Search a number
-
+
12410432034 = 23711213375077
BaseRepresentation
bin10111000111011100…
…00010101000100010
31012000220102021020220
423203232002220202
5200404032311114
65411250343510
7616353634410
oct134356025042
935026367226
1012410432034
115299402300
1224a428ab96
13122a1b9510
1485a33a2b0
154c97e50a9
hex2e3b82a22

12410432034 has 192 divisors, whose sum is σ = 34492700928. Its totient is φ = 2894538240.

The previous prime is 12410432033. The next prime is 12410432051. The reversal of 12410432034 is 43023401421.

It is a junction number, because it is equal to n+sod(n) for n = 12410431995 and 12410432013.

It is not an unprimeable number, because it can be changed into a prime (12410432033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2441904 + ... + 2446980.

It is an arithmetic number, because the mean of its divisors is an integer number (179649484).

Almost surely, 212410432034 is an apocalyptic number.

12410432034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12410432034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17246350464).

12410432034 is an abundant number, since it is smaller than the sum of its proper divisors (22082268894).

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

12410432034 is a wasteful number, since it uses less digits than its factorization.

12410432034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5150 counting only the distinct ones).

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

Adding to 12410432034 its reverse (43023401421), we get a palindrome (55433833455).

It can be divided in two parts, 12410 and 432034, that added together give a palindrome (444444).

The spelling of 12410432034 in words is "twelve billion, four hundred ten million, four hundred thirty-two thousand, thirty-four".