Search a number
-
+
12144411323010 = 2325134937903589
BaseRepresentation
bin1011000010111001011101…
…0100101010101010000010
31120222222211220110102002100
42300232113110222222002
53042433223244314020
641455022053531230
72362255556006601
oct260562724525202
946888756412070
1012144411323010
11396246365123a
121441802943b16
136a12a017a685
142ddb15031a38
15160d86065a90
hexb0b9752aa82

12144411323010 has 24 divisors (see below), whose sum is σ = 31575469440060. Its totient is φ = 3238509686112.

The previous prime is 12144411322949. The next prime is 12144411323059. The reversal of 12144411323010 is 1032311444121.

It is a happy number.

12144411323010 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 411 + 3 + 230 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10116273610881 + 2028137712129 = 3180609^2 + 1424127^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67468951705 + ... + 67468951884.

Almost surely, 212144411323010 is an apocalyptic number.

12144411323010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12144411323010 is an abundant number, since it is smaller than the sum of its proper divisors (19431058117050).

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

12144411323010 is a wasteful number, since it uses less digits than its factorization.

12144411323010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134937903602 (or 134937903599 counting only the distinct ones).

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

Adding to 12144411323010 its reverse (1032311444121), we get a palindrome (13176722767131).

The spelling of 12144411323010 in words is "twelve trillion, one hundred forty-four billion, four hundred eleven million, three hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 134937903589 269875807178 404813710767 674689517945 809627421534 1214441132301 1349379035890 2024068553835 2428882264602 4048137107670 6072205661505 12144411323010