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144032112 = 24327433323
BaseRepresentation
bin10001001010111…
…00000101110000
3101001000120220200
420211130011300
5243333011422
622143035200
73366152460
oct1045340560
9331016820
10144032112
1174336504
124029bb00
1323abc703
14151b3ba0
15c9a12ac
hex895c170

144032112 has 120 divisors (see below), whose sum is σ = 471529344. Its totient is φ = 40182912.

The previous prime is 144032093. The next prime is 144032131. The reversal of 144032112 is 211230441.

It is an interprime number because it is at equal distance from previous prime (144032093) and next prime (144032131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 41683 + ... + 45005.

Almost surely, 2144032112 is an apocalyptic number.

144032112 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 144032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235764672).

144032112 is an abundant number, since it is smaller than the sum of its proper divisors (327497232).

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

144032112 is a wasteful number, since it uses less digits than its factorization.

144032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144032112 is about 12001.3379254148. The cubic root of 144032112 is about 524.1872376347.

Adding to 144032112 its reverse (211230441), we get a palindrome (355262553).

The spelling of 144032112 in words is "one hundred forty-four million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1204 1548 1806 2064 2408 2709 3096 3323 3612 4816 5418 6192 6646 7224 9969 10836 13292 14448 19938 21672 23261 26584 29907 39876 43344 46522 53168 59814 69783 79752 93044 119628 139566 142889 159504 186088 209349 239256 279132 285778 372176 418698 428667 478512 558264 571556 837396 857334 1000223 1116528 1143112 1286001 1674792 1714668 2000446 2286224 2572002 3000669 3349584 3429336 4000892 5144004 6001338 6858672 8001784 9002007 10288008 12002676 16003568 18004014 20576016 24005352 36008028 48010704 72016056 144032112