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144233838 = 2337735227
BaseRepresentation
bin10001001100011…
…01010101101110
3101001101211122000
420212031111232
5243410440323
622151233130
73400652550
oct1046152556
9331354560
10144233838
1174464021
12403787a6
1323b60488
14152274d0
15c9e0e43
hex898d56e

144233838 has 64 divisors (see below), whose sum is σ = 371397120. Its totient is φ = 40637376.

The previous prime is 144233833. The next prime is 144233839. The reversal of 144233838 is 838332441.

It is a happy number.

144233838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144233833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24981 + ... + 30207.

It is an arithmetic number, because the mean of its divisors is an integer number (5803080).

Almost surely, 2144233838 is an apocalyptic number.

144233838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144233838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185698560).

144233838 is an abundant number, since it is smaller than the sum of its proper divisors (227163282).

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

144233838 is a wasteful number, since it uses less digits than its factorization.

144233838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 5312 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 144233838 is about 12009.7392977533. The cubic root of 144233838 is about 524.4318425019.

The spelling of 144233838 in words is "one hundred forty-four million, two hundred thirty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 438 511 657 1022 1314 1533 1971 3066 3942 4599 5227 9198 10454 13797 15681 27594 31362 36589 47043 73178 94086 109767 141129 219534 282258 329301 381571 658602 763142 987903 1144713 1975806 2289426 2670997 3434139 5341994 6868278 8012991 10302417 16025982 20604834 24038973 48077946 72116919 144233838