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144134406 = 232131095651
BaseRepresentation
bin10001001011101…
…01000100000110
3101001012210020100
420211311010012
5243344300111
622145144530
73400056633
oct1045650406
9331183210
10144134406
11743a6349
124032b146
1323b27140
14151dd18a
15c9c1756
hex8975106

144134406 has 48 divisors (see below), whose sum is σ = 339459120. Its totient is φ = 43934400.

The previous prime is 144134387. The next prime is 144134411. The reversal of 144134406 is 604431441.

It is a self number, because there is not a number n which added to its sum of digits gives 144134406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22681 + ... + 28331.

It is an arithmetic number, because the mean of its divisors is an integer number (7072065).

Almost surely, 2144134406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144134406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169729560).

144134406 is an abundant number, since it is smaller than the sum of its proper divisors (195324714).

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

144134406 is a wasteful number, since it uses less digits than its factorization.

144134406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 144134406 is about 12005.5989438262. The cubic root of 144134406 is about 524.3113037644.

Adding to 144134406 its reverse (604431441), we get a palindrome (748565847).

The spelling of 144134406 in words is "one hundred forty-four million, one hundred thirty-four thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 109 117 218 234 327 654 981 1417 1962 2834 4251 5651 8502 11302 12753 16953 25506 33906 50859 73463 101718 146926 220389 440778 615959 661167 1231918 1322334 1847877 3695754 5543631 8007467 11087262 16014934 24022401 48044802 72067203 144134406