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4400212740 = 22357211359379
BaseRepresentation
bin1000001100100010…
…11110101100000100
3102100122202222010020
410012101132230010
533002423301430
62004343455140
7214020122400
oct40621365404
912318688106
104400212740
111958894a60
12a297574b0
13551808aa1
142da572100
151ab47bb10
hex10645eb04

4400212740 has 288 divisors, whose sum is σ = 15719961600. Its totient is φ = 909377280.

The previous prime is 4400212727. The next prime is 4400212759. The reversal of 4400212740 is 472120044.

It is a self number, because there is not a number n which added to its sum of digits gives 4400212740.

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 95 ways as a sum of consecutive naturals, for example, 11609871 + ... + 11610249.

It is an arithmetic number, because the mean of its divisors is an integer number (54583200).

Almost surely, 24400212740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400212740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859980800).

4400212740 is an abundant number, since it is smaller than the sum of its proper divisors (11319748860).

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

4400212740 is a wasteful number, since it uses less digits than its factorization.

4400212740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 4400212740 is about 66334.0993758112. The cubic root of 4400212740 is about 1638.6689502313.

Adding to 4400212740 its reverse (472120044), we get a palindrome (4872332784).

The spelling of 4400212740 in words is "four billion, four hundred million, two hundred twelve thousand, seven hundred forty".