Search a number
-
+
14099694336 = 283272132739
BaseRepresentation
bin11010010000110100…
…00100001100000000
31100101122001200111100
431020122010030000
5212334010204321
610251033214400
71006255265400
oct151032041400
940348050440
1014099694336
115a85a01052
122895b61400
131439176500
1497a828800
15577c77326
hex348684300

14099694336 has 486 divisors, whose sum is σ = 51276918420. Its totient is φ = 3713568768.

The previous prime is 14099694317. The next prime is 14099694337. The reversal of 14099694336 is 63349699041.

14099694336 is a `hidden beast` number, since 140 + 9 + 9 + 69 + 433 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (14099694337) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19079055 + ... + 19079793.

Almost surely, 214099694336 is an apocalyptic number.

14099694336 is a gapful number since it is divisible by the number (16) 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 14099694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25638459210).

14099694336 is an abundant number, since it is smaller than the sum of its proper divisors (37177224084).

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

14099694336 is a wasteful number, since it uses less digits than its factorization.

14099694336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 14099694336 in words is "fourteen billion, ninety-nine million, six hundred ninety-four thousand, three hundred thirty-six".