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42262377326224 = 2411240127143899
BaseRepresentation
bin10011001101111111110011…
…11111001110011010010000
312112122020120202000001000121
421212333321333032122100
521014411322043414344
6225515022414000024
711621233052033536
oct1146777177163220
9175566522001017
1042262377326224
111251441224a530
1248a68947a6014
131a7742c285693
14a6171d53a156
154d451c469684
hex266ff9fce690

42262377326224 has 20 divisors (see below), whose sum is σ = 89327297530800. Its totient is φ = 19210171511840.

The previous prime is 42262377326189. The next prime is 42262377326249.

42262377326224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×422623773262242 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120063571774 + ... + 120063572125.

It is an arithmetic number, because the mean of its divisors is an integer number (4466364876540).

Almost surely, 242262377326224 is an apocalyptic number.

42262377326224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42262377326224 is an abundant number, since it is smaller than the sum of its proper divisors (47064920204576).

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

42262377326224 is a wasteful number, since it uses less digits than its factorization.

42262377326224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240127143918 (or 240127143912 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 52.

The spelling of 42262377326224 in words is "forty-two trillion, two hundred sixty-two billion, three hundred seventy-seven million, three hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 240127143899 480254287798 960508575596 1921017151192 2641398582889 3842034302384 5282797165778 10565594331556 21131188663112 42262377326224