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14285571482160 = 24335111973052003
BaseRepresentation
bin1100111111100001111001…
…1010011110001000110000
31212120200120001001022222000
43033320132122132020300
53333023322244412120
650214411223014000
73003045531036306
oct317703632361060
955520501038860
1014285571482160
11460852774a980
121728780b9a300
137c817b758c24
143755d522c276
1519b901a30990
hexcfe1e69e230

14285571482160 has 320 divisors, whose sum is σ = 53951617589760. Its totient is φ = 3445588177920.

The previous prime is 14285571482141. The next prime is 14285571482167. The reversal of 14285571482160 is 6128417558241.

14285571482160 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 5 + 571 + 4 + 8 + 2 + 1 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14285571482097 and 14285571482106.

It is not an unprimeable number, because it can be changed into a prime (14285571482167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3154719 + ... + 6206721.

It is an arithmetic number, because the mean of its divisors is an integer number (168598804968).

Almost surely, 214285571482160 is an apocalyptic number.

14285571482160 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 14285571482160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26975808794880).

14285571482160 is an abundant number, since it is smaller than the sum of its proper divisors (39666046107600).

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

14285571482160 is a wasteful number, since it uses less digits than its factorization.

14285571482160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052233 (or 3052221 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 14285571482160 in words is "fourteen trillion, two hundred eighty-five billion, five hundred seventy-one million, four hundred eighty-two thousand, one hundred sixty".