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144396385 = 5721737937
BaseRepresentation
bin10001001101101…
…01000001100001
3101001201002121021
420212311001201
5243431141020
622154525441
73402230500
oct1046650141
9331632537
10144396385
1174565161
1240436881
1323bb9463
141526a837
15ca241aa
hex89b5061

144396385 has 48 divisors (see below), whose sum is σ = 219424464. Its totient is φ = 90574848.

The previous prime is 144396379. The next prime is 144396389. The reversal of 144396385 is 583693441.

It can be written as a sum of positive squares in 8 ways, for example, as 108241 + 144288144 = 329^2 + 12012^2 .

It is not a de Polignac number, because 144396385 - 211 = 144394337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144396389) 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 47 ways as a sum of consecutive naturals, for example, 153637 + ... + 154573.

It is an arithmetic number, because the mean of its divisors is an integer number (4571343).

Almost surely, 2144396385 is an apocalyptic number.

It is an amenable number.

144396385 is a deficient number, since it is larger than the sum of its proper divisors (75028079).

144396385 is a wasteful number, since it uses less digits than its factorization.

144396385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1003 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 144396385 is about 12016.5046914650. The cubic root of 144396385 is about 524.6287746069.

The spelling of 144396385 in words is "one hundred forty-four million, three hundred ninety-six thousand, three hundred eighty-five".

Divisors: 1 5 7 17 35 37 49 85 119 185 245 259 595 629 833 937 1295 1813 3145 4165 4403 4685 6559 9065 15929 22015 30821 32795 34669 45913 79645 111503 154105 173345 229565 242683 557515 589373 780521 1213415 1698781 2946865 3902605 4125611 8493905 20628055 28879277 144396385