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442723327244 = 221176129132169
BaseRepresentation
bin1100111000101000101…
…11011101110100001100
31120022202011001021011022
412130110113131310030
524223144132432434
6535215001213312
743662045122252
oct6342427356414
91508664037138
10442723327244
1116083785a510
1271977191238
1332996984033
14175dc3165d2
15b7b252222e
hex67145ddd0c

442723327244 has 24 divisors (see below), whose sum is σ = 845216576400. Its totient is φ = 201233710080.

The previous prime is 442723327217. The next prime is 442723327283.

442723327244 is nontrivially palindromic in base 10.

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 = 442723327195 and 442723327204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3283592 + ... + 3415760.

It is an arithmetic number, because the mean of its divisors is an integer number (35217357350).

Almost surely, 2442723327244 is an apocalyptic number.

442723327244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442723327244 is a deficient number, since it is larger than the sum of its proper divisors (402493249156).

442723327244 is a wasteful number, since it uses less digits than its factorization.

442723327244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208313 (or 208311 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 44.

It can be divided in two parts, 442723 and 327244, that added together give a palindrome (769967).

The spelling of 442723327244 in words is "four hundred forty-two billion, seven hundred twenty-three million, three hundred twenty-seven thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 76129 132169 152258 264338 304516 528676 837419 1453859 1674838 2907718 3349676 5815436 10061893801 20123787602 40247575204 110680831811 221361663622 442723327244