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1414133104241 = 111331259174413
BaseRepresentation
bin10100100101000000111…
…001101011111001110001
312000012010100220212202002
4110211000321223321301
5141132121033313431
63001351020103345
7204111352025414
oct24450071537161
95005110825662
101414133104241
114a58042a8730
121aa09a394b55
13a347697a450
144c63164db7b
1526bb8cd63cb
hex14940e6be71

1414133104241 has 48 divisors (see below), whose sum is σ = 1745786468160. Its totient is φ = 1128933993600.

The previous prime is 1414133104217. The next prime is 1414133104249. The reversal of 1414133104241 is 1424013314141.

It is a happy number.

It is not a de Polignac number, because 1414133104241 - 210 = 1414133103217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1414133104249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8020751 + ... + 8195163.

It is an arithmetic number, because the mean of its divisors is an integer number (36370551420).

Almost surely, 21414133104241 is an apocalyptic number.

1414133104241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1414133104241 is a deficient number, since it is larger than the sum of its proper divisors (331653363919).

1414133104241 is a wasteful number, since it uses less digits than its factorization.

1414133104241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174558 (or 174527 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 1414133104241 its reverse (1424013314141), we get a palindrome (2838146418382).

The spelling of 1414133104241 in words is "one trillion, four hundred fourteen billion, one hundred thirty-three million, one hundred four thousand, two hundred forty-one".

Divisors: 1 11 13 31 59 143 341 403 649 767 961 1829 4433 8437 10571 12493 20119 23777 56699 137423 174413 261547 623689 737087 1918543 2267369 5406803 8107957 10290367 24941059 59474833 70288439 113194037 133774771 167610893 319001377 773172829 1471522481 1843719823 2178941609 3509015147 4147017901 9889042687 23968357699 45617196911 108779469557 128557554931 1414133104241