Search a number
-
+
12240543744 = 21335111343
BaseRepresentation
bin10110110011001011…
…11110000000000000
31011121001202001100000
423121211332000000
5200032034344434
65342341200000
7612221622312
oct133145760000
934531661300
1012240543744
115211516760
122457400000
131200c45cc0
148419557b2
154b9937b99
hex2d997e000

12240543744 has 672 divisors, whose sum is σ = 44081541504. Its totient is φ = 3344302080.

The previous prime is 12240543703. The next prime is 12240543767. The reversal of 12240543744 is 44734504221.

12240543744 is a `hidden beast` number, since 1 + 2 + 2 + 40 + 543 + 74 + 4 = 666.

It is a super-2 number, since 2×122405437442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12240543699 and 12240543708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284663787 + ... + 284663829.

It is an arithmetic number, because the mean of its divisors is an integer number (65597532).

Almost surely, 212240543744 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 12240543744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22040770752).

12240543744 is an abundant number, since it is smaller than the sum of its proper divisors (31840997760).

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

12240543744 is an equidigital number, since it uses as much as digits as its factorization.

12240543744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 12240543744 in words is "twelve billion, two hundred forty million, five hundred forty-three thousand, seven hundred forty-four".