Search a number
-
+
144713416257 = 3216079268473
BaseRepresentation
bin1000011011000110010…
…1110111111001000001
3111211112022211020022200
42012301211313321001
54332333113310012
6150251434423413
713312063512444
oct2066145677101
9454468736280
10144713416257
1156410a50583
1224068291b69
131085323c5b7
14700b60d65b
153b6e9193dc
hex21b1977e41

144713416257 has 6 divisors (see below), whose sum is σ = 209030490162. Its totient is φ = 96475610832.

The previous prime is 144713416247. The next prime is 144713416291. The reversal of 144713416257 is 752614317441.

144713416257 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 13 + 4 + 1 + 625 + 7 = 666.

144713416257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 143719842816 + 993573441 = 379104^2 + 31521^2 .

It is not a de Polignac number, because 144713416257 - 27 = 144713416129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144713416247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8039634228 + ... + 8039634245.

It is an arithmetic number, because the mean of its divisors is an integer number (34838415027).

Almost surely, 2144713416257 is an apocalyptic number.

It is an amenable number.

144713416257 is a deficient number, since it is larger than the sum of its proper divisors (64317073905).

144713416257 is a wasteful number, since it uses less digits than its factorization.

144713416257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16079268479 (or 16079268476 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 144713416257 in words is "one hundred forty-four billion, seven hundred thirteen million, four hundred sixteen thousand, two hundred fifty-seven".

Divisors: 1 3 9 16079268473 48237805419 144713416257