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414433213332 = 22334536101111
BaseRepresentation
bin1100000011111100010…
…01001111101110010100
31110121201120012120112120
412001332021033232110
523242224400311312
6514215450015540
741641020122115
oct6017611175624
91417646176476
10414433213332
1114a83a821186
12683a0a175b0
133010891a268
14160b700820c
15aba8aa128c
hex607e24fb94

414433213332 has 12 divisors (see below), whose sum is σ = 967010831136. Its totient is φ = 138144404440.

The previous prime is 414433213331. The next prime is 414433213361. The reversal of 414433213332 is 233312334414.

It is a happy number.

414433213332 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 414433213293 and 414433213302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414433213331) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17268050544 + ... + 17268050567.

It is an arithmetic number, because the mean of its divisors is an integer number (80584235928).

Almost surely, 2414433213332 is an apocalyptic number.

It is an amenable number.

414433213332 is an abundant number, since it is smaller than the sum of its proper divisors (552577617804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414433213332 is a wasteful number, since it uses less digits than its factorization.

414433213332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34536101118 (or 34536101116 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 414433213332 its reverse (233312334414), we get a palindrome (647745547746).

The spelling of 414433213332 in words is "four hundred fourteen billion, four hundred thirty-three million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 34536101111 69072202222 103608303333 138144404444 207216606666 414433213332