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144443232 = 2532539463
BaseRepresentation
bin10001001110000…
…00011101100000
3101001210110212100
420213000131200
5243434140412
622155530400
73402514203
oct1047003540
9331713770
10144443232
117459737a
1240459a00
1323c0488b
141527d93a
15ca32edc
hex89c0760

144443232 has 72 divisors (see below), whose sum is σ = 418554864. Its totient is φ = 47234304.

The previous prime is 144443219. The next prime is 144443281. The reversal of 144443232 is 232344441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144443196 and 144443205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10533 + ... + 19995.

It is an arithmetic number, because the mean of its divisors is an integer number (5813262).

Almost surely, 2144443232 is an apocalyptic number.

144443232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209277432).

144443232 is an abundant number, since it is smaller than the sum of its proper divisors (274111632).

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

144443232 is a wasteful number, since it uses less digits than its factorization.

144443232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9532 (or 9521 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 144443232 is about 12018.4538107029. The cubic root of 144443232 is about 524.6855041591.

Adding to 144443232 its reverse (232344441), we get a palindrome (376787673).

The spelling of 144443232 in words is "one hundred forty-four million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 9463 15264 18926 28389 37852 56778 75704 85167 113556 151408 170334 227112 302816 340668 454224 501539 681336 908448 1003078 1362672 1504617 2006156 2725344 3009234 4012312 4513851 6018468 8024624 9027702 12036936 16049248 18055404 24073872 36110808 48147744 72221616 144443232