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20442331140 = 22357116766041
BaseRepresentation
bin10011000010011101…
…010011100000000100
31221202122212000111120
4103002131103200010
5313331214044030
613220250033540
71322402643030
oct230235234004
957678760446
1020442331140
118740187a50
123b661188b0
131c0a21ab3a
14dbcd491c0
157e99e2010
hex4c2753804

20442331140 has 192 divisors, whose sum is σ = 72428525568. Its totient is φ = 4184294400.

The previous prime is 20442331111. The next prime is 20442331171. The reversal of 20442331140 is 4113324402.

It is a self number, because there is not a number n which added to its sum of digits gives 20442331140.

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 63 ways as a sum of consecutive naturals, for example, 276520 + ... + 342560.

It is an arithmetic number, because the mean of its divisors is an integer number (377231904).

Almost surely, 220442331140 is an apocalyptic number.

20442331140 is a gapful number since it is divisible by the number (20) 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 20442331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36214262784).

20442331140 is an abundant number, since it is smaller than the sum of its proper divisors (51986194428).

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

20442331140 is a wasteful number, since it uses less digits than its factorization.

20442331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66138 (or 66136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20442331140 its reverse (4113324402), we get a palindrome (24555655542).

The spelling of 20442331140 in words is "twenty billion, four hundred forty-two million, three hundred thirty-one thousand, one hundred forty".