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414243012033 = 33107437332789
BaseRepresentation
bin1100000011100101100…
…11101011110111000001
31110121020022022100102000
412001302303223313001
523241332202341113
6514144533214213
741633220335304
oct6016263536701
91417208270360
10414243012033
1114a752421124
1268349191369
13300a83b4006
1416099a56b3b
15ab97030373
hex6072cebdc1

414243012033 has 32 divisors (see below), whose sum is σ = 619589347200. Its totient is φ = 273510151488.

The previous prime is 414243012023. The next prime is 414243012037. The reversal of 414243012033 is 330210342414.

414243012033 is a `hidden beast` number, since 4 + 1 + 424 + 30 + 1 + 203 + 3 = 666.

It is not a de Polignac number, because 414243012033 - 216 = 414242946497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 414243011988 and 414243012006.

It is not an unprimeable number, because it can be changed into a prime (414243012037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12617203 + ... + 12649991.

It is an arithmetic number, because the mean of its divisors is an integer number (19362167100).

Almost surely, 2414243012033 is an apocalyptic number.

It is an amenable number.

414243012033 is a deficient number, since it is larger than the sum of its proper divisors (205346335167).

414243012033 is a wasteful number, since it uses less digits than its factorization.

414243012033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37278 (or 37272 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 414243012033 its reverse (330210342414), we get a palindrome (744453354447).

The spelling of 414243012033 in words is "four hundred fourteen billion, two hundred forty-three million, twelve thousand, thirty-three".

Divisors: 1 3 9 27 107 321 963 2889 4373 13119 32789 39357 98367 118071 295101 467911 885303 1403733 3508423 4211199 10525269 12633597 31575807 94727421 143386297 430158891 1290476673 3871430019 15342333779 46027001337 138081004011 414243012033