Search a number
-
+
412325310384 = 24331322331892
BaseRepresentation
bin1100000000000001000…
…00001110111110110000
31110102021122211000022000
412000000200032332300
523223420234413014
6513230350214000
741534543211351
oct6000040167660
91412248730260
10412325310384
11149958985529
1267ab2ab4300
132cb60cc3200
1415d570a1d28
15aad39c7509
hex600080efb0

412325310384 has 720 divisors, whose sum is σ = 1396113500160. Its totient is φ = 116119111680.

The previous prime is 412325310377. The next prime is 412325310389. The reversal of 412325310384 is 483013523214.

412325310384 is a `hidden beast` number, since 4 + 1 + 23 + 253 + 1 + 0 + 384 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412325310389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4632868612 + ... + 4632868700.

It is an arithmetic number, because the mean of its divisors is an integer number (1939046528).

Almost surely, 2412325310384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412325310384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698056750080).

412325310384 is an abundant number, since it is smaller than the sum of its proper divisors (983788189776).

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

412325310384 is a wasteful number, since it uses less digits than its factorization.

412325310384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 412325310384 its reverse (483013523214), we get a palindrome (895338833598).

The spelling of 412325310384 in words is "four hundred twelve billion, three hundred twenty-five million, three hundred ten thousand, three hundred eighty-four".