Search a number
-
+
2404121123052 = 223611231219797
BaseRepresentation
bin100010111111000000110…
…010010001100011101100
322111211110100000222000000
4202333000302101203230
5303342120001414202
65040234335104300
7335456235242055
oct42770062214354
98454410028000
102404121123052
11847644775a00
12329b27372090
1314592792225c
14845080d572c
154280b5c491c
hex22fc0c918ec

2404121123052 has 252 divisors, whose sum is σ = 7157206663488. Its totient is φ = 705017649600.

The previous prime is 2404121123039. The next prime is 2404121123057. The reversal of 2404121123052 is 2503211214042.

2404121123052 is a `hidden beast` number, since 2 + 4 + 0 + 412 + 11 + 230 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2404121123057) 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 83 ways as a sum of consecutive naturals, for example, 10828018 + ... + 11047814.

It is an arithmetic number, because the mean of its divisors is an integer number (28401613744).

Almost surely, 22404121123052 is an apocalyptic number.

2404121123052 is a gapful number since it is divisible by the number (22) 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 2404121123052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578603331744).

2404121123052 is an abundant number, since it is smaller than the sum of its proper divisors (4753085540436).

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

2404121123052 is a wasteful number, since it uses less digits than its factorization.

2404121123052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219872 (or 219844 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2404121123052 its reverse (2503211214042), we get a palindrome (4907332337094).

The spelling of 2404121123052 in words is "two trillion, four hundred four billion, one hundred twenty-one million, one hundred twenty-three thousand, fifty-two".