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442422424040 = 235101109510501
BaseRepresentation
bin1100111000000100110…
…11100111000111101000
31120021222011211210120012
412130002123213013220
524222040120032130
6535125051551052
743651432361402
oct6340233470750
91507864753505
10442422424040
111606a2a19483
12718b245b488
133294952b0bc
14175b0389b72
15b795dd5995
hex67026e71e8

442422424040 has 32 divisors (see below), whose sum is σ = 1005306408360. Its totient is φ = 175216800000.

The previous prime is 442422424021. The next prime is 442422424091. The reversal of 442422424040 is 40424224244.

It can be written as a sum of positive squares in 4 ways, for example, as 438824103844 + 3598320196 = 662438^2 + 59986^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442422423988 and 442422424006.

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 7 ways as a sum of consecutive naturals, for example, 54751211 + ... + 54759290.

Almost surely, 2442422424040 is an apocalyptic number.

442422424040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442422424040 is an abundant number, since it is smaller than the sum of its proper divisors (562883984320).

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

442422424040 is a wasteful number, since it uses less digits than its factorization.

442422424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109510613 (or 109510609 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 442422424040 its reverse (40424224244), we get a palindrome (482846648284).

The spelling of 442422424040 in words is "four hundred forty-two billion, four hundred twenty-two million, four hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 109510501 219021002 438042004 547552505 876084008 1095105010 2190210020 4380420040 11060560601 22121121202 44242242404 55302803005 88484484808 110605606010 221211212020 442422424040