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144525105 = 3253211669
BaseRepresentation
bin10001001110101…
…00011100110001
3101001221122011200
420213110130301
5243444300410
622201401413
73403304664
oct1047243461
9331848150
10144525105
117464293a
1240499269
1323c32c1a
14152a16db
15ca4c3c0
hex89d4731

144525105 has 12 divisors (see below), whose sum is σ = 250510260. Its totient is φ = 77080032.

The previous prime is 144525089. The next prime is 144525149. The reversal of 144525105 is 501525441.

144525105 is a `hidden beast` number, since 144 + 5 + 2 + 510 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109809441 + 34715664 = 10479^2 + 5892^2 .

It is not a de Polignac number, because 144525105 - 24 = 144525089 is a prime.

It is a super-2 number, since 2×1445251052 = 41775011950522050, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1605790 + ... + 1605879.

It is an arithmetic number, because the mean of its divisors is an integer number (20875855).

Almost surely, 2144525105 is an apocalyptic number.

144525105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144525105 is a deficient number, since it is larger than the sum of its proper divisors (105985155).

144525105 is a wasteful number, since it uses less digits than its factorization.

144525105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211680 (or 3211677 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 144525105 is about 12021.8594651576. The cubic root of 144525105 is about 524.7846191352.

The spelling of 144525105 in words is "one hundred forty-four million, five hundred twenty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 45 3211669 9635007 16058345 28905021 48175035 144525105