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144112221 = 32114397349
BaseRepresentation
bin10001001011011…
…11101001011101
3101001011122210200
420211233221131
5243343042341
622144454113
73366635151
oct1045575135
9331148720
10144112221
1174390710
124031a339
1323b1a006
14151d5061
15c9b9db6
hex896fa5d

144112221 has 48 divisors (see below), whose sum is σ = 235435200. Its totient is φ = 84188160.

The previous prime is 144112217. The next prime is 144112229. The reversal of 144112221 is 122211441.

144112221 is a `hidden beast` number, since 1 + 441 + 1 + 2 + 221 = 666.

It is not a de Polignac number, because 144112221 - 22 = 144112217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144112194 and 144112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144112229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412755 + ... + 413103.

It is an arithmetic number, because the mean of its divisors is an integer number (4904900).

Almost surely, 2144112221 is an apocalyptic number.

144112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144112221 is a deficient number, since it is larger than the sum of its proper divisors (91322979).

144112221 is a wasteful number, since it uses less digits than its factorization.

144112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 503 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 144112221 is about 12004.6749643628. The cubic root of 144112221 is about 524.2844019223.

Adding to 144112221 its reverse (122211441), we get a palindrome (266323662).

The spelling of 144112221 in words is "one hundred forty-four million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 43 97 99 129 291 349 387 473 873 1047 1067 1419 3141 3201 3839 4171 4257 9603 11517 12513 15007 33853 34551 37539 45021 45881 101559 135063 137643 165077 304677 372383 412929 495231 1117149 1455679 1485693 3351447 4367037 13101111 16012469 48037407 144112221