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144332132 = 227192109131
BaseRepresentation
bin10001001101001…
…01010101100100
3101001120211110112
420212211111210
5243422112012
622153312152
73401542250
oct1046452544
9331524415
10144332132
117452095a
1240405658
1323b96139
1415251260
15ca10122
hex89a5564

144332132 has 72 divisors (see below), whose sum is σ = 309798720. Its totient is φ = 57620160.

The previous prime is 144332119. The next prime is 144332143. The reversal of 144332132 is 231233441.

It is a junction number, because it is equal to n+sod(n) for n = 144332098 and 144332107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101707 + ... + 1101837.

It is an arithmetic number, because the mean of its divisors is an integer number (4302760).

Almost surely, 2144332132 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 144332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154899360).

144332132 is an abundant number, since it is smaller than the sum of its proper divisors (165466588).

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

144332132 is a wasteful number, since it uses less digits than its factorization.

144332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 144332132 is about 12013.8308628014. The cubic root of 144332132 is about 524.5509472343.

Adding to 144332132 its reverse (231233441), we get a palindrome (375565573).

The spelling of 144332132 in words is "one hundred forty-four million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 109 131 133 218 262 266 361 436 524 532 722 763 917 1444 1526 1834 2071 2489 2527 3052 3668 4142 4978 5054 8284 9956 10108 14279 14497 17423 28558 28994 34846 39349 47291 57116 57988 69692 78698 94582 99953 157396 189164 199906 271301 275443 331037 399812 542602 550886 662074 1085204 1101772 1324148 1899107 3798214 5154719 7596428 10309438 20618876 36083033 72166066 144332132