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414223133431 = 1961357397009
BaseRepresentation
bin1100000011100011001…
…11110110101011110111
31110121011220220102002111
412001301213312223313
523241312110232211
6514142543151451
741632556353222
oct6016147665367
91417156812074
10414223133431
1114a742184028
12683425a5587
13300a4243c23
14160971605b9
15ab95405421
hex60719f6af7

414223133431 has 8 divisors (see below), whose sum is σ = 443172292400. Its totient is φ = 385988768640.

The previous prime is 414223133417. The next prime is 414223133449. The reversal of 414223133431 is 134331322414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414223133431 - 215 = 414223100663 is a prime.

It is a super-4 number, since 4×4142231334314 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414223133393 and 414223133402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414223133491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178697346 + ... + 178699663.

It is an arithmetic number, because the mean of its divisors is an integer number (55396536550).

Almost surely, 2414223133431 is an apocalyptic number.

414223133431 is a deficient number, since it is larger than the sum of its proper divisors (28949158969).

414223133431 is a wasteful number, since it uses less digits than its factorization.

414223133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357397089.

The product of its digits is 20736, while the sum is 31.

Adding to 414223133431 its reverse (134331322414), we get a palindrome (548554455845).

The spelling of 414223133431 in words is "four hundred fourteen billion, two hundred twenty-three million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 19 61 1159 357397009 6790543171 21801217549 414223133431