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14113315000 = 23541729767
BaseRepresentation
bin11010010010011100…
…00001100010111000
31100102120200200112101
431021032001202320
5212401002040000
610252241153144
71006512124651
oct151116014270
940376620471
1014113315000
115a926644a4
12289a62b7b4
13143bc35085
1497c572528
15579067e6a
hex3493818b8

14113315000 has 120 divisors (see below), whose sum is σ = 35130660840. Its totient is φ = 5312704000.

The previous prime is 14113314967. The next prime is 14113315033. The reversal of 14113315000 is 51331141.

It is an interprime number because it is at equal distance from previous prime (14113314967) and next prime (14113315033).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1440117 + ... + 1449883.

It is an arithmetic number, because the mean of its divisors is an integer number (292755507).

Almost surely, 214113315000 is an apocalyptic number.

14113315000 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 14113315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565330420).

14113315000 is an abundant number, since it is smaller than the sum of its proper divisors (21017345840).

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

14113315000 is an equidigital number, since it uses as much as digits as its factorization.

14113315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9827 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 14113315000 its reverse (51331141), we get a palindrome (14164646141).

The spelling of 14113315000 in words is "fourteen billion, one hundred thirteen million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 289 340 425 500 578 625 680 850 1000 1156 1250 1445 1700 2125 2312 2500 2890 3400 4250 5000 5780 7225 8500 9767 10625 11560 14450 17000 19534 21250 28900 36125 39068 42500 48835 57800 72250 78136 85000 97670 144500 166039 180625 195340 244175 289000 332078 361250 390680 488350 664156 722500 830195 976700 1220875 1328312 1445000 1660390 1953400 2441750 2822663 3320780 4150975 4883500 5645326 6104375 6641560 8301950 9767000 11290652 12208750 14113315 16603900 20754875 22581304 24417500 28226630 33207800 41509750 48835000 56453260 70566575 83019500 103774375 112906520 141133150 166039000 207548750 282266300 352832875 415097500 564532600 705665750 830195000 1411331500 1764164375 2822663000 3528328750 7056657500 14113315000