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144131550 = 23527912163
BaseRepresentation
bin10001001011101…
…00010111011110
3101001012122022120
420211310113132
5243344202200
622145123410
73400045413
oct1045642736
9331178276
10144131550
11743a4192
1240329566
1323b25a54
14151dc10a
15c9c09a0
hex89745de

144131550 has 48 divisors (see below), whose sum is σ = 362000640. Its totient is φ = 37945440.

The previous prime is 144131531. The next prime is 144131557. The reversal of 144131550 is 55131441.

It is a happy number.

144131550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144131550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144131557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5769 + ... + 17931.

It is an arithmetic number, because the mean of its divisors is an integer number (7541680).

Almost surely, 2144131550 is an apocalyptic number.

144131550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144131550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181000320).

144131550 is an abundant number, since it is smaller than the sum of its proper divisors (217869090).

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

144131550 is a wasteful number, since it uses less digits than its factorization.

144131550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12257 (or 12252 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 144131550 is about 12005.4799987339. The cubic root of 144131550 is about 524.3078406936.

Adding to 144131550 its reverse (55131441), we get a palindrome (199262991).

The spelling of 144131550 in words is "one hundred forty-four million, one hundred thirty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 150 158 237 395 474 790 1185 1975 2370 3950 5925 11850 12163 24326 36489 60815 72978 121630 182445 304075 364890 608150 912225 960877 1824450 1921754 2882631 4804385 5765262 9608770 14413155 24021925 28826310 48043850 72065775 144131550