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14206460241 = 331974333637
BaseRepresentation
bin11010011101100010…
…10110000101010001
31100200001221221210010
431032301112011101
5213043323211431
610305405425133
71012022630301
oct151661260521
940601857703
1014206460241
1160301a3936
12290586b1a9
1314553187bc
1498aa9b601
15582316846
hex34ec56151

14206460241 has 32 divisors (see below), whose sum is σ = 19805621248. Its totient is φ = 9047531520.

The previous prime is 14206460239. The next prime is 14206460263.

It is a happy number.

14206460241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14206460241 - 21 = 14206460239 is a prime.

It is a super-2 number, since 2×142064602412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14206460199 and 14206460208.

It is not an unprimeable number, because it can be changed into a prime (14206460201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3904275 + ... + 3907911.

It is an arithmetic number, because the mean of its divisors is an integer number (618925664).

Almost surely, 214206460241 is an apocalyptic number.

It is an amenable number.

14206460241 is a deficient number, since it is larger than the sum of its proper divisors (5599161007).

14206460241 is a wasteful number, since it uses less digits than its factorization.

14206460241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 14206460241 in words is "fourteen billion, two hundred six million, four hundred sixty thousand, two hundred forty-one".

Divisors: 1 3 31 93 97 291 433 1299 3007 3637 9021 10911 13423 40269 42001 112747 126003 338241 352789 1058367 1302031 1574821 3906093 4724463 10936459 32809377 48819451 146458353 152757637 458272911 4735486747 14206460241