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14131044020 = 22529179136111
BaseRepresentation
bin11010010100100011…
…01001111010110100
31100110211001102011202
431022101221322310
5212420021402040
610254113152032
71010115615032
oct151221517264
940424042152
1014131044020
115aa1673585
1228a455b618
131442801912
14980a69552
1557a8bb015
hex34a469eb4

14131044020 has 48 divisors (see below), whose sum is σ = 30870201600. Its totient is φ = 5426977920.

The previous prime is 14131044013. The next prime is 14131044029. The reversal of 14131044020 is 2044013141.

14131044020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14131043983 and 14131044001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131044029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35765 + ... + 171875.

It is an arithmetic number, because the mean of its divisors is an integer number (643129200).

Almost surely, 214131044020 is an apocalyptic number.

14131044020 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 14131044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15435100800).

14131044020 is an abundant number, since it is smaller than the sum of its proper divisors (16739157580).

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

14131044020 is a wasteful number, since it uses less digits than its factorization.

14131044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136328 (or 136326 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14131044020 its reverse (2044013141), we get a palindrome (16175057161).

The spelling of 14131044020 in words is "fourteen billion, one hundred thirty-one million, forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 179 290 358 580 716 895 1790 3580 5191 10382 20764 25955 51910 103820 136111 272222 544444 680555 1361110 2722220 3947219 7894438 15788876 19736095 24363869 39472190 48727738 78944380 97455476 121819345 243638690 487277380 706552201 1413104402 2826208804 3532761005 7065522010 14131044020