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444422026404 = 2235457224307
BaseRepresentation
bin1100111011110011001…
…11011111010010100100
31120111010112110010100000
412131321213133102210
524240134014321104
6540055322221300
744052122616036
oct6357147372244
91514115403300
10444422026404
11161529714314
1272170054830
1332ba7896475
141771db7dc56
15b86171a639
hex67799df4a4

444422026404 has 36 divisors (see below), whose sum is σ = 1165007536784. Its totient is φ = 148140675144.

The previous prime is 444422026387. The next prime is 444422026439. The reversal of 444422026404 is 404620224444.

444422026404 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 2 + 2 + 0 + 2 + 640 + 4 = 666.

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

It is a super-3 number, since 3×4444220264043 (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228611182 + ... + 228613125.

Almost surely, 2444422026404 is an apocalyptic number.

It is an amenable number.

444422026404 is an abundant number, since it is smaller than the sum of its proper divisors (720585510380).

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

444422026404 is a wasteful number, since it uses less digits than its factorization.

444422026404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457224326 (or 457224312 counting only the distinct ones).

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

The spelling of 444422026404 in words is "four hundred forty-four billion, four hundred twenty-two million, twenty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 457224307 914448614 1371672921 1828897228 2743345842 4115018763 5486691684 8230037526 12345056289 16460075052 24690112578 37035168867 49380225156 74070337734 111105506601 148140675468 222211013202 444422026404