Search a number
-
+
2440000424420 = 2251334332733649
BaseRepresentation
bin100011100000011011010…
…110111100100111100100
322122021001211021022122122
4203200123112330213210
5304434110102040140
65104530513045112
7341166325255166
oct43403326744744
98567054238578
102440000424420
118608866a1089
12334a7b256798
131491250731b0
148614d2d0936
154370b443ab5
hex2381b5bc9e4

2440000424420 has 48 divisors (see below), whose sum is σ = 5519764210800. Its totient is φ = 900660473856.

The previous prime is 2440000424419. The next prime is 2440000424443. The reversal of 2440000424420 is 244240000442.

2440000424420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 35398164736 + 2404602259684 = 188144^2 + 1550678^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2440000424420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474245 + ... + 2259404.

It is an arithmetic number, because the mean of its divisors is an integer number (114995087725).

Almost surely, 22440000424420 is an apocalyptic number.

2440000424420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440000424420 is an abundant number, since it is smaller than the sum of its proper divisors (3079763786380).

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

2440000424420 is a wasteful number, since it uses less digits than its factorization.

2440000424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737104 (or 2737102 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2440000424420 its reverse (244240000442), we get a palindrome (2684240424862).

The spelling of 2440000424420 in words is "two trillion, four hundred forty billion, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 3433 6866 13732 17165 34330 44629 68660 89258 178516 223145 446290 892580 2733649 5467298 10934596 13668245 27336490 35537437 54672980 71074874 142149748 177687185 355374370 710748740 9384617017 18769234034 37538468068 46923085085 93846170170 122000021221 187692340340 244000042442 488000084884 610000106105 1220000212210 2440000424420