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14141466113280 = 2835111743457987
BaseRepresentation
bin1100110111001001000100…
…0100000111010100000000
31212001220121002101002211120
43031302101010013110000
53323143210311111110
650024255544512240
72656454466440442
oct315622104072400
955056532332746
1014141466113280
1145623a8a543a0
12170486447b680
137b76c44a209c
1436c64469c492
15197cba6c3870
hexcdc91107500

14141466113280 has 576 divisors, whose sum is σ = 53381732963328. Its totient is φ = 3151529902080.

The previous prime is 14141466113279. The next prime is 14141466113353. The reversal of 14141466113280 is 8231166414141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30648447 + ... + 31106433.

It is an arithmetic number, because the mean of its divisors is an integer number (92676619728).

Almost surely, 214141466113280 is an apocalyptic number.

14141466113280 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 14141466113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26690866481664).

14141466113280 is an abundant number, since it is smaller than the sum of its proper divisors (39240266850048).

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

14141466113280 is a wasteful number, since it uses less digits than its factorization.

14141466113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458082 (or 458068 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 14141466113280 in words is "fourteen trillion, one hundred forty-one billion, four hundred sixty-six million, one hundred thirteen thousand, two hundred eighty".