reverse (520562602441), we get a palindrome (664768867466).

The spelling of 144206265025 in words is "one hundred forty-four billion, two hundred six million, two hundred sixty-five thousand, twenty-five".

Divisors: 1 5 25 53 265 1325 1433 2809 7165 14045 35825 70225 75949 379745 1898725 2053489 4025297 10267445 20126485 51337225 100632425 108834917 544174585 2720872925 5768250601 28841253005 144206265025