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14057141760 = 2935559383
BaseRepresentation
bin11010001011101111…
…01111011000000000
31100021122222210100000
431011313233120000
5212242112014020
610242513200000
71005230506404
oct150567573000
940248883300
1014057141760
115a63987732
122883860000
1314303c7b7c
14974d0d104
1557416e090
hex345def600

14057141760 has 480 divisors, whose sum is σ = 51476705280. Its totient is φ = 3675414528.

The previous prime is 14057141741. The next prime is 14057141789. The reversal of 14057141760 is 6714175041.

14057141760 is a `hidden beast` number, since 1 + 40 + 571 + 41 + 7 + 6 + 0 = 666.

14057141760 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 (480).

It is a super-3 number, since 3×140571417603 (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 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, 36702529 + ... + 36702911.

It is an arithmetic number, because the mean of its divisors is an integer number (107243136).

Almost surely, 214057141760 is an apocalyptic number.

14057141760 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 14057141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738352640).

14057141760 is an abundant number, since it is smaller than the sum of its proper divisors (37419563520).

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

14057141760 is an frugal number, since it uses more digits than its factorization.

14057141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 14057141760 in words is "fourteen billion, fifty-seven million, one hundred forty-one thousand, seven hundred sixty".