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144000909 = 3413136753
BaseRepresentation
bin10001001010101…
…00011110001101
3101000222000010000
420211110132031
5243331012114
622142234513
73365662503
oct1045243615
9330860100
10144000909
1174315018
1240285a39
1323aab450
14151a6673
15c996e09
hex895478d

144000909 has 20 divisors (see below), whose sum is σ = 231661276. Its totient is φ = 88615296.

The previous prime is 144000877. The next prime is 144000911. The reversal of 144000909 is 909000441.

It can be written as a sum of positive squares in 2 ways, for example, as 19053225 + 124947684 = 4365^2 + 11178^2 .

It is not a de Polignac number, because 144000909 - 25 = 144000877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144000919) 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 19 ways as a sum of consecutive naturals, for example, 67324 + ... + 69429.

Almost surely, 2144000909 is an apocalyptic number.

It is an amenable number.

144000909 is a deficient number, since it is larger than the sum of its proper divisors (87660367).

144000909 is a wasteful number, since it uses less digits than its factorization.

144000909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136778 (or 136769 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 144000909 is about 12000.0378749402. The cubic root of 144000909 is about 524.1493817348.

The spelling of 144000909 in words is "one hundred forty-four million, nine hundred nine", and thus it is an aban number.

Divisors: 1 3 9 13 27 39 81 117 351 1053 136753 410259 1230777 1777789 3692331 5333367 11076993 16000101 48000303 144000909