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14244475440 = 24351317271991
BaseRepresentation
bin11010100010000100…
…10111001000110000
31100202201111022211110
431101002113020300
5213133041203230
610313244313320
71012664020626
oct152102271060
940681438743
1014244475440
11604a6a9258
122916542840
131460168ac0
14991b55516
155858254b0
hex351097230

14244475440 has 320 divisors, whose sum is σ = 50588762112. Its totient is φ = 3284582400.

The previous prime is 14244475409. The next prime is 14244475463. The reversal of 14244475440 is 4457444241.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14373345 + ... + 14374335.

Almost surely, 214244475440 is an apocalyptic number.

14244475440 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 14244475440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25294381056).

14244475440 is an abundant number, since it is smaller than the sum of its proper divisors (36344286672).

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

14244475440 is a wasteful number, since it uses less digits than its factorization.

14244475440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 39.

The spelling of 14244475440 in words is "fourteen billion, two hundred forty-four million, four hundred seventy-five thousand, four hundred forty".