Search a number
-
+
1244678011137 = 321143292383841
BaseRepresentation
bin10010000111001100100…
…101110011100100000001
311101222201202021020100200
4102013030211303210001
5130343100032324022
62351444105235413
7155632165350201
oct22071445634401
94358652236320
101244678011137
1143a95731a140
12181288192b69
13904ac89c5a2
14443580dc401
152259c224bac
hex121cc973901

1244678011137 has 24 divisors (see below), whose sum is σ = 2006922691488. Its totient is φ = 736807276800.

The previous prime is 1244678011103. The next prime is 1244678011153. The reversal of 1244678011137 is 7311108764421.

1244678011137 is a `hidden beast` number, since 1 + 2 + 446 + 78 + 0 + 1 + 1 + 137 = 666.

It is not a de Polignac number, because 1244678011137 - 27 = 1244678011009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1244678011092 and 1244678011101.

It is not an unprimeable number, because it can be changed into a prime (1244678011037) 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 23 ways as a sum of consecutive naturals, for example, 146187664 + ... + 146196177.

It is an arithmetic number, because the mean of its divisors is an integer number (83621778812).

Almost surely, 21244678011137 is an apocalyptic number.

It is an amenable number.

1244678011137 is a deficient number, since it is larger than the sum of its proper divisors (762244680351).

1244678011137 is a wasteful number, since it uses less digits than its factorization.

1244678011137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292383901 (or 292383898 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1244678011137 in words is "one trillion, two hundred forty-four billion, six hundred seventy-eight million, eleven thousand, one hundred thirty-seven".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 4257 292383841 877151523 2631454569 3216222251 9648666753 12572505163 28946000259 37717515489 113152546467 138297556793 414892670379 1244678011137