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42113144044100 = 22521724772437673
BaseRepresentation
bin10011001001101001110101…
…11111011011101001000100
312112002222101102020211100102
421210310322333123221010
521004440204333402400
6225322302234503232
711604400653050423
oct1144647277335104
9175088342224312
1042113144044100
11124670a1a1a918
124881986894b18
131a6633880524c
14a5840392d2ba
154d06d5d3a9d5
hex264d3afdba44

42113144044100 has 36 divisors (see below), whose sum is σ = 96761141554644. Its totient is φ = 15854360110080.

The previous prime is 42113144044087. The next prime is 42113144044121. The reversal of 42113144044100 is 144044131124.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1043323330624 + 41069820713476 = 1021432^2 + 6408574^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12386217137 + ... + 12386220536.

It is an arithmetic number, because the mean of its divisors is an integer number (2687809487629).

Almost surely, 242113144044100 is an apocalyptic number.

It is an amenable number.

42113144044100 is an abundant number, since it is smaller than the sum of its proper divisors (54647997510544).

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

42113144044100 is a wasteful number, since it uses less digits than its factorization.

42113144044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24772437704 (or 24772437697 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 42113144044100 its reverse (144044131124), we get a palindrome (42257188175224).

The spelling of 42113144044100 in words is "forty-two trillion, one hundred thirteen billion, one hundred forty-four million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 24772437673 49544875346 99089750692 123862188365 247724376730 421131440441 495448753460 619310941825 842262880882 1238621883650 1684525761764 2105657202205 2477243767300 4211314404410 8422628808820 10528286011025 21056572022050 42113144044100