Search a number
-
+
144937593 = 36198817
BaseRepresentation
bin10001010001110…
…01001001111001
3101002201121000000
420220321021321
5244101000333
622214303213
73406643403
oct1050711171
9332647000
10144937593
11748a4839
1240657b09
13240488b8
141536bb73
15cace713
hex8a39279

144937593 has 14 divisors (see below), whose sum is σ = 217308074. Its totient is φ = 96624576.

The previous prime is 144937589. The next prime is 144937603. The reversal of 144937593 is 395739441.

144937593 is a `hidden beast` number, since 1 + 4 + 493 + 75 + 93 = 666.

It can be written as a sum of positive squares in only one way, i.e., 143712144 + 1225449 = 11988^2 + 1107^2 .

It is not a de Polignac number, because 144937593 - 22 = 144937589 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144937523) 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 13 ways as a sum of consecutive naturals, for example, 98680 + ... + 100137.

Almost surely, 2144937593 is an apocalyptic number.

It is an amenable number.

144937593 is a deficient number, since it is larger than the sum of its proper divisors (72370481).

144937593 is an frugal number, since it uses more digits than its factorization.

144937593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198835 (or 198820 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 144937593 is about 12039.0029902812. The cubic root of 144937593 is about 525.2834061675.

It can be divided in two parts, 144937 and 593, that added together give a triangular number (145530 = T539).

The spelling of 144937593 in words is "one hundred forty-four million, nine hundred thirty-seven thousand, five hundred ninety-three".

Divisors: 1 3 9 27 81 243 729 198817 596451 1789353 5368059 16104177 48312531 144937593