Search a number
-
+
404112341422224 = 24322806335704321
BaseRepresentation
bin101101111100010011011110…
…0100011110101000010010000
31221222211202120220011100220200
41123320212330203311002100
5410431434033401002344
63551250351411335200
7151056103354160661
oct13370467443650220
91858752526140820
10404112341422224
11107843099600566
12393a78195b1500
131446482695c506
1471b11daadd368
1531abd51a36069
hex16f89bc8f5090

404112341422224 has 30 divisors (see below), whose sum is σ = 1130953288841766. Its totient is φ = 134704113807360.

The previous prime is 404112341422199. The next prime is 404112341422247. The reversal of 404112341422224 is 422224143211404.

404112341422224 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 1 + 2 + 3 + 4 + 1 + 422 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 282304918932624 + 121807422489600 = 16801932^2 + 11036640^2 .

It is a super-2 number, since 2×4041123414222242 (a number of 30 digits) contains 22 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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1403167852017 + ... + 1403167852304.

Almost surely, 2404112341422224 is an apocalyptic number.

It is an amenable number.

404112341422224 is an abundant number, since it is smaller than the sum of its proper divisors (726840947419542).

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

404112341422224 is a wasteful number, since it uses less digits than its factorization.

404112341422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806335704335 (or 2806335704326 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 404112341422224 its reverse (422224143211404), we get a palindrome (826336484633628).

The spelling of 404112341422224 in words is "four hundred four trillion, one hundred twelve billion, three hundred forty-one million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2806335704321 5612671408642 8419007112963 11225342817284 16838014225926 22450685634568 25257021338889 33676028451852 44901371269136 50514042677778 67352056903704 101028085355556 134704113807408 202056170711112 404112341422224