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413133135642 = 2342819075461
BaseRepresentation
bin1100000001100001010…
…01110101111100011010
31110111100221212210020000
412000300221311330122
523232044040320032
6513442444513430
741563552466133
oct6006051657432
91414327783200
10413133135642
1114a232980607
126809954b876
132cc5c485b16
1415dd24a6c8a
15ab2e897e7c
hex6030a75f1a

413133135642 has 40 divisors (see below), whose sum is σ = 929018743092. Its totient is φ = 137220955200.

The previous prime is 413133135631. The next prime is 413133135671. The reversal of 413133135642 is 246531331314.

413133135642 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 3 + 3 + 1 + 3 + 5 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 405805946841 + 7327188801 = 637029^2 + 85599^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413133135597 and 413133135606.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4492209 + ... + 4583252.

Almost surely, 2413133135642 is an apocalyptic number.

413133135642 is an abundant number, since it is smaller than the sum of its proper divisors (515885607450).

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

413133135642 is a wasteful number, since it uses less digits than its factorization.

413133135642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9075756 (or 9075747 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 413133135642 its reverse (246531331314), we get a palindrome (659664466956).

The spelling of 413133135642 in words is "four hundred thirteen billion, one hundred thirty-three million, one hundred thirty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 281 562 843 1686 2529 5058 7587 15174 22761 45522 9075461 18150922 27226383 54452766 81679149 163358298 245037447 490074894 735112341 1470224682 2550204541 5100409082 7650613623 15301227246 22951840869 45903681738 68855522607 137711045214 206566567821 413133135642