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12424301340 = 22351141538663
BaseRepresentation
bin10111001001000101…
…11100101100011100
31012001212111220100220
423210202330230130
5200421110120330
65412503521340
7616612550613
oct134442745434
935055456326
1012424301340
1152a6215540
1224a8a59250
1312300342c9
1485c10a87a
154cab34710
hex2e48bcb1c

12424301340 has 192 divisors, whose sum is σ = 39614303232. Its totient is φ = 2882713600.

The previous prime is 12424301333. The next prime is 12424301389. The reversal of 12424301340 is 4310342421.

12424301340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12424301340.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1429849 + ... + 1438511.

It is an arithmetic number, because the mean of its divisors is an integer number (206324496).

Almost surely, 212424301340 is an apocalyptic number.

12424301340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12424301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19807151616).

12424301340 is an abundant number, since it is smaller than the sum of its proper divisors (27190001892).

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

12424301340 is a wasteful number, since it uses less digits than its factorization.

12424301340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8778 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12424301340 its reverse (4310342421), we get a palindrome (16734643761).

The spelling of 12424301340 in words is "twelve billion, four hundred twenty-four million, three hundred one thousand, three hundred forty".