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114241945181627 = 3113169114070537
BaseRepresentation
bin11001111110011100000110…
…100011111001110110111011
3112222111102102120210011121002
4121332130012203321312323
5104433220000431303002
61042550005230435215
733030464620606154
oct3176340643716673
9488442376704532
10114241945181627
113344581185681a
1210990a30362b0b
134b98c7a461353
14202d4a7dd892b
15d31a662ae002
hex67e7068f9dbb

114241945181627 has 16 divisors (see below), whose sum is σ = 118844599762944. Its totient is φ = 109696874664000.

The previous prime is 114241945181563. The next prime is 114241945181687. The reversal of 114241945181627 is 726181549142411.

It is a cyclic number.

It is not a de Polignac number, because 114241945181627 - 26 = 114241945181563 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114241945181687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26030303 + ... + 30100839.

It is an arithmetic number, because the mean of its divisors is an integer number (7427787485184).

Almost surely, 2114241945181627 is an apocalyptic number.

114241945181627 is a deficient number, since it is larger than the sum of its proper divisors (4602654581317).

114241945181627 is a wasteful number, since it uses less digits than its factorization.

114241945181627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077610.

The product of its digits is 3870720, while the sum is 56.

The spelling of 114241945181627 in words is "one hundred fourteen trillion, two hundred forty-one billion, nine hundred forty-five million, one hundred eighty-one thousand, six hundred twenty-seven".

Divisors: 1 31 131 4061 6911 214241 905341 4070537 28065571 126186647 533240347 16530450757 28131481207 872075917417 3685224038117 114241945181627