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61440241014 = 23642140083
BaseRepresentation
bin111001001110000111…
…111010110101110110
312212120212122122000000
4321032013322311312
52001312200203024
644120353332130
74303355301045
oct711607726566
9185525578000
1061440241014
1124069461499
12baa8267046
135a41c580c9
142d8bc7c55c
1518e8de5cc9
hexe4e1fad76

61440241014 has 28 divisors (see below), whose sum is σ = 138177335436. Its totient is φ = 20480079852.

The previous prime is 61440241013. The next prime is 61440241019. The reversal of 61440241014 is 41014204416.

61440241014 is a `hidden beast` number, since 614 + 4 + 0 + 2 + 41 + 0 + 1 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61440241013) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21068584 + ... + 21071499.

It is an arithmetic number, because the mean of its divisors is an integer number (4934904837).

Almost surely, 261440241014 is an apocalyptic number.

61440241014 is an abundant number, since it is smaller than the sum of its proper divisors (76737094422).

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

61440241014 is an equidigital number, since it uses as much as digits as its factorization.

61440241014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42140103 (or 42140088 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 61440241014 in words is "sixty-one billion, four hundred forty million, two hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 42140083 84280166 126420249 252840498 379260747 758521494 1137782241 2275564482 3413346723 6826693446 10240040169 20480080338 30720120507 61440241014