Search a number
-
+
14080614912 = 29347213241
BaseRepresentation
bin11010001110100010…
…10010001000000000
31100100022011100110000
431013101102020000
5212314114134122
610245112240000
71005634152300
oct150721221000
940308140400
1014080614912
115a7615a431
12288b6a0000
131435226100
1497809d600
155762590ac
hex347452200

14080614912 has 900 divisors, whose sum is σ = 54229579866. Its totient is φ = 3622993920.

The previous prime is 14080614869. The next prime is 14080614917. The reversal of 14080614912 is 21941608041.

It can be written as a sum of positive squares in 3 ways, for example, as 3301191936 + 10779422976 = 57456^2 + 103824^2 .

It is a super-3 number, since 3×140806149123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14080614917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 343429612 + ... + 343429652.

Almost surely, 214080614912 is an apocalyptic number.

14080614912 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 14080614912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27114789933).

14080614912 is an abundant number, since it is smaller than the sum of its proper divisors (40148964954).

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

14080614912 is an equidigital number, since it uses as much as digits as its factorization.

14080614912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 14080614912 in words is "fourteen billion, eighty million, six hundred fourteen thousand, nine hundred twelve".