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144737028 = 223229138637
BaseRepresentation
bin10001010000010…
…00001100000100
3101002100101212200
420220020030010
5244023041103
622210114500
73405146562
oct1050101404
9332311780
10144737028
1174778087
124057ba30
1323ca8517
1415318a32
15ca900a3
hex8a08304

144737028 has 36 divisors (see below), whose sum is σ = 378481740. Its totient is φ = 46581696.

The previous prime is 144737023. The next prime is 144737029. The reversal of 144737028 is 820737441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69255684 + 75481344 = 8322^2 + 8688^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144736983 and 144737001.

It is not an unprimeable number, because it can be changed into a prime (144737023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68275 + ... + 70362.

Almost surely, 2144737028 is an apocalyptic number.

144737028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144737028 is an abundant number, since it is smaller than the sum of its proper divisors (233744712).

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

144737028 is a wasteful number, since it uses less digits than its factorization.

144737028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138676 (or 138671 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 144737028 is about 12030.6703055150. The cubic root of 144737028 is about 525.0409981588.

The spelling of 144737028 in words is "one hundred forty-four million, seven hundred thirty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 138637 277274 415911 554548 831822 1247733 1663644 2495466 4020473 4990932 8040946 12061419 16081892 24122838 36184257 48245676 72368514 144737028