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444113022110130 = 23255393105455369
BaseRepresentation
bin110010011111010110001111…
…0111011000100100110110010
32011020110210100002220220111100
41210332230132323010212302
5431202321432130011010
64212314412241225230
7162355051462053402
oct14476543673044662
92136423302826440
10444113022110130
11119565302a8451a
12419880b4632216
13160a68a8264089
147b95283766802
1536525eb3ad2c0
hex193eb1eec49b2

444113022110130 has 48 divisors (see below), whose sum is σ = 1176480534055320. Its totient is φ = 116195608299264.

The previous prime is 444113022110129. The next prime is 444113022110159. The reversal of 444113022110130 is 31011220311444.

It is a happy number.

444113022110130 is a `hidden beast` number, since 4 + 4 + 4 + 11 + 302 + 211 + 0 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 397319665228641 + 46793356881489 = 19932879^2 + 6840567^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444113022110094 and 444113022110103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46552722915 + ... + 46552732454.

Almost surely, 2444113022110130 is an apocalyptic number.

444113022110130 is an abundant number, since it is smaller than the sum of its proper divisors (732367511945190).

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

444113022110130 is a wasteful number, since it uses less digits than its factorization.

444113022110130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93105455435 (or 93105455432 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 444113022110130 its reverse (31011220311444), we get a palindrome (475124242421574).

The spelling of 444113022110130 in words is "four hundred forty-four trillion, one hundred thirteen billion, twenty-two million, one hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 93105455369 186210910738 279316366107 465527276845 558632732214 837949098321 931054553690 1396581830535 1675898196642 2793163661070 4189745491605 4934589134557 8379490983210 9869178269114 14803767403671 24672945672785 29607534807342 44411302211013 49345891345570 74018837018355 88822604422026 148037674036710 222056511055065 444113022110130