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144384657 = 3418091451
BaseRepresentation
bin10001001101100…
…10001010010001
3101001200111111220
420212302022101
5243430302112
622154355253
73402151344
oct1046621221
9331614456
10144384657
117455736a
124042bb29
1323bb4011
141526645b
15ca2098c
hex89b2291

144384657 has 16 divisors (see below), whose sum is σ = 197588160. Its totient is φ = 93728000.

The previous prime is 144384637. The next prime is 144384659. The reversal of 144384657 is 756483441.

It is a cyclic number.

It is not a de Polignac number, because 144384657 - 27 = 144384529 is a prime.

It is a super-4 number, since 4×1443846574 (a number of 34 digits) contains 4444 as substring.

Its product of digits (322560) is a multiple of the sum of its prime divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (144384659) 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 15 ways as a sum of consecutive naturals, for example, 98782 + ... + 100232.

It is an arithmetic number, because the mean of its divisors is an integer number (12349260).

Almost surely, 2144384657 is an apocalyptic number.

It is an amenable number.

144384657 is a deficient number, since it is larger than the sum of its proper divisors (53203503).

144384657 is a wasteful number, since it uses less digits than its factorization.

144384657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304.

The product of its digits is 322560, while the sum is 42.

The square root of 144384657 is about 12016.0166860736. The cubic root of 144384657 is about 524.6145706205.

The spelling of 144384657 in words is "one hundred forty-four million, three hundred eighty-four thousand, six hundred fifty-seven".

Divisors: 1 3 41 123 809 1451 2427 4353 33169 59491 99507 178473 1173859 3521577 48128219 144384657