Search a number
-
+
24223034000000 = 2756119711351
BaseRepresentation
bin1011000000111110111010…
…10101100100001010000000
310011202200212212222022220102
411200133131111210022000
511133332233201000000
6123303524100501532
75050025235530003
oct540373525441200
9104680785868812
1024223034000000
117799a27221a40
1228727050aa8a8
1310692b7533324
145da58889b53a
152c016b58e3d5
hex1607dd564280

24223034000000 has 448 divisors, whose sum is σ = 66488167690560. Its totient is φ = 8716800000000.

The previous prime is 24223033999991. The next prime is 24223034000041. The reversal of 24223034000000 is 43032242.

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

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 55 ways as a sum of consecutive naturals, for example, 2133994325 + ... + 2134005675.

It is an arithmetic number, because the mean of its divisors is an integer number (148411088595).

Almost surely, 224223034000000 is an apocalyptic number.

24223034000000 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 24223034000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33244083845280).

24223034000000 is an abundant number, since it is smaller than the sum of its proper divisors (42265133690560).

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

24223034000000 is an frugal number, since it uses more digits than its factorization.

24223034000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11503 (or 11466 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 24223034000000 its reverse (43032242), we get a palindrome (24223077032242).

The spelling of 24223034000000 in words is "twenty-four trillion, two hundred twenty-three billion, thirty-four million", and thus it is an aban number.