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16440882138 = 2321761880793
BaseRepresentation
bin11110100111111001…
…11111001111011010
31120102210102100101200
433103330333033122
5232132331212023
611315225055030
71121264122662
oct172374771732
946383370350
1016440882138
116a774a40aa
12322a027476
13172020ca35
14b1d7391a2
15663582743
hex3d3f3f3da

16440882138 has 48 divisors (see below), whose sum is σ = 38335678056. Its totient is φ = 5073361920.

The previous prime is 16440882137. The next prime is 16440882151. The reversal of 16440882138 is 83128804461.

16440882138 is a `hidden beast` number, since 164 + 408 + 82 + 1 + 3 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12195447489 + 4245434649 = 110433^2 + 65157^2 .

It is a super-3 number, since 3×164408821383 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16440882093 and 16440882102.

It is not an unprimeable number, because it can be changed into a prime (16440882131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421731 + ... + 459062.

Almost surely, 216440882138 is an apocalyptic number.

16440882138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

16440882138 is an abundant number, since it is smaller than the sum of its proper divisors (21894795918).

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

16440882138 is a wasteful number, since it uses less digits than its factorization.

16440882138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880879 (or 880876 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 16440882138 in words is "sixteen billion, four hundred forty million, eight hundred eighty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 3111 6222 9333 18666 880793 1761586 2642379 5284758 7927137 14973481 15854274 29946962 44920443 53728373 89840886 107456746 134761329 161185119 269522658 322370238 483555357 913382341 967110714 1826764682 2740147023 5480294046 8220441069 16440882138