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334111104020441 = 11297114751693409
BaseRepresentation
bin100101111110111110100110…
…1101010111010111111011001
31121210222201011022011001222102
41023331331031222322333121
5322243034020112123231
63142332304450133145
7130242505423602356
oct11375751552727731
91553881138131872
10334111104020441
11975047a5a63140
1231580b788811b5
1311457707797307
145c710c6bad62d
152895ee35b7acb
hex12fdf4dabafd9

334111104020441 has 16 divisors (see below), whose sum is σ = 382363893187200. Its totient is φ = 289133190796800.

The previous prime is 334111104020381. The next prime is 334111104020453. The reversal of 334111104020441 is 144020401111433.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-334111104020441 is a prime.

It is a super-3 number, since 3×3341111040204413 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334111104025441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7375824056 + ... + 7375869353.

It is an arithmetic number, because the mean of its divisors is an integer number (23897743324200).

Almost surely, 2334111104020441 is an apocalyptic number.

It is an amenable number.

334111104020441 is a deficient number, since it is larger than the sum of its proper divisors (48252789166759).

334111104020441 is a wasteful number, since it uses less digits than its factorization.

334111104020441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14751693520.

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

Adding to 334111104020441 its reverse (144020401111433), we get a palindrome (478131505131874).

The spelling of 334111104020441 in words is "three hundred thirty-four trillion, one hundred eleven billion, one hundred four million, twenty thousand, four hundred forty-one".

Divisors: 1 11 29 71 319 781 2059 22649 14751693409 162268627499 427799108861 1047370232039 4705790197471 11521072552429 30373736729131 334111104020441