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442488884244 = 223114139809903
BaseRepresentation
bin1100111000001100110…
…01001000110000010100
31120022010210220022211020
412130012121020300110
524222204123243434
6535135424241140
743653200313051
oct6340631106024
91508123808736
10442488884244
11160727491a70
12719107701b0
133295a22a674
14175b912a028
15b79bb62849
hex6706648c14

442488884244 has 48 divisors (see below), whose sum is σ = 1126608860160. Its totient is φ = 134054979040.

The previous prime is 442488884209. The next prime is 442488884263.

442488884244 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141397 + ... + 951299.

It is an arithmetic number, because the mean of its divisors is an integer number (23471017920).

Almost surely, 2442488884244 is an apocalyptic number.

442488884244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442488884244 is an abundant number, since it is smaller than the sum of its proper divisors (684119975916).

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

442488884244 is a wasteful number, since it uses less digits than its factorization.

442488884244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814060 (or 814058 counting only the distinct ones).

The product of its digits is 67108864, while the sum is 60.

The spelling of 442488884244 in words is "four hundred forty-two billion, four hundred eighty-eight million, eight hundred eighty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 4139 8278 12417 16556 24834 45529 49668 91058 136587 182116 273174 546348 809903 1619806 2429709 3239612 4859418 8908933 9718836 17817866 26726799 35635732 53453598 106907196 3352188517 6704377034 10056565551 13408754068 20113131102 36874073687 40226262204 73748147374 110622221061 147496294748 221244442122 442488884244