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144444032 = 271378237
BaseRepresentation
bin10001001110000…
…00101010000000
3101001210111221222
420213000222000
5243434202112
622155534212
73402516425
oct1047005200
9331714858
10144444032
1174597a37
124045a368
1323c05055
141527dd4c
15ca33372
hex89c0a80

144444032 has 32 divisors (see below), whose sum is σ = 289895220. Its totient is φ = 71686144.

The previous prime is 144444017. The next prime is 144444067. The reversal of 144444032 is 230444441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 142659136 + 1784896 = 11944^2 + 1336^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 144443992 and 144444010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13418 + ... + 21654.

Almost surely, 2144444032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144947610).

144444032 is an abundant number, since it is smaller than the sum of its proper divisors (145451188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144444032 is an equidigital number, since it uses as much as digits as its factorization.

144444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 144444032 is about 12018.4870928083. The cubic root of 144444032 is about 524.6864728156.

Adding to 144444032 its reverse (230444441), we get a palindrome (374888473).

The spelling of 144444032 in words is "one hundred forty-four million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8237 8768 16474 17536 32948 65896 131792 263584 527168 1054336 1128469 2256938 4513876 9027752 18055504 36111008 72222016 144444032