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42410657412 = 22321373858029
BaseRepresentation
bin100111011111110111…
…110100011010000100
311001110200010121210100
4213133313310122010
51143324112014122
631252211324100
73030655432344
oct473767643204
9131420117710
1042410657412
1116a9378a6a2
1282772b0630
133ccb630076
1420a4802d24
151183465aac
hex9dfdf4684

42410657412 has 36 divisors (see below), whose sum is σ = 107282923020. Its totient is φ = 14126572992.

The previous prime is 42410657407. The next prime is 42410657417. The reversal of 42410657412 is 21475601424.

42410657412 is a `hidden beast` number, since 42 + 41 + 0 + 6 + 574 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42410657407) and next prime (42410657417).

It can be written as a sum of positive squares in 2 ways, for example, as 39977603136 + 2433054276 = 199944^2 + 49326^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42410657417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379587 + ... + 478442.

It is an arithmetic number, because the mean of its divisors is an integer number (2980081195).

Almost surely, 242410657412 is an apocalyptic number.

It is an amenable number.

42410657412 is an abundant number, since it is smaller than the sum of its proper divisors (64872265608).

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

42410657412 is a wasteful number, since it uses less digits than its factorization.

42410657412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859412 (or 859407 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42410657412 in words is "forty-two billion, four hundred ten million, six hundred fifty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1373 2746 4119 5492 8238 12357 16476 24714 49428 858029 1716058 2574087 3432116 5148174 7722261 10296348 15444522 30889044 1178073817 2356147634 3534221451 4712295268 7068442902 10602664353 14136885804 21205328706 42410657412