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144504329 = 192613653
BaseRepresentation
bin10001001110011…
…11011000001001
3101001220120200012
420213033120021
5243443114304
622201121305
73403160264
oct1047173011
9331816605
10144504329
1174629272
1240489235
1323c26628
1415297cdb
15ca4616e
hex89cf609

144504329 has 12 divisors (see below), whose sum is σ = 152992836. Its totient is φ = 136466208.

The previous prime is 144504307. The next prime is 144504391. The reversal of 144504329 is 923405441.

It can be written as a sum of positive squares in 2 ways, for example, as 11055625 + 133448704 = 3325^2 + 11552^2 .

It is not a de Polignac number, because 144504329 - 216 = 144438793 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144504295 and 144504304.

It is not an unprimeable number, because it can be changed into a prime (144504229) 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, 220967 + ... + 221619.

It is an arithmetic number, because the mean of its divisors is an integer number (12749403).

Almost surely, 2144504329 is an apocalyptic number.

144504329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

144504329 is a deficient number, since it is larger than the sum of its proper divisors (8488507).

144504329 is an equidigital number, since it uses as much as digits as its factorization.

144504329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 144504329 is about 12020.9953414848. The cubic root of 144504329 is about 524.7594713758.

The spelling of 144504329 in words is "one hundred forty-four million, five hundred four thousand, three hundred twenty-nine".

Divisors: 1 19 361 613 653 11647 12407 221293 235733 400289 7605491 144504329