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114441112140441 = 361631991063817
BaseRepresentation
bin11010000001010101100101…
…110101100011101010011001
3120000012110111212112222102020
4122001111211311203222121
5110000000344201443231
61043221304321525053
733051045305043522
oct3201254565435231
9500173455488366
10114441112140441
1133512226369829
1210a03554aa3789
134bb199accc338
142038d9d5cd849
15d36d21531396
hex681565d63a99

114441112140441 has 16 divisors (see below), whose sum is σ = 155335378578048. Its totient is φ = 74924424489600.

The previous prime is 114441112140391. The next prime is 114441112140491. The reversal of 114441112140441 is 144041211144411.

It is an interprime number because it is at equal distance from previous prime (114441112140391) and next prime (114441112140491).

It is not a de Polignac number, because 114441112140441 - 238 = 114166234233497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114441112140491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495416436 + ... + 495647381.

It is an arithmetic number, because the mean of its divisors is an integer number (9708461161128).

Almost surely, 2114441112140441 is an apocalyptic number.

It is an amenable number.

114441112140441 is a deficient number, since it is larger than the sum of its proper divisors (40894266437607).

114441112140441 is an equidigital number, since it uses as much as digits as its factorization.

114441112140441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991064512.

The product of its (nonzero) digits is 8192, while the sum is 33.

Adding to 114441112140441 its reverse (144041211144411), we get a palindrome (258482323284852).

The spelling of 114441112140441 in words is "one hundred fourteen trillion, four hundred forty-one billion, one hundred twelve million, one hundred forty thousand, four hundred forty-one".

Divisors: 1 3 61 183 631 1893 38491 115473 991063817 2973191451 60454892837 181364678511 625361268527 1876083805581 38147037380147 114441112140441