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144015345 = 32519179941
BaseRepresentation
bin10001001010101…
…11111111110001
3101000222201220200
420211113333301
5243331442340
622142425413
73366052545
oct1045277761
9330881820
10144015345
1174324951
1240292269
1323ab4ba6
14151aba25
15c99b330
hex8957ff1

144015345 has 48 divisors (see below), whose sum is σ = 264513600. Its totient is φ = 72282240.

The previous prime is 144015317. The next prime is 144015353. The reversal of 144015345 is 543510441.

It is a happy number.

It is not a de Polignac number, because 144015345 - 27 = 144015217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152575 + ... + 153515.

It is an arithmetic number, because the mean of its divisors is an integer number (5510700).

Almost surely, 2144015345 is an apocalyptic number.

144015345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144015345 is a deficient number, since it is larger than the sum of its proper divisors (120498255).

144015345 is a wasteful number, since it uses less digits than its factorization.

144015345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 144015345 is about 12000.6393579676. The cubic root of 144015345 is about 524.1668963641.

Adding to 144015345 its reverse (543510441), we get a palindrome (687525786).

The spelling of 144015345 in words is "one hundred forty-four million, fifteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 179 285 537 855 895 941 1611 2685 2823 3401 4705 8055 8469 10203 14115 17005 17879 30609 42345 51015 53637 89395 153045 160911 168439 268185 505317 804555 842195 1515951 2526585 3200341 7579755 9601023 16001705 28803069 48005115 144015345