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413313144010 = 251311932664989
BaseRepresentation
bin1100000001110110110…
…00100001010011001010
31110111211111121011021121
412000323120201103022
523232431131102020
6513512355025454
741601166520644
oct6007330412312
91414744534247
10413313144010
1114a315549558
126812989b28a
132cc8a860750
141600c363894
15ab405a3baa
hex603b6214ca

413313144010 has 32 divisors (see below), whose sum is σ = 801863511120. Its totient is φ = 152479953408.

The previous prime is 413313143987. The next prime is 413313144019. The reversal of 413313144010 is 10441313314.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 94222599849 + 319090544161 = 306957^2 + 564881^2 .

It is a super-2 number, since 2×4133131440102 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413313144019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177405 + ... + 1487584.

Almost surely, 2413313144010 is an apocalyptic number.

413313144010 is a deficient number, since it is larger than the sum of its proper divisors (388550367110).

413313144010 is a wasteful number, since it uses less digits than its factorization.

413313144010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666202.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 413313144010 its reverse (10441313314), we get a palindrome (423754457324).

The spelling of 413313144010 in words is "four hundred thirteen billion, three hundred thirteen million, one hundred forty-four thousand, ten".

Divisors: 1 2 5 10 13 26 65 130 1193 2386 5965 11930 15509 31018 77545 155090 2664989 5329978 13324945 26649890 34644857 69289714 173224285 346448570 3179331877 6358663754 15896659385 31793318770 41331314401 82662628802 206656572005 413313144010