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4414131220 = 225892479849
BaseRepresentation
bin1000001110001101…
…00100110000010100
3102101121222002200111
410013012210300110
533020004144340
62010002052404
7214246332142
oct40706446024
912347862614
104414131220
111965731134
12a3234a104
13554670085
142dc356592
151ac7caaea
hex1071a4c14

4414131220 has 24 divisors (see below), whose sum is σ = 9373833000. Its totient is φ = 1745812992.

The previous prime is 4414131203. The next prime is 4414131221. The reversal of 4414131220 is 221314144.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 231404944 + 4182726276 = 15212^2 + 64674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4414131191 and 4414131200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414131221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1238145 + ... + 1241704.

It is an arithmetic number, because the mean of its divisors is an integer number (390576375).

Almost surely, 24414131220 is an apocalyptic number.

It is an amenable number.

4414131220 is an abundant number, since it is smaller than the sum of its proper divisors (4959701780).

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

4414131220 is a wasteful number, since it uses less digits than its factorization.

4414131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479947 (or 2479945 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4414131220 is about 66438.9284982833. The cubic root of 4414131220 is about 1640.3949103515.

Adding to 4414131220 its reverse (221314144), we get a palindrome (4635445364).

The spelling of 4414131220 in words is "four billion, four hundred fourteen million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 2479849 4959698 9919396 12399245 24798490 49596980 220706561 441413122 882826244 1103532805 2207065610 4414131220