Search a number
-
+
13431230340 = 223511194012671
BaseRepresentation
bin11001000001001000…
…00100111110000100
31021200001020012021120
430200210010332010
5210001343332330
610100433513540
7653560400643
oct144044047604
937601205246
1013431230340
115772641170
12272a1128b0
131360829298
14915b3d35a
15539233c10
hex320904f84

13431230340 has 192 divisors, whose sum is σ = 43309486080. Its totient is φ = 3075840000.

The previous prime is 13431230339. The next prime is 13431230353. The reversal of 13431230340 is 4303213431.

It is a super-2 number, since 2×134312303402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13431230340.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5027205 + ... + 5029875.

It is an arithmetic number, because the mean of its divisors is an integer number (225570240).

Almost surely, 213431230340 is an apocalyptic number.

13431230340 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 13431230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21654743040).

13431230340 is an abundant number, since it is smaller than the sum of its proper divisors (29878255740).

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

13431230340 is a wasteful number, since it uses less digits than its factorization.

13431230340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13431230340 its reverse (4303213431), we get a palindrome (17734443771).

The spelling of 13431230340 in words is "thirteen billion, four hundred thirty-one million, two hundred thirty thousand, three hundred forty".