Search a number
-
+
2406842103040 = 28519231168023
BaseRepresentation
bin100011000001100010111…
…101111111010100000000
322112002110222001001211121
4203001202331333110000
5303413203034244130
65041404335122024
7335613535215244
oct43014275772400
98462428031747
102406842103040
118488106914a1
1232a566673314
13145c6c57319b
14846c562a424
154291a400d7a
hex23062f7f500

2406842103040 has 216 divisors, whose sum is σ = 6280850032128. Its totient is φ = 882639728640.

The previous prime is 2406842103037. The next prime is 2406842103049. The reversal of 2406842103040 is 403012486042.

It is a junction number, because it is equal to n+sod(n) for n = 2406842102987 and 2406842103005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406842103049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14240469 + ... + 14408491.

It is an arithmetic number, because the mean of its divisors is an integer number (29078009408).

Almost surely, 22406842103040 is an apocalyptic number.

2406842103040 is a gapful number since it is divisible by the number (20) 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 2406842103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140425016064).

2406842103040 is an abundant number, since it is smaller than the sum of its proper divisors (3874007929088).

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

2406842103040 is a wasteful number, since it uses less digits than its factorization.

2406842103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168113 (or 168080 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 2406842103040 its reverse (403012486042), we get a palindrome (2809854589082).

The spelling of 2406842103040 in words is "two trillion, four hundred six billion, eight hundred forty-two million, one hundred three thousand, forty".