Search a number
-
+
7130144274289 = 292920772
BaseRepresentation
bin110011111000001110110…
…1101110111011101110001
3221020122011000101010010021
41213300131231313131301
51413310013413234124
623055313145003441
71334064423226261
oct147603555673561
927218130333107
107130144274289
1122a9971618923
12971a52a83581
133c94a6375b5a
141a915a9397a1
15c57110607e4
hex67c1db77771

7130144274289 has 9 divisors (see below), whose sum is σ = 7384569692097. Its totient is φ = 6884202463824.

The previous prime is 7130144274283. The next prime is 7130144274353. The reversal of 7130144274289 is 9824724410317.

It is a happy number.

The square root of 7130144274289 is 2670233.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 386815583025 + 6743328691264 = 621945^2 + 2596792^2 .

It is not a de Polignac number, because 7130144274289 - 27 = 7130144274161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7130144274283) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77390719 + ... + 77482795.

Almost surely, 27130144274289 is an apocalyptic number.

7130144274289 is the 2670233-rd square number.

7130144274289 is the 1335117-th centered octagonal number.

It is an amenable number.

7130144274289 is a deficient number, since it is larger than the sum of its proper divisors (254425417808).

7130144274289 is an frugal number, since it uses more digits than its factorization.

7130144274289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184212 (or 92106 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 7130144274289 in words is "seven trillion, one hundred thirty billion, one hundred forty-four million, two hundred seventy-four thousand, two hundred eighty-nine".

Divisors: 1 29 841 92077 2670233 77436757 8478173929 245867043941 7130144274289