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442431100041043 = 34710354912313181
BaseRepresentation
bin110010010011000111000010…
…0100011100011011101010011
32011000112000000001211010102011
41210212032010203203131103
5430442242343102303133
64204550012542203351
7162122410050260641
oct14446160443433523
92130460001733364
10442431100041043
11118a76a80900003
1241756140283557
1315cb40c5c46559
147b37acad30191
1536239acbdd6cd
hex19263848e3753

442431100041043 has 8 divisors (see below), whose sum is σ = 443710438642800. Its totient is φ = 441151786273440.

The previous prime is 442431100041041. The next prime is 442431100041053. The reversal of 442431100041043 is 340140001134244.

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 442431100041043 - 21 = 442431100041041 is a prime.

It is a super-3 number, since 3×4424311000410433 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442431100040996 and 442431100041014.

It is not an unprimeable number, because it can be changed into a prime (442431100041041) 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, 29774913 + ... + 42088093.

It is an arithmetic number, because the mean of its divisors is an integer number (55463804830350).

Almost surely, 2442431100041043 is an apocalyptic number.

442431100041043 is a deficient number, since it is larger than the sum of its proper divisors (1279338601757).

442431100041043 is a wasteful number, since it uses less digits than its factorization.

442431100041043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12417077.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 442431100041043 its reverse (340140001134244), we get a palindrome (782571101175287).

The spelling of 442431100041043 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred million, forty-one thousand, forty-three".

Divisors: 1 347 103549 12313181 35931503 4272673807 1275017579369 442431100041043