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41412330414 = 23271325282253
BaseRepresentation
bin100110100100010111…
…100000001110101110
310221220002121100121100
4212210113200032232
51134303024033124
631005145543530
72664144000120
oct464427401656
9127802540540
1041412330414
11166211a9864
128038aa4ba6
133b9c85a530
14200bdad210
1511259b51c9
hex9a45e03ae

41412330414 has 48 divisors (see below), whose sum is σ = 110432885472. Its totient is φ = 10921932864.

The previous prime is 41412330413. The next prime is 41412330419. The reversal of 41412330414 is 41403321414.

41412330414 is a `hidden beast` number, since 4 + 14 + 1 + 233 + 0 + 414 = 666.

It is a super-2 number, since 2×414123304142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41412330413) by changing a digit.

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, 12639489 + ... + 12642764.

It is an arithmetic number, because the mean of its divisors is an integer number (2300685114).

Almost surely, 241412330414 is an apocalyptic number.

41412330414 is an abundant number, since it is smaller than the sum of its proper divisors (69020555058).

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

41412330414 is a wasteful number, since it uses less digits than its factorization.

41412330414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25282281 (or 25282278 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41412330414 its reverse (41403321414), we get a palindrome (82815651828).

The spelling of 41412330414 in words is "forty-one billion, four hundred twelve million, three hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 25282253 50564506 75846759 151693518 176975771 227540277 328669289 353951542 455080554 530927313 657338578 986007867 1061854626 1592781939 1972015734 2300685023 2958023601 3185563878 4601370046 5916047202 6902055069 13804110138 20706165207 41412330414