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144145044 = 223237108217
BaseRepresentation
bin10001001011101…
…11101010010100
3101001020022211100
420211313222110
5243400120134
622145310100
73400132641
oct1045675224
9331208740
10144145044
117440333a
1240335330
1323b2bc34
1415202dc8
15c9c4999
hex8977a94

144145044 has 36 divisors (see below), whose sum is σ = 374217844. Its totient is φ = 46749312.

The previous prime is 144144977. The next prime is 144145061. The reversal of 144145044 is 440541441.

144145044 is a `hidden beast` number, since 144 + 14 + 504 + 4 = 666.

144145044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 78535044 + 65610000 = 8862^2 + 8100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 144144999 and 144145017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52777 + ... + 55440.

Almost surely, 2144145044 is an apocalyptic number.

It is an amenable number.

144145044 is an abundant number, since it is smaller than the sum of its proper divisors (230072800).

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

144145044 is a wasteful number, since it uses less digits than its factorization.

144145044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108264 (or 108259 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 144145044 is about 12006.0419789371. The cubic root of 144145044 is about 524.3242025732.

Adding to 144145044 its reverse (440541441), we get a palindrome (584686485).

The spelling of 144145044 in words is "one hundred forty-four million, one hundred forty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 108217 216434 324651 432868 649302 973953 1298604 1947906 3895812 4004029 8008058 12012087 16016116 24024174 36036261 48048348 72072522 144145044