Search a number
-
+
23141104000 = 275371071931
BaseRepresentation
bin10101100011010100…
…010011100110000000
32012201202001212212221
4111203110103212000
5334343110312000
614344134100424
71446313065340
oct254324234600
965652055787
1023141104000
1198a5605a43
124599aaa714
13224a394b61
14119753cd20
159068d361a
hex563513980

23141104000 has 256 divisors, whose sum is σ = 66402685440. Its totient is φ = 7855872000.

The previous prime is 23141103983. The next prime is 23141104009. The reversal of 23141104000 is 40114132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23141104009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11983035 + ... + 11984965.

It is an arithmetic number, because the mean of its divisors is an integer number (259385490).

Almost surely, 223141104000 is an apocalyptic number.

23141104000 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 23141104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33201342720).

23141104000 is an abundant number, since it is smaller than the sum of its proper divisors (43261581440).

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

23141104000 is a wasteful number, since it uses less digits than its factorization.

23141104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 23141104000 its reverse (40114132), we get a palindrome (23181218132).

The spelling of 23141104000 in words is "twenty-three billion, one hundred forty-one million, one hundred four thousand".