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442481646141 = 3249164627349
BaseRepresentation
bin1100111000001011111…
…01100001101000111101
31120022010022021121000100
412130011331201220331
524222200300134031
6535135005151313
743653051635523
oct6340575415075
91508108247010
10442481646141
11160723398967
127190a25b539
1332958894c72
14175b81a4313
15b79b1d2de6
hex6705f61a3d

442481646141 has 6 divisors (see below), whose sum is σ = 639140155550. Its totient is φ = 294987764088.

The previous prime is 442481646137. The next prime is 442481646157. The reversal of 442481646141 is 141646184244.

442481646141 is a `hidden beast` number, since 4 + 4 + 24 + 8 + 1 + 6 + 4 + 614 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 415320958116 + 27160688025 = 644454^2 + 164805^2 .

It is not a de Polignac number, because 442481646141 - 22 = 442481646137 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442481646161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24582313666 + ... + 24582313683.

Almost surely, 2442481646141 is an apocalyptic number.

It is an amenable number.

442481646141 is a deficient number, since it is larger than the sum of its proper divisors (196658509409).

442481646141 is a wasteful number, since it uses less digits than its factorization.

442481646141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49164627355 (or 49164627352 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 442481646141 in words is "four hundred forty-two billion, four hundred eighty-one million, six hundred forty-six thousand, one hundred forty-one".

Divisors: 1 3 9 49164627349 147493882047 442481646141