Search a number
-
+
232104341040 = 2435111349913553
BaseRepresentation
bin1101100000101001111…
…1110010111000110000
3211012002202021012002120
43120022133302320300
512300322202403130
6254343253314240
722524522226635
oct3301237627060
9735082235076
10232104341040
118a486938860
1238b97335980
1318b6c661c90
14b33bbc618c
156086bc1910
hex360a7f2e30

232104341040 has 320 divisors, whose sum is σ = 847070784000. Its totient is φ = 51831521280.

The previous prime is 232104341023. The next prime is 232104341041. The reversal of 232104341040 is 40143401232.

232104341040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2321043410402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 232104341040.

It is not an unprimeable number, because it can be changed into a prime (232104341041) 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, 17118904 + ... + 17132456.

It is an arithmetic number, because the mean of its divisors is an integer number (2647096200).

Almost surely, 2232104341040 is an apocalyptic number.

232104341040 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 232104341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423535392000).

232104341040 is an abundant number, since it is smaller than the sum of its proper divisors (614966442960).

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

232104341040 is a wasteful number, since it uses less digits than its factorization.

232104341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14092 (or 14086 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 232104341040 its reverse (40143401232), we get a palindrome (272247742272).

The spelling of 232104341040 in words is "two hundred thirty-two billion, one hundred four million, three hundred forty-one thousand, forty".