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444044040399 = 321087211321481
BaseRepresentation
bin1100111011000110001…
…01100101100011001111
31120110011012012110000100
412131203011211203033
524233400233243044
6535554020502143
744036553032031
oct6354305454317
91513135173010
10444044040399
11161355314893
127208554a953
1332b47491bcb
14176c58a9c51
15b83d454869
hex67631658cf

444044040399 has 24 divisors (see below), whose sum is σ = 642320736512. Its totient is φ = 295603292160.

The previous prime is 444044040389. The next prime is 444044040431. The reversal of 444044040399 is 993040440444.

444044040399 is a `hidden beast` number, since 44 + 40 + 440 + 40 + 3 + 99 = 666.

It is not a de Polignac number, because 444044040399 - 220 = 444042991823 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444044040379) 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, 20660739 + ... + 20682219.

Almost surely, 2444044040399 is an apocalyptic number.

444044040399 is a deficient number, since it is larger than the sum of its proper divisors (198276696113).

444044040399 is a wasteful number, since it uses less digits than its factorization.

444044040399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24687 (or 24684 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 444044040399 in words is "four hundred forty-four billion, forty-four million, forty thousand, three hundred ninety-nine".

Divisors: 1 3 9 1087 2113 3261 6339 9783 19017 21481 64443 193329 2296831 6890493 20671479 23349847 45389353 70049541 136168059 210148623 408504177 49338226711 148014680133 444044040399