Search a number
-
+
14481899712 = 2633719611033
BaseRepresentation
bin11010111110011000…
…00100000011000000
31101101021020201201000
431133030010003000
5214124331242322
610353005212000
71021606054650
oct153714040300
941337221630
1014481899712
116161722665
122981b61000
13149a3c7437
149b54ba360
1559b5c33ac
hex35f3040c0

14481899712 has 448 divisors, whose sum is σ = 52106982400. Its totient is φ = 3851919360.

The previous prime is 14481899687. The next prime is 14481899713. The reversal of 14481899712 is 21799818441.

14481899712 is a `hidden beast` number, since 1 + 4 + 481 + 8 + 99 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14481899713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14018748 + ... + 14019780.

Almost surely, 214481899712 is an apocalyptic number.

14481899712 is a gapful number since it is divisible by the number (12) 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 14481899712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26053491200).

14481899712 is an abundant number, since it is smaller than the sum of its proper divisors (37625082688).

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

14481899712 is a wasteful number, since it uses less digits than its factorization.

14481899712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1125 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 14481899712 in words is "fourteen billion, four hundred eighty-one million, eight hundred ninety-nine thousand, seven hundred twelve".