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144247428 = 2232131931597
BaseRepresentation
bin10001001100100…
…00101010000100
3101001102112021100
420212100222010
5243411404203
622151420100
73401040303
oct1046205204
9331375240
10144247428
1174473256
1240384630
1323b66710
141522c43a
15c9e4ea3
hex8990a84

144247428 has 72 divisors (see below), whose sum is σ = 394955288. Its totient is φ = 44126208.

The previous prime is 144247409. The next prime is 144247429. The reversal of 144247428 is 824742441.

It can be written as a sum of positive squares in 4 ways, for example, as 1397124 + 142850304 = 1182^2 + 11952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144247392 and 144247401.

It is not an unprimeable number, because it can be changed into a prime (144247429) 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, 89526 + ... + 91122.

Almost surely, 2144247428 is an apocalyptic number.

144247428 is a gapful number since it is divisible by the number (18) 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 144247428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197477644).

144247428 is an abundant number, since it is smaller than the sum of its proper divisors (250707860).

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

144247428 is a wasteful number, since it uses less digits than its factorization.

144247428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1808 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 144247428 is about 12010.3050752260. The cubic root of 144247428 is about 524.4483129895.

Adding to 144247428 its reverse (824742441), we get a palindrome (968989869).

The spelling of 144247428 in words is "one hundred forty-four million, two hundred forty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 193 234 386 468 579 772 1158 1597 1737 2316 2509 3194 3474 4791 5018 6388 6948 7527 9582 10036 14373 15054 19164 20761 22581 28746 30108 41522 45162 57492 62283 83044 90324 124566 186849 249132 308221 373698 616442 747396 924663 1232884 1849326 2773989 3698652 4006873 5547978 8013746 11095956 12020619 16027492 24041238 36061857 48082476 72123714 144247428