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144553312 = 2517467569
BaseRepresentation
bin10001001110110…
…11010101100000
3101002000001212101
420213123111200
5244001201222
622202140144
73403453141
oct1047332540
9332001771
10144553312
1174662052
12404b1654
1323c42a07
14152abac8
15ca55927
hex89db560

144553312 has 48 divisors (see below), whose sum is σ = 302505840. Its totient is φ = 67760128.

The previous prime is 144553303. The next prime is 144553351. The reversal of 144553312 is 213355441.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 253764 + ... + 254332.

It is an arithmetic number, because the mean of its divisors is an integer number (6302205).

Almost surely, 2144553312 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 144553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151252920).

144553312 is an abundant number, since it is smaller than the sum of its proper divisors (157952528).

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

144553312 is a wasteful number, since it uses less digits than its factorization.

144553312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1055 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 144553312 is about 12023.0325625443. The cubic root of 144553312 is about 524.8187576951.

The spelling of 144553312 in words is "one hundred forty-four million, five hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 467 544 569 934 1138 1868 2276 3736 4552 7472 7939 9104 9673 14944 15878 18208 19346 31756 38692 63512 77384 127024 154768 254048 265723 309536 531446 1062892 2125784 4251568 4517291 8503136 9034582 18069164 36138328 72276656 144553312