Search a number
-
+
144414801 = 3219244449
BaseRepresentation
bin10001001101110…
…01100001010001
3101001202000212100
420212321201101
5243432233201
622155151013
73402335256
oct1046714121
9331660770
10144414801
1174577a83
1240445469
1323bc495b
141527342d
15ca29886
hex89b9851

144414801 has 18 divisors (see below), whose sum is σ = 220160850. Its totient is φ = 91207296.

The previous prime is 144414799. The next prime is 144414817. The reversal of 144414801 is 108414441.

144414801 is a `hidden beast` number, since 144 + 41 + 480 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139216401 + 5198400 = 11799^2 + 2280^2 .

It is not a de Polignac number, because 144414801 - 21 = 144414799 is a prime.

144414801 is a modest number, since divided by 14801 gives 1444 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144414841) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18976 + ... + 25473.

Almost surely, 2144414801 is an apocalyptic number.

It is an amenable number.

144414801 is a deficient number, since it is larger than the sum of its proper divisors (75746049).

144414801 is a wasteful number, since it uses less digits than its factorization.

144414801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44493 (or 44471 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 144414801 is about 12017.2709464337. The cubic root of 144414801 is about 524.6510769954.

The spelling of 144414801 in words is "one hundred forty-four million, four hundred fourteen thousand, eight hundred one".

Divisors: 1 3 9 19 57 171 361 1083 3249 44449 133347 400041 844531 2533593 7600779 16046089 48138267 144414801