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14455378080 = 25325111370199
BaseRepresentation
bin11010111011001101…
…11001000010100000
31101022102100021212100
431131212321002200
5214101034044310
610350220530400
71021134454263
oct153546710240
941272307770
1014455378080
116148758560
1229750b0a00
131494a6c770
149b1b74cda
155990d4ec0
hex35d9b90a0

14455378080 has 288 divisors, whose sum is σ = 57953750400. Its totient is φ = 3234723840.

The previous prime is 14455378079. The next prime is 14455378129. The reversal of 14455378080 is 8087355441.

14455378080 is a `hidden beast` number, since 1 + 445 + 53 + 7 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170821 + ... + 241019.

It is an arithmetic number, because the mean of its divisors is an integer number (201228300).

Almost surely, 214455378080 is an apocalyptic number.

14455378080 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 14455378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28976875200).

14455378080 is an abundant number, since it is smaller than the sum of its proper divisors (43498372320).

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

14455378080 is a wasteful number, since it uses less digits than its factorization.

14455378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70244 (or 70233 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 14455378080 in words is "fourteen billion, four hundred fifty-five million, three hundred seventy-eight thousand, eighty".