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415713440034 = 232732459128659
BaseRepresentation
bin1100000110010100111…
…00111011000100100010
31110202000210011211102100
412003022130323010202
523302340120040114
6514550501431230
742014523636354
oct6031234730442
91422023154370
10415713440034
11150337443482
126869970b516
1330280c21059
141619905d0d4
15ac31187909
hex60ca73b122

415713440034 has 48 divisors (see below), whose sum is σ = 913429389600. Its totient is φ = 136616269248.

The previous prime is 415713440011. The next prime is 415713440053. The reversal of 415713440034 is 430044317514.

415713440034 is a `hidden beast` number, since 41 + 57 + 134 + 400 + 34 = 666.

It is a super-2 number, since 2×4157134400342 (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3166797 + ... + 3295455.

It is an arithmetic number, because the mean of its divisors is an integer number (19029778950).

Almost surely, 2415713440034 is an apocalyptic number.

415713440034 is an abundant number, since it is smaller than the sum of its proper divisors (497715949566).

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

415713440034 is a wasteful number, since it uses less digits than its factorization.

415713440034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131199 (or 131196 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 415713440034 its reverse (430044317514), we get a palindrome (845757757548).

The spelling of 415713440034 in words is "four hundred fifteen billion, seven hundred thirteen million, four hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 2459 4918 7377 14754 22131 44262 128659 179507 257318 359014 385977 538521 771954 1077042 1157931 1615563 2315862 3231126 9392107 18784214 28176321 56352642 84528963 169057926 316372481 632744962 949117443 1898234886 2847352329 5694704658 23095191113 46190382226 69285573339 138571146678 207856720017 415713440034