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42231613224 = 23331371534133
BaseRepresentation
bin100111010101001100…
…110100011100101000
311001000012020020100010
4213111030310130220
51142442243110344
631222334011520
73023352534543
oct472514643450
9131005206303
1042231613224
1116a01710099
128227346ba0
133ca0502268
142088b1785a
15117289a8b9
hex9d5334728

42231613224 has 64 divisors (see below), whose sum is σ = 111930416640. Its totient is φ = 13254900480.

The previous prime is 42231613217. The next prime is 42231613297.

42231613224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42231613191 and 42231613200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739539 + ... + 794594.

It is an arithmetic number, because the mean of its divisors is an integer number (1748912760).

Almost surely, 242231613224 is an apocalyptic number.

It is an amenable number.

42231613224 is an abundant number, since it is smaller than the sum of its proper divisors (69698803416).

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

42231613224 is a wasteful number, since it uses less digits than its factorization.

42231613224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534210 (or 1534206 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The spelling of 42231613224 in words is "forty-two billion, two hundred thirty-one million, six hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 296 372 444 744 888 1147 2294 3441 4588 6882 9176 13764 27528 1534133 3068266 4602399 6136532 9204798 12273064 18409596 36819192 47558123 56762921 95116246 113525842 142674369 170288763 190232492 227051684 285348738 340577526 380464984 454103368 570697476 681155052 1141394952 1362310104 1759650551 3519301102 5278951653 7038602204 10557903306 14077204408 21115806612 42231613224