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144256428 = 22324007123
BaseRepresentation
bin10001001100100…
…10110110101100
3101001102222121200
420212102312230
5243412201203
622151525500
73401105451
oct1046226654
9331388550
10144256428
1174479a98
1240389890
1323b6a844
1415231828
15c9e79a3
hex8992dac

144256428 has 18 divisors (see below), whose sum is σ = 364648284. Its totient is φ = 48085464.

The previous prime is 144256421. The next prime is 144256439. The reversal of 144256428 is 824652441.

144256428 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 5 + 642 + 8 = 666.

144256428 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4007123 = 144256428 / (1 + 4 + 4 + 2 + 5 + 6 + 4 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 144256392 and 144256401.

It is not an unprimeable number, because it can be changed into a prime (144256421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2003526 + ... + 2003597.

It is an arithmetic number, because the mean of its divisors is an integer number (20258238).

Almost surely, 2144256428 is an apocalyptic number.

144256428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144256428 is an abundant number, since it is smaller than the sum of its proper divisors (220391856).

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

144256428 is a wasteful number, since it uses less digits than its factorization.

144256428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007133 (or 4007128 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 144256428 is about 12010.6797476246. The cubic root of 144256428 is about 524.4592200278.

The spelling of 144256428 in words is "one hundred forty-four million, two hundred fifty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 4007123 8014246 12021369 16028492 24042738 36064107 48085476 72128214 144256428