Search a number
-
+
13899420444 = 223713233714957
BaseRepresentation
bin11001111000111100…
…00101001100011100
31022212200012201100210
430330132011030130
5211431222423234
610215120452420
71001304060450
oct147436051434
938780181323
1013899420444
115992951338
12283aa7a110
131406824650
1495bdb4660
155653b6be9
hex33c78531c

13899420444 has 192 divisors, whose sum is σ = 42780358656. Its totient is φ = 3411403776.

The previous prime is 13899420433. The next prime is 13899420463. The reversal of 13899420444 is 44402499831.

13899420444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13899420393 and 13899420402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921814 + ... + 936770.

It is an arithmetic number, because the mean of its divisors is an integer number (222814368).

Almost surely, 213899420444 is an apocalyptic number.

13899420444 is a gapful number since it is divisible by the number (14) 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 13899420444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21390179328).

13899420444 is an abundant number, since it is smaller than the sum of its proper divisors (28880938212).

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

13899420444 is a wasteful number, since it uses less digits than its factorization.

13899420444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15044 (or 15042 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 13899420444 in words is "thirteen billion, eight hundred ninety-nine million, four hundred twenty thousand, four hundred forty-four".