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144096017 = 1341409661
BaseRepresentation
bin10001001011010…
…11101100010001
3101001010211120112
420211223230101
5243342033032
622144251105
73366540002
oct1045535421
9331124515
10144096017
117437a51a
1240310a95
1323b12820
14151cd1a9
15c9b51b2
hex896bb11

144096017 has 16 divisors (see below), whose sum is σ = 159594960. Its totient is φ = 129254400.

The previous prime is 144096011. The next prime is 144096049. The reversal of 144096017 is 710690441.

It is a Cunningham number, because it is equal to 120042+1.

It can be written as a sum of positive squares in 8 ways, for example, as 839056 + 143256961 = 916^2 + 11969^2 .

It is a cyclic number.

It is not a de Polignac number, because 144096017 - 26 = 144095953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144096011) 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 15 ways as a sum of consecutive naturals, for example, 217667 + ... + 218327.

It is an arithmetic number, because the mean of its divisors is an integer number (9974685).

Almost surely, 2144096017 is an apocalyptic number.

It is an amenable number.

144096017 is a deficient number, since it is larger than the sum of its proper divisors (15498943).

144096017 is a wasteful number, since it uses less digits than its factorization.

144096017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 144096017 is about 12004.0000416528. Note that the first 4 decimals coincide. The cubic root of 144096017 is about 524.2647509798.

The spelling of 144096017 in words is "one hundred forty-four million, ninety-six thousand, seventeen".

Divisors: 1 13 41 409 533 661 5317 8593 16769 27101 217997 270349 352313 3514537 11084309 144096017