Search a number
4444001320 = 2351129334471
BaseRepresentation
bin1000010001110001…
…00001010000101000
3102110201011122202111
410020320201100220
533100131020240
62012550212104
7215061250033
oct41070412050
912421148674
104444001320
111980582a70
12a40354034
1355a8caba5
143022d001a
151b022b1ea
hex108e21428

4444001320 has 64 divisors (see below), whose sum is σ = 10945549440. Its totient is φ = 1610438400.

The previous prime is 4444001279. The next prime is 4444001323. The reversal of 4444001320 is 231004444.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4444001291 and 4444001300.

It is not an unprimeable number, because it can be changed into a prime (4444001323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111685 + ... + 146155.

It is an arithmetic number, because the mean of its divisors is an integer number (171024210).

Almost surely, 24444001320 is an apocalyptic number.

4444001320 is a gapful number since it is divisible by the number (40) 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 4444001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472774720).

4444001320 is an abundant number, since it is smaller than the sum of its proper divisors (6501548120).

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

4444001320 is a wasteful number, since it uses less digits than its factorization.

4444001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34786 (or 34782 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4444001320 is about 66663.3431504901. The cubic root of 4444001320 is about 1644.0867391281.

Adding to 4444001320 its reverse (231004444), we get a palindrome (4675005764).

The spelling of 4444001320 in words is "four billion, four hundred forty-four million, one thousand, three hundred twenty".