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12314444250 = 2353119313763
BaseRepresentation
bin10110111011111111…
…11000000111011010
31011210012210120202210
423131333320013122
5200204444204000
65353541135550
7614110022553
oct133577700732
934705716683
1012314444250
11524a201259
1224780ba5b6
13121334c004
1484b6b132a
154c1184350
hex2ddff81da

12314444250 has 64 divisors (see below), whose sum is σ = 30764852352. Its totient is φ = 3280860800.

The previous prime is 12314444243. The next prime is 12314444251. The reversal of 12314444250 is 5244441321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12314444251) 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, 887869 + ... + 901631.

It is an arithmetic number, because the mean of its divisors is an integer number (480700818).

Almost surely, 212314444250 is an apocalyptic number.

12314444250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12314444250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15382426176).

12314444250 is an abundant number, since it is smaller than the sum of its proper divisors (18450408102).

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

12314444250 is a wasteful number, since it uses less digits than its factorization.

12314444250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14976 (or 14966 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 12314444250 its reverse (5244441321), we get a palindrome (17558885571).

The spelling of 12314444250 in words is "twelve billion, three hundred fourteen million, four hundred forty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 1193 2386 3579 5965 7158 11930 13763 17895 27526 29825 35790 41289 59650 68815 82578 89475 137630 149125 178950 206445 298250 344075 412890 447375 688150 894750 1032225 1720375 2064450 3440750 5161125 10322250 16419259 32838518 49257777 82096295 98515554 164192590 246288885 410481475 492577770 820962950 1231444425 2052407375 2462888850 4104814750 6157222125 12314444250