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14254177360 = 245178177217
BaseRepresentation
bin11010100011001110…
…10111110001010000
31100210101202020100211
431101213113301100
5213143032133420
610314232253504
71013142336253
oct152147276120
940711666324
1014254177360
116055125475
122919841294
131462184a97
1499315d09a
155865dee5a
hex3519d7c50

14254177360 has 20 divisors (see below), whose sum is σ = 33140962548. Its totient is φ = 5701670912.

The previous prime is 14254177351. The next prime is 14254177381. The reversal of 14254177360 is 6377145241.

14254177360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10612296256 + 3641881104 = 103016^2 + 60348^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89088529 + ... + 89088688.

Almost surely, 214254177360 is an apocalyptic number.

14254177360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14254177360 is an abundant number, since it is smaller than the sum of its proper divisors (18886785188).

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

14254177360 is a wasteful number, since it uses less digits than its factorization.

14254177360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178177230 (or 178177224 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 14254177360 in words is "fourteen billion, two hundred fifty-four million, one hundred seventy-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 178177217 356354434 712708868 890886085 1425417736 1781772170 2850835472 3563544340 7127088680 14254177360