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144526112 = 25172311551
BaseRepresentation
bin10001001110101…
…00101100100000
3101001221200112222
420213110230200
5243444313422
622201410212
73403310633
oct1047245440
9331850488
10144526112
1174643675
1240499968
1323c33513
14152a1c1a
15ca4c842
hex89d4b20

144526112 has 48 divisors (see below), whose sum is σ = 314399232. Its totient is φ = 65049600.

The previous prime is 144526091. The next prime is 144526153. The reversal of 144526112 is 211625441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6737 + ... + 18287.

It is an arithmetic number, because the mean of its divisors is an integer number (6549984).

Almost surely, 2144526112 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 144526112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157199616).

144526112 is an abundant number, since it is smaller than the sum of its proper divisors (169873120).

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

144526112 is a wasteful number, since it uses less digits than its factorization.

144526112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11601 (or 11593 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 144526112 is about 12021.9013471248. The cubic root of 144526112 is about 524.7858379705.

The spelling of 144526112 in words is "one hundred forty-four million, five hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1564 3128 6256 11551 12512 23102 46204 92408 184816 196367 265673 369632 392734 531346 785468 1062692 1570936 2125384 3141872 4250768 4516441 6283744 8501536 9032882 18065764 36131528 72263056 144526112