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418143341814 = 231119333447641
BaseRepresentation
bin1100001010110110100…
…10010000110011110110
31110222022010110122000120
412011123102100303312
523322324143414224
6520031542552410
742131660522202
oct6053322206366
91428263418016
10418143341814
11151374019670
1269057438706
133057a479063
1416349a63b02
15ad24668779
hex615b490cf6

418143341814 has 32 divisors (see below), whose sum is σ = 960329208960. Its totient is φ = 120041150400.

The previous prime is 418143341801. The next prime is 418143341821.

418143341814 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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, 166722567 + ... + 166725074.

It is an arithmetic number, because the mean of its divisors is an integer number (30010287780).

Almost surely, 2418143341814 is an apocalyptic number.

418143341814 is an abundant number, since it is smaller than the sum of its proper divisors (542185867146).

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

418143341814 is a wasteful number, since it uses less digits than its factorization.

418143341814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333447676.

The product of its digits is 147456, while the sum is 42.

It can be divided in two parts, 418143 and 341814, that added together give a palindrome (759957).

The spelling of 418143341814 in words is "four hundred eighteen billion, one hundred forty-three million, three hundred forty-one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 333447641 666895282 1000342923 2000685846 3667924051 6335505179 7335848102 11003772153 12671010358 19006515537 22007544306 38013031074 69690556969 139381113938 209071670907 418143341814