Search a number
-
+
12141135424 = 261197117761
BaseRepresentation
bin10110100111010101…
…10000011001000000
31011100010200120202101
423103222300121000
5144331112313144
65324430400144
7606603643165
oct132352603100
934303616671
1012141135424
115170399820
12242a060054
1311b647b902
1483267a06c
154b0d4d6d4
hex2d3ab0640

12141135424 has 56 divisors (see below), whose sum is σ = 26311347936. Its totient is φ = 5512704000.

The previous prime is 12141135421. The next prime is 12141135437. The reversal of 12141135424 is 42453114121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12141135392 and 12141135401.

It is not an unprimeable number, because it can be changed into a prime (12141135421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 674704 + ... + 692464.

Almost surely, 212141135424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155673968).

12141135424 is an abundant number, since it is smaller than the sum of its proper divisors (14170212512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12141135424 is a wasteful number, since it uses less digits than its factorization.

12141135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18755 (or 18745 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

Adding to 12141135424 its reverse (42453114121), we get a palindrome (54594249545).

The spelling of 12141135424 in words is "twelve billion, one hundred forty-one million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 971 1942 3884 7768 10681 15536 17761 21362 31072 35522 42724 62144 71044 85448 142088 170896 195371 284176 341792 390742 568352 683584 781484 1136704 1562968 3125936 6251872 12503744 17245931 34491862 68983724 137967448 189705241 275934896 379410482 551869792 758820964 1103739584 1517641928 3035283856 6070567712 12141135424