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144400301 = 2293891621
BaseRepresentation
bin10001001101101…
…01111110101101
3101001201021222022
420212311332231
5243431302201
622154555525
73402245063
oct1046657655
9331637868
10144400301
11745680a1
1240438ba5
1323bbb186
141526c033
15ca2541b
hex89b5fad

144400301 has 8 divisors (see below), whose sum is σ = 145493400. Its totient is φ = 143311680.

The previous prime is 144400273. The next prime is 144400337. The reversal of 144400301 is 103004441.

It can be written as a sum of positive squares in 4 ways, for example, as 53655625 + 90744676 = 7325^2 + 9526^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 144400301 - 214 = 144383917 is a prime.

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 144400301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144400001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 88271 + ... + 89891.

It is an arithmetic number, because the mean of its divisors is an integer number (18186675).

Almost surely, 2144400301 is an apocalyptic number.

It is an amenable number.

144400301 is a deficient number, since it is larger than the sum of its proper divisors (1093099).

144400301 is a wasteful number, since it uses less digits than its factorization.

144400301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 144400301 is about 12016.6676329172. The cubic root of 144400301 is about 524.6335171719.

Adding to 144400301 its reverse (103004441), we get a palindrome (247404742).

The spelling of 144400301 in words is "one hundred forty-four million, four hundred thousand, three hundred one".

Divisors: 1 229 389 1621 89081 371209 630569 144400301