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144404512 = 257738831
BaseRepresentation
bin10001001101101…
…11000000100000
3101001201111202021
420212313000200
5243431421022
622155031224
73402263260
oct1046670040
9331644667
10144404512
117457027a
124043b514
1323bc0075
141526d7a0
15ca267c7
hex89b7020

144404512 has 48 divisors (see below), whose sum is σ = 329398272. Its totient is φ = 61032960.

The previous prime is 144404473. The next prime is 144404527. The reversal of 144404512 is 215404441.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11937 + ... + 20767.

It is an arithmetic number, because the mean of its divisors is an integer number (6862464).

Almost surely, 2144404512 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 144404512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164699136).

144404512 is an abundant number, since it is smaller than the sum of its proper divisors (184993760).

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

144404512 is an equidigital number, since it uses as much as digits as its factorization.

144404512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8921 (or 8913 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 144404512 is about 12016.8428466049. The cubic root of 144404512 is about 524.6386169079.

Adding to 144404512 its reverse (215404441), we get a palindrome (359808953).

The spelling of 144404512 in words is "one hundred forty-four million, four hundred four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 8176 8831 16352 17662 35324 61817 70648 123634 141296 247268 282592 494536 644663 989072 1289326 1978144 2578652 4512641 5157304 9025282 10314608 18050564 20629216 36101128 72202256 144404512