Search a number
-
+
14039892720 = 2432573775289
BaseRepresentation
bin11010001001101011…
…11100001011110000
31100020110112110002200
431010311330023300
5212223203031340
610241055343200
71004631055560
oct150465741360
940213473080
1014039892720
115a55176227
122879b21b00
131429968939
149728dcda0
155728b3330
hex344d7c2f0

14039892720 has 240 divisors, whose sum is σ = 55343570880. Its totient is φ = 3122343936.

The previous prime is 14039892707. The next prime is 14039892743. The reversal of 14039892720 is 2729893041.

14039892720 is a `hidden beast` number, since 1 + 403 + 98 + 92 + 72 + 0 = 666.

14039892720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×140398927203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 148836 + ... + 224124.

It is an arithmetic number, because the mean of its divisors is an integer number (230598212).

Almost surely, 214039892720 is an apocalyptic number.

14039892720 is a gapful number since it is divisible by the number (10) 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 14039892720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27671785440).

14039892720 is an abundant number, since it is smaller than the sum of its proper divisors (41303678160).

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

14039892720 is a wasteful number, since it uses less digits than its factorization.

14039892720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75352 (or 75343 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14039892720 in words is "fourteen billion, thirty-nine million, eight hundred ninety-two thousand, seven hundred twenty".