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144648729 = 321922112
BaseRepresentation
bin10001001111100…
…10101000011001
3101002011220202100
420213302220121
5244012224404
622204154013
73404331261
oct1047625031
9332156670
10144648729
1174717805
1240538909
1323c77284
14152d47a1
15ca73d39
hex89f2a19

144648729 has 27 divisors (see below), whose sum is σ = 221562549. Its totient is φ = 90924120.

The previous prime is 144648719. The next prime is 144648731. The reversal of 144648729 is 927846441.

The square root of 144648729 is 12027.

It is a perfect power (a square), and thus also a powerful number.

144648729 is a `hidden beast` number, since 144 + 6 + 487 + 29 = 666.

It is not a de Polignac number, because 144648729 - 27 = 144648601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144648709) 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 26 ways as a sum of consecutive naturals, for example, 685434 + ... + 685644.

Almost surely, 2144648729 is an apocalyptic number.

144648729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

144648729 is the 12027-th square number.

144648729 is the 6014-th centered octagonal number.

It is an amenable number.

144648729 is a deficient number, since it is larger than the sum of its proper divisors (76913820).

144648729 is an equidigital number, since it uses as much as digits as its factorization.

144648729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The cubic root of 144648729 is about 524.9342067211.

The spelling of 144648729 in words is "one hundred forty-four million, six hundred forty-eight thousand, seven hundred twenty-nine".

Divisors: 1 3 9 19 57 171 211 361 633 1083 1899 3249 4009 12027 36081 44521 76171 133563 228513 400689 685539 845899 2537697 7613091 16072081 48216243 144648729