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442431100041042 = 237103102272561267
BaseRepresentation
bin110010010011000111000010…
…0100011100011011101010010
32011000112000000001211010102010
41210212032010203203131102
5430442242343102303132
64204550012542203350
7162122410050260640
oct14446160443433522
92130460001733363
10442431100041042
11118a76a80900002
1241756140283556
1315cb40c5c46558
147b37acad30190
1536239acbdd6cc
hex19263848e3752

442431100041042 has 32 divisors (see below), whose sum is σ = 1021089251699712. Its totient is φ = 125181614989584.

The previous prime is 442431100041041. The next prime is 442431100041053. The reversal of 442431100041042 is 240140001134244.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (442431100041041) 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, 51136276308 + ... + 51136284959.

It is an arithmetic number, because the mean of its divisors is an integer number (31909039115616).

Almost surely, 2442431100041042 is an apocalyptic number.

442431100041042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

442431100041042 is an abundant number, since it is smaller than the sum of its proper divisors (578658151658670).

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

442431100041042 is a wasteful number, since it uses less digits than its factorization.

442431100041042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102272561382.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 442431100041042 its reverse (240140001134244), we get a palindrome (682571101175286).

The spelling of 442431100041042 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred million, forty-one thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 103 206 309 618 721 1442 2163 4326 102272561267 204545122534 306817683801 613635367602 715907928869 1431815857738 2147723786607 4295447573214 10534073810501 21068147621002 31602221431503 63204442863006 73738516673507 147477033347014 221215550020521 442431100041042