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444060424404 = 223237333378697
BaseRepresentation
bin1100111011001000001…
…00000101100011010100
31120110012100000211122100
412131210010011203110
524233413432040104
6535555404002100
744040142220562
oct6354404054324
91513170024570
10444060424404
11161363595393
127208ab30330
1332b4a9aa49c
14176c7b32a32
15b83eade139
hex67641058d4

444060424404 has 36 divisors (see below), whose sum is σ = 1152823537684. Its totient is φ = 144019596672.

The previous prime is 444060424403. The next prime is 444060424421. The reversal of 444060424404 is 404424060444.

444060424404 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 604 + 2 + 4 + 40 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239367519504 + 204692904900 = 489252^2 + 452430^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444060424403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166688017 + ... + 166690680.

Almost surely, 2444060424404 is an apocalyptic number.

It is an amenable number.

444060424404 is an abundant number, since it is smaller than the sum of its proper divisors (708763113280).

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

444060424404 is a wasteful number, since it uses less digits than its factorization.

444060424404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333378744 (or 333378739 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 444060424404 its reverse (404424060444), we get a palindrome (848484484848).

The spelling of 444060424404 in words is "four hundred forty-four billion, sixty million, four hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 333378697 666757394 1000136091 1333514788 2000272182 3000408273 4000544364 6000816546 12001633092 12335011789 24670023578 37005035367 49340047156 74010070734 111015106101 148020141468 222030212202 444060424404