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14147354260 = 2251356995629
BaseRepresentation
bin11010010110011111…
…10111111010010100
31100111221202001121201
431023033313322110
5212433210314020
610255454522244
71010404345534
oct151317677224
940457661551
1014147354260
115aaa8a3716
1228a9b06384
131445cc2750
14982cb34c4
1557c03da0a
hex34b3f7e94

14147354260 has 48 divisors (see below), whose sum is σ = 32051350800. Its totient is φ = 5214403584.

The previous prime is 14147354201. The next prime is 14147354311. The reversal of 14147354260 is 6245374141.

It can be written as a sum of positive squares in 8 ways, for example, as 7333181956 + 6814172304 = 85634^2 + 82548^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100126 + ... + 195754.

It is an arithmetic number, because the mean of its divisors is an integer number (667736475).

Almost surely, 214147354260 is an apocalyptic number.

14147354260 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 14147354260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16025675400).

14147354260 is an abundant number, since it is smaller than the sum of its proper divisors (17903996540).

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

14147354260 is a wasteful number, since it uses less digits than its factorization.

14147354260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96220 (or 96218 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 14147354260 in words is "fourteen billion, one hundred forty-seven million, three hundred fifty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 569 1138 2276 2845 5690 7397 11380 14794 29588 36985 73970 95629 147940 191258 382516 478145 956290 1243177 1912580 2486354 4972708 6215885 12431770 24863540 54412901 108825802 217651604 272064505 544129010 707367713 1088258020 1414735426 2829470852 3536838565 7073677130 14147354260