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144768312 = 233213154667
BaseRepresentation
bin10001010000011…
…11110100111000
3101002101222210100
420220033310320
5244030041222
622210515400
73405340023
oct1050176470
9332358710
10144768312
1174799637
1240595b60
1323cb9830
14153261ba
15ca994ac
hex8a0fd38

144768312 has 48 divisors (see below), whose sum is σ = 422243640. Its totient is φ = 44543808.

The previous prime is 144768301. The next prime is 144768313. The reversal of 144768312 is 213867441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144768313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76398 + ... + 78269.

Almost surely, 2144768312 is an apocalyptic number.

144768312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144768312 is an abundant number, since it is smaller than the sum of its proper divisors (277475328).

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

144768312 is a wasteful number, since it uses less digits than its factorization.

144768312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154692 (or 154685 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 144768312 is about 12031.9704121977. The cubic root of 144768312 is about 525.0788235390.

The spelling of 144768312 in words is "one hundred forty-four million, seven hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 154667 309334 464001 618668 928002 1237336 1392003 1856004 2010671 2784006 3712008 4021342 5568012 6032013 8042684 11136024 12064026 16085368 18096039 24128052 36192078 48256104 72384156 144768312