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414341434444 = 22731499956617
BaseRepresentation
bin1100000011110001010…
…11001000110001001100
31110121111011111201120111
412001320223020301030
523242032401400234
6514202410525404
741635524040150
oct6017053106114
91417434451514
10414341434444
1114a7a2a35363
1268376136864
13300c28c4722
14160a8b57060
15aba09c2664
hex6078ac8c4c

414341434444 has 48 divisors (see below), whose sum is σ = 857129728000. Its totient is φ = 171502116480.

The previous prime is 414341434433. The next prime is 414341434477. The reversal of 414341434444 is 444434143414.

It is a super-2 number, since 2×4143414344442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414341434397 and 414341434406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45177 + ... + 911440.

Almost surely, 2414341434444 is an apocalyptic number.

It is an amenable number.

414341434444 is an abundant number, since it is smaller than the sum of its proper divisors (442788293556).

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

414341434444 is a wasteful number, since it uses less digits than its factorization.

414341434444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957158 (or 957156 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

Adding to 414341434444 its reverse (444434143414), we get a palindrome (858775577858).

The spelling of 414341434444 in words is "four hundred fourteen billion, three hundred forty-one million, four hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 499 868 998 1996 3493 6986 13972 15469 30938 61876 108283 216566 433132 956617 1913234 3826468 6696319 13392638 26785276 29655127 59310254 118620508 207585889 415171778 477351883 830343556 954703766 1909407532 3341463181 6682926362 13365852724 14797908373 29595816746 59191633492 103585358611 207170717222 414341434444