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144443424 = 25317671321
BaseRepresentation
bin10001001110000…
…00100000100000
3101001210111010110
420213000200200
5243434142144
622155531320
73402514566
oct1047004040
9331714113
10144443424
1174597534
1240459b40
1323c049a8
141527da36
15ca330b9
hex89c0820

144443424 has 96 divisors (see below), whose sum is σ = 407768256. Its totient is φ = 44605440.

The previous prime is 144443419. The next prime is 144443443. The reversal of 144443424 is 424344441.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 144443391 and 144443400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108684 + ... + 110004.

It is an arithmetic number, because the mean of its divisors is an integer number (4247586).

Almost surely, 2144443424 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 144443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203884128).

144443424 is an abundant number, since it is smaller than the sum of its proper divisors (263324832).

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

144443424 is a wasteful number, since it uses less digits than its factorization.

144443424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1410 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 144443424 is about 12018.4617984166. The cubic root of 144443424 is about 524.6857366370.

Adding to 144443424 its reverse (424344441), we get a palindrome (568787865).

The spelling of 144443424 in words is "one hundred forty-four million, four hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 67 68 96 102 134 136 201 204 268 272 402 408 536 544 804 816 1072 1139 1321 1608 1632 2144 2278 2642 3216 3417 3963 4556 5284 6432 6834 7926 9112 10568 13668 15852 18224 21136 22457 27336 31704 36448 42272 44914 54672 63408 67371 88507 89828 109344 126816 134742 177014 179656 265521 269484 354028 359312 531042 538968 708056 718624 1062084 1077936 1416112 1504619 2124168 2155872 2832224 3009238 4248336 4513857 6018476 8496672 9027714 12036952 18055428 24073904 36110856 48147808 72221712 144443424