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144395196 = 2231123199239
BaseRepresentation
bin10001001101101…
…00101110111100
3101001201000222020
420212310232330
5243431121241
622154520140
73402224151
oct1046645674
9331630866
10144395196
1174564280
1240436050
1323bb8a5a
141526a228
15ca23b66
hex89b4bbc

144395196 has 96 divisors (see below), whose sum is σ = 387072000. Its totient is φ = 41469120.

The previous prime is 144395159. The next prime is 144395197. The reversal of 144395196 is 691593441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144395197) 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, 604045 + ... + 604283.

It is an arithmetic number, because the mean of its divisors is an integer number (4032000).

Almost surely, 2144395196 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 144395196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

144395196 is an abundant number, since it is smaller than the sum of its proper divisors (242676804).

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

144395196 is a wasteful number, since it uses less digits than its factorization.

144395196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 144395196 is about 12016.4552177420. The cubic root of 144395196 is about 524.6273346232.

The spelling of 144395196 in words is "one hundred forty-four million, three hundred ninety-five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 199 239 253 276 398 478 506 597 717 759 796 956 1012 1194 1434 1518 2189 2388 2629 2868 3036 4378 4577 5258 5497 6567 7887 8756 9154 10516 10994 13134 13731 15774 16491 18308 21988 26268 27462 31548 32982 47561 50347 54924 60467 65964 95122 100694 120934 142683 151041 181401 190244 201388 241868 285366 302082 362802 523171 570732 604164 725604 1046342 1093903 1569513 2092684 2187806 3139026 3281709 4375612 6278052 6563418 12032933 13126836 24065866 36098799 48131732 72197598 144395196