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144129465 = 32510213137
BaseRepresentation
bin10001001011100…
…11110110111001
3101001012112110100
420211303312321
5243344120330
622145110013
73400036344
oct1045636671
9331175410
10144129465
11743a2667
1240328309
1323b24b0c
14151db45b
15c9c0060
hex8973db9

144129465 has 24 divisors (see below), whose sum is σ = 250148808. Its totient is φ = 76769280.

The previous prime is 144129463. The next prime is 144129499. The reversal of 144129465 is 564921441.

It can be written as a sum of positive squares in 4 ways, for example, as 65221776 + 78907689 = 8076^2 + 8883^2 .

It is not a de Polignac number, because 144129465 - 21 = 144129463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144129463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44377 + ... + 47513.

It is an arithmetic number, because the mean of its divisors is an integer number (10422867).

Almost surely, 2144129465 is an apocalyptic number.

144129465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144129465 is a deficient number, since it is larger than the sum of its proper divisors (106019343).

144129465 is a wasteful number, since it uses less digits than its factorization.

144129465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4166 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 144129465 is about 12005.3931630747. The cubic root of 144129465 is about 524.3053124775.

The spelling of 144129465 in words is "one hundred forty-four million, one hundred twenty-nine thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 1021 3063 3137 5105 9189 9411 15315 15685 28233 45945 47055 141165 3202877 9608631 16014385 28825893 48043155 144129465