Search a number
-
+
23831141400 = 233252111963347
BaseRepresentation
bin10110001100011100…
…100101110000011000
32021111211111102020200
4112030130211300120
5342301233011100
614540424022200
71502362234233
oct261434456030
967454442220
1023831141400
11a11a070290
124751001960
13232a326701
14122104241a
15947288e00
hex58c725c18

23831141400 has 288 divisors, whose sum is σ = 91905278400. Its totient is φ = 5473094400.

The previous prime is 23831141333. The next prime is 23831141443. The reversal of 23831141400 is 414113832.

23831141400 is a `hidden beast` number, since 238 + 3 + 11 + 414 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344527 + ... + 407873.

It is an arithmetic number, because the mean of its divisors is an integer number (319115550).

Almost surely, 223831141400 is an apocalyptic number.

23831141400 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 23831141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45952639200).

23831141400 is an abundant number, since it is smaller than the sum of its proper divisors (68074137000).

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

23831141400 is a wasteful number, since it uses less digits than its factorization.

23831141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63399 (or 63387 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 23831141400 in words is "twenty-three billion, eight hundred thirty-one million, one hundred forty-one thousand, four hundred".