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442426624244 = 221115166590401
BaseRepresentation
bin1100111000000101010…
…11101000100011110100
31120021222110202012011022
412130002223220203310
524222042203433434
6535125322000312
743651513154033
oct6340253504364
91507873665138
10442426624244
111606a5328120
12718b3946098
133294a36bb27
14175b0b6071a
15b79646522e
hex6702ae88f4

442426624244 has 24 divisors (see below), whose sum is σ = 850226252736. Its totient is φ = 199771200000.

The previous prime is 442426624229. The next prime is 442426624249.

442426624244 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 442426624195 and 442426624204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442426624249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33288557 + ... + 33301844.

It is an arithmetic number, because the mean of its divisors is an integer number (35426093864).

Almost surely, 2442426624244 is an apocalyptic number.

442426624244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442426624244 is a deficient number, since it is larger than the sum of its proper divisors (407799628492).

442426624244 is a wasteful number, since it uses less digits than its factorization.

442426624244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66590567 (or 66590565 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

The spelling of 442426624244 in words is "four hundred forty-two billion, four hundred twenty-six million, six hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 151 302 604 1661 3322 6644 66590401 133180802 266361604 732494411 1464988822 2929977644 10055150551 20110301102 40220602204 110606656061 221213312122 442426624244