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144255744 = 28321729127
BaseRepresentation
bin10001001100100…
…10101100000000
3101001102221200100
420212102230000
5243412140434
622151522400
73401103453
oct1046225400
9331387610
10144255744
1174479526
1240389400
1323b6a439
141523149a
15c9e7699
hex8992b00

144255744 has 216 divisors, whose sum is σ = 459164160. Its totient is φ = 43352064.

The previous prime is 144255703. The next prime is 144255751. The reversal of 144255744 is 447552441.

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 = 144255699 and 144255708.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135809 + ... + 1135935.

It is an arithmetic number, because the mean of its divisors is an integer number (2125760).

Almost surely, 2144255744 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 144255744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229582080).

144255744 is an abundant number, since it is smaller than the sum of its proper divisors (314908416).

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

144255744 is a wasteful number, since it uses less digits than its factorization.

144255744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The square root of 144255744 is about 12010.6512729327. The cubic root of 144255744 is about 524.4583911088.

The spelling of 144255744 in words is "one hundred forty-four million, two hundred fifty-five thousand, seven hundred forty-four".