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414114020411 = 72132215323227
BaseRepresentation
bin1100000011010110001…
…11100111110000111011
31110120220022120220011112
412001223013213300323
523241101142123121
6514124044350535
741630063044400
oct6015307476073
91416808526145
10414114020411
1114a696628883
1268311b4544b
133008775c500
141608687a2a7
15ab8aa5075b
hex606b1e7c3b

414114020411 has 36 divisors (see below), whose sum is σ = 521895391272. Its totient is φ = 327484370304.

The previous prime is 414114020387. The next prime is 414114020417. The reversal of 414114020411 is 114020411414.

It is not a de Polignac number, because 414114020411 - 26 = 414114020347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414114020417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17817380 + ... + 17840606.

It is an arithmetic number, because the mean of its divisors is an integer number (14497094202).

Almost surely, 2414114020411 is an apocalyptic number.

414114020411 is a deficient number, since it is larger than the sum of its proper divisors (107781370861).

414114020411 is a wasteful number, since it uses less digits than its factorization.

414114020411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25420 (or 25400 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 414114020411 its reverse (114020411414), we get a palindrome (528134431825).

The spelling of 414114020411 in words is "four hundred fourteen billion, one hundred fourteen million, twenty thousand, four hundred eleven".

Divisors: 1 7 13 49 91 169 637 1183 2153 8281 15071 23227 27989 105497 162589 195923 301951 363857 1138123 1371461 2113657 2546999 3925363 14795599 17828993 27477541 50007731 192342787 350054117 650100503 2450378819 4550703521 8451306539 31854924647 59159145773 414114020411