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44142131010 = 2353175762701
BaseRepresentation
bin101001000111000100…
…110111011101000010
311012221100012121001010
4221013010313131002
51210400341143020
632140103021350
73121611631335
oct510704673502
9135840177033
1044142131010
11177a209a40a
12867b13a856
134216279263
1421ca75c61c
151235484de0
hexa47137742

44142131010 has 64 divisors (see below), whose sum is σ = 109504779264. Its totient is φ = 11376288000.

The previous prime is 44142131009. The next prime is 44142131017. The reversal of 44142131010 is 1013124144.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (44142131017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672660 + ... + 735360.

It is an arithmetic number, because the mean of its divisors is an integer number (1711012176).

Almost surely, 244142131010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44142131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54752389632).

44142131010 is an abundant number, since it is smaller than the sum of its proper divisors (65362648254).

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

44142131010 is a wasteful number, since it uses less digits than its factorization.

44142131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63499.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 44142131010 its reverse (1013124144), we get a palindrome (45155255154).

The spelling of 44142131010 in words is "forty-four billion, one hundred forty-two million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 757 930 1514 2271 3785 4542 7570 11355 22710 23467 46934 62701 70401 117335 125402 140802 188103 234670 313505 352005 376206 627010 704010 940515 1881030 1943731 3887462 5831193 9718655 11662386 19437310 29155965 47464657 58311930 94929314 142393971 237323285 284787942 474646570 711969855 1423939710 1471404367 2942808734 4414213101 7357021835 8828426202 14714043670 22071065505 44142131010