Search a number
-
+
2413404322560 = 2833572112343131
BaseRepresentation
bin100011000111101010000…
…110110111101100000000
322112201102022000100201000
4203013222012313230000
5304020123001310220
65044411434212000
7336235260160500
oct43075206675400
98481368010630
102413404322560
11850578906110
1232b898284000
13146776c6a30a
1484b48d89a00
1542ba1592390
hex231ea1b7b00

2413404322560 has 3456 divisors, whose sum is σ = 11693003857920. Its totient is φ = 464950886400.

The previous prime is 2413404322547. The next prime is 2413404322591. The reversal of 2413404322560 is 652234043142.

2413404322560 is a `hidden beast` number, since 2 + 4 + 1 + 34 + 0 + 43 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 18422933695 + ... + 18422933825.

It is an arithmetic number, because the mean of its divisors is an integer number (3383392320).

Almost surely, 22413404322560 is an apocalyptic number.

2413404322560 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 2413404322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846501928960).

2413404322560 is an abundant number, since it is smaller than the sum of its proper divisors (9279599535360).

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

2413404322560 is a wasteful number, since it uses less digits than its factorization.

2413404322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 2413404322560 in words is "two trillion, four hundred thirteen billion, four hundred four million, three hundred twenty-two thousand, five hundred sixty".