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14212421241 = 337497325747
BaseRepresentation
bin11010011110010000…
…00101011001111001
31100200111011210201220
431033020011121321
5213101334434431
610310141302253
71012124405304
oct151710053171
940614153656
1014212421241
1160335a5487
122907864989
131456624b15
1498b7adb3b
15582ae2b96
hex34f205679

14212421241 has 16 divisors (see below), whose sum is σ = 19466723904. Its totient is φ = 9216656064.

The previous prime is 14212421233. The next prime is 14212421263.

It is a happy number.

14212421241 is nontrivially palindromic in base 10.

14212421241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14212421241 - 23 = 14212421233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14212421291) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 539130 + ... + 564876.

It is an arithmetic number, because the mean of its divisors is an integer number (1216670244).

Almost surely, 214212421241 is an apocalyptic number.

It is an amenable number.

14212421241 is a deficient number, since it is larger than the sum of its proper divisors (5254302663).

14212421241 is a wasteful number, since it uses less digits than its factorization.

14212421241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30760.

The product of its digits is 1024, while the sum is 24.

The spelling of 14212421241 in words is "fourteen billion, two hundred twelve million, four hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 3 37 111 4973 14919 25747 77241 184001 552003 952639 2857917 128039831 384119493 4737473747 14212421241