Search a number
-
+
12024640431 = 3549484117
BaseRepresentation
bin10110011001011100…
…10111001110101111
31011001000111000200000
423030232113032233
5144111301443211
65305105435343
7603660520506
oct131456271657
934030430600
1012024640431
115110661371
1223b703bb53
1311982b116b
14820dd383d
154a59db656
hex2ccb973af

12024640431 has 12 divisors (see below), whose sum is σ = 18012218952. Its totient is φ = 8016426792.

The previous prime is 12024640363. The next prime is 12024640469. The reversal of 12024640431 is 13404642021.

It is a happy number.

12024640431 is a `hidden beast` number, since 12 + 0 + 2 + 4 + 640 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 12024640431 - 29 = 12024639919 is a prime.

It is a super-2 number, since 2×120246404312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12024640395 and 12024640404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12024640031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24741816 + ... + 24742301.

It is an arithmetic number, because the mean of its divisors is an integer number (1501018246).

Almost surely, 212024640431 is an apocalyptic number.

12024640431 is a deficient number, since it is larger than the sum of its proper divisors (5987578521).

12024640431 is an frugal number, since it uses more digits than its factorization.

12024640431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49484132 (or 49484120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 12024640431 in words is "twelve billion, twenty-four million, six hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 243 49484117 148452351 445357053 1336071159 4008213477 12024640431