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144404325 = 32521349369
BaseRepresentation
bin10001001101101…
…10111101100101
3101001201111111100
420212312331211
5243431414300
622155030313
73402262602
oct1046667545
9331644440
10144404325
117457011a
124043b399
1323bbcc60
141526d6a9
15ca26700
hex89b6f65

144404325 has 36 divisors (see below), whose sum is σ = 278545540. Its totient is φ = 71089920.

The previous prime is 144404321. The next prime is 144404333. The reversal of 144404325 is 523404441.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 35034561 + 109369764 = 5919^2 + 10458^2 .

It is not a de Polignac number, because 144404325 - 22 = 144404321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144404321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21760 + ... + 27609.

Almost surely, 2144404325 is an apocalyptic number.

144404325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144404325 is a deficient number, since it is larger than the sum of its proper divisors (134141215).

144404325 is a wasteful number, since it uses less digits than its factorization.

144404325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49398 (or 49390 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 144404325 is about 12016.8350658566. The cubic root of 144404325 is about 524.6383904435.

Adding to 144404325 its reverse (523404441), we get a palindrome (667808766).

The spelling of 144404325 in words is "one hundred forty-four million, four hundred four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 49369 148107 246845 444321 641797 740535 1234225 1925391 2221605 3208985 3702675 5776173 9626955 11108025 16044925 28880865 48134775 144404325