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440234331040 = 25571769133461
BaseRepresentation
bin1100110100000000000…
…00101100101110100000
31120002022200120011020201
412122000000230232200
524203044442043130
6534124005314544
743543263033460
oct6320000545640
91502280504221
10440234331040
1115a77a891859
12713a1705a54
133268b10830a
141744392bba0
15b6b8c6bbca
hex668002cba0

440234331040 has 192 divisors, whose sum is σ = 1260411280128. Its totient is φ = 141848985600.

The previous prime is 440234331011. The next prime is 440234331041. The reversal of 440234331040 is 40133432044.

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

It is not an unprimeable number, because it can be changed into a prime (440234331041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13139910 + ... + 13173370.

It is an arithmetic number, because the mean of its divisors is an integer number (6564642084).

Almost surely, 2440234331040 is an apocalyptic number.

440234331040 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 440234331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630205640064).

440234331040 is an abundant number, since it is smaller than the sum of its proper divisors (820176949088).

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

440234331040 is a wasteful number, since it uses less digits than its factorization.

440234331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34191 (or 34183 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 440234331040 its reverse (40133432044), we get a palindrome (480367763084).

The spelling of 440234331040 in words is "four hundred forty billion, two hundred thirty-four million, three hundred thirty-one thousand, forty".