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144164141 = 11137271353
BaseRepresentation
bin10001001011111…
…00010100101101
3101001021022000122
420211330110231
5243401223031
622145534325
73400242422
oct1045742455
9331238018
10144164141
1174416720
12403443a5
1323b37834
1415209d49
15c9ca47b
hex897c52d

144164141 has 16 divisors (see below), whose sum is σ = 159452928. Its totient is φ = 129254400.

The previous prime is 144164129. The next prime is 144164149. The reversal of 144164141 is 141461441.

144164141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-144164141 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144164141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144164149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408221 + ... + 408573.

It is an arithmetic number, because the mean of its divisors is an integer number (9965808).

Almost surely, 2144164141 is an apocalyptic number.

144164141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144164141 is a deficient number, since it is larger than the sum of its proper divisors (15288787).

144164141 is a wasteful number, since it uses less digits than its factorization.

144164141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772.

The product of its digits is 1536, while the sum is 26.

The square root of 144164141 is about 12006.8372604945. The cubic root of 144164141 is about 524.3473565133.

The spelling of 144164141 in words is "one hundred forty-four million, one hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 11 137 271 353 1507 2981 3883 37127 48361 95663 408397 531971 1052293 13105831 144164141