Search a number
-
+
2400404022456 = 2331121414246819
BaseRepresentation
bin100010111011100011001…
…110101010010010111000
322111110212021122200120120
4202323203032222102320
5303312011412204311
65034421432453240
7335265151353066
oct42734316522270
98443767580516
102400404022456
11846007546240
1232926a54a220
131454847c1b4b
1484274583036
15426900d1706
hex22ee33aa4b8

2400404022456 has 64 divisors (see below), whose sum is σ = 6549615676800. Its totient is φ = 727055241600.

The previous prime is 2400404022431. The next prime is 2400404022461. The reversal of 2400404022456 is 6542204040042.

2400404022456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 1558186 + ... + 2688633.

It is an arithmetic number, because the mean of its divisors is an integer number (102337744950).

Almost surely, 22400404022456 is an apocalyptic number.

It is an amenable number.

2400404022456 is an abundant number, since it is smaller than the sum of its proper divisors (4149211654344).

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

2400404022456 is a wasteful number, since it uses less digits than its factorization.

2400404022456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248980 (or 4248976 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 2400404022456 its reverse (6542204040042), we get a palindrome (8942608062498).

The spelling of 2400404022456 in words is "two trillion, four hundred billion, four hundred four million, twenty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2141 4282 6423 8564 12846 17128 23551 25692 47102 51384 70653 94204 141306 188408 282612 565224 4246819 8493638 12740457 16987276 25480914 33974552 46715009 50961828 93430018 101923656 140145027 186860036 280290054 373720072 560580108 1121160216 9092439479 18184878958 27277318437 36369757916 54554636874 72739515832 100016834269 109109273748 200033668538 218218547496 300050502807 400067337076 600101005614 800134674152 1200202011228 2400404022456