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144948309 = 31159109683
BaseRepresentation
bin10001010001110…
…11110001010101
3101002202010200220
420220323301111
5244101321214
622214424553
73410016552
oct1050736125
9332663626
10144948309
11749018a0
1240662159
132405073c
1415371a29
15cad29a9
hex8a3bc55

144948309 has 32 divisors (see below), whose sum is σ = 216691200. Its totient is φ = 85440960.

The previous prime is 144948247. The next prime is 144948367. The reversal of 144948309 is 903849441.

144948309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144948309 - 28 = 144948053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144948389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211882 + ... + 212564.

It is an arithmetic number, because the mean of its divisors is an integer number (6771600).

Almost surely, 2144948309 is an apocalyptic number.

It is an amenable number.

144948309 is a deficient number, since it is larger than the sum of its proper divisors (71742891).

144948309 is a wasteful number, since it uses less digits than its factorization.

144948309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 144948309 is about 12039.4480355206. The cubic root of 144948309 is about 525.2963515052.

The spelling of 144948309 in words is "one hundred forty-four million, nine hundred forty-eight thousand, three hundred nine".

Divisors: 1 3 11 33 59 109 177 327 649 683 1199 1947 2049 3597 6431 7513 19293 22539 40297 70741 74447 120891 212223 223341 443267 818917 1329801 2456751 4392373 13177119 48316103 144948309