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144314261 = 7213226553
BaseRepresentation
bin10001001101000…
…00111110010101
3101001112220221122
420212200332111
5243421024021
622153053325
73401436200
oct1046407625
9331486848
10144314261
1174509493
12403b7245
1323b8ac70
1415248937
15ca09bab
hex89a0f95

144314261 has 12 divisors (see below), whose sum is σ = 180790092. Its totient is φ = 114182208.

The previous prime is 144314257. The next prime is 144314267. The reversal of 144314261 is 162413441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72573361 + 71740900 = 8519^2 + 8470^2 .

It is not a de Polignac number, because 144314261 - 22 = 144314257 is a prime.

It is a super-2 number, since 2×1443142612 = 41653211855952242, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144314261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144314267) 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 11 ways as a sum of consecutive naturals, for example, 112640 + ... + 113913.

It is an arithmetic number, because the mean of its divisors is an integer number (15065841).

Almost surely, 2144314261 is an apocalyptic number.

It is an amenable number.

144314261 is a deficient number, since it is larger than the sum of its proper divisors (36475831).

144314261 is a wasteful number, since it uses less digits than its factorization.

144314261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226580 (or 226573 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 144314261 is about 12013.0870720227. The cubic root of 144314261 is about 524.5292966224.

The spelling of 144314261 in words is "one hundred forty-four million, three hundred fourteen thousand, two hundred sixty-one".

Divisors: 1 7 13 49 91 637 226553 1585871 2945189 11101097 20616323 144314261