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14146045560 = 23325535691303
BaseRepresentation
bin11010010110010101…
…11000011001111000
31100111212021120102100
431023022320121320
5212432341424220
610255410503400
71010360255223
oct151312703170
940455246370
1014146045560
115aaa08a449
1228a9594b60
131445954b7a
14982a525ba
1557bd80d90
hex34b2b8678

14146045560 has 192 divisors, whose sum is σ = 46960430400. Its totient is φ = 3691763712.

The previous prime is 14146045549. The next prime is 14146045561. The reversal of 14146045560 is 6554064141.

14146045560 is a `hidden beast` number, since 1 + 4 + 146 + 0 + 455 + 60 = 666.

14146045560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141460455602 (a number of 21 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (14146045561) by changing a digit.

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, 10855869 + ... + 10857171.

It is an arithmetic number, because the mean of its divisors is an integer number (244585575).

Almost surely, 214146045560 is an apocalyptic number.

14146045560 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 14146045560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23480215200).

14146045560 is an abundant number, since it is smaller than the sum of its proper divisors (32814384840).

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

14146045560 is a wasteful number, since it uses less digits than its factorization.

14146045560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 14146045560 in words is "fourteen billion, one hundred forty-six million, forty-five thousand, five hundred sixty".