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144312169 = 4122932
BaseRepresentation
bin10001001101000…
…00011101101001
3101001112211002011
420212200131221
5243420442134
622153035521
73401430121
oct1046403551
9331484064
10144312169
1174507961
12403b5ba1
1323b8a021
1415247c81
15ca09264
hex89a0769

144312169 has 9 divisors (see below), whose sum is σ = 148424389. Its totient is φ = 140311840.

The previous prime is 144312139. The next prime is 144312191. The reversal of 144312169 is 961213441.

The square root of 144312169 is 12013.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24025 + 144288144 = 155^2 + 12012^2 .

It is a de Polignac number, because none of the positive numbers 2k-144312169 is a prime.

It is a super-2 number, since 2×1443121692 = 41652004242969122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144312169.

It is not an unprimeable number, because it can be changed into a prime (144312139) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 492387 + ... + 492679.

Almost surely, 2144312169 is an apocalyptic number.

144312169 is the 12013-rd square number.

144312169 is the 6007-th centered octagonal number.

It is an amenable number.

144312169 is a deficient number, since it is larger than the sum of its proper divisors (4112220).

144312169 is an frugal number, since it uses more digits than its factorization.

144312169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 334 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The cubic root of 144312169 is about 524.5267620598.

Multiplying 144312169 by its product of digits (5184), we get a square (748114284096 = 8649362).

The spelling of 144312169 in words is "one hundred forty-four million, three hundred twelve thousand, one hundred sixty-nine".

Divisors: 1 41 293 1681 12013 85849 492533 3519809 144312169