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4404400840 = 235715730003
BaseRepresentation
bin1000001101000010…
…11101001011001000
3102100221122202010001
410012201131023020
533010011311330
62005013332344
7214100534530
oct40641351310
912327582101
104404400840
1119601955a4
12a2b0370b4
13552644158
142dad424c0
151aba079ca
hex10685d2c8

4404400840 has 32 divisors (see below), whose sum is σ = 11325602880. Its totient is φ = 1510080192.

The previous prime is 4404400837. The next prime is 4404400961. The reversal of 4404400840 is 480044044.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4404400799 and 4404400808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7864722 + ... + 7865281.

It is an arithmetic number, because the mean of its divisors is an integer number (353925090).

Almost surely, 24404400840 is an apocalyptic number.

4404400840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404400840 is an abundant number, since it is smaller than the sum of its proper divisors (6921202040).

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

4404400840 is a wasteful number, since it uses less digits than its factorization.

4404400840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15730021 (or 15730017 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4404400840 is about 66365.6600961672. The cubic root of 4404400840 is about 1639.1886776192.

Adding to 4404400840 its reverse (480044044), we get a palindrome (4884444884).

The spelling of 4404400840 in words is "four billion, four hundred four million, four hundred thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 15730003 31460006 62920012 78650015 110110021 125840024 157300030 220220042 314600060 440440084 550550105 629200120 880880168 1101100210 2202200420 4404400840