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14348486880 = 253357131719113
BaseRepresentation
bin11010101110011110…
…01000100011100000
31101000222012122201000
431113033020203200
5213341203040010
610331441512000
71015366061160
oct152717104340
941028178630
1014348486880
1160a338a622
122945342600
131478885430
149a18ac5a0
1558ea1d7c0
hex3573c88e0

14348486880 has 1536 divisors, whose sum is σ = 69498777600. Its totient is φ = 2675441664.

The previous prime is 14348486879. The next prime is 14348486941. The reversal of 14348486880 is 8868484341.

14348486880 is a `hidden beast` number, since 1 + 4 + 3 + 484 + 86 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 126977704 + ... + 126977816.

It is an arithmetic number, because the mean of its divisors is an integer number (45246600).

Almost surely, 214348486880 is an apocalyptic number.

14348486880 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 14348486880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34749388800).

14348486880 is an abundant number, since it is smaller than the sum of its proper divisors (55150290720).

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

14348486880 is a wasteful number, since it uses less digits than its factorization.

14348486880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 14348486880 in words is "fourteen billion, three hundred forty-eight million, four hundred eighty-six thousand, eight hundred eighty".