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144392417 = 1321137561
BaseRepresentation
bin10001001101101…
…00000011100001
3101001200220011022
420212310003201
5243431024132
622154455225
73402213101
oct1046640341
9331626138
10144392417
1174562184
1240434515
1323bb7700
1415269201
15ca22e12
hex89b40e1

144392417 has 12 divisors (see below), whose sum is σ = 157758444. Its totient is φ = 132088320.

The previous prime is 144392401. The next prime is 144392431. The reversal of 144392417 is 714293441.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 82156096 + 62236321 = 9064^2 + 7889^2 .

It is not a de Polignac number, because 144392417 - 24 = 144392401 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144392477) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15317 + ... + 22877.

It is an arithmetic number, because the mean of its divisors is an integer number (13146537).

Almost surely, 2144392417 is an apocalyptic number.

It is an amenable number.

144392417 is a deficient number, since it is larger than the sum of its proper divisors (13366027).

144392417 is a wasteful number, since it uses less digits than its factorization.

144392417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700 (or 7687 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 144392417 is about 12016.3395840830. The cubic root of 144392417 is about 524.6239689787.

The spelling of 144392417 in words is "one hundred forty-four million, three hundred ninety-two thousand, four hundred seventeen".

Divisors: 1 13 113 169 1469 7561 19097 98293 854393 1277809 11107109 144392417