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14054609376 = 2534173110289
BaseRepresentation
bin11010001011011100…
…00101000111100000
31100021111020010120000
431011232011013200
5212240440000001
610242343020000
71005200131353
oct150556050740
940244203500
1014054609376
115a62508055
122882a3a600
13142ca1c312
1497485029a
15573d1da86
hex345b851e0

14054609376 has 240 divisors, whose sum is σ = 45181825920. Its totient is φ = 4266639360.

The previous prime is 14054609357. The next prime is 14054609389. The reversal of 14054609376 is 67390645041.

14054609376 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 4 + 609 + 37 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1360840 + ... + 1371128.

It is an arithmetic number, because the mean of its divisors is an integer number (188257608).

Almost surely, 214054609376 is an apocalyptic number.

14054609376 is a gapful number since it is divisible by the number (16) 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 14054609376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22590912960).

14054609376 is an abundant number, since it is smaller than the sum of its proper divisors (31127216544).

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

14054609376 is a wasteful number, since it uses less digits than its factorization.

14054609376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359 (or 10342 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 14054609376 in words is "fourteen billion, fifty-four million, six hundred nine thousand, three hundred seventy-six".