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14142905280 = 2632573103139
BaseRepresentation
bin11010010101111101…
…11001101111000000
31100111122101000202200
431022332321233000
5212431040432110
610255215313200
71010321466000
oct151276715700
940448330680
1014142905280
115aa8335079
1228a851b800
1314450c570a
14982476000
1557b9606c0
hex34afb9bc0

14142905280 has 672 divisors, whose sum is σ = 57692544000. Its totient is φ = 3178248192.

The previous prime is 14142905263. The next prime is 14142905297. The reversal of 14142905280 is 8250924141.

14142905280 is a `hidden beast` number, since 1 + 4 + 1 + 42 + 90 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14142905263) and next prime (14142905297).

It is a tau number, because it is divible by the number of its divisors (672).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101747451 + ... + 101747589.

It is an arithmetic number, because the mean of its divisors is an integer number (85852000).

Almost surely, 214142905280 is an apocalyptic number.

14142905280 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 14142905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28846272000).

14142905280 is an abundant number, since it is smaller than the sum of its proper divisors (43549638720).

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

14142905280 is a wasteful number, since it uses less digits than its factorization.

14142905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 14142905280 in words is "fourteen billion, one hundred forty-two million, nine hundred five thousand, two hundred eighty".