Search a number
-
+
23234021110040 = 235131727146320947
BaseRepresentation
bin1010100100001100101111…
…00100110011000100011000
310001021011001212201220221212
411102012113210303010120
511021131233401010130
6121225321214122252
74615413462626516
oct522062744630430
9101234055656855
1023234021110040
117448547230484
122732aaa7b0388
13cc6c605cb040
145a476572b4b6
152a45846bce95
hex152197933118

23234021110040 has 256 divisors, whose sum is σ = 59961501573120. Its totient is φ = 8026534010880.

The previous prime is 23234021110039. The next prime is 23234021110049. The reversal of 23234021110040 is 4001112043232.

It is a junction number, because it is equal to n+sod(n) for n = 23234021109988 and 23234021110015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23234021110049) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1109170847 + ... + 1109191793.

It is an arithmetic number, because the mean of its divisors is an integer number (234224615520).

Almost surely, 223234021110040 is an apocalyptic number.

23234021110040 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 23234021110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29980750786560).

23234021110040 is an abundant number, since it is smaller than the sum of its proper divisors (36727480463080).

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

23234021110040 is a wasteful number, since it uses less digits than its factorization.

23234021110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21722 (or 21718 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 23234021110040 its reverse (4001112043232), we get a palindrome (27235133153272).

The spelling of 23234021110040 in words is "twenty-three trillion, two hundred thirty-four billion, twenty-one million, one hundred ten thousand, forty".