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42241121104 = 2472134144537
BaseRepresentation
bin100111010101110001…
…000101101101010000
311001000212010021200211
4213111301011231100
51143002211333404
631223313453504
73023526414400
oct472561055520
9131025107624
1042241121104
1116a07014546
12822a571294
133ca2480b20
14208a0b0800
151173627b04
hex9d5c45b50

42241121104 has 60 divisors (see below), whose sum is σ = 102527581044. Its totient is φ = 16710769152.

The previous prime is 42241121071. The next prime is 42241121113. The reversal of 42241121104 is 40112114224.

It can be written as a sum of positive squares in 2 ways, for example, as 24885693504 + 17355427600 = 157752^2 + 131740^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2062077 + ... + 2082460.

Almost surely, 242241121104 is an apocalyptic number.

It is an amenable number.

42241121104 is an abundant number, since it is smaller than the sum of its proper divisors (60286459940).

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

42241121104 is a wasteful number, since it uses less digits than its factorization.

42241121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144572 (or 4144559 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 42241121104 its reverse (40112114224), we get a palindrome (82353235328).

The spelling of 42241121104 in words is "forty-two billion, two hundred forty-one million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 4144537 8289074 16578148 29011759 33156296 53878981 58023518 66312592 107757962 116047036 203082313 215515924 232094072 377152867 406164626 431031848 464188144 754305734 812329252 862063696 1508611468 1624658504 2640070069 3017222936 3249317008 5280140138 6034445872 10560280276 21120560552 42241121104