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14254201242 = 23217192129037
BaseRepresentation
bin11010100011001110…
…11101100110011010
31100210101210110010100
431101213131212122
5213143033414432
610314233000230
71013142466011
oct152147354632
940711713110
1014254201242
116055141406
122919853076
131462192908
14993167a78
155865e707c
hex3519dd99a

14254201242 has 72 divisors (see below), whose sum is σ = 34512761556. Its totient is φ = 4236509952.

The previous prime is 14254201237. The next prime is 14254201253. The reversal of 14254201242 is 24210245241.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12392365041 + 1861836201 = 111321^2 + 43149^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45948 + ... + 174984.

Almost surely, 214254201242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14254201242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17256380778).

14254201242 is an abundant number, since it is smaller than the sum of its proper divisors (20258560314).

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

14254201242 is a wasteful number, since it uses less digits than its factorization.

14254201242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129100 (or 129078 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14254201242 its reverse (24210245241), we get a palindrome (38464446483).

It can be divided in two parts, 14254 and 201242, that added together give a triangular number (215496 = T656).

The spelling of 14254201242 in words is "fourteen billion, two hundred fifty-four million, two hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 361 646 722 969 1083 1938 2166 2907 3249 5814 6137 6498 12274 18411 36822 55233 110466 129037 258074 387111 774222 1161333 2193629 2322666 2451703 4387258 4903406 6580887 7355109 13161774 14710218 19742661 22065327 39485322 41678951 44130654 46582357 83357902 93164714 125036853 139747071 250073706 279494142 375110559 419241213 750221118 791900069 838482426 1583800138 2375700207 4751400414 7127100621 14254201242