Search a number
-
+
232042340000 = 2554291073739
BaseRepresentation
bin1101100000011011001…
…1010001111010100000
3211011221102121012122202
43120012303101322200
512300210314340000
6254333200352332
722523140226612
oct3300663217240
9734842535582
10232042340000
118a454940529
1238b7a6156a8
1318b5c864283
14b333886db2
156081525dd5
hex3606cd1ea0

232042340000 has 240 divisors, whose sum is σ = 596222272800. Its totient is φ = 88755072000.

The previous prime is 232042339939. The next prime is 232042340017. The reversal of 232042340000 is 43240232.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62058131 + ... + 62061869.

It is an arithmetic number, because the mean of its divisors is an integer number (2484259470).

Almost surely, 2232042340000 is an apocalyptic number.

232042340000 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 232042340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298111136400).

232042340000 is an abundant number, since it is smaller than the sum of its proper divisors (364179932800).

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

232042340000 is a wasteful number, since it uses less digits than its factorization.

232042340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3882 counting only the distinct ones).

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

Adding to 232042340000 its reverse (43240232), we get a palindrome (232085580232).

The spelling of 232042340000 in words is "two hundred thirty-two billion, forty-two million, three hundred forty thousand".