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144036192 = 2535328309
BaseRepresentation
bin10001001010111…
…01000101100000
3101001000210111210
420211131011200
5243333124232
622143110120
73366200406
oct1045350540
9331023453
10144036192
1174339583
12402a2340
1323ac1521
14151b5476
15c9a25cc
hex895d160

144036192 has 48 divisors (see below), whose sum is σ = 385242480. Its totient is φ = 47104512.

The previous prime is 144036149. The next prime is 144036251. The reversal of 144036192 is 291630441.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 9067 + ... + 19242.

It is an arithmetic number, because the mean of its divisors is an integer number (8025885).

Almost surely, 2144036192 is an apocalyptic number.

144036192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144036192 is an abundant number, since it is smaller than the sum of its proper divisors (241206288).

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

144036192 is a wasteful number, since it uses less digits than its factorization.

144036192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28375 (or 28367 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 144036192 is about 12001.5079052592. The cubic root of 144036192 is about 524.1921871415.

The spelling of 144036192 in words is "one hundred forty-four million, thirty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 28309 56618 84927 113236 169854 226472 339708 452944 679416 905888 1358832 1500377 2717664 3000754 4501131 6001508 9002262 12003016 18004524 24006032 36009048 48012064 72018096 144036192