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144657457 = 7237731093
BaseRepresentation
bin10001001111101…
…00110000110001
3101002012100201121
420213310300301
5244013014312
622204302241
73404365600
oct1047646061
9332170647
10144657457
117472331a
1240541981
1323c7b239
14152d7a37
15ca76707
hex89f4c31

144657457 has 24 divisors (see below), whose sum is σ = 175350696. Its totient is φ = 118879488.

The previous prime is 144657451. The next prime is 144657467. The reversal of 144657457 is 754756441.

It can be written as a sum of positive squares in 4 ways, for example, as 100620961 + 44036496 = 10031^2 + 6636^2 .

It is not a de Polignac number, because 144657457 - 219 = 144133169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144657451) 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 23 ways as a sum of consecutive naturals, for example, 131803 + ... + 132895.

It is an arithmetic number, because the mean of its divisors is an integer number (7306279).

Almost surely, 2144657457 is an apocalyptic number.

It is an amenable number.

144657457 is a deficient number, since it is larger than the sum of its proper divisors (30693239).

144657457 is a wasteful number, since it uses less digits than its factorization.

144657457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1210 counting only the distinct ones).

The product of its digits is 470400, while the sum is 43.

The square root of 144657457 is about 12027.3628447802. The cubic root of 144657457 is about 524.9447645592.

The spelling of 144657457 in words is "one hundred forty-four million, six hundred fifty-seven thousand, four hundred fifty-seven".

Divisors: 1 7 37 49 73 259 511 1093 1813 2701 3577 7651 18907 40441 53557 79789 132349 283087 558523 1981609 2952193 3909661 20665351 144657457