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14023322496 = 273241367809
BaseRepresentation
bin11010000111101101…
…01110101110000000
31100012022100121000200
431003312232232000
5212204432304441
610235304245200
71004340163101
oct150366565600
940168317020
1014023322496
115a46888827
122874470800
1314263b6681
149706283a8
155711dd7b6
hex343daeb80

14023322496 has 192 divisors, whose sum is σ = 41501678400. Its totient is φ = 4542382080.

The previous prime is 14023322483. The next prime is 14023322549. The reversal of 14023322496 is 69422332041.

14023322496 is a `hidden beast` number, since 1 + 402 + 3 + 3 + 2 + 249 + 6 = 666.

14023322496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14023322496.

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 23 ways as a sum of consecutive naturals, for example, 17333740 + ... + 17334548.

It is an arithmetic number, because the mean of its divisors is an integer number (216154575).

Almost surely, 214023322496 is an apocalyptic number.

14023322496 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 14023322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20750839200).

14023322496 is an abundant number, since it is smaller than the sum of its proper divisors (27478355904).

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

14023322496 is a wasteful number, since it uses less digits than its factorization.

14023322496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 14023322496 in words is "fourteen billion, twenty-three million, three hundred twenty-two thousand, four hundred ninety-six".