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414131431422 = 23795641154883
BaseRepresentation
bin1100000011011000010…
…10000010011111111110
31110120221112100110120210
412001230022002133332
523241120121301142
6514125505453250
741630364041352
oct6015412023776
91416845313523
10414131431422
1114a6a543aa45
1268317941226
133008b247397
1416088ccd462
15ab8c33e49c
hex606c2827fe

414131431422 has 32 divisors (see below), whose sum is σ = 838901306880. Its totient is φ = 136271378880.

The previous prime is 414131431421. The next prime is 414131431507. The reversal of 414131431422 is 224134131414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414131431422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414131431421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2596393 + ... + 2751275.

It is an arithmetic number, because the mean of its divisors is an integer number (26215665840).

Almost surely, 2414131431422 is an apocalyptic number.

414131431422 is an abundant number, since it is smaller than the sum of its proper divisors (424769875458).

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

414131431422 is a wasteful number, since it uses less digits than its factorization.

414131431422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160608.

The product of its digits is 9216, while the sum is 30.

Adding to 414131431422 its reverse (224134131414), we get a palindrome (638265562836).

The spelling of 414131431422 in words is "four hundred fourteen billion, one hundred thirty-one million, four hundred thirty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 79 158 237 474 5641 11282 16923 33846 154883 309766 445639 464649 891278 929298 1336917 2673834 12235757 24471514 36707271 73414542 873695003 1747390006 2621085009 5242170018 69021905237 138043810474 207065715711 414131431422