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42444001140 = 22354117253659
BaseRepresentation
bin100111100001110111…
…000000111101110100
311001112222212122210020
4213201313000331310
51143411131014030
631255402125140
73031542025362
oct474167007564
9131488778706
1042444001140
11170005942a2
1282864b07b0
134005505c98
1420a9002632
151186350510
hex9e1dc0f74

42444001140 has 48 divisors (see below), whose sum is σ = 121741824960. Its totient is φ = 11042341120.

The previous prime is 42444001139. The next prime is 42444001147. The reversal of 42444001140 is 4110044424.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42444001140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42444001147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8624370 + ... + 8629289.

It is an arithmetic number, because the mean of its divisors is an integer number (2536288020).

Almost surely, 242444001140 is an apocalyptic number.

It is an amenable number.

42444001140 is an abundant number, since it is smaller than the sum of its proper divisors (79297823820).

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

42444001140 is a wasteful number, since it uses less digits than its factorization.

42444001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17253712 (or 17253710 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42444001140 its reverse (4110044424), we get a palindrome (46554045564).

The spelling of 42444001140 in words is "forty-two billion, four hundred forty-four million, one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 17253659 34507318 51760977 69014636 86268295 103521954 172536590 207043908 258804885 345073180 517609770 707400019 1035219540 1414800038 2122200057 2829600076 3537000095 4244400114 7074000190 8488800228 10611000285 14148000380 21222000570 42444001140