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414414043423011 = 322313914402879207
BaseRepresentation
bin101111000111010000100100…
…1110110010010000100100011
32000100022121002012221020122100
41132032201021312102010203
5413304224430104014021
64025215103333341443
7153201266215325232
oct13616411166220443
92010277065836570
10414414043423011
111100550108401a5
123a590274797883
1314a310cc413798
147449a65016b19
1532d9cd8784626
hex178e849d92123

414414043423011 has 24 divisors (see below), whose sum is σ = 629117763805440. Its totient is φ = 262362847616496.

The previous prime is 414414043423007. The next prime is 414414043423013. The reversal of 414414043423011 is 110324340414414.

414414043423011 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 1 + 4 + 0 + 4 + 342 + 301 + 1 = 666.

It is not a de Polignac number, because 414414043423011 - 22 = 414414043423007 is a prime.

It is a super-3 number, since 3×4144140434230113 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (414414043423013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7201410831 + ... + 7201468376.

It is an arithmetic number, because the mean of its divisors is an integer number (26213240158560).

Almost surely, 2414414043423011 is an apocalyptic number.

414414043423011 is a deficient number, since it is larger than the sum of its proper divisors (214703720382429).

414414043423011 is a wasteful number, since it uses less digits than its factorization.

414414043423011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14402879375 (or 14402879372 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 414414043423011 its reverse (110324340414414), we get a palindrome (524738383837425).

The spelling of 414414043423011 in words is "four hundred fourteen trillion, four hundred fourteen billion, forty-three million, four hundred twenty-three thousand, eleven".

Divisors: 1 3 9 23 69 139 207 417 1251 3197 9591 28773 14402879207 43208637621 129625912863 331266221761 993798665283 2002000209773 2981395995849 6006000629319 18018001887957 46046004824779 138138014474337 414414043423011