Search a number
-
+
423421040000 = 275471779563
BaseRepresentation
bin1100010100101011101…
…11000101010110000000
31111110220221101110212202
412022111313011112000
523414131241240000
6522303354212332
742406524312320
oct6122567052600
91443827343782
10423421040000
11153632158402
126a08aa240a8
1330c0b9c76aa
14166ca971280
15b032b75dd5
hex6295dc5580

423421040000 has 640 divisors, whose sum is σ = 1293965798400. Its totient is φ = 134664192000.

The previous prime is 423421039991. The next prime is 423421040027. The reversal of 423421040000 is 40124324.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4234210400002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 752079719 + ... + 752080281.

It is an arithmetic number, because the mean of its divisors is an integer number (2021821560).

Almost surely, 2423421040000 is an apocalyptic number.

423421040000 is a gapful number since it is divisible by the number (40) 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 423421040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646982899200).

423421040000 is an abundant number, since it is smaller than the sum of its proper divisors (870544758400).

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

423421040000 is an equidigital number, since it uses as much as digits as its factorization.

423421040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 423421040000 its reverse (40124324), we get a palindrome (423461164324).

The spelling of 423421040000 in words is "four hundred twenty-three billion, four hundred twenty-one million, forty thousand".