Search a number
-
+
1463301112 = 2373131719127
BaseRepresentation
bin101011100111000…
…0011001111111000
310202222110101202111
41113032003033320
510444101113422
6401111342104
751155566000
oct12716031770
93688411674
101463301112
11690aa4869
1234a081934
131a4213160
14dc4ad000
15886eaa77
hex573833f8

1463301112 has 256 divisors, whose sum is σ = 3870720000. Its totient is φ = 512096256.

The previous prime is 1463301107. The next prime is 1463301113. The reversal of 1463301112 is 2111033641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463301113) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11521993 + ... + 11522119.

It is an arithmetic number, because the mean of its divisors is an integer number (15120000).

Almost surely, 21463301112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360000).

1463301112 is an abundant number, since it is smaller than the sum of its proper divisors (2407418888).

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

1463301112 is a wasteful number, since it uses less digits than its factorization.

1463301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1463301112 is about 38253.1189839469. The cubic root of 1463301112 is about 1135.3015589485.

Adding to 1463301112 its reverse (2111033641), we get a palindrome (3574334753).

The spelling of 1463301112 in words is "one billion, four hundred sixty-three million, three hundred one thousand, one hundred twelve".