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444010240404 = 223212333617789
BaseRepresentation
bin1100111011000010001…
…00101001100110010100
31120110001211121020010200
412131201010221212110
524233313110143104
6535550412220500
744035662525543
oct6354104514624
91513054536120
10444010240404
11161338229405
127207616a730
1332b40489403
14176c11cc15a
15b83a4c9b39
hex6761129994

444010240404 has 18 divisors (see below), whose sum is σ = 1122359218890. Its totient is φ = 148003413456.

The previous prime is 444010240391. The next prime is 444010240447. The reversal of 444010240404 is 404042010444.

444010240404 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 10 + 240 + 404 = 666.

It can be written as a sum of positive squares in only one way, i.e., 338430735504 + 105579504900 = 581748^2 + 324930^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6166808859 + ... + 6166808930.

Almost surely, 2444010240404 is an apocalyptic number.

It is an amenable number.

444010240404 is an abundant number, since it is smaller than the sum of its proper divisors (678348978486).

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

444010240404 is a wasteful number, since it uses less digits than its factorization.

444010240404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333617799 (or 12333617794 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 444010240404 its reverse (404042010444), we get a palindrome (848052250848).

The spelling of 444010240404 in words is "four hundred forty-four billion, ten million, two hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 12333617789 24667235578 37000853367 49334471156 74001706734 111002560101 148003413468 222005120202 444010240404