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414143221331 = 71922817136471
BaseRepresentation
bin1100000011011001101…
…11000000111001010011
31110120222100112110022002
412001230313000321103
523241131131040311
6514131010304215
741630566204310
oct6015467007123
91416870473262
10414143221331
1114a701062974
126831b88806b
1330090814868
141608a6bbd07
15ab8d3bc93b
hex606cdc0e53

414143221331 has 16 divisors (see below), whose sum is σ = 498242895360. Its totient is φ = 336279548160.

The previous prime is 414143221321. The next prime is 414143221361. The reversal of 414143221331 is 133122341414.

It is a cyclic number.

It is not a de Polignac number, because 414143221331 - 210 = 414143220307 is a prime.

It is a super-2 number, since 2×4141432213312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414143221294 and 414143221303.

It is not an unprimeable number, because it can be changed into a prime (414143221321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2966426 + ... + 3102896.

It is an arithmetic number, because the mean of its divisors is an integer number (31140180960).

Almost surely, 2414143221331 is an apocalyptic number.

414143221331 is a deficient number, since it is larger than the sum of its proper divisors (84099674029).

414143221331 is a wasteful number, since it uses less digits than its factorization.

414143221331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159314.

The product of its digits is 6912, while the sum is 29.

Adding to 414143221331 its reverse (133122341414), we get a palindrome (547265562745).

The spelling of 414143221331 in words is "four hundred fourteen billion, one hundred forty-three million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 7 19 133 22817 136471 159719 433523 955297 2592949 3034661 18150643 3113858807 21797011649 59163317333 414143221331