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14247342720 = 2731051329
BaseRepresentation
bin11010100010011010…
…10011001010000000
31100202220220000000000
431101031103022000
5213134304431340
610313430000000
71013030262222
oct152115231200
940686800000
1014247342720
116051287506
1229174a6000
131460930c10
149922a0412
15585bded30
hex351353280

14247342720 has 704 divisors, whose sum is σ = 56917009800. Its totient is φ = 3386105856.

The previous prime is 14247342623. The next prime is 14247342721. The reversal of 14247342720 is 2724374241.

14247342720 is a `hidden beast` number, since 1 + 4 + 247 + 342 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9073705536 + 5173637184 = 95256^2 + 71928^2 .

It is a super-2 number, since 2×142473427202 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14247342721) by changing a digit.

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 87 ways as a sum of consecutive naturals, for example, 491287666 + ... + 491287694.

Almost surely, 214247342720 is an apocalyptic number.

14247342720 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 14247342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28458504900).

14247342720 is an abundant number, since it is smaller than the sum of its proper divisors (42669667080).

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

14247342720 is an frugal number, since it uses more digits than its factorization.

14247342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

It can be divided in two parts, 142473 and 42720, that added together give a cube (185193 = 573).

The spelling of 14247342720 in words is "fourteen billion, two hundred forty-seven million, three hundred forty-two thousand, seven hundred twenty".